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Slide
CHAPTER ONE
Prepared by Dejene Adugna (PhD)
Assistant Professor
Quantitative Analysis for
Managerial Decision
An Overview
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Problem Solving Vs Decision Making
• Problem solving is a process, whereas making
decisions is an action based on insights
derived during the problem-solving process.
• Problem solving is an analytical process used
to identify the possible solutions to the
situation at hand.
• Decision making is a choice made by using
one’s judgement.
• Making decisions is a part of problem solving
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Definition of Decision-Making
• Decision making is the process of
identifying problems and solving them
• Decision-making is the process of selecting
the best option from two or more possible
alternatives based on some criteria.
• A decision represents a course of actions
chosen from a number of possible
alternatives.
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The identification of a problem
• To make a decision, you must first
identify the problem you need to solve or
the question you need to answer
• A problem is defined as a difference
between an existing and a desired state
of affairs.
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Examples of a problems
• Lack of clear goals and outcomes
• Shortage of resources for products and services
• Ineffective advertising and promotions
• Low employee morale
• Little or no available feedback from customers
• Frequent complaints from employees and customer
• Conflict and turnover among employees
• High employee turnover
• Poor performance
• Inefficiencies in activities
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Types of problems
a) Structured problems: are routine in nature.
– They commonly occur and are easily understood by the
organization.
– information about the problem easily defined and
complete.
Example: Customer wanting to return his purchase.
b) Unstructured Problem: are novel and infrequent in nature
– Such problems may be difficult to recognize upon initial
occurrence and require specific analysis and research to fully
understand.
Example: Decision to enter new market segment
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Identification of decision criteria
Decision criteria are factors that are Important
(relevant) to resolving the problem
The criteria reflect what a manager think is
relevant in her his decision
• Ease of implementation.
• Cost
• Risk levels
• Increase in sales or market share.
• Return on investment.
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Allocation of weights to criteria
The criteria's are not equally Important ,
therefore it is necessary to allocate
weights to the items listed in step 2 .
We give the most important criterion a
weight of 10 lower weights for the rest
criterion
We use our personal preferences to assign
priorities to the relevant
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Development of alternatives
• The decision maker list the alternatives
that could succeed in resolving the
problem .
• Alternatives is the set of actions, objects,
candidates, decisions... to be explored
during the decision process
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Analysis of alternatives
Once the alternatives has been identified
the decision maker must critically
analysis each one .
Each alternative is evaluated by apprising
(asses it)against the criteria .
The assessment is made by the manager.
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Selection of an alternative
We simply choose the alternative that
generate the highest score in step 5.
The choice process is completed in this
step
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Implementation of the alternative
Putting a decision into action
The decision may still fail if its not
implemented properly
The persons who's going to implement
the decision may achieve better outcome
if they have participated in the making of
it.
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Evaluation of decision effectiveness
Is to appraises the result
Did the alternative chosen in step 6
and implemented in step 7
accomplished the desired result.
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Decision making approaches
a)Qualitative approach
• Used in case of simple situations or
routine problems
• Based largely on the manager’s judgment
and experience
• Includes the manager’s intuitive “feel” for
the problem
• Is more of an art than a science
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Decision making approaches
b) Quantitative approach
• Used in novel situations
• Mostly based on statistical analysis of
collected data associated with the
problem
• Analyst will use one or more quantitative
methods to make a recommendation
• Is more of a science than art
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Quantitative approaches …
Quantitative approaches to decision making is
referred to as
• Operations Research
• Management Science
• Decision Science
• OR deals with the Application of scientific
methods for making decision
• OR is an analytical method of problem-solving and
decision-making that is useful in the management
of organizations.
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Operations Research Origin (History)
• OR originated during World war II, when the
British military management contacted a group of
experts together to apply a scientific approach in
the study of military operations to win the battle.
• The main objective was to allocate scarce resources
in an effective manner to various military
operations and to the activities within each
operation.
• It is now widely used in military, business, industry,
transportation, public health, crime investigation,
etc
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Potential reasons for a quantitative
approach
The problem is complex
The problem is very important
The problem is new
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Steps in the Management Science Process
Observation - Identification of a problem that exists (or may
occur soon) in a system or organization.
Definition of the Problem - problem must be clearly and
consistently defined, showing its boundaries and interactions
with the objectives of the organization.
Model Construction - Development of the functional
mathematical relationships that describe the decision
variables, objective function and constraints of the problem.
Model Solution - Models solved using management science
techniques.
Model Implementation - Actual use of the model or its
solution.
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Model Development
Models are representations of real objects/situations
Types of models:
Iconic models - physical replicas (scalar
representations) of real objects
Analog models - physical in form, but do not physically
resemble the object being modeled
Mathematical models - represent real world problems
through a system of mathematical formulas and
expressions based on key assumptions, estimates, or
statistical analyses
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Advantages of Models
Generally, experimenting with models
(compared to experimenting with the real
situation):
Requires less time
Is less expensive
Involves less risk
The more closely the model represents the
real situation, the accurate the conclusions
and predictions will be.
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Mathematical Models
• Objective function:
A mathematical function that describes the problem’s
objective
• Constraint
Restrictions that limit the degree to which the objective can
be pursued (production capacities, availability of inputs,
committed outputs etc.)
• Uncontrollable inputs
Environmental factors affecting the objective function and
the constraints, but beyond the control of the decision maker
• Controllable inputs or decision variable
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Deterministic Vs Stochastic
a) Deterministic Model: Uncontrollable
variables are all known and do not vary.
b) Stochastic or Probabilistic Model: One
or more of the uncontrollable variables
are uncertain and subject to variation.
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Characteristics of OR (Features)
Decision making approach - the main aim of OR is to
find the best or optimal for a problem under
consideration
Inter-disciplinary team approach: it uses techniques
from economics, mathematics, chemistry, physics, etc.
Use of scientific research - It makes use of scientific
research to arrive at a optimum solution.
Use of Computer : for decision-making and problem
solving computers are widely used
It gives Quantitative solution
It considers the human factors also.
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Techniques of Operations Research
Linear Programming (LP) is a mathematical
technique of assigning a fixed amount of resources
to satisfy a number of demands
The transportation problem: is used to determine
the minimum cost of distributing a product from a
number of sources to a number of destinations.
Assignment Problem involves the allocation of n
different facilities to n different tasks
Goal Programming is a tool to tackle multiple and
incompatible goals of an enterprise.
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Techniques of Operations Research
• Queuing theory is applied in such situations where
decisions have to be taken to minimize the duration
of the queue with minimum investment cost.
• Game theory is used for decision making under
conflicting situations where there are one or more
opponents (i.e., players).
• Inventory Control Models is concerned with the
acquisition, storage, handling of inventories so as to
ensure the availability of inventory whenever needed
and minimize wastage and losses.
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Techniques of Operations Research
• Simulation is a technique that involves setting up a
model of real situation and then performing
experiments.
• Markov Process is a process of predicting regarding
future outcomes based on present state
• Network Scheduling-PERT and CPM is a technique used
for planning, scheduling and monitoring large projects.
• Replacement Models are concerned with the problem
of replacement of machines, individuals, capital assets,
etc. due to their deteriorating efficiency, failure, or
breakdown.
For simplicities sake, we can divide organization members into two categories: nonmanagerial employees and managers. Nonmanagerial employees do not oversee the work of others. Managers direct and oversee the activity of the people in the organization.
Some problems are straightforward. The goal of the decision maker is clear, the problem
familiar, and information about the problem easily defined and complete. Examples might
include a supplier’s tardiness with an important delivery, a customer’s wanting to return an
Internet purchase, etc.
Many situations faced by managers, however, are unstructured problems. They are new
or unusual. Information about such problems is ambiguous or incomplete.