Exam 10: Distribution and Network Problems

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Draw the network for this transportation problem. Min 2XAX + 3XAY + 5XAZ+ 9XBX + 12XBY + 10XBZ s.t.XAX + XAY + XAZ < 500 XBX + XBY + XBZ < 400 XAX + XBX = 300 XAY + XBY = 300 XAZ + XBZ = 300 Xij > 0

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A dummy origin in a transportation problem is used when supply exceeds demand.

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The problem which deals with the distribution of goods from several sources to several destinations is the

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The assignment problem is a special case of the transportation problem in which all supply and demand values equal one.

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The network below shows the flows possible between pairs of six locations.Formulate an LP to find the maximal flow possible from Node 1 to Node 6. The network below shows the flows possible between pairs of six locations.Formulate an LP to find the maximal flow possible from Node 1 to Node 6.

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Converting a transportation problem LP from cost minimization to profit maximization requires only changing the objective function;the conversion does not affect the constraints.

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Show both the network and the linear programming formulation for this assignment problem. Show both the network and the linear programming formulation for this assignment problem.

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The assignment problem constraint x31 + x32 + x33 + x34 < 2 means

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Constraints in a transshipment problem

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Which of the following is not true regarding an LP model of the assignment problem?

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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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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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In the general linear programming model of the assignment problem,

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Find the maximal flow from node 1 to node 7 in the following network. Find the maximal flow from node 1 to node 7 in the following network.

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The difference between the transportation and assignment problems is that

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Consider the following shortest-route problem involving seven cities.The distances between the cities are given below.Draw the network model for this problem and formulate the LP for finding the shortest route from City 1 to City 7. Path Distance 1 to 2 6 1 to 3 10 1 to 4 7 2 to 3 4 2 to 5 5 3 to 4 5 3 to 5 2 3 to 6 4 4 to 6 8 5 to 7 7 6 to 7 5

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The parts of a network that represent the origins are

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