Exam 9: Transportation, Assignment, and Network Models

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The minimal-spanning tree technique finds the shortest route to a series of destinations.

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As part of the planning for a major office development project, it is necessary to install telephone lines to the buildings.Information about the project is given below.The distances are provided in hundreds of feet.Which offices should be connected so that total wiring costs (i.e., total distance)are minimized? What is the total length of this? As part of the planning for a major office development project, it is necessary to install telephone lines to the buildings.Information about the project is given below.The distances are provided in hundreds of feet.Which offices should be connected so that total wiring costs (i.e., total distance)are minimized? What is the total length of this?

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A transportation problem with intermediate points is called a transshipment problem.

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Given the pipeline fluid flows indicated below, determine the maximum flow from Node 1 to Node 5. Given the pipeline fluid flows indicated below, determine the maximum flow from Node 1 to Node 5.

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Which of these statements is best?

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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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Find the shortest route from Node 1 to Node 5 using the shortest-route technique. Find the shortest route from Node 1 to Node 5 using the shortest-route technique.

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Find the shortest route from Node 6 to Node 1. Find the shortest route from Node 6 to Node 1.

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A point in the network, that is at the beginning or end of a route is called a(n)

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The maximal-flow technique would be helpful to city planners in determining how freeways should be expanded.

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Neki Sports Company manufactures treadmills in factories located in Pittsburgh and Kansas City.These are shipped to regional distribution centers in Chicago, Phoenix, and Philadelphia.Ultimately they are delivered to supply houses in New York and Los Angeles.The available supplies at the factories, demands at the final destinations, and shipping costs are illustrated in the table below. Neki Sports Company manufactures treadmills in factories located in Pittsburgh and Kansas City.These are shipped to regional distribution centers in Chicago, Phoenix, and Philadelphia.Ultimately they are delivered to supply houses in New York and Los Angeles.The available supplies at the factories, demands at the final destinations, and shipping costs are illustrated in the table below.    Formulate this problem as a linear program. Formulate this problem as a linear program.

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The maximal-flow technique might be used by the U.S.Army Corps of Engineers to study water run-off in an attempt to minimize the danger from floods.

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