Operations and Supply Chain Management 9th edition
9th Edition
ISBN: 9781119320975
Author: Roberta S. Russell, Bernard W. Taylor III
Publisher: WILEY
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Textbook Question
Chapter 9, Problem 5P
For the network in Problem 9.4, determine the earliest start and finish times, latest start and finish times, and slack for each activity. Indicate how the critical path would be determined from this information.
Construct a network from the information in the following table and identify all the paths in the network, compute the length of each, and indicate the critical path.
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Students have asked these similar questions
The table below represents a IS project set of activities, its expected completion time (weeks) and preceding activities.
Activity
Expected Time
(weeks)
Preceding activities
A
5
None
B
4
None
C
10
A
D
8
B
E
14
B
F
6
C, D
G
7
D, E, F
H
3
F, G
Draw a network diagram for the IS project shown above. For each activity, calculate its earliest completion time (TE) and latest completion time (TL). Label TE and TL on the network diagram.
Calculate the slack time for each activity.
The following is the data available for a project:
Activity
Predecessor
Expected Duration (Days)
A
-
12
B
A
9
C
B,E
3
D
-
10
E
D
6
F
E
3
G
-
2
H
G
9
I
E,H
2
Expected duration for the completion of the project. Calculate earliest and latest start and finish times for each activity.
Draw the network diagram for the project and determine the critical path
Duration and requirement of workforce for each activity is tabulated below for a network
Activity
Duration
Number of men
1-2
3
5
2-4
2
3
2-3
3
7
3-4
0
0
3-5
3
2
4-5
7
2
3-6
2
1
5-6
6
6
4-6
5
5
(i) Draw the network and comment on the scheduling of activities to smoothen the development of the workforce
(ii) Indicate the maximum crew size in each case
(iii) Re-schedule the activities for smooth development
(iv) Find the project schedule if only 4 men are available
Chapter 9 Solutions
Operations and Supply Chain Management 9th edition
Ch. 9 - Why is CPM/PERT a popular and widely applied...Ch. 9 - What is the purpose of a CPM/PERT network?Ch. 9 - Why are dummy activities used in a CPM/PERT...Ch. 9 - What is the critical path, and what is its...Ch. 9 - What is slack, and how is it computed?Ch. 9 - How are the mean activity times and activity...Ch. 9 - How is total project variance determined in...Ch. 9 - What is the purpose of project crashing analysis?Ch. 9 - Describe the process of manually crashing a...Ch. 9 - Which method for determining activity time...
Ch. 9 - Explain how a Gantt chart differs from a CPM/PERT...Ch. 9 - Discuss the relationship of direct and indirect...Ch. 9 - Describe the limitations and disadvantages of...Ch. 9 - Describe the difference between activity-on-node...Ch. 9 - Identify and briefly describe the major elements...Ch. 9 - Select an everyday project you are familiar with...Ch. 9 - Prepare a WBS for a spaghetti with meatballs...Ch. 9 - Construct a Gantt chart for the project described...Ch. 9 - Construct a Gantt chart for the project described...Ch. 9 - Use the project activities that follow to...Ch. 9 - Construct a network from the information in the...Ch. 9 - For the network in Problem 9.4, determine the...Ch. 9 - Given the following network with activity times in...Ch. 9 - Given the following network with activity times in...Ch. 9 - A marketing firm is planning to conduct a survey...Ch. 9 - In one of the little-known battles of the Civil...Ch. 9 - A group of developers is building a new shopping...Ch. 9 - The management of a factory is going to erect a...Ch. 9 - Given the following network and probabilistic...Ch. 9 - The Farmers American Bank of Leesburg is planning...
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- Given the following network and activity time estimates, determine: The expected time and variance for each activity Complete the chart showing bout the EF and LFarrow_forwardA farm owner is going to erect a maintenance building with a connecting electrical generator and water tank. The activities, activity descriptions, and estimated durations are given in the following table: (Notice that the activities are defined not by node numbers but by activity descriptions. This alternative form of expressing activities and precedence relationships is often used in CPM/PERT.) Construct the network for this project, identify the critical path, and determine the project duration time.arrow_forward11-16 Jean Walker is making plans for spring break at the beaches in Florida. In applying techniques she learned in her quantitative methods class, she has identified the activities that are necessary to prepare for her trip. The following table lists the activities and the immediate predecessors. Draw the network for this project. 11-17 The following are the activity times for the project in Problem 11-16. Find the earliest, latest, and slack times for each activity. Then find the critical path. These problems go together and are deterministic times.arrow_forward
- The following CPM network has estimates of the normal time in weeks listed for the activities: A(7) B(4) Node A B C D E F G C(2) D(5) F(2) Early Early Start Finish E(4) 1. Identify the critical path and show your answer. Please compute the early start, early finish, late start, late finish time for each node (activities) and Write your answer in the following table. (You may type your answer in a table in MS Word and then paste in the answer box below. Late Start Late Finish G (6) 2. What is the length of time to complete the project? 3. Which activities have slack, and how much?arrow_forwardThe table below show a set of activities of an IS project,its expected completion time (ET) and preceding activities. Activity Preceding Activity Expected Time (ET) A - 7 B A 9 C A,B 5 D C 17 E C 12 F C 7 G D,E,F 10 H D,G 7 Draw a network diagram for the IS project shown above.,and calculate its earliest completion time (TE), latest completion time (TL) and slack time (ST). If the activity E took 16weeks instead of 12weeks to complete ,what impact will it have on the project duration?arrow_forwardPatel and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows. Min s.t. Ellis Jackson Smith Project Leader Client 1 Jackson Client 2 Client 3 Ellis Smith (a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Formulate the problem as a linear program. (Express your answers in the form X;; where X;; is 1 if leader i is assigned to client j and 0 otherwise.) Xij ≥ 0 for all i, j. Solve. Relationship X11 X12 X13 X21 X22 X23 X31 1 X32 2 X33 3 Client 10 16 32 14 22 40 22 24 34 Value Time (days) (c) What is the total time required (in days)? daysarrow_forward
- A group of developers is building a new shopping center. A consultant for the developers has constructed the following project network and assigned activity times, in weeks. Determine the earliest and latest activity times, activity slack, critical path, and duration for the project.arrow_forwardThe project duration in a network model can be determined by the largest value of which variable associated with the critical path?arrow_forwardA project consists of eight activities. The activity completion times and the precedence relationships are as follows: Activity Completion Immediate predecessor activities time (weeks) A 50 70 C 60 D 30 A E 40 B,C F 20 G 60 A.D E,F H 50 I G,H Draw the project network diagram using the Activity-On-Node (AON) method for this project and calculate the Early Start (ES), Early Finish (EF), Late Start (LS), Late Finish (LF) and Slack (SL) for each activity.arrow_forward
- Problem 1 Solve the scheduling data for the following project and compute the relevant information; include the information on your network; (Draw the network and implement the Critical Path Method (CPM); Precedence diagramming to determine the critical path (CP) and all of the relevant information for the project). Feel free to use any of these two node designs (Use ES for the first activity = 0) Highlight the overall duration of the project with the critical path ES Activities EF Activity ES Duration LS Cr. Duration TF EF FF TE LF LS FF LF Activities' label Duration Predecessors A 3 A FF B FF/2 В 2 C 3 D C E 2 B/1 F 3 Е, D Continue into the next page for problem 2 →arrow_forwardConstruct a Gantt chart and project network for the following set of activities, compute the length of each path in the network, and indicate the critical path:arrow_forwardThe Industrial and Systems Engineering Department at Sun University is moving from its old building to a new building. The move must be completed within the 14-day period between semesters. A list of tasks (activities) has been prepared. The activities and precedence requirements are presented in the table below. Three time estimates (in days) are given for each activity: optimistic time, most likely time, and pessimistic time. (a) Perform a forward pass and backward pass through the network to determine the critical path, and the expected duration of the project (b) What completion time should the department specify in its proposal in order to be 85% sure that it will complete the project on time? Activity Activity description Immediate predecessor Optimistic time (days) Most likely time (days) Pessimistic time (days) 1 Initiate move - 0 0 0 2 Prepare new building space 1 2 4 6 3 Pack faculty files and books 1 3 4 5 4…arrow_forward
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