A manufacturing company intends to develop an application software for automating its design process. The task details associated to the project are shown in Table 1 below. The duration of each task follows a Beta distribution. Project crashing up to a maximum of 2 days per task is allowed, with the exception of tasks B and J, subject to the crash costs being met. Time (days) |Optimistic Most Pessimistic likely Task Task Details Preceding Task Crash Cost per day ($) High-level analysis. Selection of hardware platform. Installation and commissioning of hardware. Detailed analysis of core 2 Nil 700 B 1500 1500 10 12 D modules. 10 13 1500 Detailed analysis of supporting modules. Programming of core modules. Programming of supporting modules. H. E 10 12 1000 800 10 15 D 10 15 20 E 800 Quality assurance of core modules. 2 1000 Quality assurance (QA) of supporting modules. Core module training. Development and QA of accounting reporting. Development and QA of management reporting. M 2. G 1500 C,H 1500 E 1000 3 8. E 1000 Development of Management Information System. Detailed training. 500 3 8. 3 LJ,K, M 1200 (a) What is the probability of the project to complete in 52 days? What strategy can be used to improve the probability of completion? (b) Assuming that the manufacturing company wishes the project to be completed 5 days earlier than the minimum duration, what will be the additional cost involved? 6.
A manufacturing company intends to develop an application software for automating its design process. The task details associated to the project are shown in Table 1 below. The duration of each task follows a Beta distribution. Project crashing up to a maximum of 2 days per task is allowed, with the exception of tasks B and J, subject to the crash costs being met. Time (days) |Optimistic Most Pessimistic likely Task Task Details Preceding Task Crash Cost per day ($) High-level analysis. Selection of hardware platform. Installation and commissioning of hardware. Detailed analysis of core 2 Nil 700 B 1500 1500 10 12 D modules. 10 13 1500 Detailed analysis of supporting modules. Programming of core modules. Programming of supporting modules. H. E 10 12 1000 800 10 15 D 10 15 20 E 800 Quality assurance of core modules. 2 1000 Quality assurance (QA) of supporting modules. Core module training. Development and QA of accounting reporting. Development and QA of management reporting. M 2. G 1500 C,H 1500 E 1000 3 8. E 1000 Development of Management Information System. Detailed training. 500 3 8. 3 LJ,K, M 1200 (a) What is the probability of the project to complete in 52 days? What strategy can be used to improve the probability of completion? (b) Assuming that the manufacturing company wishes the project to be completed 5 days earlier than the minimum duration, what will be the additional cost involved? 6.
Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Transcribed Image Text:A manufacturing company intends to develop an application software for automating
its design process. The task details associated to the project are shown in Table 1 below.
The duration of each task follows a Beta distribution. Project crashing up to a maximum
of 2 days per task is allowed, with the exception of tasks B and J, subject to the crash
costs being met.
Task Task Details
Time (days)
Optimistic Most
likely
Preceding
Task
Crash
Pessimistic
Cost
per
day ($)
A
High-level analysis.
7.
Nil
700
B.
Selection of hardware
platform.
2
1500
C.
Installation and
commissioning of
hardware.
Detailed analysis of core
modules.
1500
10
12
10
13
A
1500
Detailed analysis of
supporting modules.
Programming of core
modules.
E
6.
10
12
1000
F
800
10
15
D
Programming of supporting
modules.
Quality assurance of core
modules.
10
15
20
E
800
7
1000
Quality assurance (QA) of
supporting modules.
Core module training.
Development and QA of
accounting reporting.
L.
8
1500
1
2
C,H
1500
K
2
E
1000
Development and QA of
management reporting.
Development of
Management Information
System.
N Detailed training.
3
8
E
1000
M
500
3
8
L
L J, K, M
1200
3
8.
(a)
What is the probability of the project to complete in 52 days? What strategy can
be used to improve the probability of completion?
(b)
Assuming that the manufacturing company wishes the project to be completed 5
days earlier than the minimum duration, what will be the additional cost
involved?
6.
2.
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