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Journal of International
Academic Research for Multidisciplinary
ISSN 2320 -5083
A Scholarly, Peer Reviewed, Monthly, Open Access, Online Research Journal
Impact Factor – 1.393
VOLUME 1 ISSUE 11 DECEMBER 2013
A GLOBAL SOCIETY FOR MULTIDISCIPLINARY RESEARCH
www.jiarm.com
A GREEN PUBLISHING HOUSE
Editorial Board
Dr. Kari Jabbour, Ph.D
Curriculum Developer,
American College of Technology,
Missouri, USA.
Er.Chandramohan, M.S
System Specialist - OGP
ABB Australia Pvt. Ltd., Australia.
Dr. S.K. Singh
Chief Scientist
Advanced Materials Technology Department
Institute of Minerals & Materials Technology
Bhubaneswar, India
Dr. Jake M. Laguador
Director, Research and Statistics Center,
Lyceum of the Philippines University,
Philippines.
Prof. Dr. Sharath Babu, LLM Ph.D
Dean. Faculty of Law,
Karnatak University Dharwad,
Karnataka, India
Dr.S.M Kadri, MBBS, MPH/ICHD,
FFP Fellow, Public Health Foundation of India
Epidemiologist Division of Epidemiology and Public Health,
Kashmir, India
Dr.Bhumika Talwar, BDS
Research Officer
State Institute of Health & Family Welfare
Jaipur, India
Dr. Tej Pratap Mall Ph.D
Head, Postgraduate Department of Botany,
Kisan P.G. College, Bahraich, India.
Dr. Arup Kanti Konar, Ph.D
Associate Professor of Economics Achhruram,
Memorial College,
SKB University, Jhalda,Purulia,
West Bengal. India
Dr. S.Raja Ph.D
Research Associate,
Madras Research Center of CMFR ,
Indian Council of Agricultural Research,
Chennai, India
Dr. Vijay Pithadia, Ph.D,
Director - Sri Aurobindo Institute of Management
Rajkot, India.
Er. R. Bhuvanewari Devi M. Tech, MCIHT
Highway Engineer, Infrastructure,
Ramboll, Abu Dhabi, UAE
Sanda Maican, Ph.D.
Senior Researcher,
Department of Ecology, Taxonomy and Nature Conservation
Institute of Biology of the Romanian Academy,
Bucharest, Romania
Dr. Reynalda B. Garcia
Professor, Graduate School &
College of Education, Arts and Sciences
Lyceum of the Philippines University
Philippines
Dr.Damarla Bala Venkata Ramana
Senior Scientist
Central Research Institute for Dryland Agriculture (CRIDA)
Hyderabad, A.P, India
PROF. Dr.S.V.Kshirsagar, M.B.B.S,M.S
Head - Department of Anatomy,
Bidar Institute of Medical Sciences,
Karnataka, India.
Dr Asifa Nazir, M.B.B.S, MD,
Assistant Professor, Dept of Microbiology
Government Medical College, Srinagar, India.
Dr.AmitaPuri, Ph.D
Officiating Principal
Army Inst. Of Education
New Delhi, India
Dr. Shobana Nelasco Ph.D
Associate Professor,
Fellow of Indian Council of Social Science
Research (On Deputation},
Department of Economics,
Bharathidasan University, Trichirappalli. India
M. Suresh Kumar, PHD
Assistant Manager,
Godrej Security Solution,
India.
Dr.T.Chandrasekarayya,Ph.D
Assistant Professor,
Dept Of Population Studies & Social Work,
S.V.University, Tirupati, India.
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UNIFIED APPROACH FOR ENHANCING READY MIXED CONCRETE UTILITY
BY ANALYTIC HIERARCHY PROCESS (AHP) IN CHAROTOR REGION OF
CENTRAL GUJARAT
AMARSINH B. PRAJAPATI*
SACHIN P. PANCHAL**
BHARAT B. LADVA***
ASHISH H. MAKWANA****
JAYESHKUMAR PITRODA*****
* Final Year B. E. Civil Engg., B.V.M. Engg. College, Vallabh Vidyanagar, Gujarat India
** Final Year B. E. Civil Engg., B.V.M. Engg. College, Vallabh Vidyanagar, Gujarat India
*** Final Year B. E. Civil Engg., B.V.M. Engg. College, Vallabh Vidyanagar, Gujarat India
**** Final Year M.E. C. E. & M., B.V.M. Engg. College, Vallabh Vidyanagar, Gujarat, India
*****Assistant Professor & Research Scholar, Dept. of Civil Engg., B.V.M. Engg. College, Vallabh Vidyanagar, Gujarat, India
ABSTRACT
The Analytic Hierarchy Process (AHP) is very useful in involving several decision-
makers with different conflicting objectives to arrive at a consensus decision. This method
was developed by Dr. Thomas L. Saaty in 1970s as a tool to help with solving technical and
managerial problems. Concrete is a mixture of three basic ingredients: sand, gravel (crushed
stone) and cement, as well as chemical compounds known as admixtures. Combining this
mixture with water causes the cement to undergo an exothermic chemical reaction called
hydration, turning cement into a hard paste that binds the sand and gravel together. Ready
Mixed Concrete: Concrete which is mixed with water at a plant and transported directly to a
construction site. Ready Mixed is a perishable product that needs to be delivered within an
hour and a half before it becomes too stiff to be workable. Concrete is also very cheap for its
weight. Present Approach of Ready Mixed Concrete selection has certain shortcomings.
Present Approach does not consider multiple objectives and not collect sufficient data to
evaluate the Ready Mixed Concrete. These shortcomings were improved by application of
scientific technique such as Analytical Hierarchy Process (AHP).
KEYWORDS: Analytic Hierarchy Process, Decision, Concrete, Ready Mixed Concrete,
Present Approach, Scientific Technique.
INTRODUCTION
Ready Mixed Concrete (IS: 4926-2003) as “Concrete mixed in a stationary mixer in a
central batching and mixing plant or in a truck mixer and supplied in the fresh condition to
the purchaser either at the site or into the purchaser’s vehicles.”
Ready Mixed Concrete (RMC) is delivered to the worksite, often in transit mixers capable of
mixing the ingredients of the concrete just before the delivery of a batch. This results in a
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precise mixture, allowing specialty concrete mixtures to be developed and implemented on
construction sites. The second option available is to mix the concrete at the batching plant
and deliver the mixed concrete to the site in an agitator truck, which keeps the mixed
concrete in correct form.
Ready Mixed Concrete (RMC) is preferred to onsite concrete mixing because of the precision
of the mixture and reduced work site confusion. It facilitates speedy construction through
programmed delivery at the site and mechanized operation with consequent economy. It also
decreases labor, site supervising cost and project time, resulting in savings. Proper control
and economy in use of raw material results in saving of natural resources. It assures
consistent quality through accurate computerized control of aggregates and water as per mix
designs. It minimizes cement wastage due to bulk handling and there is no dust problem and
therefore, pollution-free.
Fig. 1: Modern Ready Mixed Concrete Plant
(Source: JAGAJI Construction Janta Circle, Opp. Elecon Company, Vallabh Vidyanagar –
Anand –Gujarat)
LITERATURE REVIEW
Ready Mixed Concrete was first patented in Germany in 1903, but a means of transporting
was not sufficiently developed by then to enable the concept to be utilized commercially. The
first commercial delivery of Ready Mixed Concrete was made in Baltimore, USA in 1913
and first revolving-drum-type transit mixer, of a much smaller capacity than those available
today, was born in 1926. In 1920s and 1930s, Ready Mixed Concrete was introduced in some
European countries.
Ready Mixed Concrete plants arrived in India in the early 1950s, but their use was restricted
to only major construction projects such as dams. Later Ready Mixed Concrete was also used
for other projects such as construction of long-span bridges, industrial complexes, etc. There
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were, however, captive plants which formed an integral part of the construction project. It
was during 1970s when the Indian construction industry spread its tentacles overseas,
particularly in the Gulf region, that an awareness of Ready Mixed Concrete was created
among Indian engineers, contractors and builders. Indian contractors in their works abroad
started using Ready Mixed Concrete plants of 15 to 60 m3
/h and some of these plant were
brought to India in 1980s. Currently there are Approx. 50 Ready Mixed Concrete Plants
operating in different parts of Central Gujarat of India.
Ready Mixed Concrete (RMC) is a specialized material in which cement, aggregate, and
other ingredients are weight batched at a plant in a central or a truck mixer before delivery to
the construction site in a condition ready for placing by the customer. RMC is manufactured
at a place away from the construction site, the two locations being linked by a transport
operation.
Basic requirement for growth of the industry: - Government bodies, private builders,
architects/engineers, contractors and individuals are to be made fully aware about the
advantages of using Ready Mixed Concrete. Government bodies / consultants to include
Ready Mixed Concrete as mandatory in their specification for execution.
It is never expected that a Ready Mixed Concrete can be perfect, meeting all Ready Mixed
Concrete selection criteria. For example, Ready Mixed Concrete may have a high quality, but
the cost of the Ready Mixed Concrete may not be the lowest. On the other hand, another
Ready Mixed Concrete cost may be the lowest, this is very good for a company, but at the
same time the delivery performance may be the worst. As seen from the example, for making
good decisions, the Ready Mixed Concrete selection process must be handled systematically.
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FRAMEWORK OF READY MIXED CONCRETE
Fig. 2: Framework for Ready Mixed Concrete Selection Criteria
(Source: Ashish H. Makwana, Prof. Jayeshkumar Pitroda, “An Approach for Ready Mixed
Concrete Selection for Construction Companies through Analytic Hierarchy Process”, Impact
Factor 0.537, ISSN: 2231-5381, International Journal of Engineering Trends and Technology
(IJETT), Volume - 4, Issue - 7, July - 2013, PG. 2878 – 2884, Vallabh Vidyanagar– Gujarat –
India)
 ABRAVIATION:
 QC - Quality Control
 QM - Quality of Material
 S & C - Standard & Certification
 CS - Cost
 DC - Direct cost
 IC - Indirect cost
 DL - Delivery
 LC - Location
 STM - Size of Transit Mixture
 DLT - Delivery Lead Time
 TC - Time Consuming
 QN - Quantity
 LQ - Large quantity
 SQ - Small (Less) quantity
 MP - Manpower
 SP - Skill person
 UP - Unskilled person
 TS - Technical staff
 MN - Manager
 SM - Safety Measures
 LS - Labor Safety
 ES - Equipment Safety
 AC - Accidents
 FC - Financial Capability
 PT - Profit Trends
 TO - Turnover
 BH - Banking History
 APB - Amount of Past Business
 CC - Commercial Capability
 SA / UA - Sales / Utilization
area (For Buildings, Road,
Canal, Bridges, & other
Industries)
 SP - Sales Policy
 RS - Responsiveness
 DI - Discipline
 EN - Environment
 RP - Reputation & Position
 LB - Laboratory
 GN - General
 TF - Test Facility
 TP - Testing Procedures
 PN - Personnel
 MC - Managerial Capability
 OS - Organization Structure
 TOD - Type of Decision Maker
 DOW - Direction of Work
 MT - Maintenance
 CF - Customers Feedback
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ABOUT ANALYTIC HIERARCHY PROCESS
The analytic hierarchy process (AHP) is a structured technique for organizing and analyzing
complex decisions. Based on mathematics and psychology, it was developed by Thomas L.
Saaty in the 1970s and has been extensively studied and refined since then.
It has particular application in group decision making, and is used around the world in a wide
variety of decision situations, in fields such as government, business, industry, healthcare,
and education.
Rather than prescribing a "correct" decision, the AHP helps decision makers find one that
best suits their goals and their understanding of the problem. It provides a comprehensive and
rational framework for structuring a decision problem, for representing and quantifying its
elements, for relating those elements to overall goals, and for evaluating alternative solutions.
Users of the AHP first decompose their decision problem into a hierarchy of more easily
comprehended sub-problems, each of which can be analyzed independently. The elements of
the hierarchy can relate to any aspect of the decision problem-tangible or intangible, carefully
measured or roughly estimated, well or poorly-understood-anything at all that applies to the
decision at hand.
Once the hierarchy is built, the decision makers systematically evaluate its various elements
by comparing them to one another two at a time, with respect to their impact on an element
above them in the hierarchy. In making the comparisons, the decision makers can use
concrete data about the elements, but they typically use their judgments about the elements'
relative meaning and importance. It is the essence of the AHP that human judgments, and not
just the underlying information, can be used in performing the evaluations.
The AHP converts these evaluations to numerical values that can be processed and compared
over the entire range of the problem. A numerical weight or priority is derived for each
element of the hierarchy, allowing diverse and often incommensurable elements to be
compared to one another in a rational and consistent way. This capability distinguishes the
AHP from other decision making techniques.
In the final step of the process, numerical priorities are calculated for each of the decision
alternatives. These numbers represent the alternatives' relative ability to achieve the decision
goal, so they allow a straightforward consideration of the various courses of action.
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APPLICATION OF ANALYTIC HIERARCHY PROCESS
It is widely used for decision making. Decision situations to which the AHP can be applied
include:
 Choice - The selection of one alternative from a given set of alternatives, usually where
there are multiple decision criteria involved.
 Ranking - Putting a set of alternatives in order from most to least desirable
 Prioritization - Determining the relative merit of members of a set of alternatives, as
opposed to selecting a single one or merely ranking them
 Resource allocation - Apportioning resources among a set of alternatives
 Benchmarking - Comparing the processes in one's own organization with those of other
best-of-breed organizations
 Quality management - Dealing with the multidimensional aspects of quality and quality
improvement
 Conflict resolution - Settling disputes between parties with apparently incompatible goals
or positions
PROCESS OF ANALYTICAL HIERARCHY PROCESS TECHNIQUE
The procedure for using the AHP can be summarized as:
 Model the problem as a hierarchy containing the decision goal, the alternatives for
reaching it, and the criteria for evaluating the alternatives.
 Establish priorities among the elements of the hierarchy by making a series of judgments
based on pairwise comparisons of the elements. For example, when comparing potential
real-estate purchases, the investors might say they prefer location over price and price
over timing.
 Synthesize these judgments to yield a set of overall priorities for the hierarchy.
 Check the consistency of the judgments.
 Come to a final decision based on the results of this process.
MODEL THE PROBLEM AS A HIERARCHY
The first step in the analytic hierarchy process is to model the problem as a hierarchy. In
doing this, participants explore the aspects of the problem at levels from general to detailed,
then express it in the multileveled way that the AHP requires. As they work to build the
hierarchy, they increase their understanding of the problem, of its context, and of each other's
thoughts and feelings about both.
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HIERARCHIES DEFINED
A hierarchy is a stratified system of ranking and organizing people, things, ideas, etc., where
each element of the system, except for the top one, is subordinate to one or more other
elements. Though the concept of hierarchy is easily grasped intuitively, it can also be
described mathematically. Diagrams of hierarchies are often shaped roughly like pyramids,
but other than having a single element at the top, there is nothing necessarily pyramid-shaped
about a hierarchy.
Human organizations are often structured as hierarchies, where the hierarchical system is
used for assigning responsibilities, exercising leadership, and facilitating communication.
Familiar hierarchies of "things" include a desktop computer's tower unit at the "top", with its
subordinate monitor, keyboard, and mouse "below."
In the world of ideas, researchers use hierarchies to help us acquire detailed knowledge of
complex reality: researchers structure the reality into its constituent parts, and these in turn
into their own constituent parts, proceeding down the hierarchy as many levels as researchers
care to. At each step, researchers focus on understanding a single component of the whole,
temporarily disregarding the other components at this and all other levels. This AHP process
increases our global understanding of whatever complex reality studying.
Think of the hierarchy that medical students use while learning anatomy-they separately
consider the musculoskeletal system (including parts and subparts like the hand and its
constituent muscles and bones), the circulatory system (and its many levels and branches),
the nervous system (and its numerous components and subsystems), etc., until they've
covered all the systems and the important subdivisions of each. Advanced students continue
the subdivision all the way to the level of the cell or molecule. In the end, the students
understand the "big picture" and a considerable number of its details. Not only that, but they
understand the relation of the individual parts to the whole. By working hierarchically,
they've gained a comprehensive understanding of anatomy.
Similarly, when any researchers approach a complex decision problem, researchers can use a
hierarchy to integrate large amounts of information into their understanding of the situation.
As researchers build this information structure, researchers form a better and better picture of
the problem as a whole.
HIERARCHIES IN THE AHP
An AHP hierarchy is a structured means of modeling the decision at hand. It consists of an
overall goal, a group of options or alternatives for reaching the goal, and a group of factors or
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criteria that relate the alternatives to the goal. The criteria can be further broken down into
sub criteria, sub-sub criteria, and so on, in as many levels as the problem requires.
The design of any AHP hierarchy will depend not only on the nature of the problem at hand,
but also on the knowledge, judgments, values, opinions, needs, wants, etc. of the participants
in the decision-making process. Constructing a hierarchy typically involves significant
discussion, research, and discovery by those involved. Even after its initial construction, it
can be changed to accommodate newly-thought-of criteria or criteria not originally
considered to be important; alternatives can also be added, deleted, or changed.
To better understand AHP hierarchies, consider a decision problem with a goal to be reached,
three alternative ways of reaching the goal, and four criteria against which the alternatives
need to be measured.
Such a hierarchy can be visualized as a diagram like the one immediately below, with the
goal at the top, the three alternatives at the bottom, and the four criteria in between. There are
useful terms for describing the parts of such diagrams: Each box is called a node. A node that
is connected to one or more nodes in a level below it is called a parent node. The nodes to
which it is so connected are called its children.
Applying these definitions to the diagram below, the goal is the parent of the four criteria,
and the four criteria are children of the goal. Each criterion is a parent of the three
Alternatives. Note that there are only three Alternatives, but in the diagram, each of them is
repeated under each of its parents.
Fig. 3: A simple AHP hierarchy
(Sources: www.wikipedia.org/ahp)
There are three Alternatives for reaching the Goal, and four Criteria to be used in
deciding among them.
To reduce the size of the drawing required, it is common to represent AHP hierarchies as
shown in the diagram below, with only one node for each alternative, and with multiple
lines connecting the alternatives and the criteria that apply to them. To avoid clutter, these
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lines are sometimes omitted or reduced in number. Regardless of any such simplifications
in the diagram, in the actual hierarchy each criterion is individually connected to the
alternatives. The lines may be thought of as being directed downward from the parent in
one level to its children in the level below.
Fig. 4: AHP hierarchy for choosing a leader
(Sources: www.wikipedia.org/ahp)
There is one goal, three candidates and four criteria for choosing among them.
EVALUATE THE HIERARCHY
Once the hierarchy has been constructed, the participants analyze it through a series of pair
wise comparisons that derive numerical scales of measurement for the nodes. The criteria are
pairwise compared against the goal for importance. The alternatives are pair wise compared
against each of the criteria for preference. The comparisons are processed mathematically,
and priorities are derived for each node.
Consider the "Choose a Leader" example above. An important task of the decision makers is
to determine the weight to be given each criterion in making the choice of a leader. Another
important task is to determine the weight to be given to each candidate with regard to each of
the criteria. The AHP not only lets them do that, but it lets them put a meaningful and
objective numerical value on each of the four criteria.
To make comparisons, Researchers need a scale of numbers that indicates how many times
more important or dominant one element is over another element with respect to the criterion
or property with respect to which they are compared. Table 1 exhibits the scale.
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Table 1: Fundamental Scale of Absolute Numbers
INTENSITY OF
IMPORTANCE
DEFINATION EXPLATION
1 Equal Importance Two activities contribute equally to the
objective
2 Weak or slight
3 Moderate importance Experience and judgement slightly
favour one activity over another
4 Moderate plus
5 Strong importance Experience and judgement strongly
favour one activity over another
6 Strong plus
7 Very strong or
Demonstrated
importance
An activity is favoured very strongly
over another; its dominance
demonstrated in practice
8 Very, very strong
9 Extreme importance The evidence favouring one activity over
another is of the highest possible order of
affirmation
RESIPROCALS OF
ABOVE (1-9)
If activity i has one of
the above non-zero
numbers assigned to it
when compared with
activity j, then j has the
reciprocal value when
compared with i
A reasonable assumption
1.1–1.9 If the activities are very
close
May be difficult to assign the best value
but when compared with other
contrasting activities the size of the small
numbers would not be too noticeable, yet
they can still indicate the relative
importance of the activities.
(Source: Saaty, T.L. (2008) ‘Decision making with the analytic hierarchy process’, Int. J.
Services Sciences, Vol.1, No.1, pp.83–98)
Priorities are numbers associated with the nodes of an AHP hierarchy. They represent the
relative weights of the nodes in any group.
Like probabilities, priorities are absolute numbers between zero and one, without units or
dimensions. A node with priority .200 has twice the weight in reaching the goal as one with
priority .100, ten times the weight of one with priority .020, and so forth. Depending on the
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problem at hand, "weight" can refer to importance, or preference, or likelihood, or whatever
factor is being considered by the decision makers.
Priorities are distributed over a hierarchy according to its architecture, and their values
depend on the information entered by users of the process. Priorities of the Goal, the Criteria,
and the Alternatives are intimately related, but need to be considered separately.
By definition, the priority of the Goal is 1.000. The priorities of the alternatives always add
up to 1.000. Things can become complicated with multiple levels of Criteria, but if there is
only one level, their priorities also add to 1.000. All this is illustrated by the priorities in the
example below.
Fig. 5: Simple AHP hierarchy with associated default priorities
(Sources: www.wikipedia.org/ahp)
Observe that the priorities on each level of the example—the goal, the criteria, and the
alternatives - all add up to 1.000.
The priorities shown are those that exist before any information has been entered about
weights of the criteria or alternatives, so the priorities within each level are all equal. They
are called the hierarchy's default priorities. If a fifth Criterion were added to this hierarchy,
the default priority for each Criterion would be 0.200. If there were only two Alternatives,
each would have a default priority of 0.500.
Two additional concepts apply when a hierarchy has more than one level of criteria: local
priorities and global priorities. Consider the hierarchy shown below, which has several Sub
criteria under each Criterion.
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Fig. 6: A more complex AHP hierarchy, with local and global default priorities
(Sources: www.wikipedia.org/ahp)
In the interest of clarity, the decision alternatives do not appear in the diagram.
The local priorities, shown in gray, represent the relative weights of the nodes within a group
of siblings with respect to their parent. You can easily see that the local priorities of each
group of Criteria and their sibling Sub criteria add up to 1.000. The global priorities, shown
in black, are obtained by multiplying the local priorities of the siblings by their parent's
global priority. The global priorities for all the sub criteria in the level add up to 1.000.
The rule is this: Within a hierarchy, the global priorities of child nodes always add up to the
global priority of their parent. Within a group of children, the local priorities add up to
1.000.So far, we have looked only at default priorities. As the Analytical Hierarchy Process
moves forward, the priorities will change from their default values as the decision makers
input information about the importance of the various nodes. They do this by making a series
of pair wise comparisons.
ADVANTAGES OF ANALYTIC HIERARCHY PROCESS
It illustrates how possible changes in priority at the upper levels have an effect on the priority
of criteria at lower levels.
The method is able to rank criteria according to the needs of the buyer which also leads to
more precise decisions concerning supplier selection.
It provides the buyer with an overview of criteria, their function at the lower levels and goals
at the higher levels.
WEIGHTS ALLOCATION
With the help of AHP approach, by doing pair wise comparisons from all respondents,
weights for all parameters are calculated. Eigen vector method (EM) is used to derive local
weights for each sub-criteria. The preference weights given by each respondent is aggregated
by Geometric mean method (GMM), as GMM is more consistent with the meanings of both
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judgments & priorities in AHP. When the GMM is used as the prioritization procedure, the
group inconsistency is at least as good as the worst individual inconsistency for aggregation
approaches.
In AHP, two different approaches can be adopted for group decision making: the aggregation
of individual judgments (AIJ) and the aggregation of individual priorities (AIP) [14]
. In this
research, AIP method is used; as each respondent is acting in his or her rights and not
working together as team member. In addition, group members are considered to be of equal
importance.
Priorities from individual expert are synthesized into a single priority through geometric
mean in order to get an overall estimate of the priorities for each criterion in every level of
hierarchy. The geometric mean for synthesizing individual priorities is expressed in Eq. (1)
and (2).
=
….. (1)
= ….. (2)
Here,
G = Geometric mean of individual priorities,
a = Priority weight given by expert
n = Number of experts
The Global weight of each parameter is calculated as per Eq. (3) [13]
….. (3)
Where:
I = 1, 2, 3…….n = issue, category and parameter at each level
W = Local Weight of Issue, W = Local Weight of Category and W = Local Weight of
parameter
At every level = 1 = 1
….. (4)
According to the AHP the best alternative (in the maximization case) is indicated by the
following relationship [8]
..… (5)
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Table 2: Composite priority weights for ‘Main Criteria – Sub Criteria of Ready Mixed Concrete
No. CRITERIA LOCAL
WEIGHT
SUB CRITERIA LOCAL
WEIGHT
GLOBAL
WEIGHT
1 Quality Control 0.104501 Quality of Material 0.695138 0.072642
Standard &
Certification
0.304862 0.031858
2 Cost 0.116578 Direct Cost 0.238282 0.027778
Indirect Cost 0.761718 0.088800
3 Delivery 0.126756 Location 0.276442 0.035041
Size of Transit Mixer 0.263793 0.033437
Delivery Lead Time 0.235827 0.029892
Time Consuming 0.223939 0.028386
4 Quantity 0.093388 Large Quantity 0.190686 0.017808
Small Quantity 0.809314 0.075580
5 Manpower 0.107541 Skill Person 0.225704 0.024272
Unskilled Person 0.359085 0.038616
Technical Staff 0.208527 0.022425
Manager 0.206684 0.022227
6 Safety Measures 0.084822 Labour Safety 0.258159 0.021897
Equipment Safety 0.290970 0.024681
Accidents 0.450871 0.038244
7 Financial
Capability
0.085319 Profit Trends 0.251431 0.021452
Turnover 0.238020 0.020308
Banking History 0.264631 0.022578
Amount of Past
Business
0.245918 0.020981
8 Commercial
Capability
0.114197 Sales/Utilization area 0.179251 0.020470
Sales Policy 0.167411 0.019118
Responsiveness 0.182189 0.020805
Discipline 0.158131 0.018058
Environment 0.162401 0.018546
Reputation & Position 0.150616 0.017200
9 Laboratory 0.078432 General 0.278879 0.021873
Test Facility 0.250668 0.019660
Testing Procedures 0.233595 0.018321
Personnel 0.236858 0.018577
10 Managerial
Capability
0.088467 Organizational
Structure
0.174510 0.015438
Types of Decision
maker
0.209982 0.018576
Direction of Work 0.192923 0.017067
Maintenance 0.214348 0.018963
Customer Feedback 0.208237 0.018422
1.0000
JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY
Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013
339
www.jiarm.com
Table 3: Ranking of sub-criteria
RANK SUB-CRITERIA GLOBAL WEIGHTS
3 Quality of Material 0.072642
8 Standard & Certification 0.031858
11 Direct Cost 0.027778
1 Indirect Cost 0.088800
6 Location 0.035041
7 Size of Transit Mixer 0.033437
9 Delivery Lead Time 0.029892
10 Time Consuming 0.028386
33 Large Quantity 0.017808
2 Small Quantity 0.075580
13 Skill Person 0.024272
4 Unskilled Person 0.038616
15 Technical Staff 0.022425
16 Manager 0.022227
17 Labour Safety 0.021897
12 Equipment Safety 0.024681
5 Accidents 0.038244
19 Profit Trends 0.021452
23 Turnover 0.020308
14 Banking History 0.022578
20 Amount of Past Business 0.020981
22 Sales/Utilization area 0.020470
25 Sales Policy 0.019118
21 Responsiveness 0.020805
32 Discipline 0.018058
29 Environment 0.018546
34 Reputation & Position 0.017200
18 General 0.021873
24 Test Facility 0.019660
31 Testing Procedures 0.018321
27 Personnel 0.018577
36 Organizational Structure 0.015438
28 Types of Decision maker 0.018576
35 Direction of Work 0.017067
26 Maintenance 0.018963
30 Customer Feedback 0.018422
JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY
Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013
340
www.jiarm.com
CONCLUSIONS
Following conclusions are drawn from the case study based on bricks selection using
Analytic Hierarchy Process (AHP)
 Present Approach of Ready Mixed Concrete selection in construction projects has
certain shortcomings and it can be required to improve by application of scientific
technique. Present approach does not consider multiple objectives and does not collect
sufficient data to evaluate Ready Mixed Concrete selection. Therefore, Analytical
Hierarchy Process (AHP) can be applied for ranking of Ready Mixed Concrete.
 Top five criteria which affects the Ready Mixed Concrete selection are indirect cost,
small quantity, quality of material, unskilled person, Accidents.
REFERENCES
1. Allan Collard-Wexler, December 5, 2006, “Demand Fluctuations and Plant Turnover in the
Ready-Mix Concrete Industry”, http://archive.nyu.edu/bitstream/2451/26087/2/6-25.pdf
2. Analytic hierarchy process, Wikipedia, the free encyclopedia -
http://en.wikipedia.org/wiki/Analytic_hierarchy_process
3. Ashish H. Makwana, Prof. Jayeshkumar Pitroda, “An Approach for Ready Mixed Concrete
Selection for Construction Companies through Analytic Hierarchy Process”, International
Journal of Engineering Trends and Technology (IJETT), Impact Factor 0.537, ISSN: 2231-
5381, Volume-4, Issue-7, July 2013, Pg. 2878 - 2884.
4. Ashish H. Makwana and Prof. Jayeshkumar Pitroda, 2013, “Ready Mixed Concrete Selection
for Infrastructure Development through Analytic Hierarchy Process (AHP) in the New
Millennium”, International Journal of Management (IJM), Journal Impact Factor (2013):
6.9071 (Calculated by GISI), Volume: 4, Issue: 5, Pages: 109-126.
5. Ashish H. Makwana, Jayeshkumar Pitroda, “An Approach for Ready Mixed Concrete
Selection For Construction Companies through Technique for Order Preference by Similarity
to Ideal Solution (TOPSIS) Technique”, International Journal of Innovative Technology and
Exploring Engineering (IJITEE), Impact Factor: 1.00, ISSN: 2278-3075, Volume-3, Issue-5,
October 2013, Pg. 92 – 96.
6. Bhavik K. Daxini, Prof. (Dr.) R.B. Bhatt, Prof. Jayeshkumar Pitroda, “An Approach for
Supplier Selection for Construction Companies Through Analytical Hierarchy Process”, IJSR
– International Journal of Scientific Research, Volume: 2 | Issue: 5 | May 2013 • ISSN No
2277 – 8179.
7. M.S. SHETTY, Concrete Technology, Theory and Practice, S.Chand- New Delhi.
8. A.R.Santhkumar, Concrete Technology, chapter 16 – READY MIXED CONCRETE, Oxford
higher education
9. Chang, K.F, C.M. Chiang and P.C. Chou, 2007, “Adapting aspects of GBTool 2005 -
searching for suitability in Taiwan, Building and Environment”, 42: 310-316.
10. Chang, K.F., P.C. Chou, C.M. Chiang and I.C, Chen, 2005. “The revised version of the
GBTool for subtropical Taiwan - from the barrier to success,” In: Proceeding of the 2005
world sustainable building conference (SB05Tokyo), Tokyo, pp: 1792-7.
11. Dweiri, F. and F.M. Al-Oqla, 2006, “Material selection using Analytic Hierarchy Process”,
International J. Computer Applications in Technol", 26(4): 182-189.
12. Evangelos Triantaphyllou – “Multi-Criteria Decision Making Methods: A Comparative Study
(Applied Optimization, Volume 44)”, ISBN 978-1-4419-4838-0, ISBN 978-1-4757-3157-6
(eBook), DOI 10.1007/978-1-4757-3157-6, SPRINGER-SCIENCE+BUSINESS MEDIA
B.V.
JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY
Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013
341
www.jiarm.com
13. Forman, E. and K. Peniwati, 1998, “Aggregating individual judgments and priorities with the
Analytic Hierarchy Process”, European J. Operational Res., 108: 165-169.
14. IS 4926 - 2003, Indian Standard, Ready mixed concrete – Code of Practice (Second
Revision), BIS, New Delhi.
15. Lee, G.K.L. and E.H.W. Chatt, 2008, “The Analytic Hierarchy Process (AHP) approach for
assessment of urban renewal proposals”, Soc. Indi. Res., 89: 155-168.
16. Navneet Bhushan and Kanwal Rai – “Strategic Decision Making - Applying the Analytic
Hierarchy Process”, ISBN 1-85233-756-7, © Springer-Verlag London Limited 2004,
Springer.
17. Pavlikakis, G.E. and V.A. Tsihrintzis, 2003, “A quantitative method for accounting human
opinion, preferences and perceptions in ecosystem management”, J. Environmental
Management, 68: 193-205.
18. Rigopoulos, G., J. Psarras and A. Dimitrios, 2008, “Web support system for group
collaborative decisions”, J. Applied Sci., 8: 407-419.
19. Saaty, T.L. (2008), “Decision making with the analytic hierarchy process”, Int. J. Services
Sciences, Vol.1, No.1, pp.83–98
20. Saaty, T.L., 1980, “The Analytic Hierarchy Process: Planning, Priority Setting, Resource
Allocation”, 1st
edition, Mcgraw-Hill, New York, ISBN: 0070543712, Alibris ID:
9503413947.
21. Taleai, M. and A. Mansourian, 2008, “Using Delphi-AHP method to survey major factors
causing urbah plan implementation failure”, J. Applied Sci., 8(15): 2746-2751.
22. T. Saaty, "A Scaling Method for Priorities in Hierarchical Structures," Journal of
Mathematical Psychology, 15, 234-281 (1977).
23. Vaidya, O. and S. Kumar, 2006, “Analytic Hierarchy Process: An overview of applications”,
European J. Operational Res., 169: 1-29.
24. Yaser N. Alsuwehri, “Supplier Evaluation and Selection by Using The Analytic Hierarchy
Process Approach”, Engineering Management Field Project, Masters of Science, the Graduate
School of The University of Kansas.

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UNIFIED APPROACH FOR ENHANCING READY MIXED CONCRETE UTILITY BY ANALYTIC HIERARCHY PROCESS (AHP) IN CHAROTOR REGION OF CENTRAL GUJARAT

  • 1. Journal of International Academic Research for Multidisciplinary ISSN 2320 -5083 A Scholarly, Peer Reviewed, Monthly, Open Access, Online Research Journal Impact Factor – 1.393 VOLUME 1 ISSUE 11 DECEMBER 2013 A GLOBAL SOCIETY FOR MULTIDISCIPLINARY RESEARCH www.jiarm.com A GREEN PUBLISHING HOUSE
  • 2. Editorial Board Dr. Kari Jabbour, Ph.D Curriculum Developer, American College of Technology, Missouri, USA. Er.Chandramohan, M.S System Specialist - OGP ABB Australia Pvt. Ltd., Australia. Dr. S.K. Singh Chief Scientist Advanced Materials Technology Department Institute of Minerals & Materials Technology Bhubaneswar, India Dr. Jake M. Laguador Director, Research and Statistics Center, Lyceum of the Philippines University, Philippines. Prof. Dr. Sharath Babu, LLM Ph.D Dean. Faculty of Law, Karnatak University Dharwad, Karnataka, India Dr.S.M Kadri, MBBS, MPH/ICHD, FFP Fellow, Public Health Foundation of India Epidemiologist Division of Epidemiology and Public Health, Kashmir, India Dr.Bhumika Talwar, BDS Research Officer State Institute of Health & Family Welfare Jaipur, India Dr. Tej Pratap Mall Ph.D Head, Postgraduate Department of Botany, Kisan P.G. College, Bahraich, India. Dr. Arup Kanti Konar, Ph.D Associate Professor of Economics Achhruram, Memorial College, SKB University, Jhalda,Purulia, West Bengal. India Dr. S.Raja Ph.D Research Associate, Madras Research Center of CMFR , Indian Council of Agricultural Research, Chennai, India Dr. Vijay Pithadia, Ph.D, Director - Sri Aurobindo Institute of Management Rajkot, India. Er. R. Bhuvanewari Devi M. Tech, MCIHT Highway Engineer, Infrastructure, Ramboll, Abu Dhabi, UAE Sanda Maican, Ph.D. Senior Researcher, Department of Ecology, Taxonomy and Nature Conservation Institute of Biology of the Romanian Academy, Bucharest, Romania Dr. Reynalda B. Garcia Professor, Graduate School & College of Education, Arts and Sciences Lyceum of the Philippines University Philippines Dr.Damarla Bala Venkata Ramana Senior Scientist Central Research Institute for Dryland Agriculture (CRIDA) Hyderabad, A.P, India PROF. Dr.S.V.Kshirsagar, M.B.B.S,M.S Head - Department of Anatomy, Bidar Institute of Medical Sciences, Karnataka, India. Dr Asifa Nazir, M.B.B.S, MD, Assistant Professor, Dept of Microbiology Government Medical College, Srinagar, India. Dr.AmitaPuri, Ph.D Officiating Principal Army Inst. Of Education New Delhi, India Dr. Shobana Nelasco Ph.D Associate Professor, Fellow of Indian Council of Social Science Research (On Deputation}, Department of Economics, Bharathidasan University, Trichirappalli. India M. Suresh Kumar, PHD Assistant Manager, Godrej Security Solution, India. Dr.T.Chandrasekarayya,Ph.D Assistant Professor, Dept Of Population Studies & Social Work, S.V.University, Tirupati, India.
  • 3. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 325 www.jiarm.com UNIFIED APPROACH FOR ENHANCING READY MIXED CONCRETE UTILITY BY ANALYTIC HIERARCHY PROCESS (AHP) IN CHAROTOR REGION OF CENTRAL GUJARAT AMARSINH B. PRAJAPATI* SACHIN P. PANCHAL** BHARAT B. LADVA*** ASHISH H. MAKWANA**** JAYESHKUMAR PITRODA***** * Final Year B. E. Civil Engg., B.V.M. Engg. College, Vallabh Vidyanagar, Gujarat India ** Final Year B. E. Civil Engg., B.V.M. Engg. College, Vallabh Vidyanagar, Gujarat India *** Final Year B. E. Civil Engg., B.V.M. Engg. College, Vallabh Vidyanagar, Gujarat India **** Final Year M.E. C. E. & M., B.V.M. Engg. College, Vallabh Vidyanagar, Gujarat, India *****Assistant Professor & Research Scholar, Dept. of Civil Engg., B.V.M. Engg. College, Vallabh Vidyanagar, Gujarat, India ABSTRACT The Analytic Hierarchy Process (AHP) is very useful in involving several decision- makers with different conflicting objectives to arrive at a consensus decision. This method was developed by Dr. Thomas L. Saaty in 1970s as a tool to help with solving technical and managerial problems. Concrete is a mixture of three basic ingredients: sand, gravel (crushed stone) and cement, as well as chemical compounds known as admixtures. Combining this mixture with water causes the cement to undergo an exothermic chemical reaction called hydration, turning cement into a hard paste that binds the sand and gravel together. Ready Mixed Concrete: Concrete which is mixed with water at a plant and transported directly to a construction site. Ready Mixed is a perishable product that needs to be delivered within an hour and a half before it becomes too stiff to be workable. Concrete is also very cheap for its weight. Present Approach of Ready Mixed Concrete selection has certain shortcomings. Present Approach does not consider multiple objectives and not collect sufficient data to evaluate the Ready Mixed Concrete. These shortcomings were improved by application of scientific technique such as Analytical Hierarchy Process (AHP). KEYWORDS: Analytic Hierarchy Process, Decision, Concrete, Ready Mixed Concrete, Present Approach, Scientific Technique. INTRODUCTION Ready Mixed Concrete (IS: 4926-2003) as “Concrete mixed in a stationary mixer in a central batching and mixing plant or in a truck mixer and supplied in the fresh condition to the purchaser either at the site or into the purchaser’s vehicles.” Ready Mixed Concrete (RMC) is delivered to the worksite, often in transit mixers capable of mixing the ingredients of the concrete just before the delivery of a batch. This results in a
  • 4. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 326 www.jiarm.com precise mixture, allowing specialty concrete mixtures to be developed and implemented on construction sites. The second option available is to mix the concrete at the batching plant and deliver the mixed concrete to the site in an agitator truck, which keeps the mixed concrete in correct form. Ready Mixed Concrete (RMC) is preferred to onsite concrete mixing because of the precision of the mixture and reduced work site confusion. It facilitates speedy construction through programmed delivery at the site and mechanized operation with consequent economy. It also decreases labor, site supervising cost and project time, resulting in savings. Proper control and economy in use of raw material results in saving of natural resources. It assures consistent quality through accurate computerized control of aggregates and water as per mix designs. It minimizes cement wastage due to bulk handling and there is no dust problem and therefore, pollution-free. Fig. 1: Modern Ready Mixed Concrete Plant (Source: JAGAJI Construction Janta Circle, Opp. Elecon Company, Vallabh Vidyanagar – Anand –Gujarat) LITERATURE REVIEW Ready Mixed Concrete was first patented in Germany in 1903, but a means of transporting was not sufficiently developed by then to enable the concept to be utilized commercially. The first commercial delivery of Ready Mixed Concrete was made in Baltimore, USA in 1913 and first revolving-drum-type transit mixer, of a much smaller capacity than those available today, was born in 1926. In 1920s and 1930s, Ready Mixed Concrete was introduced in some European countries. Ready Mixed Concrete plants arrived in India in the early 1950s, but their use was restricted to only major construction projects such as dams. Later Ready Mixed Concrete was also used for other projects such as construction of long-span bridges, industrial complexes, etc. There
  • 5. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 327 www.jiarm.com were, however, captive plants which formed an integral part of the construction project. It was during 1970s when the Indian construction industry spread its tentacles overseas, particularly in the Gulf region, that an awareness of Ready Mixed Concrete was created among Indian engineers, contractors and builders. Indian contractors in their works abroad started using Ready Mixed Concrete plants of 15 to 60 m3 /h and some of these plant were brought to India in 1980s. Currently there are Approx. 50 Ready Mixed Concrete Plants operating in different parts of Central Gujarat of India. Ready Mixed Concrete (RMC) is a specialized material in which cement, aggregate, and other ingredients are weight batched at a plant in a central or a truck mixer before delivery to the construction site in a condition ready for placing by the customer. RMC is manufactured at a place away from the construction site, the two locations being linked by a transport operation. Basic requirement for growth of the industry: - Government bodies, private builders, architects/engineers, contractors and individuals are to be made fully aware about the advantages of using Ready Mixed Concrete. Government bodies / consultants to include Ready Mixed Concrete as mandatory in their specification for execution. It is never expected that a Ready Mixed Concrete can be perfect, meeting all Ready Mixed Concrete selection criteria. For example, Ready Mixed Concrete may have a high quality, but the cost of the Ready Mixed Concrete may not be the lowest. On the other hand, another Ready Mixed Concrete cost may be the lowest, this is very good for a company, but at the same time the delivery performance may be the worst. As seen from the example, for making good decisions, the Ready Mixed Concrete selection process must be handled systematically.
  • 6. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 328 www.jiarm.com FRAMEWORK OF READY MIXED CONCRETE Fig. 2: Framework for Ready Mixed Concrete Selection Criteria (Source: Ashish H. Makwana, Prof. Jayeshkumar Pitroda, “An Approach for Ready Mixed Concrete Selection for Construction Companies through Analytic Hierarchy Process”, Impact Factor 0.537, ISSN: 2231-5381, International Journal of Engineering Trends and Technology (IJETT), Volume - 4, Issue - 7, July - 2013, PG. 2878 – 2884, Vallabh Vidyanagar– Gujarat – India)  ABRAVIATION:  QC - Quality Control  QM - Quality of Material  S & C - Standard & Certification  CS - Cost  DC - Direct cost  IC - Indirect cost  DL - Delivery  LC - Location  STM - Size of Transit Mixture  DLT - Delivery Lead Time  TC - Time Consuming  QN - Quantity  LQ - Large quantity  SQ - Small (Less) quantity  MP - Manpower  SP - Skill person  UP - Unskilled person  TS - Technical staff  MN - Manager  SM - Safety Measures  LS - Labor Safety  ES - Equipment Safety  AC - Accidents  FC - Financial Capability  PT - Profit Trends  TO - Turnover  BH - Banking History  APB - Amount of Past Business  CC - Commercial Capability  SA / UA - Sales / Utilization area (For Buildings, Road, Canal, Bridges, & other Industries)  SP - Sales Policy  RS - Responsiveness  DI - Discipline  EN - Environment  RP - Reputation & Position  LB - Laboratory  GN - General  TF - Test Facility  TP - Testing Procedures  PN - Personnel  MC - Managerial Capability  OS - Organization Structure  TOD - Type of Decision Maker  DOW - Direction of Work  MT - Maintenance  CF - Customers Feedback
  • 7. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 329 www.jiarm.com ABOUT ANALYTIC HIERARCHY PROCESS The analytic hierarchy process (AHP) is a structured technique for organizing and analyzing complex decisions. Based on mathematics and psychology, it was developed by Thomas L. Saaty in the 1970s and has been extensively studied and refined since then. It has particular application in group decision making, and is used around the world in a wide variety of decision situations, in fields such as government, business, industry, healthcare, and education. Rather than prescribing a "correct" decision, the AHP helps decision makers find one that best suits their goals and their understanding of the problem. It provides a comprehensive and rational framework for structuring a decision problem, for representing and quantifying its elements, for relating those elements to overall goals, and for evaluating alternative solutions. Users of the AHP first decompose their decision problem into a hierarchy of more easily comprehended sub-problems, each of which can be analyzed independently. The elements of the hierarchy can relate to any aspect of the decision problem-tangible or intangible, carefully measured or roughly estimated, well or poorly-understood-anything at all that applies to the decision at hand. Once the hierarchy is built, the decision makers systematically evaluate its various elements by comparing them to one another two at a time, with respect to their impact on an element above them in the hierarchy. In making the comparisons, the decision makers can use concrete data about the elements, but they typically use their judgments about the elements' relative meaning and importance. It is the essence of the AHP that human judgments, and not just the underlying information, can be used in performing the evaluations. The AHP converts these evaluations to numerical values that can be processed and compared over the entire range of the problem. A numerical weight or priority is derived for each element of the hierarchy, allowing diverse and often incommensurable elements to be compared to one another in a rational and consistent way. This capability distinguishes the AHP from other decision making techniques. In the final step of the process, numerical priorities are calculated for each of the decision alternatives. These numbers represent the alternatives' relative ability to achieve the decision goal, so they allow a straightforward consideration of the various courses of action.
  • 8. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 330 www.jiarm.com APPLICATION OF ANALYTIC HIERARCHY PROCESS It is widely used for decision making. Decision situations to which the AHP can be applied include:  Choice - The selection of one alternative from a given set of alternatives, usually where there are multiple decision criteria involved.  Ranking - Putting a set of alternatives in order from most to least desirable  Prioritization - Determining the relative merit of members of a set of alternatives, as opposed to selecting a single one or merely ranking them  Resource allocation - Apportioning resources among a set of alternatives  Benchmarking - Comparing the processes in one's own organization with those of other best-of-breed organizations  Quality management - Dealing with the multidimensional aspects of quality and quality improvement  Conflict resolution - Settling disputes between parties with apparently incompatible goals or positions PROCESS OF ANALYTICAL HIERARCHY PROCESS TECHNIQUE The procedure for using the AHP can be summarized as:  Model the problem as a hierarchy containing the decision goal, the alternatives for reaching it, and the criteria for evaluating the alternatives.  Establish priorities among the elements of the hierarchy by making a series of judgments based on pairwise comparisons of the elements. For example, when comparing potential real-estate purchases, the investors might say they prefer location over price and price over timing.  Synthesize these judgments to yield a set of overall priorities for the hierarchy.  Check the consistency of the judgments.  Come to a final decision based on the results of this process. MODEL THE PROBLEM AS A HIERARCHY The first step in the analytic hierarchy process is to model the problem as a hierarchy. In doing this, participants explore the aspects of the problem at levels from general to detailed, then express it in the multileveled way that the AHP requires. As they work to build the hierarchy, they increase their understanding of the problem, of its context, and of each other's thoughts and feelings about both.
  • 9. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 331 www.jiarm.com HIERARCHIES DEFINED A hierarchy is a stratified system of ranking and organizing people, things, ideas, etc., where each element of the system, except for the top one, is subordinate to one or more other elements. Though the concept of hierarchy is easily grasped intuitively, it can also be described mathematically. Diagrams of hierarchies are often shaped roughly like pyramids, but other than having a single element at the top, there is nothing necessarily pyramid-shaped about a hierarchy. Human organizations are often structured as hierarchies, where the hierarchical system is used for assigning responsibilities, exercising leadership, and facilitating communication. Familiar hierarchies of "things" include a desktop computer's tower unit at the "top", with its subordinate monitor, keyboard, and mouse "below." In the world of ideas, researchers use hierarchies to help us acquire detailed knowledge of complex reality: researchers structure the reality into its constituent parts, and these in turn into their own constituent parts, proceeding down the hierarchy as many levels as researchers care to. At each step, researchers focus on understanding a single component of the whole, temporarily disregarding the other components at this and all other levels. This AHP process increases our global understanding of whatever complex reality studying. Think of the hierarchy that medical students use while learning anatomy-they separately consider the musculoskeletal system (including parts and subparts like the hand and its constituent muscles and bones), the circulatory system (and its many levels and branches), the nervous system (and its numerous components and subsystems), etc., until they've covered all the systems and the important subdivisions of each. Advanced students continue the subdivision all the way to the level of the cell or molecule. In the end, the students understand the "big picture" and a considerable number of its details. Not only that, but they understand the relation of the individual parts to the whole. By working hierarchically, they've gained a comprehensive understanding of anatomy. Similarly, when any researchers approach a complex decision problem, researchers can use a hierarchy to integrate large amounts of information into their understanding of the situation. As researchers build this information structure, researchers form a better and better picture of the problem as a whole. HIERARCHIES IN THE AHP An AHP hierarchy is a structured means of modeling the decision at hand. It consists of an overall goal, a group of options or alternatives for reaching the goal, and a group of factors or
  • 10. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 332 www.jiarm.com criteria that relate the alternatives to the goal. The criteria can be further broken down into sub criteria, sub-sub criteria, and so on, in as many levels as the problem requires. The design of any AHP hierarchy will depend not only on the nature of the problem at hand, but also on the knowledge, judgments, values, opinions, needs, wants, etc. of the participants in the decision-making process. Constructing a hierarchy typically involves significant discussion, research, and discovery by those involved. Even after its initial construction, it can be changed to accommodate newly-thought-of criteria or criteria not originally considered to be important; alternatives can also be added, deleted, or changed. To better understand AHP hierarchies, consider a decision problem with a goal to be reached, three alternative ways of reaching the goal, and four criteria against which the alternatives need to be measured. Such a hierarchy can be visualized as a diagram like the one immediately below, with the goal at the top, the three alternatives at the bottom, and the four criteria in between. There are useful terms for describing the parts of such diagrams: Each box is called a node. A node that is connected to one or more nodes in a level below it is called a parent node. The nodes to which it is so connected are called its children. Applying these definitions to the diagram below, the goal is the parent of the four criteria, and the four criteria are children of the goal. Each criterion is a parent of the three Alternatives. Note that there are only three Alternatives, but in the diagram, each of them is repeated under each of its parents. Fig. 3: A simple AHP hierarchy (Sources: www.wikipedia.org/ahp) There are three Alternatives for reaching the Goal, and four Criteria to be used in deciding among them. To reduce the size of the drawing required, it is common to represent AHP hierarchies as shown in the diagram below, with only one node for each alternative, and with multiple lines connecting the alternatives and the criteria that apply to them. To avoid clutter, these
  • 11. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 333 www.jiarm.com lines are sometimes omitted or reduced in number. Regardless of any such simplifications in the diagram, in the actual hierarchy each criterion is individually connected to the alternatives. The lines may be thought of as being directed downward from the parent in one level to its children in the level below. Fig. 4: AHP hierarchy for choosing a leader (Sources: www.wikipedia.org/ahp) There is one goal, three candidates and four criteria for choosing among them. EVALUATE THE HIERARCHY Once the hierarchy has been constructed, the participants analyze it through a series of pair wise comparisons that derive numerical scales of measurement for the nodes. The criteria are pairwise compared against the goal for importance. The alternatives are pair wise compared against each of the criteria for preference. The comparisons are processed mathematically, and priorities are derived for each node. Consider the "Choose a Leader" example above. An important task of the decision makers is to determine the weight to be given each criterion in making the choice of a leader. Another important task is to determine the weight to be given to each candidate with regard to each of the criteria. The AHP not only lets them do that, but it lets them put a meaningful and objective numerical value on each of the four criteria. To make comparisons, Researchers need a scale of numbers that indicates how many times more important or dominant one element is over another element with respect to the criterion or property with respect to which they are compared. Table 1 exhibits the scale.
  • 12. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 334 www.jiarm.com Table 1: Fundamental Scale of Absolute Numbers INTENSITY OF IMPORTANCE DEFINATION EXPLATION 1 Equal Importance Two activities contribute equally to the objective 2 Weak or slight 3 Moderate importance Experience and judgement slightly favour one activity over another 4 Moderate plus 5 Strong importance Experience and judgement strongly favour one activity over another 6 Strong plus 7 Very strong or Demonstrated importance An activity is favoured very strongly over another; its dominance demonstrated in practice 8 Very, very strong 9 Extreme importance The evidence favouring one activity over another is of the highest possible order of affirmation RESIPROCALS OF ABOVE (1-9) If activity i has one of the above non-zero numbers assigned to it when compared with activity j, then j has the reciprocal value when compared with i A reasonable assumption 1.1–1.9 If the activities are very close May be difficult to assign the best value but when compared with other contrasting activities the size of the small numbers would not be too noticeable, yet they can still indicate the relative importance of the activities. (Source: Saaty, T.L. (2008) ‘Decision making with the analytic hierarchy process’, Int. J. Services Sciences, Vol.1, No.1, pp.83–98) Priorities are numbers associated with the nodes of an AHP hierarchy. They represent the relative weights of the nodes in any group. Like probabilities, priorities are absolute numbers between zero and one, without units or dimensions. A node with priority .200 has twice the weight in reaching the goal as one with priority .100, ten times the weight of one with priority .020, and so forth. Depending on the
  • 13. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 335 www.jiarm.com problem at hand, "weight" can refer to importance, or preference, or likelihood, or whatever factor is being considered by the decision makers. Priorities are distributed over a hierarchy according to its architecture, and their values depend on the information entered by users of the process. Priorities of the Goal, the Criteria, and the Alternatives are intimately related, but need to be considered separately. By definition, the priority of the Goal is 1.000. The priorities of the alternatives always add up to 1.000. Things can become complicated with multiple levels of Criteria, but if there is only one level, their priorities also add to 1.000. All this is illustrated by the priorities in the example below. Fig. 5: Simple AHP hierarchy with associated default priorities (Sources: www.wikipedia.org/ahp) Observe that the priorities on each level of the example—the goal, the criteria, and the alternatives - all add up to 1.000. The priorities shown are those that exist before any information has been entered about weights of the criteria or alternatives, so the priorities within each level are all equal. They are called the hierarchy's default priorities. If a fifth Criterion were added to this hierarchy, the default priority for each Criterion would be 0.200. If there were only two Alternatives, each would have a default priority of 0.500. Two additional concepts apply when a hierarchy has more than one level of criteria: local priorities and global priorities. Consider the hierarchy shown below, which has several Sub criteria under each Criterion.
  • 14. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 336 www.jiarm.com Fig. 6: A more complex AHP hierarchy, with local and global default priorities (Sources: www.wikipedia.org/ahp) In the interest of clarity, the decision alternatives do not appear in the diagram. The local priorities, shown in gray, represent the relative weights of the nodes within a group of siblings with respect to their parent. You can easily see that the local priorities of each group of Criteria and their sibling Sub criteria add up to 1.000. The global priorities, shown in black, are obtained by multiplying the local priorities of the siblings by their parent's global priority. The global priorities for all the sub criteria in the level add up to 1.000. The rule is this: Within a hierarchy, the global priorities of child nodes always add up to the global priority of their parent. Within a group of children, the local priorities add up to 1.000.So far, we have looked only at default priorities. As the Analytical Hierarchy Process moves forward, the priorities will change from their default values as the decision makers input information about the importance of the various nodes. They do this by making a series of pair wise comparisons. ADVANTAGES OF ANALYTIC HIERARCHY PROCESS It illustrates how possible changes in priority at the upper levels have an effect on the priority of criteria at lower levels. The method is able to rank criteria according to the needs of the buyer which also leads to more precise decisions concerning supplier selection. It provides the buyer with an overview of criteria, their function at the lower levels and goals at the higher levels. WEIGHTS ALLOCATION With the help of AHP approach, by doing pair wise comparisons from all respondents, weights for all parameters are calculated. Eigen vector method (EM) is used to derive local weights for each sub-criteria. The preference weights given by each respondent is aggregated by Geometric mean method (GMM), as GMM is more consistent with the meanings of both
  • 15. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 337 www.jiarm.com judgments & priorities in AHP. When the GMM is used as the prioritization procedure, the group inconsistency is at least as good as the worst individual inconsistency for aggregation approaches. In AHP, two different approaches can be adopted for group decision making: the aggregation of individual judgments (AIJ) and the aggregation of individual priorities (AIP) [14] . In this research, AIP method is used; as each respondent is acting in his or her rights and not working together as team member. In addition, group members are considered to be of equal importance. Priorities from individual expert are synthesized into a single priority through geometric mean in order to get an overall estimate of the priorities for each criterion in every level of hierarchy. The geometric mean for synthesizing individual priorities is expressed in Eq. (1) and (2). = ….. (1) = ….. (2) Here, G = Geometric mean of individual priorities, a = Priority weight given by expert n = Number of experts The Global weight of each parameter is calculated as per Eq. (3) [13] ….. (3) Where: I = 1, 2, 3…….n = issue, category and parameter at each level W = Local Weight of Issue, W = Local Weight of Category and W = Local Weight of parameter At every level = 1 = 1 ….. (4) According to the AHP the best alternative (in the maximization case) is indicated by the following relationship [8] ..… (5)
  • 16. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 338 www.jiarm.com Table 2: Composite priority weights for ‘Main Criteria – Sub Criteria of Ready Mixed Concrete No. CRITERIA LOCAL WEIGHT SUB CRITERIA LOCAL WEIGHT GLOBAL WEIGHT 1 Quality Control 0.104501 Quality of Material 0.695138 0.072642 Standard & Certification 0.304862 0.031858 2 Cost 0.116578 Direct Cost 0.238282 0.027778 Indirect Cost 0.761718 0.088800 3 Delivery 0.126756 Location 0.276442 0.035041 Size of Transit Mixer 0.263793 0.033437 Delivery Lead Time 0.235827 0.029892 Time Consuming 0.223939 0.028386 4 Quantity 0.093388 Large Quantity 0.190686 0.017808 Small Quantity 0.809314 0.075580 5 Manpower 0.107541 Skill Person 0.225704 0.024272 Unskilled Person 0.359085 0.038616 Technical Staff 0.208527 0.022425 Manager 0.206684 0.022227 6 Safety Measures 0.084822 Labour Safety 0.258159 0.021897 Equipment Safety 0.290970 0.024681 Accidents 0.450871 0.038244 7 Financial Capability 0.085319 Profit Trends 0.251431 0.021452 Turnover 0.238020 0.020308 Banking History 0.264631 0.022578 Amount of Past Business 0.245918 0.020981 8 Commercial Capability 0.114197 Sales/Utilization area 0.179251 0.020470 Sales Policy 0.167411 0.019118 Responsiveness 0.182189 0.020805 Discipline 0.158131 0.018058 Environment 0.162401 0.018546 Reputation & Position 0.150616 0.017200 9 Laboratory 0.078432 General 0.278879 0.021873 Test Facility 0.250668 0.019660 Testing Procedures 0.233595 0.018321 Personnel 0.236858 0.018577 10 Managerial Capability 0.088467 Organizational Structure 0.174510 0.015438 Types of Decision maker 0.209982 0.018576 Direction of Work 0.192923 0.017067 Maintenance 0.214348 0.018963 Customer Feedback 0.208237 0.018422 1.0000
  • 17. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 339 www.jiarm.com Table 3: Ranking of sub-criteria RANK SUB-CRITERIA GLOBAL WEIGHTS 3 Quality of Material 0.072642 8 Standard & Certification 0.031858 11 Direct Cost 0.027778 1 Indirect Cost 0.088800 6 Location 0.035041 7 Size of Transit Mixer 0.033437 9 Delivery Lead Time 0.029892 10 Time Consuming 0.028386 33 Large Quantity 0.017808 2 Small Quantity 0.075580 13 Skill Person 0.024272 4 Unskilled Person 0.038616 15 Technical Staff 0.022425 16 Manager 0.022227 17 Labour Safety 0.021897 12 Equipment Safety 0.024681 5 Accidents 0.038244 19 Profit Trends 0.021452 23 Turnover 0.020308 14 Banking History 0.022578 20 Amount of Past Business 0.020981 22 Sales/Utilization area 0.020470 25 Sales Policy 0.019118 21 Responsiveness 0.020805 32 Discipline 0.018058 29 Environment 0.018546 34 Reputation & Position 0.017200 18 General 0.021873 24 Test Facility 0.019660 31 Testing Procedures 0.018321 27 Personnel 0.018577 36 Organizational Structure 0.015438 28 Types of Decision maker 0.018576 35 Direction of Work 0.017067 26 Maintenance 0.018963 30 Customer Feedback 0.018422
  • 18. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 340 www.jiarm.com CONCLUSIONS Following conclusions are drawn from the case study based on bricks selection using Analytic Hierarchy Process (AHP)  Present Approach of Ready Mixed Concrete selection in construction projects has certain shortcomings and it can be required to improve by application of scientific technique. Present approach does not consider multiple objectives and does not collect sufficient data to evaluate Ready Mixed Concrete selection. Therefore, Analytical Hierarchy Process (AHP) can be applied for ranking of Ready Mixed Concrete.  Top five criteria which affects the Ready Mixed Concrete selection are indirect cost, small quantity, quality of material, unskilled person, Accidents. REFERENCES 1. Allan Collard-Wexler, December 5, 2006, “Demand Fluctuations and Plant Turnover in the Ready-Mix Concrete Industry”, http://archive.nyu.edu/bitstream/2451/26087/2/6-25.pdf 2. Analytic hierarchy process, Wikipedia, the free encyclopedia - http://en.wikipedia.org/wiki/Analytic_hierarchy_process 3. Ashish H. Makwana, Prof. Jayeshkumar Pitroda, “An Approach for Ready Mixed Concrete Selection for Construction Companies through Analytic Hierarchy Process”, International Journal of Engineering Trends and Technology (IJETT), Impact Factor 0.537, ISSN: 2231- 5381, Volume-4, Issue-7, July 2013, Pg. 2878 - 2884. 4. Ashish H. Makwana and Prof. Jayeshkumar Pitroda, 2013, “Ready Mixed Concrete Selection for Infrastructure Development through Analytic Hierarchy Process (AHP) in the New Millennium”, International Journal of Management (IJM), Journal Impact Factor (2013): 6.9071 (Calculated by GISI), Volume: 4, Issue: 5, Pages: 109-126. 5. Ashish H. Makwana, Jayeshkumar Pitroda, “An Approach for Ready Mixed Concrete Selection For Construction Companies through Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) Technique”, International Journal of Innovative Technology and Exploring Engineering (IJITEE), Impact Factor: 1.00, ISSN: 2278-3075, Volume-3, Issue-5, October 2013, Pg. 92 – 96. 6. Bhavik K. Daxini, Prof. (Dr.) R.B. Bhatt, Prof. Jayeshkumar Pitroda, “An Approach for Supplier Selection for Construction Companies Through Analytical Hierarchy Process”, IJSR – International Journal of Scientific Research, Volume: 2 | Issue: 5 | May 2013 • ISSN No 2277 – 8179. 7. M.S. SHETTY, Concrete Technology, Theory and Practice, S.Chand- New Delhi. 8. A.R.Santhkumar, Concrete Technology, chapter 16 – READY MIXED CONCRETE, Oxford higher education 9. Chang, K.F, C.M. Chiang and P.C. Chou, 2007, “Adapting aspects of GBTool 2005 - searching for suitability in Taiwan, Building and Environment”, 42: 310-316. 10. Chang, K.F., P.C. Chou, C.M. Chiang and I.C, Chen, 2005. “The revised version of the GBTool for subtropical Taiwan - from the barrier to success,” In: Proceeding of the 2005 world sustainable building conference (SB05Tokyo), Tokyo, pp: 1792-7. 11. Dweiri, F. and F.M. Al-Oqla, 2006, “Material selection using Analytic Hierarchy Process”, International J. Computer Applications in Technol", 26(4): 182-189. 12. Evangelos Triantaphyllou – “Multi-Criteria Decision Making Methods: A Comparative Study (Applied Optimization, Volume 44)”, ISBN 978-1-4419-4838-0, ISBN 978-1-4757-3157-6 (eBook), DOI 10.1007/978-1-4757-3157-6, SPRINGER-SCIENCE+BUSINESS MEDIA B.V.
  • 19. JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY Impact Factor 1.393, ISSN: 2320-5083, Volume 1, Issue 11, December 2013 341 www.jiarm.com 13. Forman, E. and K. Peniwati, 1998, “Aggregating individual judgments and priorities with the Analytic Hierarchy Process”, European J. Operational Res., 108: 165-169. 14. IS 4926 - 2003, Indian Standard, Ready mixed concrete – Code of Practice (Second Revision), BIS, New Delhi. 15. Lee, G.K.L. and E.H.W. Chatt, 2008, “The Analytic Hierarchy Process (AHP) approach for assessment of urban renewal proposals”, Soc. Indi. Res., 89: 155-168. 16. Navneet Bhushan and Kanwal Rai – “Strategic Decision Making - Applying the Analytic Hierarchy Process”, ISBN 1-85233-756-7, © Springer-Verlag London Limited 2004, Springer. 17. Pavlikakis, G.E. and V.A. Tsihrintzis, 2003, “A quantitative method for accounting human opinion, preferences and perceptions in ecosystem management”, J. Environmental Management, 68: 193-205. 18. Rigopoulos, G., J. Psarras and A. Dimitrios, 2008, “Web support system for group collaborative decisions”, J. Applied Sci., 8: 407-419. 19. Saaty, T.L. (2008), “Decision making with the analytic hierarchy process”, Int. J. Services Sciences, Vol.1, No.1, pp.83–98 20. Saaty, T.L., 1980, “The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation”, 1st edition, Mcgraw-Hill, New York, ISBN: 0070543712, Alibris ID: 9503413947. 21. Taleai, M. and A. Mansourian, 2008, “Using Delphi-AHP method to survey major factors causing urbah plan implementation failure”, J. Applied Sci., 8(15): 2746-2751. 22. T. Saaty, "A Scaling Method for Priorities in Hierarchical Structures," Journal of Mathematical Psychology, 15, 234-281 (1977). 23. Vaidya, O. and S. Kumar, 2006, “Analytic Hierarchy Process: An overview of applications”, European J. Operational Res., 169: 1-29. 24. Yaser N. Alsuwehri, “Supplier Evaluation and Selection by Using The Analytic Hierarchy Process Approach”, Engineering Management Field Project, Masters of Science, the Graduate School of The University of Kansas.