EBK PRODUCTION AND OPERATIONS ANALYSIS
7th Edition
ISBN: 8220102480681
Author: Olsen
Publisher: WAVELAND
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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.
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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
Chapter 10 Solutions
EBK PRODUCTION AND OPERATIONS ANALYSIS
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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- 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
- The project contains 6 tasks. We completed three tasks (A, B, C), and started two (D, E) but could not complete them. The planned budget for each task, Actual cost we spent so far, completion rate by today according to the plan, and actual completion rate by today are shown in the table. Task ID Actual Cost A 8 C E F Planned Budget $100 $150 $100 $160 $200 $100 5) TCPI: $80 $150 $100 $130 $90 $0 Planned Completion Rate by Today 100% 100% 100% 25% 50% 0% Actual Completion Rate 100% 100% 100% 50% 50% 0% 1) CPI: 679 (Round to two decimals/hundredth (x.xx)) 2) SPI: (Round to two decimals/hundredth (x.xx)) 3) EAC under the assumption that the cost performance will remain as it is (current CPI): (Round to the nearest integer) 4) EAC under the assumption that the cost performance will be as planned (budget rate): (Round to the nearest integer) (Round to two decimals/hundredth (x.xx))arrow_forwardA project has 7 activities P, Q, R, S, T, U, and V. Three time estimates (optimistic, most-likely, pessimistic) are used for each activity. Write down your answers to all parts of the question in the box given below. Give your answer to 3 decimal places. (Note (a) has of 2 parts and (b) has of 3 parts) For activity Q, these time estimates are as follows: optimistic time = 9, most-likely time = 14, pessimistic time = 20. Write down the average activity time for Q the variance of activity time for Q. The critical path of this project has a mean project time of 44 days and a standard deviation of 5 days. Assume project completion time is normally distributed. Find the probability that the project will be completed in 47 days. Find the probability that the project will take more than 40 days. We want to set a deadline for this project completion. If the probability of meeting this set deadline is 0.88, what will be the deadline for this project.arrow_forwardThe following information has been computed from a project: Expected total project time = T = 62 weeks Project variance = 81 1- What is the probability that the project will be completed 18 weeks before its expected completion date? 2- Draw Normal Curve & Analysis your solution with conclusionarrow_forward
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