Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 10.3, Problem 10P
Summary Introduction
Interpretation: The optimal time to complete the project and the optimal project completion cost is to be computed, when the indirect costs amounts to $100 per day.
Concept Introduction: Network diagram is a graphical representation of tasks and events happening in a project. It depicts the work flow and is used to compute the total duration of the project.
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Using the information given and the project completiontime calculated in Problem 9(a), reduce the completion time ofthe project by 5 weeks in the most economical way
The Virginia Department of Transportation is undertaking a construction project to widen a large
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activities are standard for the planning and scheduling of this process:
Activity Activity description
Time
predecessor estimates
(weeks)
Activity
a
| b
Select project management
2 2
a
b
Develop team recruitment process
3
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Implement team recruitment process
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Project Management Homework-Project Crashing
Use the following scenario and data to answer all related questions.
A community neighborhood association decided to add a swimming pool to the community activity center.
The project is divided into the activities listed in the following table. The activity times and costs, both normal and crashed, are given.
To finish the project before the summer season starts, the neighborhood has to make time and cost tradeoffs.
If the project needs to be finished in 20 weeks, you are required to formulate a linear programming model to decide about how much to crash for each activity.
Activity
Immediate
Predecesso Normal
Gs)
Cost (5)
Cost (5)
Crashed
Normal
Crashed
A
4
2
800
1400
B
A
5
2
3000
4200
C
6
4
2500
2800
D
A, C
7
5
1600
2200
E
B, C
5
2
1200
2100
F
D
4
3
1300
2100
G
E, F
5
3
8200
9000
To answer the following questions, you may want to use the last column of the following table to compute the cost of crashing an activity by one week.
Immediate…
Chapter 10 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Prob. 9PCh. 10.3 - Prob. 10P
Ch. 10.4 - Prob. 11PCh. 10.4 - Prob. 12PCh. 10.4 - Prob. 13PCh. 10.4 - Prob. 14PCh. 10.4 - Prob. 15PCh. 10.4 - Prob. 16PCh. 10.5 - Prob. 17PCh. 10.5 - Prob. 18PCh. 10.5 - Prob. 19PCh. 10.5 - Prob. 20PCh. 10.5 - Prob. 21PCh. 10.6 - Prob. 22PCh. 10.6 - Prob. 23PCh. 10.6 - Prob. 24PCh. 10.6 - Prob. 25PCh. 10 - Prob. 26APCh. 10 - Prob. 27APCh. 10 - Prob. 28APCh. 10 - Prob. 29APCh. 10 - Prob. 30AP
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- Table contains information about an environmental cleanup project in the township of Hiles. Shorten the project three weeks by finding the minimum-cost schedule. Assume that project indirect costs and penalty costs are negligible. Identify activities to crash while minimizing the additional crash costs.arrow_forwardWhat's the best way to resolve this problem? Kelle Carpet and Trim installs carpet in commercial offices. Peter Kelle has been very concerned with the amount of time it took to complete several recent jobs. Some of his workers are very unreliable. A list of activities and their optimistic completion time, the most likely completion time, and the pessimistic completion time (all in days) for a new contract are given in the following table: Activity a m b Immediate Predecessor(s) Activity a m b Immediate Predecessor(s) A 3 5 9 - G 1 2 3 A, E B 4 5 6 - H 4 6 8 F C 1 2 3 - I 10 11 12 G D 7 8 9 C J 15 17 19 C E 1 3 5 B, D K 4 8 12 H, I F 5 10 15 A, E b) Activities on the critical path for the project are C - D - E - F - H - K c) For the given project, the earliest start (ES) and earliest finish (EF) are: For the given project, the latest start (LS) and latest finish (LF) are: (Round your responses to two decimal places.) Referring to the…arrow_forwardPirmin's Bike Shop is behind on a custom bike and needs to crash 8 hours of time from the 8-step project. Given the project table below calculate the crash cost for 8 hours of time-savings. Suppose Pirmin calls the customer and asks for a project extension, reducing the amount of time he needs to crash. Calculate both the maximum time-savings available on a $25 crash budget and the cost to crash four hours of savings. Make sure to draw the project network before performing the analysis Activity A B C D E F G GH H Normal Duration (hours) 2 3 5 3 6 1 7 10 Normal Cost ($) 10 15 25 20 30 5 35 50 Crash Duration (hours) 2 2 4 1 4 67 Crash Cost (5) 23 30 24 45 0 50 80 Immediate Predecessors None A B C C E F D, Garrow_forward
- Your hospital has applied for certification as a level 1 stroke center. It is critical that the following project is completed in 18 weeks, before the next Joint Commission survey. Project activity times are listed in the table attached as an image. Determine the minimum cost-schedule for this project to be completed in 18 weeks. Assume a linear relationship between crash cost and crash time. For example, crash cost per week for activity A can be calculated as: ($650 - $200)/(4-2) = $225. 2. What is the difference in total project costs between the earliest completion time of the project using normal times and the minimum cost-schedule you found in part 1?arrow_forwardConsider a project that has been modeled as in Table 1 Draw the PERT/CPM network for this project and determine the project’s expected completion time µP and its critical path. Suppose the standard deviations of the activity durations are σA = 2, σB = 1, σC = 0, σD = 2, σE = 3, and σF = 0. Then please estimate the standard deviation of the overall project’s standard deviation σP . Suppose for the standard Normal random variable Z, we know P[−1 ≤ Z ≤ +1] ' 68%, P[−2 ≤ Z ≤ +2] ' 95%, and P[−3 ≤ Z ≤ +3] ' 99.7%. Then, approximately what time T is one for which there is only a less than 2.5% chance for the completion time to beat (be shorter than)?arrow_forwardWe are the project manager for an IT project in our company. We identified the following top-level project tasks and estimated durations to standup a small test lab for the project: Identify test lab building/space requirements and possible locations(8days) Select best location for lab (1day) Once the best location is selected, immediately start the next two tasks: Prepare lab space with power and cabling (3days) Identify/procure required specialized test lab hardware/software(5) Once the lab space is prepared, install/check out available infrastructure hardware/software(1day). Once the specialized software/hardware is received and the infrastructure hardware/software is installed/checked out, install/checkout specialized software/hardware (2days) Once all tasks are completed, conduct the final inspection (1 day). Let's create a PERT/CPM chart for this project and identify the overall project duration and critical path.arrow_forward
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- Consider a project that has been modeled as in the table below: a. Draw the PERT/CPM network for this project and determine the project’sexpected completion time μP and its critical path. b. Suppose the standard deviations of the activity durations are σA = 2,σB = 1, σC = 0, σD = 2, σE = 3, and σF = 0. Then please estimate the standarddeviation of the overall project’s standard deviation σP . c. Suppose for the standard Normal random variable Z, we know P[−1 ≤Z ≤ +1] ' 68%, P[−2 ≤ Z ≤ +2] ' 95%, and P[−3 ≤ Z ≤ +3] ' 99.7%. Then,approximately what time T is one for which there is only a less than 2.5% chance forthe completion time to beat (be shorter than)? *Please solve a-c and neatly write or type your answers, showing your steps, NO EXCEL*arrow_forwardThe Farmer's American Bank of Leesburg is planning to install a new computerized accounts system. Bank management has determined the activities required to complete the project, the precedence relationships of the activities, and activity time estimates, as shown in the following table. Use POM- QM to analyze this project. According to the result of POM-QM, the expected project completion time is (type number only, no text) Activity a b C d C f 8 k Activity Description Position recruiting System development System training Equipment training Manual system test Preliminary system changeover Computer-personnel interface Equipment modification Equipment testing System debugging and installation Equipment changeover Activity Predecessor a a b, c b, c d, e d, e h f.g a 5 3 4 5 I 1 3 Time Estimates (weeks) 1 1 2 5 m 8 12 7 8 I 4 6 2.5 1. 2 8 b 17 15 10 23 1 13 9 7 1 2 11arrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Time Activity (weeks) 6 7 ABCO 3 2 Immediate Predecessor(s) A A D Dave's earliest start (ES) and earliest finish (EF) are: Time Activity (weeks) 4 EFGHI 6 10 7 Immediate Predecessor(s) B B C, E D,Farrow_forward
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