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http://www.iaeme.com/IJMET/index.asp 48 editor@iaeme.com
International Journal of Mechanical Engineering and Technology (IJMET)
Volume 9, Issue 11, November 2018, pp. 48–54, Article ID: IJMET_09_11_006
Available online at http://www.iaeme.com/ijmet/issues.asp?JType=IJMET&VType=9&IType=11
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication Scopus Indexed
EFFICIENCY OF CRITICAL PATH METHOD
(CPM) AND PERT TECHNIQUE FOR YACHT
CONSTRUCTION
Ala H. Elaiwi
Middle Technical University, Baghdad, Iraq
Technical Engineering College, Baghdad
ABSTRACT
According to the scientific developments in all sectors around the world, there is
needs of using the technique of operation research and its implementation that help
the manufacturers to draw their work policy and making future planning to achieve
their goals. However, the complexity of industrial projects comprise a lot of activities,
which needs to be controlled and scheduled in scientific ways, in according with the
availabilities of equipment’s and efforts of manufacturer. This research goal is to
reduce the completion time and cost of constructing a yacht by using critical bath
method and pert techniques. Results showed that the efficiency of using scientific
critical path method and pert reduce the time of yacht construction. Also, the
receiving and distribution of raw materials leads to minimize the completion job.
Therefore, making training programs to the manufacturer employees to process the
job in perfect performance.
Key words: Critical Path Method, CPM, PERT, Industrial management, Yacht
Construction.
Cite this Article: Ala H. Elaiwi, Efficiency of Critical Path Method (CPM) and Pert
Technique for Yacht Construction, International Journal of Mechanical Engineering
and Technology 9(11), 2018, pp. 48–54.
http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=9&IType=11
1. INTRODUCTION
According to the huge and fast scientific development in all sectors around the world, we
come to real needs of using the technique of operation research and its implementation which
help the manufacturers to draw their work policy and making future planning to achieve their
goals with reasonable using of available efforts and resources, the most important factor is
time , meaning whenever finishing project with a minimum completion time will give you the
chance to make profit and starting with another project.
From the above, it’s very important to adopt the modern planning techniques along with
the scientific development and its complexity; therefore, it comes the needs to use the
following techniques in all successful sectors:
Ala H. Elaiwi
http://www.iaeme.com/IJMET/index.asp 49 editor@iaeme.com
 The critical path method (CPM).
 Program evaluation and review technique (PERT).
These both techniques considered the most important ways for project time planning’s to
achieve project completion in short time. The manufacturing company (privet sector) doesn’t
have any scientific planning technique therefore the completion time of manufacturing yacht
was 2 years (730 days). Therefor the researcher suggest to adopt a new procedure by using
CPM & PERT techniques that may help the manufacturing company in their future projects
for the same yacht.
2. METHODOLOGY
The concept network job is a group of activities and events having one start point and one end
point [1]. Thus, the network job including all activities and represented on the network [2] as
follows:
Activity (→) it’s consuming time and cost.
Event (О) it’s have point of start and end of certain activity.
Dummy activity ( ) it’s a doted arrow and it’s not real activity, doesn’t consume time or
cost.
After implementing all activities on job network we can use the techniques to calculate the
time needed for completion the project.
3. THE "CRITICAL PATH METHOD (CPM)"
The year 1957 has witnessed developing the critical path method (CPM) as a network model
for project management (PM). CPM is a deterministic method that uses a fixed time
estimation to evaluate each individual activity. It is featured by ease of use and simple to
understand, the potential large impact of time variations is not considered at the time on
which a complex project is completed.
The path of longest duration though a given network is referred as the critical path [3].
The activities that depend on this path can't be delayed without slowing the project. Hence,
critical path has a specific significance for the assessment. Therefore, the analysis of critical
path is an essential aspect in the project planning-phase due to its impact on the entire project
duration.
The following four parameters define the critical path:
 ES – Early start time: the early time at which the activity can start taking into consideration
that its precedent activities must be finished first.
 EF – Early finish time: equal to the earliest start time for the activity added to the time needed
to finish the activity.
 LF – Late finish time: the minimum duration at which the activity can be accomplished
without causing a delay in the total project duration.
 LS – Late start time: equal to the pessimistic finish time minus the usual duration to
accomplish the activity.
For any activity the slack time represents the time between its earliest and latest start time,
or between its earliest and latest finish time. Slack is how much time that an activity can be
delayed past its earliest start or earliest finish without causing a delay to the project.
Therefore, in general, the critical path represents the path through the project network in
which none of the activities have slack time, that is, the path for which ES=LS and EF=LF for
Efficiency of Critical Path Method (CPM) and Pert Technique for Yacht Construction
http://www.iaeme.com/IJMET/index.asp 50 editor@iaeme.com
all activities in the path. Any delay in the critical path causes an equivalent increment in the
total project duration [4].
CPM Provides the following Merits
 It can provide an illustrative representation of the project plan.
 It can provide a prediction of the minimum time-cost needed to finish the project.
 It can provide a list of the activities that prejudiced the schedule and a list of activities which
are not.
Steps in CPM Planning Project
The following are the steps taken for CPM planning project:
 Specifying the activities on an individual base.
 Directing the sequence of activities specified in step-1 taking into account all the possible
probabilities.
 Establishing a network diagram to plan the activities based on the possibilities determined in
step-2.
 Assessing the time-cost required to complete each individual activity.
 Finding the "critical path" (the most time consuming path through the network).
 Adjusting the CPM diagram as the project processes, by updating the CPM diagram during the
project development and implementation phases.
4. THE PROGRAM EVALUATION AND REVIEW TECHNIQUE
(PERT)
PERT is a network model that permits the randomness in activity completion time. Late in
1950, PERT was developed for the U.S. Navy. The path time and the cost required to finish a
project can by reduced by PERT.
Steps in the PERT planning process
PERT planning involves the following steps:
 Identifying the specifically important activities that can be reported as millstones to the whole
project.
 Determining the usual sequence of the project activities that are properly undertaken for
similar projects.
 Constructing a network diagram based on the information obtained in the first two steps.
 Estimating the time required for each individual activity in the network.
 Determining the critical path in a similar way to the CPM critical path identifying.
 Updating the PERT chart as the project progress.
Advantages of using PERT over CPM
The following information is provided by the PERT that cannot be obtained with CPM:
 The prediction of project completion time.
 Completion probability before specified date.
Ala H. Elaiwi
http://www.iaeme.com/IJMET/index.asp 51 editor@iaeme.com
 The critical path activities that directly affect the completion time.
Estimate Activity Times in PERT
Three time estimations are usually included by model for each activity including [5]:
 The optimistic time, which is the minimum time in which the activity can be accomplished.
 The most likely time: the completion time having the highest probability, this time is longer
than the expected time and shorter than the pessimistic time.
 Pessimistic time, which is the maximum time-cost that any activity can take to be
accomplished.
The following average can be used to approximate the expected time for each activity:
Expected time = (Optimistic + 4* Most likely + Pessimistic) / 6
This expected time may be shown on the network diagram.
5. ACTIVITIES OF YACHT CONSTRUCTION ON NETWORK
The use of job network for construction planning we should list the activities by order and
according to the information, the activities will be as follow:
Table 1 Activities Description
Activity Description of activity Previous activity
1 Steel structure -
2 Roof steel sheets 1
3 Cross Steel support 2
4 Steel frame -
5 Water and fuel tanks 3,4
6 Steel sheet covering the yacht 3
7 Wrapping both sides yacht with steel sheet 5,6
8 Steel welding 7
9 Fixing the seats on the yacht roof 9
10 Fixing and supporting engines base 9
11 Setting and fixing engines 10,11
12 Fixing the muffler around the yacht 12
13 Fixing the roof aluminum works 12
14 Roof accessories 14
15 Mechanical systems 14
16 Electrical systems 14
17 Power system 16
18 Navigation system 17
19 Painting work inside and outside the yacht 18
20 Yacht assembly and finishing 19
From the table above we can calculate the time needed to finish the job after estimating
the duration for each activity and the early time + the late time for every activity as detailed in
the table below:
Efficiency of Critical Path Method (CPM) and Pert Technique for Yacht Construction
http://www.iaeme.com/IJMET/index.asp 52 editor@iaeme.com
(O) Event
(→) Activity
Dummy Activity
Figure 1 The network activities
To calculate the finishing time by using the critical bath methods as in the table below:
Table 1 Calculating the completion time by CPM
Activity Duration /day
(1)
Early time Late time Slack time
(4-2)Start (2) Finish (3) Start
(4)
Finish
(5)
1 19 0 19 0 19 0
2 19 19 38 19 38 0
3 15 40 55 40 55 0
4 58 0 58 0 58 0
5 10 58 68 58 68 0
6 35 57 92 57 92 0
7 58 94 152 94 152 0
8 19 19 38 19 19 0
9 3 154 157 154 157 0
10 35 159 194 169 204 10
11 45 159 204 159 204 0
12 28 206 234 206 234 0
13 15 236 251 277 292 41
14 58 236 294 236 294 0
15 49 296 345 317 369 21
16 73 296 369 296 369 0
17 23 371 394 371 394 0
18 15 396 411 396 411 0
19 19 413 432 413 432 0
20 15 434 449 434 449 0
From the table it's obviously the longest bath is shown in the following activities which
it's as follow (1, 2, 3, 6, 7, 9, 11, 12, 14, 16, 17, 18, 19, and 20) with total of (449) days,
because the critical path method is the longest bath always.
Ala H. Elaiwi
http://www.iaeme.com/IJMET/index.asp 53 editor@iaeme.com
Figure 2 The critical path method (CPM) times and activities network
According to PERT technique we can calculate the expected time by using the following
formula: (Optimistic + 4* Most likely + Pessimistic) / 6
Table 2 Calculating the completion time by PERT technique
Activity Optimistic time
(a)
Most likely
(m)
Pessimistic time
(b)
Previous activity Et= expected
time/day
1 12 19 28 - 19
2 12 19 28 1 19
3 12 15 20 2 15
4 43 58 73 - 58
5 8 10 12 3,4 10
6 20 35 50 3 35
7 43 58 73 5,6 58
8 12 19 28 1 19
9 2 3 4 7 3
10 20 35 50 9 35
11 30 45 60 9 45
12 24 28 32 10,11 28
13 12 15 20 12 15
14 43 58 73 12 58
15 40 49 59 14 49.1
16 65 73 81 14 73
17 18 23 28 16 23
18 12 15 20 17 15
19 12 19 28 18 19
20 12 15 20 19 15
From the table the longest bath of the activities is (1, 2, 3, 6, 7, 9, 11, 12, 14, 16, 17, 18,
19, and 20) with total period of (425) days to complete the job. Thus from the above tow
techniques it shows that critical path method is the longest bath which is 449 days.
6. CONCLUSIONS
 The efficiency of using scientific critical path method and pert techniques reduce the time of
yacht construction.
 Depending on the self-experience without using the scientific accurate ways lead to delay in
time of yacht construction.
 The receiving and distribution of raw materials leads to minimize the completion job.
Efficiency of Critical Path Method (CPM) and Pert Technique for Yacht Construction
http://www.iaeme.com/IJMET/index.asp 54 editor@iaeme.com
 Beside the two techniques the distribution of responsibilities for each employee will give
accurate ways to execute the job in perfect performance.
RECOMMENDATIONS
 It's very important to use the scientific ways like CPM and PERT in planning and scheduling
projects to reduce time and cost.
 Making training programs to the manufacturer employees to process the job in perfect
performance.
 Provide the employees with suitable space to do their jobs because the small spaces limited
their efforts.
 Providing the raw materials in factory places in time will lead to finish the job in time without
any delay.
 Making activity reports to avoid any delay that causing the manufacturer and lose in his
profits.
REFERENCES
[1] Chase, Richard., Operations Management,.MC Graw – Hill, New Delhi 2006.
[2] Buffa, E.S., and Dyer, J.S., "Management Science Operation Research" New York: john
wiley and sons, 1977.
[3] http://www.netmba.com/operations/project/cpm/
[4] Alazawi, Mohammed Abd Alwahab, "production management", dar alkutub for printing,
Almousel University 1989. (In Arabic).
[5] Davis, Mark .M. Fundamentals of operations Management, Mc Graw – Hill,
North America, 2003.

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Ijmet 09 11_006

  • 1. http://www.iaeme.com/IJMET/index.asp 48 editor@iaeme.com International Journal of Mechanical Engineering and Technology (IJMET) Volume 9, Issue 11, November 2018, pp. 48–54, Article ID: IJMET_09_11_006 Available online at http://www.iaeme.com/ijmet/issues.asp?JType=IJMET&VType=9&IType=11 ISSN Print: 0976-6340 and ISSN Online: 0976-6359 © IAEME Publication Scopus Indexed EFFICIENCY OF CRITICAL PATH METHOD (CPM) AND PERT TECHNIQUE FOR YACHT CONSTRUCTION Ala H. Elaiwi Middle Technical University, Baghdad, Iraq Technical Engineering College, Baghdad ABSTRACT According to the scientific developments in all sectors around the world, there is needs of using the technique of operation research and its implementation that help the manufacturers to draw their work policy and making future planning to achieve their goals. However, the complexity of industrial projects comprise a lot of activities, which needs to be controlled and scheduled in scientific ways, in according with the availabilities of equipment’s and efforts of manufacturer. This research goal is to reduce the completion time and cost of constructing a yacht by using critical bath method and pert techniques. Results showed that the efficiency of using scientific critical path method and pert reduce the time of yacht construction. Also, the receiving and distribution of raw materials leads to minimize the completion job. Therefore, making training programs to the manufacturer employees to process the job in perfect performance. Key words: Critical Path Method, CPM, PERT, Industrial management, Yacht Construction. Cite this Article: Ala H. Elaiwi, Efficiency of Critical Path Method (CPM) and Pert Technique for Yacht Construction, International Journal of Mechanical Engineering and Technology 9(11), 2018, pp. 48–54. http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=9&IType=11 1. INTRODUCTION According to the huge and fast scientific development in all sectors around the world, we come to real needs of using the technique of operation research and its implementation which help the manufacturers to draw their work policy and making future planning to achieve their goals with reasonable using of available efforts and resources, the most important factor is time , meaning whenever finishing project with a minimum completion time will give you the chance to make profit and starting with another project. From the above, it’s very important to adopt the modern planning techniques along with the scientific development and its complexity; therefore, it comes the needs to use the following techniques in all successful sectors:
  • 2. Ala H. Elaiwi http://www.iaeme.com/IJMET/index.asp 49 editor@iaeme.com  The critical path method (CPM).  Program evaluation and review technique (PERT). These both techniques considered the most important ways for project time planning’s to achieve project completion in short time. The manufacturing company (privet sector) doesn’t have any scientific planning technique therefore the completion time of manufacturing yacht was 2 years (730 days). Therefor the researcher suggest to adopt a new procedure by using CPM & PERT techniques that may help the manufacturing company in their future projects for the same yacht. 2. METHODOLOGY The concept network job is a group of activities and events having one start point and one end point [1]. Thus, the network job including all activities and represented on the network [2] as follows: Activity (→) it’s consuming time and cost. Event (О) it’s have point of start and end of certain activity. Dummy activity ( ) it’s a doted arrow and it’s not real activity, doesn’t consume time or cost. After implementing all activities on job network we can use the techniques to calculate the time needed for completion the project. 3. THE "CRITICAL PATH METHOD (CPM)" The year 1957 has witnessed developing the critical path method (CPM) as a network model for project management (PM). CPM is a deterministic method that uses a fixed time estimation to evaluate each individual activity. It is featured by ease of use and simple to understand, the potential large impact of time variations is not considered at the time on which a complex project is completed. The path of longest duration though a given network is referred as the critical path [3]. The activities that depend on this path can't be delayed without slowing the project. Hence, critical path has a specific significance for the assessment. Therefore, the analysis of critical path is an essential aspect in the project planning-phase due to its impact on the entire project duration. The following four parameters define the critical path:  ES – Early start time: the early time at which the activity can start taking into consideration that its precedent activities must be finished first.  EF – Early finish time: equal to the earliest start time for the activity added to the time needed to finish the activity.  LF – Late finish time: the minimum duration at which the activity can be accomplished without causing a delay in the total project duration.  LS – Late start time: equal to the pessimistic finish time minus the usual duration to accomplish the activity. For any activity the slack time represents the time between its earliest and latest start time, or between its earliest and latest finish time. Slack is how much time that an activity can be delayed past its earliest start or earliest finish without causing a delay to the project. Therefore, in general, the critical path represents the path through the project network in which none of the activities have slack time, that is, the path for which ES=LS and EF=LF for
  • 3. Efficiency of Critical Path Method (CPM) and Pert Technique for Yacht Construction http://www.iaeme.com/IJMET/index.asp 50 editor@iaeme.com all activities in the path. Any delay in the critical path causes an equivalent increment in the total project duration [4]. CPM Provides the following Merits  It can provide an illustrative representation of the project plan.  It can provide a prediction of the minimum time-cost needed to finish the project.  It can provide a list of the activities that prejudiced the schedule and a list of activities which are not. Steps in CPM Planning Project The following are the steps taken for CPM planning project:  Specifying the activities on an individual base.  Directing the sequence of activities specified in step-1 taking into account all the possible probabilities.  Establishing a network diagram to plan the activities based on the possibilities determined in step-2.  Assessing the time-cost required to complete each individual activity.  Finding the "critical path" (the most time consuming path through the network).  Adjusting the CPM diagram as the project processes, by updating the CPM diagram during the project development and implementation phases. 4. THE PROGRAM EVALUATION AND REVIEW TECHNIQUE (PERT) PERT is a network model that permits the randomness in activity completion time. Late in 1950, PERT was developed for the U.S. Navy. The path time and the cost required to finish a project can by reduced by PERT. Steps in the PERT planning process PERT planning involves the following steps:  Identifying the specifically important activities that can be reported as millstones to the whole project.  Determining the usual sequence of the project activities that are properly undertaken for similar projects.  Constructing a network diagram based on the information obtained in the first two steps.  Estimating the time required for each individual activity in the network.  Determining the critical path in a similar way to the CPM critical path identifying.  Updating the PERT chart as the project progress. Advantages of using PERT over CPM The following information is provided by the PERT that cannot be obtained with CPM:  The prediction of project completion time.  Completion probability before specified date.
  • 4. Ala H. Elaiwi http://www.iaeme.com/IJMET/index.asp 51 editor@iaeme.com  The critical path activities that directly affect the completion time. Estimate Activity Times in PERT Three time estimations are usually included by model for each activity including [5]:  The optimistic time, which is the minimum time in which the activity can be accomplished.  The most likely time: the completion time having the highest probability, this time is longer than the expected time and shorter than the pessimistic time.  Pessimistic time, which is the maximum time-cost that any activity can take to be accomplished. The following average can be used to approximate the expected time for each activity: Expected time = (Optimistic + 4* Most likely + Pessimistic) / 6 This expected time may be shown on the network diagram. 5. ACTIVITIES OF YACHT CONSTRUCTION ON NETWORK The use of job network for construction planning we should list the activities by order and according to the information, the activities will be as follow: Table 1 Activities Description Activity Description of activity Previous activity 1 Steel structure - 2 Roof steel sheets 1 3 Cross Steel support 2 4 Steel frame - 5 Water and fuel tanks 3,4 6 Steel sheet covering the yacht 3 7 Wrapping both sides yacht with steel sheet 5,6 8 Steel welding 7 9 Fixing the seats on the yacht roof 9 10 Fixing and supporting engines base 9 11 Setting and fixing engines 10,11 12 Fixing the muffler around the yacht 12 13 Fixing the roof aluminum works 12 14 Roof accessories 14 15 Mechanical systems 14 16 Electrical systems 14 17 Power system 16 18 Navigation system 17 19 Painting work inside and outside the yacht 18 20 Yacht assembly and finishing 19 From the table above we can calculate the time needed to finish the job after estimating the duration for each activity and the early time + the late time for every activity as detailed in the table below:
  • 5. Efficiency of Critical Path Method (CPM) and Pert Technique for Yacht Construction http://www.iaeme.com/IJMET/index.asp 52 editor@iaeme.com (O) Event (→) Activity Dummy Activity Figure 1 The network activities To calculate the finishing time by using the critical bath methods as in the table below: Table 1 Calculating the completion time by CPM Activity Duration /day (1) Early time Late time Slack time (4-2)Start (2) Finish (3) Start (4) Finish (5) 1 19 0 19 0 19 0 2 19 19 38 19 38 0 3 15 40 55 40 55 0 4 58 0 58 0 58 0 5 10 58 68 58 68 0 6 35 57 92 57 92 0 7 58 94 152 94 152 0 8 19 19 38 19 19 0 9 3 154 157 154 157 0 10 35 159 194 169 204 10 11 45 159 204 159 204 0 12 28 206 234 206 234 0 13 15 236 251 277 292 41 14 58 236 294 236 294 0 15 49 296 345 317 369 21 16 73 296 369 296 369 0 17 23 371 394 371 394 0 18 15 396 411 396 411 0 19 19 413 432 413 432 0 20 15 434 449 434 449 0 From the table it's obviously the longest bath is shown in the following activities which it's as follow (1, 2, 3, 6, 7, 9, 11, 12, 14, 16, 17, 18, 19, and 20) with total of (449) days, because the critical path method is the longest bath always.
  • 6. Ala H. Elaiwi http://www.iaeme.com/IJMET/index.asp 53 editor@iaeme.com Figure 2 The critical path method (CPM) times and activities network According to PERT technique we can calculate the expected time by using the following formula: (Optimistic + 4* Most likely + Pessimistic) / 6 Table 2 Calculating the completion time by PERT technique Activity Optimistic time (a) Most likely (m) Pessimistic time (b) Previous activity Et= expected time/day 1 12 19 28 - 19 2 12 19 28 1 19 3 12 15 20 2 15 4 43 58 73 - 58 5 8 10 12 3,4 10 6 20 35 50 3 35 7 43 58 73 5,6 58 8 12 19 28 1 19 9 2 3 4 7 3 10 20 35 50 9 35 11 30 45 60 9 45 12 24 28 32 10,11 28 13 12 15 20 12 15 14 43 58 73 12 58 15 40 49 59 14 49.1 16 65 73 81 14 73 17 18 23 28 16 23 18 12 15 20 17 15 19 12 19 28 18 19 20 12 15 20 19 15 From the table the longest bath of the activities is (1, 2, 3, 6, 7, 9, 11, 12, 14, 16, 17, 18, 19, and 20) with total period of (425) days to complete the job. Thus from the above tow techniques it shows that critical path method is the longest bath which is 449 days. 6. CONCLUSIONS  The efficiency of using scientific critical path method and pert techniques reduce the time of yacht construction.  Depending on the self-experience without using the scientific accurate ways lead to delay in time of yacht construction.  The receiving and distribution of raw materials leads to minimize the completion job.
  • 7. Efficiency of Critical Path Method (CPM) and Pert Technique for Yacht Construction http://www.iaeme.com/IJMET/index.asp 54 editor@iaeme.com  Beside the two techniques the distribution of responsibilities for each employee will give accurate ways to execute the job in perfect performance. RECOMMENDATIONS  It's very important to use the scientific ways like CPM and PERT in planning and scheduling projects to reduce time and cost.  Making training programs to the manufacturer employees to process the job in perfect performance.  Provide the employees with suitable space to do their jobs because the small spaces limited their efforts.  Providing the raw materials in factory places in time will lead to finish the job in time without any delay.  Making activity reports to avoid any delay that causing the manufacturer and lose in his profits. REFERENCES [1] Chase, Richard., Operations Management,.MC Graw – Hill, New Delhi 2006. [2] Buffa, E.S., and Dyer, J.S., "Management Science Operation Research" New York: john wiley and sons, 1977. [3] http://www.netmba.com/operations/project/cpm/ [4] Alazawi, Mohammed Abd Alwahab, "production management", dar alkutub for printing, Almousel University 1989. (In Arabic). [5] Davis, Mark .M. Fundamentals of operations Management, Mc Graw – Hill, North America, 2003.