Exam 9: Project Scheduling: Pertcpm

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Activities with zero slack

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The main difference between CPM and PERT is

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A

Three paths of a PERT network have these mean durations and variances in weeks: ​ Three paths of a PERT network have these mean durations and variances in weeks: ​   ​ Which path offers the greatest risk of overrunning a contract deadline of 48 weeks? ​ Which path offers the greatest risk of overrunning a contract deadline of 48 weeks?

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​ Path 1: st = 1.658; z = 1.809; P(D > 48)= 3.5% Path 2: st = 2.345; z = 1.706; P(D > 48)= 4.4% Path 3: st = 1.095; z = 1.826; P(D > 48)= 3.4% Path 2 offers the greatest risk (but only by a small margin).

National Oil Company (NATOCO)must plan the shutdown of its Houston refinery for routine preventive maintenance.Each hour of downtime is lost production time and is very costly,so NATOCO wants the maintenance project completed in 22 hours.The PERT network below shows the precedence relationships of the activities involved in the project.The table gives the activity times and costs under normal operations and maximum crashing. National Oil Company (NATOCO)must plan the shutdown of its Houston refinery for routine preventive maintenance.Each hour of downtime is lost production time and is very costly,so NATOCO wants the maintenance project completed in 22 hours.The PERT network below shows the precedence relationships of the activities involved in the project.The table gives the activity times and costs under normal operations and maximum crashing.   ​ NATOCO wants to know the minimum cost of completing the maintenance project within the 22-hour period.Formulate and solve a linear program that will yield this information.​   ​ ​ NATOCO wants to know the minimum cost of completing the maintenance project within the 22-hour period.Formulate and solve a linear program that will yield this information.​ National Oil Company (NATOCO)must plan the shutdown of its Houston refinery for routine preventive maintenance.Each hour of downtime is lost production time and is very costly,so NATOCO wants the maintenance project completed in 22 hours.The PERT network below shows the precedence relationships of the activities involved in the project.The table gives the activity times and costs under normal operations and maximum crashing.   ​ NATOCO wants to know the minimum cost of completing the maintenance project within the 22-hour period.Formulate and solve a linear program that will yield this information.​   ​

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Activities following a node

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Joe King has ambitions to be mayor of Williston,North Dakota.Joe has determined the breakdown of the steps to the nomination and has estimated normal and crash costs and times for the campaign as follows (times are in weeks). Joe King has ambitions to be mayor of Williston,North Dakota.Joe has determined the breakdown of the steps to the nomination and has estimated normal and crash costs and times for the campaign as follows (times are in weeks).   ​   ​ Joe is not a wealthy man and would like to organize a 16-week campaign at minimum cost.Write and solve a linear program to accomplish this task.Joe King has ambitions to be mayor of Williston,North Dakota.Joe has determined the breakdown of the steps to the nomination and has estimated normal and crash costs and times for the campaign as follows (times are in weeks).   ​   ​ Joe is not a wealthy man and would like to organize a 16-week campaign at minimum cost.Write and solve a linear program to accomplish this task. ​ Joe is not a wealthy man and would like to organize a 16-week campaign at minimum cost.Write and solve a linear program to accomplish this task.

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Shortening activity times,which is usually accomplished by adding resources to the project,is called crashing.

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A project has the following activities,durations,costs,and precedence relationships: ​ A project has the following activities,durations,costs,and precedence relationships: ​   ​ Develop a time-cost trade-off analysis.Detail the steps that you would use to accelerate or crash the project to its minimum duration at the lowest cost.Determine each step's cost and the duration of the project.​ ​ Develop a time-cost trade-off analysis.Detail the steps that you would use to accelerate or crash the project to its minimum duration at the lowest cost.Determine each step's cost and the duration of the project.​

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A critical activity is

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We identify the critical path of a project as

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A critical activity can be part of a noncritical path.

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The critical path for this network is A - E - F,and the project completion time is 22 weeks. The critical path for this network is A - E - F,and the project completion time is 22 weeks.     ​ If a deadline of 17 weeks is imposed,give the linear programming model for the crashing decision. The critical path for this network is A - E - F,and the project completion time is 22 weeks.     ​ If a deadline of 17 weeks is imposed,give the linear programming model for the crashing decision. ​ If a deadline of 17 weeks is imposed,give the linear programming model for the crashing decision.

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When activity times are uncertain,an activity's most likely time is the same as its expected time.

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When activity times are uncertain,total project time is normally distributed by considering the overall mean being equal to the sum of the means of all of the critical activities.

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The earliest start time rule

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It is normal for activities on the critical path to be delayed without delaying the entire project.

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A path through a project network must reach every node.

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Use the following network of related activities with their duration times (weeks)to complete a row for each activity under the column headings below. Use the following network of related activities with their duration times (weeks)to complete a row for each activity under the column headings below.    Use the following network of related activities with their duration times (weeks)to complete a row for each activity under the column headings below.

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PERT and CPM

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In PERT,the activity duration time is equal to the

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