Exam 23: Transportation, Assignment, and Network Algorithms

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A logistics company is determining the shortest route to get to a selected final destination.The information on possible paths and distances is given below: A logistics company is determining the shortest route to get to a selected final destination.The information on possible paths and distances is given below:

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Pipeline fluid flows are indicated below.Determine the maximum flow from Node 1 to Node 4. Pipeline fluid flows are indicated below.Determine the maximum flow from Node 1 to Node 4.

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The objective of a transportation problem solution is to schedule shipments from sources to destinations while minimizing total transportation and production costs.

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Pipeline fluid flows are indicated below.Determine the maximum flow from Node 1 to Node 5. Pipeline fluid flows are indicated below.Determine the maximum flow from Node 1 to Node 5.

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Given the following traffic flows,in hundreds of cars per hour,what is the maximum traffic flow from City 1 to City 7? Given the following traffic flows,in hundreds of cars per hour,what is the maximum traffic flow from City 1 to City 7?

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The maximal-flow technique might be used

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Find the shortest route from Node 1 to each of the other nodes in the transportation network represented below. Find the shortest route from Node 1 to each of the other nodes in the transportation network represented below.

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The two most common objectives for the assignment problem are the minimization of

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Assignment problems involve determining the most efficient assignment of people to projects,salesmen to territories,contracts to bidders,and so on.

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When using the shortest-route technique,the second step is to

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The maximal-flow technique would best be used

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Given a network with the following distances: Given a network with the following distances:   (a)Determine which nodes should be connected to get the minimum distance from Nodes 1 through 6. (b)Determine the minimum distance. (a)Determine which nodes should be connected to get the minimum distance from Nodes 1 through 6. (b)Determine the minimum distance.

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It is possible to find an optimal solution to a transportation problem that is degenerate.

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In a transportation problem,each destination must be supplied by one and only one source.

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Which technique requires that we start in the upper-left-hand cell of the table and allocate units to shipping routes in a "stair step" fashion?

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Which of the following techniques can be used for moving from an initial feasible solution to an optimal solution in a transportation problem?

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Table M8-7 Table M8-7   -Table M8-7 illustrates a(n) -Table M8-7 illustrates a(n)

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The maximal-flow model assumes that there is a net flow from "source" to "sink."

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In a transportation problem,degeneracy occurs when

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In a transportation problem,a dummy source is given a zero cost,while in an assignment problem,a dummy source is given a very high cost.

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