Question
In: Statistics and Probability
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 duration of the project.
c. What is the probability that the project will take longer than 56 weeks to complete?
Solutions
orchestra answered 1 year agoRelated Solutions
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
Activity Optimistic Time Estimate (weeks) Most Likely Time Estimates (weeks) Pessimistic Time Estimates (weeks) Immediate Predecessor(s)...
Activity
Optimistic Time Estimate
(weeks)
Most Likely Time Estimates (weeks)
Pessimistic Time Estimates (weeks)
Immediate Predecessor(s)
A
3
6
9
none
B
3
5
7
A
C
4
7
12
A
D
4
8
10
B
E
5
10
16
C
F
3
4
5
D, E
G
3
6
8
D, E
H
5
6
10
F
I
5
8
11
G
J
3
3
3
H, I
A.)Using the information given, construct a network diagram
using AON notation....
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 for improving a billing process has the following precedence relationships and activity times: Using...
A project for improving a billing process has the following
precedence relationships and activity times: Using the info below
calculate the slack for each activity. Which activities are on the
critical
path?
Activity
Activity Time (weeks)
Immediate Predecessor(s)
A
5
----
B
10
-----
C
6
A
D
14
B, C
E
9
B
F
5
D
G
3
E
H
6
F, G
Problem #4 PERT Analysis: Consider the project with the following estimates for activity times and precedence...
Problem #4
PERT Analysis: Consider the project with the
following estimates for activity times and precedence relationships
(be sure to use the triple time estimate). All times are in
days:
Activity
Optimistic
Time
Most
Likely Time
Pessimistic
Time
Immediate
Predecessor(s)
A
3
4
6
---
B
5
7
10
---
C
2
3
11
A
D
2
5
8
B
E
1
7
7
B
F
3
5
7
C, D
G
7
8
9
D, E
H
2
6...
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...
13.7 Table EX 13.7 shows the precedence relationships among the activities to complete a project. Table...
13.7 Table EX 13.7 shows the precedence
relationships among the activities to complete a project.
Table EX 13.7
Activity
Predecessor
Duration (Weeks)
A
–
6
B
–
2
C
A
4
D
B
5
E
B
2
F
C, D
4
G
C, D
7
H
E, G
5
I
F
4
Construct an activity on node network for the project.
Identify the paths and path project durations.
Determine the critical path and the expected project completion
time.
Find the...
Consider the following precedence chart: ACTIVITY PRECEDING ACTIVITIES OPTIMISTIC TIME (days) MOST LIKELY TIME (days) PESSIMISTIC...
Consider the following precedence chart:
ACTIVITY
PRECEDING ACTIVITIES
OPTIMISTIC TIME (days)
MOST LIKELY TIME (days)
PESSIMISTIC TIME (days)
A
-
5
10
15
B
-
10
12
14
C
-
10
10
10
D
B,C
2
4
6
E
A
4
8
12
F
A
4
8
12
G
D,E
10
12
14
I
F
4
8
12
J
G
2
4
6
The total slack for activity C is __________
Consider the following precedence chart: ACTIVITY PRECEDING ACTIVITIES OPTIMISTIC TIME (days) MOST LIKELY TIME (days) PESSIMISTIC...
Consider the following precedence chart:
ACTIVITY
PRECEDING ACTIVITIES
OPTIMISTIC TIME (days)
MOST LIKELY TIME (days)
PESSIMISTIC TIME (days)
A
-
5
10
15
B
-
10
12
14
C
-
10
10
10
D
B,C
2
4
6
E
A
4
8
12
F
A
4
8
12
G
D,E
10
12
14
I
F
4
8
12
J
G
2
4
6
The total slack for activity C is __________
a.
0
b.
2
c.
8
d.
4
Consider the following precedence chart: ACTIVITY PRECEDING ACTIVITIES OPTIMISTIC TIME (days) MOST LIKELY TIME (days) PESSIMISTIC...
Consider the following precedence chart:
ACTIVITY
PRECEDING ACTIVITIES
OPTIMISTIC TIME (days)
MOST LIKELY TIME (days)
PESSIMISTIC TIME (days)
A
-
5
10
15
B
-
10
12
14
C
-
10
10
10
D
B,C
2
4
6
E
A
4
8
12
F
A
4
8
12
G
D,E
10
12
14
I
F
4
8
12
J
G
2
4
6
The total slack for activity F is __________
a.
8
b.
4
c.
2
d.
0
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