Network Diagram Pman635 Session 9 Ia 9

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Statistics

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University of Maryland Global Campus

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PMAN 635

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PMAN635 Spring 2020

PMAN635 Session 9 IA-9

Name:

Problem: Given the information provided below (predecessors, normal time, normal cost, crash

time (the minimum duration) and crash cost (the cost if crashed to the minimum duration) for a

nine-activity (a to i) project) answer the questions (a) through (e) using this template.

Activity

Predecessor

Normal

Time

Normal

Cost

Crash

Time

Crash Cost

$ 50

$ 150

$ 40

$ 200

$ 70

$ 160

c, f

$ 20

$ 50

$ 30

$ 100

$ 80

$ 290

d, e

$ 50

$ 100

$ 60

$ 180

g, h

$ 50

(a). Create the network diagram in the application of your choice and then insert a screenshot of

the diagram here. The diagram can be created easily in MS Word using the Insert Shapes

function. Alternatively, you can post an excel file with the network diagram rather than post it in

the space below.

Identify the critical path or critical paths (remember, there may be more than one) of the

network, the time, and cost of the normal level of activity for the project:

• The critical path (or paths) is: a–b–f–d–g–i and a-b-c-d-g-i, and a–b–c–e–g–i

15 18

0 e

8 15 15 3 18

0 c

0 4 4 8 8 7 15 18 23

0 a 0 b 0 g

0 4 4 4 4 8 16 18 18 4 23

0 d

16 2 18 23 26

0 i

8 16 23 3 26

0 f 16 22

8 8 16 1 h

17 6 23

PMAN635 Spring 2020

• The project duration:_4 days + 4 days + 7 days + 3 days + 5 days + 3 days = 26 days

• The project cost is: _$ 50 + $ 40 + $ 70 +$ 20 + $ 30 + $ 80 +$ 50 +$ 60 + $ 50 = $ 450_

(b). Calculate the crash cost-per-day. Enter your response to question 1(b) in the table provided

below

Activity

Normal Time

Normal Cost

Crash Time

Crash Cost

Crash Cost/Day

$ 50

$ 150

150−50

4−2

= $ 50

$ 40

$ 200

200−40

4−2

= $ 80

$ 70

$ 160

160−70

7−4

= $ 30

$ 20

$ 50

50−20

2−1

= $ 30

$ 30

$ 100

100−30

3−2

= $ 70

$ 80

$ 290

290−80

8−5

= $ 70

$ 50

$ 100

100−50

5−3

= $ 25

$ 60

$ 180

180−60

6−2

= $ 30

$ 50

(c). Find the optimal way to crash the project by one day.

• What is the projected project cost? = $ 450 + $ 25 = $ 475

• What is the projected project duration? = 26 days – 1 day = 25 days

• What is the critical path (or paths)? = a–b–f–d–g–i, and a–b–c–e–g–i, and a-b-c-d-g-i

• What task or tasks were crashed? Task g was crashed.

Explain the results of your calculations.

All the paths after crashing task g by one day are critical. Crashing task g reduces it to 24 days at

a cost of $475. Activity g has the best optimal way to crash the project and only costs $25.

(d). Find the optimal way to crash the project by two days.

• What is the projected project cost? = $ 475 + $ 25 = $ 500

• What is the projected project duration? = 26 days – 1 day – 1 day = 24 days

• What is the critical path (or paths)? a–b–f–d–g–i and a–b–c–e–g-i

• What task or tasks were crashed? Task g was crashed by two days.

Explain the results of your calculations.

It is possible to crash both task g and task a by one day each concurrently. Task g,

however, has the least crash cost per day (25). The rest of the activities will cost the company a

lot of money to crush them.

Assume that each task’s crash costs are linear, i.e., that each day a task is crashed has an equal cost.

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PMAN635 Spring 2020 PMAN635 Session 9 IA-9 Name: Problem: Given the information provided below (predecessors, normal time, normal cost, crash time (the minimum duration) and crash cost (the cost if crashed to the minimum duration) for a nine-activity (a to i) project) answer the questions (a) through (e) using this template. Activity Predecessor Normal Time a b c d e f g h i A B c, f C B d, e F g, h 4 4 7 2 3 8 5 6 3 Normal Cost $ $ $ $ $ $ $ $ $ 50 40 70 20 30 80 50 60 50 Crash Time Crash Cost 2 2 4 1 2 5 3 2 3 $ $ $ $ $ $ $ $ $ 150 200 160 50 100 290 100 180 50 (a). Create the network diagram in the application of your choice and then insert a screenshot of the diagram here. The diagram can be created easily in MS Word using the Insert Shapes function. Alternatively, you can post an excel file with the network diagram rather than post it in the space below. 0 4 0 a 0 4 4 ...
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Tags: business and finance project management business management management strategies Normal Cost