Project #3744 - Operations Management

 

1) A PERT problem is detailed in the table below. Times are given in weeks.

 

Activity

Preceding

Optimistic

Time

Probable

Time

Pessimistic

Time

A

--

4

6

11

B

A

5

9

13

C

A

3

7

14

D

B, C

8

10

12

E

C

6

7

9

F

C

4

6

8

G

E

5

5

8

H

E, F

8

10

16

I

D, G, H

6

12

14

 

 a. Draw a network diagram using the AOA approach and identify all paths of the project.

 

b. What is the expected completion time of the project?

 

c. What are the project variance and the project standard deviation?

 

d. Determine all possible paths. Which path is critical?

 

e. Determine the probability that the project is completed within 48 weeks, assuming that the path

 

    identified in (b) is critical.

 

(Hint: Use dummy activities.)

 

 2)  Nick  Dunbun, the owner of Huntington Steel Co., currently has five jobs to be scheduled, shown in the order in which they arrived. Show your supporting calculations in detail.

 

Job

Processing Time (hours)

Due (hours)

V

28

58

W

15

50

X

60

95

Y

22

40

Z

70

120

 

 a. Which dispatching rule has the best score for flow time?

 

b. Which dispatching rule has the best score for work-in-process (jobs in the system)?

 

c. Which dispatching rule has the best score for lateness?

 

d. What dispatching rule would you select? Support your decision.

 

e. Complete the following table.

 

 

Dispatching Rule

Job Sequence

Average Flow Time

Average Number of Jobs

Average Lateness

FCFS

 

 

 

 

SPT

 

 

 

 

EDD

 

 

 

 

CR

 

 

 

 

 

 Please summarize your step-by-step results in MS WORD file format

Subject Business
Due By (Pacific Time) 4/10/2013
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