Exam 10: Project Scheduling: Lagging, Crashing, and Activity Networks

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AOA is a more useful technique than AON if the project is complex and has many significant milestones.

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   -Use the Gantt chart and activity list to determine which resource is released from this project for use in another project the earliest.  \begin{array} { | l | l | l | l | }  \hline \text { Activity } & \text { Resources } & \text { Activity } & \text { Resources } \\ \hline \text { R } & 3,5 & \text { M } & 1,2 \\ \hline \text { H } & 1 & \text { K } & 4 \\ \hline \text { G } & 2,5 & \text { T } & 3 \\ \hline \text { F } & 4,1 & \text { P } & 1 \\ \hline \text { B } & 2 & \text { S } & 3,4 \\ \hline T & 4 & \text { W } & 3 \\ \hline \end{array} -Use the Gantt chart and activity list to determine which resource is released from this project for use in another project the earliest. Activity Resources Activity Resources R 3,5 M 1,2 H 1 K 4 G 2,5 T 3 F 4,1 P 1 B 2 S 3,4 T 4 W 3

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An AOA network:

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D

A project has the activity duration and cost information indicated in the table where all times are in weeks.What is the total cost for completing this project as quickly as possible? A project has the activity duration and cost information indicated in the table where all times are in weeks.What is the total cost for completing this project as quickly as possible?

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The AOA network described by this table needs: Activity Predecessor A -- B -- C A, B D B E C, D

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A project has the activity duration and cost information indicated in the table where all times are in weeks.There is a penalty of $250 per week for every week the project extends beyond 32 weeks.What is the cost of the least expensive project possible? Activity Normal time Crash time Normal Cost Crash Cost Predecessor 8 5 \ 1,000 2,000 6 4 1,500 2,000 A 8 5 1,800 2,300 12 9 1,000 1,800 14 11 950 1,450 9 7 1,500 1,900 C, D 7 5 2,300 2,800 E, F

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  -What is the late finish for activity D in the network shown in the diagram? -What is the late finish for activity D in the network shown in the diagram?

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The heir to the throne was due 60 days from now and the first-time father had a serious construction project on his hands converting his man cave into a nursery.The seven activities,their normal and expedited times (in days)and costs appear in the table.Just to be on the safe side,he decided to bring the project in at 53 days in case the delivery was a week early.Tell him what the least expensive 53-day project is; which activities should be reduced in duration,by how many days,and at the total cost,so he can roll up the sleeves on his "World's Greatest Dad" sweatshirt,and get to work. Activity Normal time Crash time Normal Cost Crash Cost Predecessor A 5 3 500 1100 B 18 15 900 2300 A C 12 9 2500 3000 A D 9 7 500 650 B E 15 12 3000 5000 B F 12 10 4000 5000 C, D G 20 15 3600 4800 E, F

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AOA networks have an advantage over AON networks:

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Brook's Law states that the typical crashing decision to add more resources to an activity only delays the activity further.

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Most project management software employs AOA diagramming.

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Most activity estimations using PERT methods lead to overly optimistic activity duration estimates.

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   -Use the Gantt chart and activity list to determine which resource has the greatest continual use.  \begin{array} { | l | l | l | l | }  \hline \text { Activity } & \text { Resources } & \text { Activity } & \text { Resources } \\ \hline \mathbb { R } & 3 & \mathrm { M } & 1 \\ \hline \mathrm { H } & 1 & \mathrm {~K} & 5 \\ \hline \mathrm { G } & 4 & \mathrm {~T} & 3 \\ \hline \mathbb { F } & 2 & \mathrm { P } & 1 \\ \hline \mathrm { B } & 2 & \mathrm {~S} & 2 \\ \hline \mathrm { T } & 4 & \mathrm {~W} & 3 \\ \hline \end{array} -Use the Gantt chart and activity list to determine which resource has the greatest continual use. Activity Resources Activity Resources 3 1 1 5 4 3 2 1 2 2 4 3

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   -Use the Gantt chart and the activity list to determine which resource is used the most.  \begin{array} { | l | l | l | l | }  \hline \text { Activity } & \text { Resources } & \text { Activity } & \text { Resources } \\ \hline \text { A } & 1 & \text { F } & 2 \\ \hline \text { B } & 3 & \text { G } & 3 \\ \hline \text { C } & 4 & \text { H } & 4 \\ \hline \text { D } & 2 & \text { T } & 5 \\ \hline \text { E } & 2 & \text { K } & 1 \\ \hline \end{array} -Use the Gantt chart and the activity list to determine which resource is used the most. Activity Resources Activity Resources A 1 F 2 B 3 G 3 C 4 H 4 D 2 T 5 E 2 K 1

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AON networks have an advantage over AOA networks:

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The fastest completion time for this project is: The fastest completion time for this project is:

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Use the information in the table (all times are in days)to determine the lowest cost minimum completion time if the base cost for each activity finished in normal time is $1,000. Normal Minimum Crash Cost Activity Time Time ( \/ day) Predecessor A 10 6 \ 70 - B 6 3 \ 40 - C 2 2 - B D 4 2 \ 60 C E 6 4 \ 80 A F 8 5 \ 90 D, E

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   -Use the Gantt chart and the activity list to determine which resource is used the least.  \begin{array} { | l | l | l | l | }  \hline \text { Activity } & \text { Resources } & \text { Activity } & \text { Resources } \\ \hline \text { A } & 1 & \text { F } & 2 \\ \hline \text { B } & 1 & \text { G } & 3 \\ \hline \text { C } & 4 & H & 4 \\ \hline \text { E } & 2 & \text { I } & 3 \\ \hline \end{array} -Use the Gantt chart and the activity list to determine which resource is used the least. Activity Resources Activity Resources A 1 F 2 B 1 G 3 C 4 H 4 E 2 I 3

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A project has the activity duration and cost information indicated in the table where all times are in weeks.There is a penalty of $4,000 per week for every week the project exceeds 37 weeks.What is the lowest total cost for completing this project? A project has the activity duration and cost information indicated in the table where all times are in weeks.There is a penalty of $4,000 per week for every week the project exceeds 37 weeks.What is the lowest total cost for completing this project?

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Which of the activities in the diagram have slack?

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