Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 10.5, Problem 18P
Summary Introduction
Interpretation: The conditional probability that the project will be completed by 25 weeks given that node 7 representing activities A through H is completed by week 15 is to be computed, with the assumption that activity I is
Concept Introduction: Program Evaluation and review technique is a planning and control tool, wherein the work flow of various activities of a project are graphically represented and analyzed. This technique is distinct in the way that it deals with uncertainty in the activity completion times.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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?
The network diagram of a project with four activities is presented below.
Start
A
B
C
D
The estimated optimistic, most likely, and pessimistic times of each task are given in the table below. The expected time and variance
of acitivities A are also given in the table. The expected time and variance of activity C and D are irrelevant in this problem. So they
can be ignored.
optimistic
14
4
5
5
most
likely
B
18
10
7
10
End
pessimistic
23
18
13
12
Expected
time
18.167
XX
mm
variance
81/36
[Three decimal places for all answers)
(1) What is the expected task time of activity B?
(2) What is the variance of the task time for activity B
(3) What is the expected length of path A-B?
(2) What is the standard deviation of the length of path A-B?
yy
22
Using your results from Problem 6,(a) Calculate the probability that the project will be completedin 38 weeks.(b) Calculate the probability that the project will be completedin 42 weeks
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Consider the AON graph of a project shown in Figure 19.18.The activity times are 3, 4, 2, 5, 7, 2, 2, and 3 days for activities A1 through A8, respectively. What is the earliest completion time of the project?arrow_forwardA project is scheduled to complete in six months duration. There are two activities in the project. The actual cost of Activity 1 is SAR 300,000 and that of Activity 2 is SAR 200,000. The planned value of these activities is SAR 280,000 and 150,000 respectively. On reviewing, the current project status is Activity 1 is 100% completed and Activity 2 is only 75% completed. (i) Perform the earned value calculations of the above project scenario and fill the given table. (ii) What do you infer about the project schedule and cost based on your calculations? Earned Value Planned Value Actual Cost Cost Variance Activity Scheduled Variance Cost performance Index Schedule performance Index Month 1arrow_forwardA project is scheduled to complete in six months duration. There are two activities in the project. The actual cost of Activity 1 is SAR 300,000 and that of Activity 2 is SAR 200,000. The planned value of these activities is SAR 280,000 and 150,000 respectively. On reviewing, the current project status is Activity 1 is 100% completed and Activity 2 is only 75% completed. (i) Perform the earned value calculations of the above project scenario and fill the given table. Activity Month 1 Earned Value Planned Value Actual Cost Cost Variance Scheduled Variance Cost performance Index Schedule performance Index (ii) What do you infer about the project schedule and cost based on your calculations?arrow_forward
- Consider 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_forwardStarting the backward pass with activity I, the latest finish time is LF = 26 and that the activity time is t = 2. And the latest start time for activity I is LS = 24. What is the earliest start (ES) and earliest finish (EF) times?arrow_forwardAs a project lead for Project Hoop2, you have been given the task of generating a project reserve. You have been given the data below, where “Opp” followed by a number means a specified Opportunity. What is the amount of the total net overall reserve amount that you recommend to the project manager?arrow_forward
- Task C is directly preceded by two tasks–task A and task B. Task A has an expected task completion time of five weeks and an ES time of week 6. Task B has an expected task completion time of seven weeks and an ES time of week 7. Task C has an expected task completion time of 10 weeks. The ES for activity C is?arrow_forwardGiven the following activity network: Three nodes - A1, A2, A3; two paths - A1, A2 and A1, A3. Activity A1 takes 5 weeks, A2 takes 7 weeks, and A3 takes 4 weeks with a 50% probability and 10 weeks with a 50% probability. What is the project completion time under the worst-case scenario, that is, A3 is late and takes 10 weeks? A. 15 B. 10 C. 12 D. 9arrow_forwardA project consists of seven activities, lettered A through F below. For each activity, the estimated normal time in number of weeks, crash time, normal cost, crash cost, and its preceding activity are given. Normal Time Crash Time Normal Cost Crash Cost Immediate Activity (weeks) (weeks) (Peso) (Peso) Predecessor(s) A 4 3 2,000 2,600 B 1 2,200 2,800 3 500 500 D 8 4 2,300 2,600 A E 6 900 1,200 В F 3 3,000 4,200 G 4 1,400 2,000 D, E If you wish to reduce the time required to complete this project by one week, which activity should be crashed? O Activity C O Activity D O Activity E O Activity B O Activity Aarrow_forward
- Dave 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: Dave's earliest start (ES) and earliest finish (EF) are: Dave's latest start (LS) and latest finish (LF) are: Activity A B C D Time (weeks) 7 6 2 2 Immediate Predecessor(s) A A Activity A C D F G H Activity H Time Activity (weeks) E 4 F 6 G 10 H 6 ES 0 0 7 7 6 6 10 12 LS 14 EF 7 9 1228 10 20 LF Immediate Predecessor(s) B B C, E D, F 27arrow_forwardDescribe is the cheapest way to cancel some activities in order to reduce the (estimated) project duration to the specified level in operations management in project scheduling ?arrow_forwardYou are in charge of a project at the local community center. The center needs to remodel one ofthe rooms in time for the start of a new program. Delays in the project mean that the center mustrent other space at a nearby church at additional cost. Time and cost data for your project arecontained in below table. Your interest is in minimizing the cost of the project to the communitycenter.Using the normal times for each activity, what is the earliest date you can complete the project?Suppose the variable overhead costs are $50 per day for your project. Also, suppose that thecenter must pay $40 per day for a temporary room on day 15 or beyond. Find the minimum-costproject schedule using below format.The AON diagram for the community center project is below. Crash 4 times and find total cost.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill EducationOperations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
- Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage LearningProduction and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.
Inventory Management | Concepts, Examples and Solved Problems; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=2n9NLZTIlz8;License: Standard YouTube License, CC-BY