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, Problem 30AP
A.
Summary Introduction
Interpretation: A network diagram representing the activities of the project is to be constructed.
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.
B.
Summary Introduction
Interpretation: The critical path is to be identified by computing the earliest and the latest start and finish times.
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.
C.
Summary Introduction
Interpretation: The optimal solution for the project is to be determined by expediting the project one day at a time. The duration, cost and savings of the optimal solution are to be computed.
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.
D.
Summary Introduction
Interpretation: The optimal solution for the problem is to be determined using linear programming.
Concept Introduction: Linear programming is a mathematical technique used to achieve the best outcome, given a list of parameters usually restrictions on the resources.
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The activities of a project, their normal and shortest completion times in days, their respective completion costs in euros, and the constraints on their execution sequence are presented in the table below. Questions: A) To build the network that graphically illustrates the project. B) To find the shortest and slowest start and end times. C) Find the critical path and calculate the total cost. D) To consider the case of reducing the total duration of the project by 1 day at the lowest possible cost.
Based on the given set of activities answer the following:
1. Develop a precedence for each of the activity based on the information provided in the case.
2. Draw a network diagram and also calculate the forward and the backward pass for each of the activities.
3. Identify the paths as well as the critical path for the given project and also determine the slack time for each activity.
Note: This question is related to Project Management Course.
Consider the following project network and activity times (in weeks):
a. Identify the critical path.
b. How much time will be needed to complete this project?
c. Can activity D be delayed without delaying the entire project? If so, by how many weeks?
d. Can activity C be delayed without delaying the entire project? If so, by how many weeks?
e. What is the schedule for activity E?
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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- The table below contains the activities, their normal and crash time, and cost along with predecessor activity. Crash this project up to 5 weeks (in the optimum way) step by step.arrow_forwardGiven the following network and activity time estimates, determine: The expected time and variance for each activity The critical path. This must be based on your calculations of the start and finish times and not by inspection. The expected project completion time, variance and standard deviationarrow_forwardThe estimated times and immediate predecessors for the activities in a project a t George Kyparis's retinal scanning company are given in the following table. Assume that the activitytimes are independent. a) Calculate the expected time and variance for each activity.b) What is the expected completion time of the critical path?What is the expected completion time of the other path in the network?c) What is the variance of the critical path? Wha t is the variance of the other path in the network?d) If the time to complete path A-C is normally distributed, what is the probability that this path will be fini shed in 22 weeks or less?e) If the time to complete path B- D is normally distributed, what is the probability that this path will be finished in 22 weeks or less?f) Explain why the probability that the critical path will be finished in 22 weeks or…arrow_forward
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