Exam 6: Distribution and Network Problems

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The difference between the transportation and assignment problems is that

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When the number of agents exceeds the number of tasks in an assignment problem, one or more dummy tasks must be introduced in the LP formulation or else the LP will not have a feasible solution.

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Whenever total supply is less than total demand in a transportation problem, the LP model does not determine how the unsatisfied demand is handled.

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The capacitated transportation problem includes constraints which reflect limited capacity on a route.

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The direction of flow in the shortest-route problem is always out of the origin node and into the destination node.

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We assume in the maximal flow problem that

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The maximal flow problem can be formulated as a capacitated transshipment problem.

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In a transshipment problem, shipments

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When a route in a transportation problem is unacceptable, the corresponding variable can be removed from the LP formulation.

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A transshipment constraint must contain a variable for every arc entering or leaving the node.

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The shortest-route problem finds the shortest-route

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