Problems Show
1. A project consists of 10 activities, lettered A through J, as shown in the accompanying precedence diagram, with the activities on the arrows. For each activity, the deterministic time estimate in weeks is shown in the following table.
2. A project consists of 11 activities, lettered A through K, below. For each activity, the preceding activity is given, and a deterministic estimate of the length of time required to complete it in weeks.
3. A project consists of 8 activities, lettered A through H. below. For each activity, the preceding activity is given, and a probabilistic estimate of the time required to complete it. Times are in days.
4. Refer to Problem 3 and the original critical path before the earthquake.
5. After the earthquake, in Problem 3-i., management faced the problem of how to make up the lost time, and how much it would cost. Estimates of crash times and costs for each activity are given below.
*(because of the earthquake)
6. Construct the PERT network for Problem 3 with the activities on the nodes. Solutions 1. a, b.
c. The critical path is #3.
f.
2. a. b, c.
d. The critical path is #3, with a duration of 13 weeks. e.
f. It will delay the completion of the project by 2 weeks.
Repeat for each activity. For activity A: Image142 (1.0K)Image142 .Repeat for each activity.
c. d, e. There are four paths through the network.
f. The variance for each path is obtained by adding the variances of the activities on the path. For Path #1) Variance = .4444 + 1.0000 + 0 + 2.7778 + 0 = 4.2222. Repeat for each path.
g. The critical path is #2, with a duration , Image143 (0.0K)Image143 days.h. The second-most critical path is #3, with a duration of 23.5 days. i. The duration along the path, D - DII - E - F - H, is increased to 26.5 days. Because this total is larger than 24 days, this constitutes a new critical path. 4. a. The mean is the longest duration, or 24 days. c. Find the value of z in order to read the table of the areas of the standardized normal curve:Image145 (1.0K)Image145Image146 (1.0K)Image146 . d. Image147 (1.0K)Image147Image148 (1.0K)Image148 . e. Image149 (1.0K)Image149Image150 (1.0K)Image150 .5. a. Activity E should be crashed because
it is on the critical path and crashing it would be less expensive than crashing activity F. 6. 7. From Monday, May 1 to Friday, August 11 is 15 work weeks; set the last LS equal to 15.
Which of the following is the calculation of the probability that the critical path will be completed?Calculate z=(T-C)/V0.5. Then the probability that each critical path will be completed by time T is given by the probability of observing a value from the standard normal distribution N(0,1) with value z or less.
How to calculate probability of completing a project on time?1 Answer. 4.0kviews. written 6.4 years ago by teamques10 ★ 41k.. Step 1 :- For critical activity only. σ=tp−to6. Activity. T0. Tm. ... . Step 2:- Project duration = 31 days. Critical path =1-2-4-6-7-8.. Step 3:- The probability of completing the project in 35 days is. z = scheduled time-project durationϵ S.T.= 35 Days. P.D.= 31 Days.. What probability distribution is used to estimate the duration of an activity?The probability distribution of activity duration may be symmetric or un-symmetric, hence Beta distribution is the best choice for describing the expected duration of an activity.
Which of the following statements is are true for the critical path in a network of activities?Statement I & IV: True
The sum of the duration of the critical activities along a critical path gives the duration of the Project and it is the maximum duration allowed to complete the project.
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