Deck 8: Advanced Project Network Analysis and Scheduling

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Question
To reduce the duration of a project using CPM, it is necessary to make a reduction on the activity with:

A) the largest cost slope on the critical path (CP)
B) the smallest cost slope on the CP
C) the largest cost slope not on the CP
D) the smallest cost slope not on the CP
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Question
When there are multiple critical paths and the project duration must be reduced, it is necessary to make reductions:

A) on whichever critical path affords the smallest cost increase
B) on whichever non-critical path affords the smallest cost increase
C) that will shorten all of the critical paths
D) that will shorten all of the non-critical paths
Question
To find the shortest possible project duration for the least cost:

A) crash all activities on the critical path (CP), then relax all non-CP activities
B) crash all activities not on the CP, then relax all critical activities
C) crash all activities in the project, then relax those not on the CP
D) crash all activities in the project, then relax those on the critical path
Question
Which statement is correct: In the CPM, as the duration of a project is decreased, usually:

A) so are both its direct and indirect costs
B) direct costs increase, but indirect costs decrease
C) both direct and indirect costs increase
D) direct costs decrease, indirect costs increase
Question
If a = 3, m = 5, and b = 6, then:

A) te = 4.667 and V = 1.5
B) te = 4.833 and V = 0.5
C) neither
Question
If the project completion has a distribution with Te = 15 weeks and Vp = 9, what is the probability that the project will be completed in less than 18 weeks? To answer this, the correct z value is:

A) 0.333
B) 1
C) -1
D) none of these
Question
Which statement is correct. The critical chain method:

A) helps planners to estimate the duration of activities more accurately.
B) stresses that, in order to finish the project on the project deadline (due date), all critical activities must be finished by their individual deadlines (due dates).
C) forces a person working on an activity to commit to when he/she will finish the work.
D) ensures that sufficient contingency reserve is built into the schedule of each individual activity.
E) None of the above is correct.
Question
Which statement is incorrect:

A) Unlike the critical path, the critical chain ensures stability on the project.
B) The critical chain is likely to reduce project duration.
C) The critical chain is, in general, longer than the critical path.
D) The critical chain results in a high probability of finishing the project on the promised date.
E) Unlike the critical path, the critical chain ensures that a resource is scheduled to do only one activity at any specific time.
Question
A project cannot have more than one ___________buffer.

A) Milestone
B) Feeding
C) Project
D) Resource
Question
Contingencies should be built in at the following level:

A) Program
B) Sub-program
C) Project
D) Sub-project
E) Activity
Question
The following type of buffer does not add time to a schedule:

A) Milestone
B) Feeding
C) Project
D) Resource
E) None of the above
Question
The following buffer enables the project manager to focus on critical activities by ensuring that the critical chain does not change during project execution:

A) Milestone
B) Feeding
C) Project
D) Resource
E) The combination of (b) and (d) above
Question
Resource buffers are always placed:

A) on the critical chain only
B) on both critical and on non-critical paths
C) where non-critical paths merge into the critical chain
D) at the end of the critical chain
E) at places where a "count down" to the start of a non-critical activity is needed.
Question
An approach to accelerate a project by simply eliminating discretionary dependencies is called:

A) Crashing
B) Concurrent engineering
C) Critical chain scheduling
D) Fast tracking
E) PERT/CPM
Question
GERT (circle all that are true):

A) utilizes branching nodes
B) like PERT, cannot repeat activities
C) unlike PERT/CPM, allows for multiple possible outcomes in a project
D) like CPM, activity duration estimates are restricted to a single, deterministic estimate
Question
Statement: PERT requires three time estimates for every activity.
Question
Statement: Given the assumptions of PERT, it is possible to determine the probability that a project will be completed by a specified date.
Question
Statement: In PERT, the mean (expected) time for each activity is determined by using a formula that gives the greatest weight to the "optimistic" time estimate.
Question
Statement: Although the times used in PERT are "estimates," the resulting probabilities are highly credible, especially in cases where little or no previous experience exists.
Question
Statement: In the critical path method (CPM), the direct cost of an activity is assumed to be proportional to its time, so shortening it to its "crash" time reduces its cost.
Question
Statement: The cost slope is the marginal tradeoff between the cost and time of doing a given activity.
Question
Statement: Indirect costs include administrative, overhead, and any penalty costs.
Question
Statement: A "resource loading" chart shows the amount of a given resource required in a project over a specified period of time.
Question
Statement: In resource loading, the project schedule is altered in an attempt to increase variations in the amount of the resource needed throughout the project.
Question
Statement: It is relatively easy to level many resources in a project at the same time.
Question
Use the following network diagram and table to answer parts (a) through (d).
 Use the following network diagram and table to answer parts (a) through (d).    \begin{array} { c | r r | c c } \text {  } & \text { Normal } && \text { Crash }\\ \text { Activity } & \text { Time } & \text { Cost } & \text { Time } & \text { Cost } \\ \hline \text { A } & 6 & 100 & 3 & 400 \\ \text { B } & 8 & 200 & 8 & 200 \\ \text { C } & 4 & 200 & 2 & 800 \\ \text { D } & 10 & 1000 & 5 & 4000 \\ \text { E } & 8 & 200 & 4 & 1000 \\ \text { F } & 10 & 1500 & 6 & 4500 \\ \text { G } & 8 & 800 & 5 & 1000 \\ \hline \end{array}  (a) Under normal conditions: what is the earliest the project can be completed; what is the critical path; what is the cost? (b) Suppose you wanted to complete the project one week earlier than under normal conditions. What activity(ies) would you have to speed up. How much would it add to the cost of the project? (c) Under crash conditions: what is the earliest the project can be completed; what is the minimum it will cost to complete it in this time. (d) The costs in part (a) through (d) are direct costs. Suppose overhead costs are determined by the formula C = 4000 + 2000t, where t is the project duration in weeks. Using this formula, what are the total project costs (direct plus indirect) for the project durations you got in parts (a) and (d)? Based on a cost comparison, should the project be completed under normal conditions, crash conditions, or somewhere in between?<div style=padding-top: 35px>
  Normal  Crash  Activity  Time  Cost  Time  Cost  A 61003400 B 82008200 C 42002800 D 10100054000 E 820041000 F 10150064500 G 880051000\begin{array} { c | r r | c c } \text { } & \text { Normal } && \text { Crash }\\\text { Activity } & \text { Time } & \text { Cost } & \text { Time } & \text { Cost } \\\hline \text { A } & 6 & 100 & 3 & 400 \\\text { B } & 8 & 200 & 8 & 200 \\\text { C } & 4 & 200 & 2 & 800 \\\text { D } & 10 & 1000 & 5 & 4000 \\\text { E } & 8 & 200 & 4 & 1000 \\\text { F } & 10 & 1500 & 6 & 4500 \\\text { G } & 8 & 800 & 5 & 1000 \\\hline\end{array}
(a) Under "normal" conditions: what is the earliest the project can be completed; what is the critical path; what is the cost?
(b) Suppose you wanted to complete the project one week earlier than under normal conditions. What activity(ies) would you have to speed up. How much would it add to the cost of the project?
(c) Under "crash" conditions: what is the earliest the project can be completed; what is the minimum it will cost to complete it in this time.
(d) The costs in part (a) through (d) are direct costs. Suppose overhead costs are determined by the formula C = 4000 + 2000t, where t is the project duration in weeks. Using this formula, what are the total project costs (direct plus indirect) for the project durations you got in parts (a) and (d)? Based on a cost comparison, should the project be completed under normal conditions, crash conditions, or somewhere in between?
Question
The Following Questions adapted from tutorial material of H Steyn Ed., Project Management -A Multi-disciplinary Approach (Pretoria: FPM Publishing, 2003). Reprinted with permission.
-Consider the schedule below:
RB = Resource Buffer
FB = Feeding Buffer
PB = Project Buffer
The letters A, B, C, D and E represent the resources needed to do the indicated activities.
The Following Questions adapted from tutorial material of H Steyn Ed., Project Management -A Multi-disciplinary Approach (Pretoria: FPM Publishing, 2003). Reprinted with permission. -Consider the schedule below: RB = Resource Buffer FB = Feeding Buffer PB = Project Buffer The letters A, B, C, D and E represent the resources needed to do the indicated activities.   (a) Show the critical chain on the sketch above. (b) Why is there no resource buffer (RB) before the activity to be performed by A? (c) Why is there no resource buffer before the second task to be performed by resource B? (d) Would the 6-day duration shown for the activity to be performed by A be a pessimistic or a realistic value?<div style=padding-top: 35px>
(a) Show the critical chain on the sketch above.
(b) Why is there no resource buffer (RB) before the activity to be performed by A?
(c) Why is there no resource buffer before the second task to be performed by resource B?
(d) Would the 6-day duration shown for the activity to be performed by A be a pessimistic or a realistic value?
Question
The Following Questions adapted from tutorial material of H Steyn Ed., Project Management -A Multi-disciplinary Approach (Pretoria: FPM Publishing, 2003). Reprinted with permission.

-Put checks in the appropriate boxes in the table below.
 Project  buffer  Feeding  buffer  Resource  buffer  Drum  buffer  This buffer/ these buffers ensure(s) that, unlike  the critical path, the critical chain does not  change from time to time during project  execution.  This buffer/ these buffers ensure(s) that jobs  done faster than planned contribute to reduced  project duration.  Action is required when this/these buffer(s)  is/are say 67% depleted.  This/these buffer(s) contain a contingency  reserve that has been removed from activities.  If activities are done faster than planned, it  could cause that this/these buffer(s) could get  depleted (i.e. get smaller).  This/these buffer(s) is/are never used on a  single project. \begin{array} { | l | l | l | l | l | } \hline & \begin{array} { l } \text { Project } \\\text { buffer }\end{array} & \begin{array} { l } \text { Feeding } \\\text { buffer }\end{array} & \begin{array} { l } \text { Resource } \\\text { buffer }\end{array} & \begin{array} { l } \text { Drum } \\\text { buffer }\end{array} \\\hline \begin{array} { l } \text { This buffer/ these buffers ensure(s) that, unlike } \\\text { the critical path, the critical chain does not } \\\text { change from time to time during project } \\\text { execution. }\end{array} & & & & \\\hline \begin{array} { l } \text { This buffer/ these buffers ensure(s) that jobs } \\\text { done faster than planned contribute to reduced } \\\text { project duration. }\end{array} & & & & \\\hline \begin{array} { l } \text { Action is required when this/these buffer(s) } \\\text { is/are say 67\% depleted. }\end{array} & & & & \\\hline \begin{array} { l } \text { This/these buffer(s) contain a contingency } \\\text { reserve that has been removed from activities. }\end{array} & & & & \\\hline \begin{array} { l } \text { If activities are done faster than planned, it } \\\text { could cause that this/these buffer(s) could get } \\\text { depleted (i.e. get smaller). }\end{array} & & & & \\\hline \begin{array} { l } \text { This/these buffer(s) is/are never used on a } \\\text { single project. }\end{array} & & & & \\\hline\end{array}
Question
The Following Questions adapted from tutorial material of H Steyn Ed., Project Management -A Multi-disciplinary Approach (Pretoria: FPM Publishing, 2003). Reprinted with permission.

-Complete the following table: state how the five steps of constraints management relate to the management of a single project when the critical chain method is used.
 Constraints  management step  Application to management of a (single) project  1. Identify the constraint  2. Decide how to exploit  the constraint(s)  3. Subordinate everything  to the decision(s) in 2 above  4. Elevate the  constraint(s) (in other  words, take steps to  "widen the bottleneck")  5. Go back to Step 1. \begin{array} { | l | l | } \hline \begin{array} { l } \text { Constraints } \\\text { management step }\end{array} & \text { Application to management of a (single) project } \\\hline \text { 1. Identify the constraint } & \\\hline \begin{array} { l } \text { 2. Decide how to exploit } \\\text { the constraint(s) }\end{array} & \\\hline \begin{array} { l } \text { 3. Subordinate everything } \\\text { to the decision(s) in } 2 \\\text { above }\end{array} & \\\hline \begin{array} { l } \text { 4. Elevate the } \\\text { constraint(s) (in other } \\\text { words, take steps to } \\\text { "widen the bottleneck") }\end{array} & \\\hline \begin{array} { l } \text { 5. Go back to Step 1. }\end{array} \\\hline\end{array}
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Deck 8: Advanced Project Network Analysis and Scheduling
1
To reduce the duration of a project using CPM, it is necessary to make a reduction on the activity with:

A) the largest cost slope on the critical path (CP)
B) the smallest cost slope on the CP
C) the largest cost slope not on the CP
D) the smallest cost slope not on the CP
the smallest cost slope on the CP
2
When there are multiple critical paths and the project duration must be reduced, it is necessary to make reductions:

A) on whichever critical path affords the smallest cost increase
B) on whichever non-critical path affords the smallest cost increase
C) that will shorten all of the critical paths
D) that will shorten all of the non-critical paths
that will shorten all of the critical paths
3
To find the shortest possible project duration for the least cost:

A) crash all activities on the critical path (CP), then relax all non-CP activities
B) crash all activities not on the CP, then relax all critical activities
C) crash all activities in the project, then relax those not on the CP
D) crash all activities in the project, then relax those on the critical path
crash all activities in the project, then relax those not on the CP
4
Which statement is correct: In the CPM, as the duration of a project is decreased, usually:

A) so are both its direct and indirect costs
B) direct costs increase, but indirect costs decrease
C) both direct and indirect costs increase
D) direct costs decrease, indirect costs increase
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5
If a = 3, m = 5, and b = 6, then:

A) te = 4.667 and V = 1.5
B) te = 4.833 and V = 0.5
C) neither
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6
If the project completion has a distribution with Te = 15 weeks and Vp = 9, what is the probability that the project will be completed in less than 18 weeks? To answer this, the correct z value is:

A) 0.333
B) 1
C) -1
D) none of these
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7
Which statement is correct. The critical chain method:

A) helps planners to estimate the duration of activities more accurately.
B) stresses that, in order to finish the project on the project deadline (due date), all critical activities must be finished by their individual deadlines (due dates).
C) forces a person working on an activity to commit to when he/she will finish the work.
D) ensures that sufficient contingency reserve is built into the schedule of each individual activity.
E) None of the above is correct.
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8
Which statement is incorrect:

A) Unlike the critical path, the critical chain ensures stability on the project.
B) The critical chain is likely to reduce project duration.
C) The critical chain is, in general, longer than the critical path.
D) The critical chain results in a high probability of finishing the project on the promised date.
E) Unlike the critical path, the critical chain ensures that a resource is scheduled to do only one activity at any specific time.
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9
A project cannot have more than one ___________buffer.

A) Milestone
B) Feeding
C) Project
D) Resource
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10
Contingencies should be built in at the following level:

A) Program
B) Sub-program
C) Project
D) Sub-project
E) Activity
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11
The following type of buffer does not add time to a schedule:

A) Milestone
B) Feeding
C) Project
D) Resource
E) None of the above
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12
The following buffer enables the project manager to focus on critical activities by ensuring that the critical chain does not change during project execution:

A) Milestone
B) Feeding
C) Project
D) Resource
E) The combination of (b) and (d) above
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13
Resource buffers are always placed:

A) on the critical chain only
B) on both critical and on non-critical paths
C) where non-critical paths merge into the critical chain
D) at the end of the critical chain
E) at places where a "count down" to the start of a non-critical activity is needed.
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14
An approach to accelerate a project by simply eliminating discretionary dependencies is called:

A) Crashing
B) Concurrent engineering
C) Critical chain scheduling
D) Fast tracking
E) PERT/CPM
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15
GERT (circle all that are true):

A) utilizes branching nodes
B) like PERT, cannot repeat activities
C) unlike PERT/CPM, allows for multiple possible outcomes in a project
D) like CPM, activity duration estimates are restricted to a single, deterministic estimate
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16
Statement: PERT requires three time estimates for every activity.
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17
Statement: Given the assumptions of PERT, it is possible to determine the probability that a project will be completed by a specified date.
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18
Statement: In PERT, the mean (expected) time for each activity is determined by using a formula that gives the greatest weight to the "optimistic" time estimate.
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19
Statement: Although the times used in PERT are "estimates," the resulting probabilities are highly credible, especially in cases where little or no previous experience exists.
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20
Statement: In the critical path method (CPM), the direct cost of an activity is assumed to be proportional to its time, so shortening it to its "crash" time reduces its cost.
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21
Statement: The cost slope is the marginal tradeoff between the cost and time of doing a given activity.
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22
Statement: Indirect costs include administrative, overhead, and any penalty costs.
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23
Statement: A "resource loading" chart shows the amount of a given resource required in a project over a specified period of time.
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24
Statement: In resource loading, the project schedule is altered in an attempt to increase variations in the amount of the resource needed throughout the project.
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25
Statement: It is relatively easy to level many resources in a project at the same time.
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26
Use the following network diagram and table to answer parts (a) through (d).
 Use the following network diagram and table to answer parts (a) through (d).    \begin{array} { c | r r | c c } \text {  } & \text { Normal } && \text { Crash }\\ \text { Activity } & \text { Time } & \text { Cost } & \text { Time } & \text { Cost } \\ \hline \text { A } & 6 & 100 & 3 & 400 \\ \text { B } & 8 & 200 & 8 & 200 \\ \text { C } & 4 & 200 & 2 & 800 \\ \text { D } & 10 & 1000 & 5 & 4000 \\ \text { E } & 8 & 200 & 4 & 1000 \\ \text { F } & 10 & 1500 & 6 & 4500 \\ \text { G } & 8 & 800 & 5 & 1000 \\ \hline \end{array}  (a) Under normal conditions: what is the earliest the project can be completed; what is the critical path; what is the cost? (b) Suppose you wanted to complete the project one week earlier than under normal conditions. What activity(ies) would you have to speed up. How much would it add to the cost of the project? (c) Under crash conditions: what is the earliest the project can be completed; what is the minimum it will cost to complete it in this time. (d) The costs in part (a) through (d) are direct costs. Suppose overhead costs are determined by the formula C = 4000 + 2000t, where t is the project duration in weeks. Using this formula, what are the total project costs (direct plus indirect) for the project durations you got in parts (a) and (d)? Based on a cost comparison, should the project be completed under normal conditions, crash conditions, or somewhere in between?
  Normal  Crash  Activity  Time  Cost  Time  Cost  A 61003400 B 82008200 C 42002800 D 10100054000 E 820041000 F 10150064500 G 880051000\begin{array} { c | r r | c c } \text { } & \text { Normal } && \text { Crash }\\\text { Activity } & \text { Time } & \text { Cost } & \text { Time } & \text { Cost } \\\hline \text { A } & 6 & 100 & 3 & 400 \\\text { B } & 8 & 200 & 8 & 200 \\\text { C } & 4 & 200 & 2 & 800 \\\text { D } & 10 & 1000 & 5 & 4000 \\\text { E } & 8 & 200 & 4 & 1000 \\\text { F } & 10 & 1500 & 6 & 4500 \\\text { G } & 8 & 800 & 5 & 1000 \\\hline\end{array}
(a) Under "normal" conditions: what is the earliest the project can be completed; what is the critical path; what is the cost?
(b) Suppose you wanted to complete the project one week earlier than under normal conditions. What activity(ies) would you have to speed up. How much would it add to the cost of the project?
(c) Under "crash" conditions: what is the earliest the project can be completed; what is the minimum it will cost to complete it in this time.
(d) The costs in part (a) through (d) are direct costs. Suppose overhead costs are determined by the formula C = 4000 + 2000t, where t is the project duration in weeks. Using this formula, what are the total project costs (direct plus indirect) for the project durations you got in parts (a) and (d)? Based on a cost comparison, should the project be completed under normal conditions, crash conditions, or somewhere in between?
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27
The Following Questions adapted from tutorial material of H Steyn Ed., Project Management -A Multi-disciplinary Approach (Pretoria: FPM Publishing, 2003). Reprinted with permission.
-Consider the schedule below:
RB = Resource Buffer
FB = Feeding Buffer
PB = Project Buffer
The letters A, B, C, D and E represent the resources needed to do the indicated activities.
The Following Questions adapted from tutorial material of H Steyn Ed., Project Management -A Multi-disciplinary Approach (Pretoria: FPM Publishing, 2003). Reprinted with permission. -Consider the schedule below: RB = Resource Buffer FB = Feeding Buffer PB = Project Buffer The letters A, B, C, D and E represent the resources needed to do the indicated activities.   (a) Show the critical chain on the sketch above. (b) Why is there no resource buffer (RB) before the activity to be performed by A? (c) Why is there no resource buffer before the second task to be performed by resource B? (d) Would the 6-day duration shown for the activity to be performed by A be a pessimistic or a realistic value?
(a) Show the critical chain on the sketch above.
(b) Why is there no resource buffer (RB) before the activity to be performed by A?
(c) Why is there no resource buffer before the second task to be performed by resource B?
(d) Would the 6-day duration shown for the activity to be performed by A be a pessimistic or a realistic value?
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28
The Following Questions adapted from tutorial material of H Steyn Ed., Project Management -A Multi-disciplinary Approach (Pretoria: FPM Publishing, 2003). Reprinted with permission.

-Put checks in the appropriate boxes in the table below.
 Project  buffer  Feeding  buffer  Resource  buffer  Drum  buffer  This buffer/ these buffers ensure(s) that, unlike  the critical path, the critical chain does not  change from time to time during project  execution.  This buffer/ these buffers ensure(s) that jobs  done faster than planned contribute to reduced  project duration.  Action is required when this/these buffer(s)  is/are say 67% depleted.  This/these buffer(s) contain a contingency  reserve that has been removed from activities.  If activities are done faster than planned, it  could cause that this/these buffer(s) could get  depleted (i.e. get smaller).  This/these buffer(s) is/are never used on a  single project. \begin{array} { | l | l | l | l | l | } \hline & \begin{array} { l } \text { Project } \\\text { buffer }\end{array} & \begin{array} { l } \text { Feeding } \\\text { buffer }\end{array} & \begin{array} { l } \text { Resource } \\\text { buffer }\end{array} & \begin{array} { l } \text { Drum } \\\text { buffer }\end{array} \\\hline \begin{array} { l } \text { This buffer/ these buffers ensure(s) that, unlike } \\\text { the critical path, the critical chain does not } \\\text { change from time to time during project } \\\text { execution. }\end{array} & & & & \\\hline \begin{array} { l } \text { This buffer/ these buffers ensure(s) that jobs } \\\text { done faster than planned contribute to reduced } \\\text { project duration. }\end{array} & & & & \\\hline \begin{array} { l } \text { Action is required when this/these buffer(s) } \\\text { is/are say 67\% depleted. }\end{array} & & & & \\\hline \begin{array} { l } \text { This/these buffer(s) contain a contingency } \\\text { reserve that has been removed from activities. }\end{array} & & & & \\\hline \begin{array} { l } \text { If activities are done faster than planned, it } \\\text { could cause that this/these buffer(s) could get } \\\text { depleted (i.e. get smaller). }\end{array} & & & & \\\hline \begin{array} { l } \text { This/these buffer(s) is/are never used on a } \\\text { single project. }\end{array} & & & & \\\hline\end{array}
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29
The Following Questions adapted from tutorial material of H Steyn Ed., Project Management -A Multi-disciplinary Approach (Pretoria: FPM Publishing, 2003). Reprinted with permission.

-Complete the following table: state how the five steps of constraints management relate to the management of a single project when the critical chain method is used.
 Constraints  management step  Application to management of a (single) project  1. Identify the constraint  2. Decide how to exploit  the constraint(s)  3. Subordinate everything  to the decision(s) in 2 above  4. Elevate the  constraint(s) (in other  words, take steps to  "widen the bottleneck")  5. Go back to Step 1. \begin{array} { | l | l | } \hline \begin{array} { l } \text { Constraints } \\\text { management step }\end{array} & \text { Application to management of a (single) project } \\\hline \text { 1. Identify the constraint } & \\\hline \begin{array} { l } \text { 2. Decide how to exploit } \\\text { the constraint(s) }\end{array} & \\\hline \begin{array} { l } \text { 3. Subordinate everything } \\\text { to the decision(s) in } 2 \\\text { above }\end{array} & \\\hline \begin{array} { l } \text { 4. Elevate the } \\\text { constraint(s) (in other } \\\text { words, take steps to } \\\text { "widen the bottleneck") }\end{array} & \\\hline \begin{array} { l } \text { 5. Go back to Step 1. }\end{array} \\\hline\end{array}
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