Project management is the study for projects with an allocated budget, cost, time and capacity. The most important tool in this context is the critical path method. This method is used to plan the timing of a project, control costs and human resources associated with it. CPM can also be quickly adapted to obstacles along the way. This paper analyses a case associated with project management with the help of CPM and PERT. It starts with a brief overview of the topic, summary of the case under review, analysis of the project and ends with a conclusion and recommendations.
Summary of the Case
A construction firm is in a framework of contractors involved in the building and refurbishing of industrial projects for a pharmaceutical manufacturing company. It is already working on more than three projects at a particular manufacturing site. The company has been invited to tender for another project. This is an important and apparently profitable refurbishment project. Management is quite willing to work on it. Two other companies are also competing for the project. The following table summarises the information provided by the planning and estimating department of the construction firm.
Network Diagram
Normal Duration of the Project
Activity
Normal Days
1-2
6
3
1-6
15
3
1-8
5
0.625
2-3
4
2
3-4
6
3
4-5
16
8
6-7
10
5
6-3
5
1.666666667
7-5
8
4
8-9
5
2.5
9-4
8
1.333333333
9-10
10
5
10-11
5
2.5
11-5
3
0.428571429
Total Days
106
42.05357143
Normal Duration of the project = 42 Days
Normal Cost of the Project
Activity
Normal Time
Normal Days per one activity
Normal cost/day
(£/day)
1-2
6
3
36,000
1-6
15
2.5
30,000
1-8
5
0.625
7,500
2-3
4
2
24,000
3-4
6
3
36,000
4-5
16
8
96,000
6-7
10
5
60,000
6-3
5
1.666666667
20,000
7-5
8
4
48,000
8-9
5
2.5
30,000
9-4
8
1.333333333
16,000
9-10
10
5
60,000
10-11
5
2.5
30,000
11-5
3
0.428571429
5,143
Total Days
106
41.55357143
731,000
Normal Cost of the project is £ 731000.
Shortest Possible Duration For The Project And Its Associated Cost
Activity
Normal Time
Normal Days per one activity
Normal cost/day
(£/day)
1-2
6
3
36,000
1-6
15
1.5
18,000
1-8
5
0.625
7,500
2-3
4
2
24,000
3-4
6
0
4-5
16
0
6-7
10
5
60,000
6-3
5
0
7-5
8
4
48,000
8-9
5
2.5
30,000
9-4
8
1.333333333
16,000
9-10
10
5
60,000
10-11
5
2.5
30,000
11-5
3
0.428571429
5,143
Total Days
106
27.88690476
731,850
The shortest possible duration of the project is 28 days.
Optimum Project Cost With Its Associated Duration
Activity
Normal Time
Normal Days per one activity
Normal cost/day
(£/day)
1-2
6
3
36,000
1-6
15
2
24,000
1-8
5
0.625
7,500
2-3
4
2
24,000
3-4
6
3
36,000
4-5
16
0
6-7
10
5
60,000
6-3
5
0
7-5
8
4
48,000
8-9
5
2.5
30,000
9-4
8
1.333333333
16,000
9-10
10
5
60,000
10-11
5
2.5
30,000
11-5
3
0.428571429
5,143
Total Days
106
31.38690476
727,850
The optimum cost with its associated duration is £727,850 in 31 days.
Analysis of the Project
Before analysing the project, it is imperative to understand the process of critical path methodand PERT along with some of the basic concepts. The critical path method network may be referred as a graph which represents a complete sequence of tasks between the beginning and end of a project. The links between critical tasks are represented on the graph by a line called critical path. By adding the times of all critical tasks, we obtain a fair estimate of the total duration of the project (Newell, 2003, pp. 98). With this method, the consequences of delays are highlighted and management also prepare schedule for resource levelling and controlling. A delay in a critical task directly affects the timing of the whole project. This method takes into account a number of jobs with precedence constraints, which have a certain processing time.
It starts at zero time with processing jobs that have no predecessors. Once a job is completed, process is lined to activities with predecessors. In this type of sequence, all jobs that have no predecessors would start processing in the “early start” (ES) time and is completed at the “earliest finish” (EF) time. This process is called the forward pass (Walker, 1959, pp. 7). Next step is the backward ...