Question 2 Project Crashing (14 marks) The project manager of a task force planning the construction...

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Question 2 Project Crashing (14 marks) The project manager of a task force planning the construction of a domed stadium had hoped to be able to complete the construction prior to the start of the next season. After reviewing construction duration estimates, it now appears that certain amount of crashing will be needed to ensure project construction before the season opener. a) Given the following information, draw AON network for the project and determine the critical path(s) and the other paths. (5 marks) b) Determine a minimum cost- crashing schedule that will reduce seven weeks off the project length. Show your steps and calculations. (7 marks) c) What is the total crashing cost? (2 marks) Activity Predecessor Normal Time (Weeks) First Week Second Week Crash Cost Crash Cost A 12 $15000 $20000 B A 14 $10000 $10000 C -- 10 $5000 $5000 D 17 $20000 $21000 E C 18 $16000 $18000 F C 12 $12000 $15000 G D 15 $24000 $24000 H E 8 -- I F 7 J I 12 K B 9 www $30000 $25000 $10000 www $25000 $10000 M G 3 N H 11 P H, J 8 www $20000 $20000 www www $20000 Question 3 Gantt Charts and Resource Management (14 marks) The table below lists all activities for a construction project with their predecessors, duration in weeks and resources Activity Predecessor Duration (Weeks) Personnel Required Per Week A - 3 B -- 5 C - 1 D A 1 E B 7 F B 6 G C 4 H C 3 I D, E 6 J F, G 4 K H 3 9 6 4 10 16 125823 7 a) Draw a Gantt chart for the above project. (4 marks) b) Determine the critical path and the minimum project time. (1 mark) c) Calculate the total floats for each non-critical activity. (2 marks) d) Allocate the resources for each activity and draw a histogram showing the weekly usage of resources. (2 marks) e) f) Assume that the maximum workers per week available for the project is 25. Identify any with resource over commitments. (2 marks) Apply resource levelling to ensure that the maximum resource required per week does not exceed 25 workers. Explain your solution. (3 marks) SECTION C (Four Questions, Total 56 marks) Question 1: Critical Path Analysis (14 marks) A software company has received a contract from a client for the development of an E-Auction system. A team of engineers has determined the activities, precedence constraints and time estimates as given in the table below. All times are in weeks. Activity Predecessors Optimistic Time (a) Most Likely Time Pessimistic A 4 (m) 6 Time (b) 8 B 1 4.5 5 C A 3 3 3 D A 4 5 6 E A 0.5 1 1.5 F B,C 3 4 5 G B,C 1 1.5 5 H E,F 5 I E,F 2 J D.H 2.5 K G,I 3 6525 7 8 2.75 4.5 7 (a) Draw an activity on arrow (AOA) network to represent this project. (5 marks) (b) Complete the expected time for each activity of the project. Determine the critical path(s). What is the expected project completion time and its variance? (4 marks) (c) Calculate the free float for each non-critical activity. (2 marks) (d) What is the probability that the project will be completed within 24 weeks (1 mark) (e) By what date is management 96 percent sure completion will occur? (2 marks) Question 2 Project Crashing (14 marks) The project manager of a task force planning the construction of a domed stadium had hoped to be able to complete the construction prior to the start of the next season. After reviewing construction duration estimates, it now appears that certain amount of crashing will be needed to ensure project construction before the season opener. a) Given the following information, draw AON network for the project and determine the critical path(s) and the other paths. (5 marks) b) Determine a minimum cost- crashing schedule that will reduce seven weeks off the project length. Show your steps and calculations. (7 marks) c) What is the total crashing cost? (2 marks) Activity Predecessor Normal Time (Weeks) First Week Second Week Crash Cost Crash Cost A 12 $15000 $20000 B A 14 $10000 $10000 C -- 10 $5000 $5000 D 17 $20000 $21000 E C 18 $16000 $18000 F C 12 $12000 $15000 G D 15 $24000 $24000 H E 8 -- I F 7 J I 12 K B 9 www $30000 $25000 $10000 www $25000 $10000 M G 3 N H 11 P H, J 8 www $20000 $20000 www www $20000 Question 3 Gantt Charts and Resource Management (14 marks) The table below lists all activities for a construction project with their predecessors, duration in weeks and resources Activity Predecessor Duration (Weeks) Personnel Required Per Week A - 3 B -- 5 C - 1 D A 1 E B 7 F B 6 G C 4 H C 3 I D, E 6 J F, G 4 K H 3 9 6 4 10 16 125823 7 a) Draw a Gantt chart for the above project. (4 marks) b) Determine the critical path and the minimum project time. (1 mark) c) Calculate the total floats for each non-critical activity. (2 marks) d) Allocate the resources for each activity and draw a histogram showing the weekly usage of resources. (2 marks) e) f) Assume that the maximum workers per week available for the project is 25. Identify any with resource over commitments. (2 marks) Apply resource levelling to ensure that the maximum resource required per week does not exceed 25 workers. Explain your solution. (3 marks) SECTION C (Four Questions, Total 56 marks) Question 1: Critical Path Analysis (14 marks) A software company has received a contract from a client for the development of an E-Auction system. A team of engineers has determined the activities, precedence constraints and time estimates as given in the table below. All times are in weeks. Activity Predecessors Optimistic Time (a) Most Likely Time Pessimistic A 4 (m) 6 Time (b) 8 B 1 4.5 5 C A 3 3 3 D A 4 5 6 E A 0.5 1 1.5 F B,C 3 4 5 G B,C 1 1.5 5 H E,F 5 I E,F 2 J D.H 2.5 K G,I 3 6525 7 8 2.75 4.5 7 (a) Draw an activity on arrow (AOA) network to represent this project. (5 marks) (b) Complete the expected time for each activity of the project. Determine the critical path(s). What is the expected project completion time and its variance? (4 marks) (c) Calculate the free float for each non-critical activity. (2 marks) (d) What is the probability that the project will be completed within 24 weeks (1 mark) (e) By what date is management 96 percent sure completion will occur? (2 marks)