The document discusses Program Evaluation and Review Technique (PERT) for a project with 8 activities. It shows the optimistic, most likely, and pessimistic times for each activity. It then calculates the expected time for each activity using PERT formulas. A network diagram is drawn showing the dependencies between activities. The critical path through the network is identified as activities 1-2-4-6-7-8, with an earliest completion time of 32.67 weeks.

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Unit No.4.
NETWORK ANALYSIS
Presented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Dean, EDP & Associate Professor MBA
1
Sanjivani College of Engineering, Kopargaon
Department of MBA

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302-DECISION SCIENCE
Unit No.4. Network Analysis
4.14 Case 1: Program Evaluation
and Review Technique
Presented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Dean EDP & Associate Professor MBA
2
Sanjivani College of Engineering, Kopargaon
Department of MBA
www.sanjivanimba.org.in

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 At the End of the Session Student will be able to
understand-
A. Case 1: Program Evaluation and Review Technique
Program Evaluation and Review Technique

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Following are the activities of a project-
a. Calculate the expected time of each activity
b. Draw the network and indicate the expected time on each activity
c. Compute the earliest completion time of the project
d. Identify the critical path in the diagram
Activity Immediate Predecessor
Activity
Most
Optimistic
Most Likely Most
Pessimistic
A None 4 7 13
B A 6 9 11
C A 5 7 9
D B 3 5 7
E C 7 8 10
F D 2 3 5
G E 6 7 8
H F&G 2 3 4
Program Evaluation and Review Technique

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a. Rewriting the Table to calculate the expected time -
Immediate
Predecessor Activity
Activity Most
Optimistic
Most
Likely
Most
Pessimistic
Expected Time
tei =
a + 4m + b
6
None A 4 7 13 =
𝟒+𝟒∗𝟕+𝟏𝟑
𝟔
= 𝟒𝟓/𝟔
A B 6 9 11 =
𝟔+𝟒∗𝟗+𝟏𝟏
𝟔
= 𝟓𝟑/𝟔
A C 5 7 9 =
𝟓+𝟒∗𝟕+𝟗
𝟔
= 𝟒𝟐/𝟔
B D 3 5 7 =
𝟑+𝟒∗𝟓+𝟕
𝟔
= 𝟑𝟎/𝟔
C E 7 8 10 =
𝟕+𝟒∗𝟖+𝟏𝟎
𝟔
= 𝟒𝟗/𝟔
D F 2 3 5 =
𝟐+𝟒∗𝟑+𝟓
𝟔
= 𝟏𝟗/𝟔
E G 6 7 8 =
𝟔+𝟒∗𝟕+𝟖
𝟔
= 𝟒𝟐/𝟔
F&G H 2 3 4 =
𝟐+𝟒∗𝟑+𝟒
𝟔
= 𝟏𝟖/𝟔
Program Evaluation and Review Technique

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1
A45/6
E49/6
D30/6
2
3
7 8
B53/6
4
H18/6
F19/6
C42/6
b. Network Diagram:
Program Evaluation and Review Technique
6
5
G42/6

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Program Evaluation and Review Technique
c & d. Earliest Completion Time and Critical Path:
c. Earliest Completion Time= 32.67 Weeks
d. Critical Path= 1-2-4-6-7-8 with a Time Duration of 32.67
Weeks.
Path Duration
1-2-3-5-7-8 45/6 + 53/6 + 30/6 + 19/6 + 18/6 = 27.5 Weeks
1-2-4-6-7-8 45/6 + 42/6 + 49/6 + 42/6 + 18/6 = 32.67 Weeks

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EXERCISE
 Solve the Case 1: Program Evaluation and Review
Technique.

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For More Details Contact
Dr. V M Tidake
tidkevishal@gmail.com
tidkevishalmba@sanjivani.org.in

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Thank You