Project management

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Hong Kong Institute of Vocational Education Name : _____________ Department of Engineering Stud# : _____________ Class : _____________ Assignment (Network Analysis & Critical Path) Date : _____________ 1 a. Construct the arrow diagram comprising activities A, B, C, ..., M that satisfies the

following precedence relationships : (19 marks) – A, B and C are the first activities of the project and they can start simultaneously. – Activities D, G and H start immediately after B is completed. – Activities E and F start when both A and D are completed. – Activities I and J succeed activity H. – Activity K and M succeed activities C and J. – Activity L succeeds activities F, G, I and K. – Activity E, L and M are the terminated jobs of the project. Then, carry out forward and backward analysis to complete the network.

Activities Duration (days) Activities Duration (days) A 5 H 9 B 10 I 4 C 1 J 3 D 8 K 5 E 3 L 8 F 7 M 4 G 10

b. Construct the following table, and find the critical path. (31 marks)

Activities Duration EST EFT LST LFT Total Float

Free Float

Indep. Float

A B C D E F G H I J K L M

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2 Given the following table displaying the logical connections of activities and the time estimates of a project:

Time (Days) Activity a m b Precedence

A 5 7 21 - B 4 12 14 - C 2 3 10 - D 3 4 11 A E 5 7 15 A F 3 11 13 B G 5 7 9 C H 3 5 13 E

a. Construct the network diagram for the project.

Also, calculate the EST and LST of the events and mark on the diagram. (12 marks)

b. Calculate the te, σ2,TF, FF and IF. (Show all your calculation steps). (16 marks)

c. Identify the critical path. (2 marks)

d. Determine the probability of the project’s completion in 21 days and in 26 days. (10 marks)

e. By what date would there be a 95% and a 98% chance of completion respectively? (10 marks)

(Correct to 2 decimal places)

Time (Days) Activity a m b te σ2 TF FF IF

A 5 7 21 B 4 12 14 C 2 3 10 D 3 4 11 E 5 7 15 F 3 11 13 G 5 7 9 H 3 5 13