Calculate the path mean and network diagram, Operation Management

For the following data:

 

Time (in Days)

 

Activity

Immediate Predecessor

Optimistic

Most Likely

Pessimistic

A

-

3

6

8

B

-

2

4

4

C

-

1

2

3

D

C

6

7

8

E

B, D

2

4

6

F

A, E

6

10

14

G

A, E

1

2

4

H

F

3

6

9

I

G

10

11

12

J

C

14

16

20

K

H, I

2

8

10







a. Draw the network diagram.

b. Calculate the expected (mean) completion time and its standard deviation for each activity.

c.  Calculate the path mean and the path standard deviation for all of the possible paths.

d.  Identify the critical path and critical activities.

e.  What are the expected project completion time and variance?

f.   What is the probability that the project:

i)   will be completed within 38 days?

ii)  will take more than 35 days to complete?

iii) will take between 35 and 38 days to complete?

Note: use the short method to compute the above probabilities.

g. Within how many days does the project have a 90% probability of completion?

h. Using the expected (mean) completion time, calculate the ES, EF, LS, LF, and slack for each activity.

i.  Solve the problem using POM for Windows. Turn in the output that lists the activities and their ES, EF, LS, LF and the slack. 

 Notes:

1. Do parts (a) through (h) manually.  Keep two decimal places for all calculations.

2. Disregard the network diagram generated by POM for Windows, because it uses different convention.  To input the data, you will need the 'immediate predecessor' list for each activity.  Furthermore, use the 'triple time estimates' option to input the activities and their estimated time durations.  Make sure your manual computations in parts (b), (d), (e) and (h) match with the computer results.

3. Compute the probabilities manually, using the Normal table.  Disregard the computer generated probabilities, if any.

4. Make sure your work looks nice and neat.

5. Answer parts (a) through (h) separately, with each section clearly marked. 

6. Make sure that all pages are arranged serially.

7. The entire submission should be word-processed. That is, no hand-written works will be accepted.

Posted Date: 2/21/2013 12:58:43 AM | Location : United States







Related Discussions:- Calculate the path mean and network diagram, Assignment Help, Ask Question on Calculate the path mean and network diagram, Get Answer, Expert's Help, Calculate the path mean and network diagram Discussions

Write discussion on Calculate the path mean and network diagram
Your posts are moderated
Related Questions
All of the following items describe the sponsor's responsibilities for the project EXCEPT: A. Defines performace / success criteria B. Selects a manageable set of project to

Do you think global businesses would be willing to subscribe to a global code of conduct?

Layout Planning - Facility Layout Layout planning occurs at three levels of detail:  1. Layout of departments on the site For a public house, as an exampl

Explain Compensation. Compensation: An employer is not responsible to pay compensation to an employee under the given circumstances/occasions: - (i) While the injury disa

2. Inez Garcia was born in Portland, Oregon. Her mother is from Italy and Jewish. Her father is Mexican. Under the Guidelines on Discrimination Because of Religion or National Orig

What do companies have to do about their workforce force that has gotten older and there are not of younger to replace the aging workers? What will be the company best course of ac

What future for Operations Research/Industrial Engineering? In your own words, answer the following questions in an essay: What is this presentation about? What does th

In what sequence would the jobs be ranked according to the following decision rules

If a corporation doubles the number of exposure units, what may be said to happen to the degree of objective risk? Explain your answer and state the basic principle illustrated.

The Dominos pay their household bills and everyday expenses from their joint chequing account, which has a current balance of $4,200. They both opened Tax Free Savings Accounts and