Identify all paths their expected times and total slack for


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1. Using the information in the following project diagram where deterministic times are in days:

45_project diagram.png

a) Complete the following table.

Activity

Time

ES

LS

EF

LF

Slack

Critical Path (y/n)

A

 

 

 

 

 

 

 

B

 

 

 

 

 

 

 

C

 

 

 

 

 

 

 

0

 

 

 

 

 

 

 

E

 

 

 

 

 

 

 

F

 

 

 

 

 

 

 

G

 

 

 

 

 

 

 

H

 

 

 

 

 

 

 

I

 

 

 

 

 

 

 

b) Identify all paths, their expected times, and total slack for each path in the project and specify the critical path. What is the expected project duration?

2. zBull Dozier, Project Superintendent for the Carefully Planned Monuments (CPM) Co., is about to begin a project comprised of the following six activities:

ACTIVITY

PRECEDED BY

TIME ESTIMATES (days)

OPTIMISTIC

MOST LIKELY

PESSIMISTIC

A

---

38

50

62

B

---

90

99

108

C

---

85

100

115

D

A

19

25

31

E

B

91

100

115

F

D

62

65

68

Complete the tables below.

1120_project diagram.png

Activity

Mean

Variance

A

 

 

B

 

 

C

 

 

D

 

 

E

 

 

F

 

 

Path

Expected Time

Std Deviation

z-value

Path Probability of Completion

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

What is the probability that this project will be completed within 205 days?

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Operation Management: Identify all paths their expected times and total slack for
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