Question

In: Operations Management

A construction project is broken down into the following 10 activities: Activity Immediate Pred Weeks A...

A construction project is broken down into the following 10 activities:

Activity

Immediate Pred

Weeks

A

-

6

B

A

3

C

A

4

D

A

2

E

B, C

4

F

C

3

G

D

7

H

E

3

I

F, G

5

J

H, I

7

  1. Please draw the network.
  2. What is the critical path?
  3. How many weeks will it take to complete the project?
  4. How much slack does each of the activities have?

QUESTION A: PLEASE DRAW THE SKETCH

QUESTIONS B,C,D: USE AN EXCEL FILE

Solutions

Expert Solution

ACTIVITY

DURATION

ES

EF

LS

LF

SLACK

CRITICAL

A

6

0

6

0

6

0

YES

B

3

6

9

10

13

4

C

4

6

10

8

12

2

D

2

6

8

6

8

0

YES

E

4

10

14

13

17

3

F

3

10

13

12

15

2

G

7

8

15

8

15

0

YES

H

3

14

17

17

20

3

I

5

15

20

15

20

0

YES

J

7

20

27

20

27

0

YES


FORWARD PASS

We calculate the ES and EF values using a forward pass where the ES of an activity is the maximum EF of all the predecessor activities.

BACKWARD PASS

We calculate the LS and LF values using a backward pass where the LF of the activity is the minimum of all the successor activities.

SLACK

Slack is the value which is determined by subtracting EF from the LF or ES from the LS.

CRITICAL PATH

Critical path is the chain in the project network where the slack value of all the activities is 0, what this means is that any delay in these activities would result in delaying the entire project.

CRITICAL PATH = ADGIJ

DURATION OF PROJECT = 27



Related Solutions

The following table represents a project with four activities. All times are in weeks. Activity Immediate...
The following table represents a project with four activities. All times are in weeks. Activity Immediate Predecessor Optimistic Time Most Likely Time Pessimistic Time A - 4 8 16 B - 7 8 9 C A 6 10 18 D B 5 13 18 A. According to the data in the table. What is the critical path? B. According to the data in the table, what is the minimum expected completion time for the project? C. According to the table...
A project has the following activities, precedence relationships, and time estimates in weeks: ​ Activity Immediate...
A project has the following activities, precedence relationships, and time estimates in weeks: ​ Activity Immediate Predecessor Activities Optimistic Time (to) Most Likely Time (tm) Pessimistic Time (tp) A — 15 20 25 B — 8 10 12 C A 25 30 40 D B 15 15 15 E B 22 25 27 F E 15 20 22 G D 20 20 22 ​ a.   Compute the expected time and variance for each activity. b.   Determine the critical path and the expected...
A project consisting of six activities has the following precedence constraints. Activity Time (weeks) Immediate Predecessors...
A project consisting of six activities has the following precedence constraints. Activity Time (weeks) Immediate Predecessors A 3 B 3 A C 4 A D 5 A E 6 C, D F 2 B, E Draw the AOA (activities on the arrows) network diagram for this project
The following activities are part of a project to be scheduled using CPM: ACTIVITY IMMEDIATE PREDECESSOR...
The following activities are part of a project to be scheduled using CPM: ACTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS) A — 7 B A 6 C A 2 D C 4 E B, D 3 F D 4 G E F 6 a. Draw the network (20 points) b. What is the critical path? c. How many weeks will it take to complete the project ? d. Identify the early start, early finish, late start, and late finish for each activity...
The following activities are part of a project to be scheduled using CPM: Activity Immediate Pred...
The following activities are part of a project to be scheduled using CPM: Activity Immediate Pred Weeks A - 6 B A 3 C A 7 D B, C 2 E C 4 F D 3 G E, F 7 Please draw the network. What is the critical path? How many weeks will it take to complete the project? How much slack does each of the activities have? Question A: Drawing the network Questions B,C,D use an excel file
Given a simple project illustrated in the following table Activity Immediate Predecessors Time (weeks) 1 -...
Given a simple project illustrated in the following table Activity Immediate Predecessors Time (weeks) 1 - 2 2 - 3 3 1, 2 2 4 3 5 5 3 4 The required project completion time is 12. Assume that "Activity 1" actually finished at 3 weeks, and "Activity 2" actually finished at 2 weeks. Given the actual project progress, what is the LF (lastest time) of "Activity 4"?
Suppose there are 8 activities in your project with the following information. Activity Immediate Predecessor Processing...
Suppose there are 8 activities in your project with the following information. Activity Immediate Predecessor Processing Time (days) Processing Cost ($ per day) A B 5 20 B - 4 40 C A,B 6 30 D A 7 10 E C,D 6 25 F C 5 40 G E,F 4 25 H F 3 50 What is the total project lead time? a.) 40 b.)26 c.) 23 What activity is not part of the critical path? a.) activity E b.)...
From Q1: Suppose there are 8 activities in your project with the following information. Activity Immediate...
From Q1: Suppose there are 8 activities in your project with the following information. Activity Immediate Predecessor Processing Time (days) Processing Cost ($ per day) A B 5 20 B - 4 40 C A,B 6 30 D A 7 10 E C,D 6 25 F C 5 40 G E,F 4 25 H F 3 50 Base on the information of the project in question 1, you monitor the status of the project at the end of day 18...
19. Consider a project consisting of five activities. The immediate predecessors and the activity times are...
19. Consider a project consisting of five activities. The immediate predecessors and the activity times are summarized as below: Activity Immediate Predecessor Activity time (in days) A None 3 B A 2 C A 1 D B, C 3 E D 4 In CPM, what is the completion time of the project? A 12 days B 11 days C 13 days 20. A forecasting method has produced the following over the past five months. What is the mean absolute deviation...
Question 2: Consider the following activities and their durations and requirements for a construction project. Activity...
Question 2: Consider the following activities and their durations and requirements for a construction project. Activity Predecessors Activity Duration (days) Optimistic Most likely Pessimistic A - 2 7 9 B - 3 6 9 C - 3 5 8 D A 15 19 20 E B, C 6 9 10 F C 2 4 6 G A, E 4 8 13 H G 1 2 4 Part a) Draw the project network and determine the critical path in the project...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT