Exam 23: Transportation, Assignment, and Network Algorithms

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The maximal-flow technique might be used

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

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Table M8-15 A sprinkler service is analyzing the flow of water through pipes in your front yard.The flow capacities are given in the table below.Flow is measured in 100 gallons/hour. Table M8-15 A sprinkler service is analyzing the flow of water through pipes in your front yard.The flow capacities are given in the table below.Flow is measured in 100 gallons/hour.    -Use the information in Table M8-15.In order to achieve maximal flow from node 1 to node 7, what should the flow from node 2 to node 4 be? -Use the information in Table M8-15.In order to achieve maximal flow from node 1 to node 7, what should the flow from node 2 to node 4 be?

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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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In the transportation problem, using the stepping-stone method

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When is a dummy destination added to a transportation problem?

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

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Find the shortest route from Node 1 to Node 4. Find the shortest route from Node 1 to Node 4.

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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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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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Transportation models can be used for which of the following decisions?

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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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A certain firm has four different operations that must be assigned to four locations.The profit (in thousands of dollars)associated with each operation at each location is presented below.The firm's vice president would like to assign the various operations so that the total profit is maximized.Find the appropriate assignments. A certain firm has four different operations that must be assigned to four locations.The profit (in thousands of dollars)associated with each operation at each location is presented below.The firm's vice president would like to assign the various operations so that the total profit is maximized.Find the appropriate assignments.

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Maximization assignment problems can easily be converted to minimization problems by subtracting each rating from the largest rating in the table.

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SE Appliances manufactures refrigerators in Richmond, Charlotte, and Atlanta.Refrigerators then must be shipped to meet demand in Washington, New York, and Miami.The table below lists the shipping costs, supply, and demand information. SE Appliances manufactures refrigerators in Richmond, Charlotte, and Atlanta.Refrigerators then must be shipped to meet demand in Washington, New York, and Miami.The table below lists the shipping costs, supply, and demand information.    How many units should be shipped from each plant to each retail store in order to minimize shipping costs? How many units should be shipped from each plant to each retail store in order to minimize shipping costs?

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

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

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Which of the following is not considered a special situation with the transportation algorithm?

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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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