Activity

Optimistic Most Time Likely Time 10 20 4 2 8 8 4 2 6 2 22 20 10 14 8 14 4 12 16 8

Pessimisti Predecess c Time or 22 20 16 32 20 20 4 16 38 14 . . . A B, C B, C B, C C G, H D, E Expected time 20 20 10 15 10 14 4 11 18 8

A B C D E F G H I j

The Network Completion Time Critical Path Probability that project will be done in 45 days Completion time corresponding to 95% probability

4 0 4 25 4 4 0 5.44 28.44 4

Activity

Optimistic Most Time Likely Time 10 20 4 2 8 8 4 22 20 10 14 8 14 4

Pessimisti Predecess c Time or 22 20 16 32 20 20 4 . . . A B, C B, C B, C

A B C D E F G

Find: 1.The Network 2.Completion Time 3.Critical Path 4.Probability that project will be done in 23 days 5.Completion time corresponding to 95% probability

Activity AB AC CB CD CE BD BE DF DE EF

a 3 1 0 3 2 0 2 4 1 1

m 6 4 3 3 2 0 5 4 1 4

b 9 7 6 3 8 6 8 10 1 76 4 3 3 3 1 5 5 1 4

a)Draw Network a b)Even slacks. c)Probability of c d)Effect if CD slip

a)Draw Network and critical path. b)Even slacks. c)Probability of completion in 14 days. d)Effect if CD slips to 6 days; 7 days; 8 days

Example 4 A small software development project at Krishna Dhirs firm has five major activitie provided in the table below. Find the expected time for completing Dhirs project. Activity Immediate Predecess or a m b

A B C D E

2 5 8 3 6 9 A 4 7 10 B 2 5 14 C 3 3 3 a) Find the expected completion time for this project. b) What variance value would be used to find probabilities of finishing by a certain tim

has five major activities. The times are estimated and project.

nishing by a certain time?

Example 5 Activity AB AC CB CD CE BD BE DF DE EF

a

m

b

3 6 9 1 4 7 0 3 6 3 3 3 2 2 8 0 0 6 2 5 8 4 4 10 1 1 1 1 4 7 a)Draw Network and critical path. b)Event slacks. c)Probability of completion in 14 days. d)Effect if CD slips to 6 days; 7 days; 8 days

The project information for a customer order fo Air Control Company is presented here. Draw t ID A B C D E F G H Activity Order Review Order Parts Produce parts Design Custom Parts Software Development Manufacture Custom Hardware Assemble Test Predecessor

A A A A C, D B, F E, G

s presented here. Draw the network, complete early finish and late finish times and identify critical path. Time 2 15 10 13 18 15 10 5

dentify critical path.

A group of college students are seeking to have a band called the Bloodless Coup perform at t Use PERT analysis to be used to determine the probability of the concert preparations being c

ess Coup perform at their college. However, they only have 18 days to organize the activity. t preparations being completed in 18 days or less.

A B C D E F G H

Application Apprioval Construction Plans Traffic Study Service Availability Check Staff Report Commission Approval Wait for Construction Occupancy

Earliest Time Activity Time Start Finish 5 0 5 15 5 20 10 5 15 5 5 10 15 20 35 10 20 30 170 30 200 35 200 235

Latest Time Start Finish 0 5 5 20 10 20 15 20 185 200 20 30 30 200 200 235

Total float Available 0 0 5 10 165 0 0 0

Draw the network diagram for the following problem and indicate a sequence of plans that the The company is not interested in reducing the project duration below 29 days. Start with the p Activity Preceding Activity A A B B C D, E G, H Time(days) Regular Crash Program Program 10 9 14 11 8 7 7 2 5 3 10 7 9 9 11 9 5 3

A B C D E F G H I

sequence of plans that the company should want to consider in making a time-cost tradeoff. ow 29 days. Start with the plan that has the longest duration. Cost (Rs) Regular Crash Program Program 5,000 5,200 3,500 3,950 4,000 4,100 2,100 3,600 2,500 3,000 2,250 3,750 5,000 5,000 3,850 5,250 2,375 3,575

radeoff.