Exam 11: Network Models

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In the minimal-spanning tree technique, if there is a tie for the nearest node, that suggests that there may be more than one optimal solution.

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A line in a network that may represent a path or a route is called a(n) ________.

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In the minimal-spanning tree technique, it is necessary to start at the last node in the network.

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The maximal-flow model might be of use to an engineer looking for spare capacity in an oil pipeline system.

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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 shortest-route technique might be logically used for

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Which of the following problems can be solved as a linear program using binary decision variables?

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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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Given the following nodes and distances, determine the minimal length of cable necessary to connect all nodes, using Node 2 as the starting point. Given the following nodes and distances, determine the minimal length of cable necessary to connect all nodes, using Node 2 as the starting point.

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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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Pipeline fluid flows are indicated below. Determine the maximum flow from Node 1 to Node 3. Pipeline fluid flows are indicated below. Determine the maximum flow from Node 1 to Node 3.

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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 flowing from Node 1 through Node 7. (b) Determine the minimum distance. (a) Determine which nodes should be connected to get the minimum distance flowing from Node 1 through Node 7. (b) Determine the minimum distance.

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The minimal-spanning technique would best be used

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

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Given the following distances between destination nodes, what is the minimum distance that connects all the nodes? Given the following distances between destination nodes, what is the minimum distance that connects all the nodes?

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Find the shortest route from Node 1 to Node 5. Find the shortest route from Node 1 to Node 5.

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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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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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The origin or beginning node in a network is called ________.

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