Practical Operations Management
2nd Edition
ISBN: 9781939297136
Author: Simpson
Publisher: HERCHER PUBLISHING,INCORPORATED
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Chapter 7, Problem 3DQ
Summary Introduction
Interpretation:
Concepts of critical path activity and noncritical path activity.
Concept Introduction:
The critical path can be defined as the series of activities that are taken into consideration from start to end and makes sure for timely delivery. It helps in finding or knowing the shortest route to complete the process or project.
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Students have asked these similar questions
Shrink the occurrence time of the following project and find:
a) The critical path and the expected project completion time.
b) Find the optimal duration and optimal cost.
Normal
Crash
Activities
Time
Cost
Time
Cost
1-2
100
1-3
150
2-4
50
2-5
100
3-4
100
4-5
80.
843324
722213
200
230
90
150
200
100
Example: Undertaking by a contractor to
implement a contracting for excavation
works according to the scheme below,
undertaking to complete the work within a
period of 36 weeks with a probability of
99% between in light of the contractor's
probability. The actual time period for the
completion of the project within the PERT
technology?
Act.
a
b
te
u
C.P
1-2
7
8.
6.33
1
1
*1,2
2-3
6.
9
6.33
0.66
0.443
*2
2-4
3
7
8.
6.5
0.83
.693
*1
2-5
4
6.
0.33
3-6
9.
10
8.66
0.66
0.443
*2
4-7
6.
8
11
8.166
0.83
.693
*1
5-7
4
7
5.83
0.5
6-8
7
10
7.16
0.83
.693
*2
7-8
4
8
7.5
0.83
.693
*1
8-9
4
7
9
6.83
0.83
.693
*1,2
Activities, preceding activities, normal and crashed completion times of each of the activities and
crashed costs of activities per week of a project are given in the following table.
Activity Preceding
Activity
Normal
Crashed Completion
time (week)
Crashed Cost
Completion Time
(week)
7
per week
A
7
B
$500
C
4
3
$700
$600
A
A, C
В, D
D, E
D
7
E
F
10
9.
$800
9
8
$400
i.
Draw the network diagram linking all the activities in a way that it shows if there exist any
preceding activity/activities before starting each of the mentioned activities in the above
table.
ii.
Find the earliest start time, the earliest finish time, the latest start time and the latest finish
time of each of the activities in the drawn diagram of the project and hence the completion
time of the project and the critical path.
Chapter 7 Solutions
Practical Operations Management
Ch. 7 - Prob. 1DQCh. 7 - Prob. 2DQCh. 7 - Prob. 3DQCh. 7 - Prob. 4DQCh. 7 - Prob. 5DQCh. 7 - Prob. 6DQCh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4P
Ch. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10PCh. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 1.1QCh. 7 - Prob. 1.2QCh. 7 - Prob. 1.3QCh. 7 - Prob. 1.4QCh. 7 - Prob. 2.1QCh. 7 - Prob. 2.2QCh. 7 - Prob. 2.3Q
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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
- EX6-6 (Algo) From the following information, develop... From the following information, develop an AON project network. Complete the forward and backward pass, compute activity slack, and identify the critical path. How many days will the project take? ID A Survey site B Description C Excavate site Install power lines. D Install drainage E Pour foundation The project will take The critical path is The late start on Activity C is The slack on Activity C is The slack on Activity D is The early start on Activity E is Predecessor None A B B C, D. Time 4 5 4 3 days. days. days. days, days.arrow_forwardDevelopment of Version 2.0 of a particular accounting software product is being considered by Jose Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following table: Activity Normal Time(weeks) Crash Time(weeks) Normal Cost Total Cost with Crashing Immediate Predecessor(s) A 4 3 $2,000 $2,650 — B 2 1 $2,100 $2,900 — C 3 3 $750 $750 — D 8 4 $2,300 $2,620 A E 6 3 $900 $1,275 B F 3 2 $3,200 $4,700 C G 4 2 $1,400 $1,900 D, E I have answers for the frist part of the question: a) Based on the given information regarding the activities for the project, the project length = 16 weeks. b) The total cost required for completing this project on normal time = $12,650. c) For reducing the duration of the project by one week, the activity that should be crashed first is activity…arrow_forwardDevelopment of Version 2.0 of a particular accounting software product is being considered by Jose Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following table: Activity Normal Time(weeks) Crash Time(weeks) Normal Cost Total Cost with Crashing Immediate Predecessor(s) A 4 3 $2,000 $2,650 — B 2 1 $2,100 $2,900 — C 3 3 $750 $750 — D 8 4 $2,300 $2,620 A E 6 3 $900 $1,275 B F 3 2 $3,200 $4,700 C G 4 2 $1,400 $1,900 D, E a) Based on the given information regarding the activities for the project, the project length = 16 weeks. b) The total cost required for completing this project on normal time = $12,650. c) For reducing the duration of the project by one…arrow_forward
- A project consist of 5 activities A,B,C,D,E with ES, EF, LS and LF of A (0, 6, 9, 15); B (0, 7, 0, 7); C (6, 13, 15, 22); D (7, 13, 7, 13); E (13, 22, 13, 22). Normal Time (in month), Crash time (in month), Normal cost (in million Rp), Crash cost (in million Rp) from each activity are A (6, 4, 20, 24); B (7, 5, 30, 35); C (7, 6, 10, 13); D (6, 4, 20, 26); E (9, 8, 88, 90) a. What activities are in the critical path? How long is the project duration? b. If we want to crash the project for 2 months, what activities need to be crashed? How much additional cost required?arrow_forwardDevelopment of Version 2.0 of a particular accounting software product is being considered by Jose Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following table: Activity Normal Time (weeks) Crash Time (weeks) Normal Cost Total Cost with Crashing Immediate Predecessor(s) A 4 3 $2,100 $2,800 — B 2 1 $2,300 $3,100 — C 3 3 $600 $600 — D 8 4 $2,400 $2,680 A E 6 3 $1,000 $1,450 B F 3 2 $3,200 $4,600 C G 4 2 $1,400 $2,000 D, E Part 2 a) Based on the given information regarding the activities for the project, the project length = enter your response here weeks.arrow_forwardCrashed Completion time (week) Crashed Cost per Preceding Activity Normal Completion Time (week) Activity week A 7 5 $600 $700 $400 $800 12 10 A 8 2 D 9 7 E C, D 5 4 $300 F E 9 8 $500 G D, F 10 10 Find the minimum possible completion time of the project by considering the crashed completion times and the minimal total cost of that crashing the project. Highlight the critical and non-critical activities of the finally completed project by taking into account the crashed times of activities.arrow_forward
- The following table shows the normal and crash costs and completion times (in weeks) for each activity in a project network. Normal Crash Normal Crash Immediate Activity Time Time Cost Cost Predecessor 7. 1800 3200 6. 2500 2700 4. 2000 2200 13 6. 2300 3700 1000 1800 3. 寸 4.arrow_forwardConsider a project for which the following activities and time estimates in weeks apply activity To tm tp 1-2 3 5 8 1-3 2 3 5 1-5 2 3 4 2-3 1 2 5 2-6 7 8 9 3-4 1 3 6 3-5 2 4 6 4-5 1 2 4 5-6 1 2 3 Draw the project network Compute the expected time and variance for each activity iii. Compute slack for each event and find the critical path Find the length of the critical path and the project duration Approximate the probability that activity 3 – 4 will have positive slack. What is the managerial implication of that probability?arrow_forwardConsider the project described in the table below: Activity Duration A B C D E F G H 9 4 8 8 5 7 4 6 OEST-9 and LCT = 15 OEST=9 and LCT = 13 Immediate Predecessor What is the earliest start time (EST) and latest completion time (LCT) of activity B? OEST=9 and LCT = 20 OEST-9 and LCT-17 - A A A B B,C C,D E,F,Garrow_forward
- Three critical path activities from the same critical path are candidates for crashing on a CPM network. What is the crash cost per unit time for activity A? What is the crash cost per unit time for activity B? Which activity should be crashed first to cut one day from the project's duration; how much is added to project cost? Assuming no other paths become critical, which activity should be the next activity crashed to cut a second day from the project's duration; how much is added to project cost? Assuming no other paths become critical, how much can this project be shortened at what total added cost?arrow_forwardThree activities are candidates for crashing on a project network for a large computer installation (all are, of course, critical). Activity details are in the following table: Activity A B с Normal Time Crash Time Normal Cost (days) 7 4 11 (days) 6 2 9 $5,000 $1,400 $4,000 Total Cost with Immediate Crashing Predecessor(s) $5,600 $3,300 $6,400 a) Activity that should be crashed first to reduce the project duration by 1 day is A Barrow_forwardPERT-CPMYu and Mi Company is planning to computerize its accounting system. Its IT consultant has determined thefollowing activities required to complete this project together with the time estimates and precedence relationships. a. Determine the expected project completion time and the variance.b. What is the project’s critical path?c. Determine the probability that the project will be completed in 40 weeks or less.arrow_forward
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