Exam 19: Transportation Models

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Which of the following is NOT information needed for a transportation problem?

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A firm has established a distribution network for the supply of a raw material critical to its manufacturing. Currently there are two origins for this raw material, which must be shipped to three manufacturing plants. The current network has the following characteristics: A firm has established a distribution network for the supply of a raw material critical to its manufacturing. Currently there are two origins for this raw material, which must be shipped to three manufacturing plants. The current network has the following characteristics:    The firm has identified two potential sites for a third raw material source; these are identified as Candidate A and Candidate B. From A, the costs to ship would be $9 to Plant 1, $10 to Plant 2, and $12 to Plant 3, respectively. From B, these costs would be $11, $14, and $8, respectively. The new source, wherever it is located, will have a capacity of 500 units. Set up this problem as two separate transportation matrices. (Do not solve the problem.) The firm has identified two potential sites for a third raw material source; these are identified as Candidate A and Candidate B. From A, the costs to ship would be $9 to Plant 1, $10 to Plant 2, and $12 to Plant 3, respectively. From B, these costs would be $11, $14, and $8, respectively. The new source, wherever it is located, will have a capacity of 500 units. Set up this problem as two separate transportation matrices. (Do not solve the problem.)

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When using the stepping-stone method, the closed path sometimes has the shape of a triangle as diagonal moves are permitted.

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The Shamrock Transportation Company has four terminals: A, B, C, and D. At the start of a particular day, there are 8, 8, 6, and 3 tractors available at those terminals, respectively. During the previous night, trailers were loaded at plants R, S, T, and U. The number of trailers at each plant is 2, 12, 5, and 6, respectively. The company dispatcher has determined the distances between each terminal and each plant, as follows. How many tractors should be dispatched from each terminal to each plant in order to minimize the total number of miles traveled? The Shamrock Transportation Company has four terminals: A, B, C, and D. At the start of a particular day, there are 8, 8, 6, and 3 tractors available at those terminals, respectively. During the previous night, trailers were loaded at plants R, S, T, and U. The number of trailers at each plant is 2, 12, 5, and 6, respectively. The company dispatcher has determined the distances between each terminal and each plant, as follows. How many tractors should be dispatched from each terminal to each plant in order to minimize the total number of miles traveled?

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Source A has capacity of 15, Source B has capacity of 30, Destination 1 has demand of 5 and Destination 2 has demand of 20. Fill in the following table with the correct initial solution for a northwest-corner method approach. Source A has capacity of 15, Source B has capacity of 30, Destination 1 has demand of 5 and Destination 2 has demand of 20. Fill in the following table with the correct initial solution for a northwest-corner method approach.

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To handle degeneracy, a very large quantity is placed in one of the unused squares.

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Consider the transportation problem and its optimal solution in the tables below. The cell Source 3 - Destination 3 is currently empty. What would be the change in the total shipping cost if the largest possible amount were shipped using that route, leaving all the supply and demand conditions unchanged? Consider the transportation problem and its optimal solution in the tables below. The cell Source 3 - Destination 3 is currently empty. What would be the change in the total shipping cost if the largest possible amount were shipped using that route, leaving all the supply and demand conditions unchanged?

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Neither the northwest-corner rule nor the intuitive method considers shipping cost in making initial allocations.

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For the problem below, what is the quantity assigned to the cell Source 3-Destination 1 using the intuitive method for an initial feasible solution? For the problem below, what is the quantity assigned to the cell Source 3-Destination 1 using the intuitive method for an initial feasible solution?

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A transportation problem with 8 sources and 6 destinations will have an optimal solution that uses at most 13 of the 48 possible routes.

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Find the minimum cost solution for the transportation problem detailed in the table below. Find the minimum cost solution for the transportation problem detailed in the table below.    Before your solution can be implemented, you discover that the combination Source 2 - Destination 2 is unavailable, due to political turmoil in the country where Source 2 is located. Solve the revised problem. How much is cost increased by this complication? Before your solution can be implemented, you discover that the combination Source 2 - Destination 2 is unavailable, due to political turmoil in the country where Source 2 is located. Solve the revised problem. How much is cost increased by this complication?

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A firm has established a distribution network for the supply of a raw material critical to its manufacturing. Currently there are two origins for this raw material, which must be shipped to three manufacturing plants. The current network has the following characteristics: A firm has established a distribution network for the supply of a raw material critical to its manufacturing. Currently there are two origins for this raw material, which must be shipped to three manufacturing plants. The current network has the following characteristics:   The firm has identified five potential sites for a third raw material source:   The new source, wherever it is located, will have a capacity of 500 units. Solve with the transportation method. Which site should be selected? The firm has identified five potential sites for a third raw material source: A firm has established a distribution network for the supply of a raw material critical to its manufacturing. Currently there are two origins for this raw material, which must be shipped to three manufacturing plants. The current network has the following characteristics:   The firm has identified five potential sites for a third raw material source:   The new source, wherever it is located, will have a capacity of 500 units. Solve with the transportation method. Which site should be selected? The new source, wherever it is located, will have a capacity of 500 units. Solve with the transportation method. Which site should be selected?

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What is transportation modeling?

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Given the following feasible solution, determine if the problem is degenerate and then find the optimal solution and its cost. Assume that capacity for source A is 10 and 30 for source B. Destination A demands 10 units while destination B demands 30 units. Cost of shipping per unit is given as AA ($4), AB ($1), BA ($3), and BB ($2). Given the following feasible solution, determine if the problem is degenerate and then find the optimal solution and its cost. Assume that capacity for source A is 10 and 30 for source B. Destination A demands 10 units while destination B demands 30 units. Cost of shipping per unit is given as AA ($4), AB ($1), BA ($3), and BB ($2).

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The stepping-stone method:

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For the problem data set below, what is the northwest-corner allocation to the cell Source 1 - Destination 2? For the problem data set below, what is the northwest-corner allocation to the cell Source 1 - Destination 2?

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Suppose the solution for a transportation model fills 5 cells with quantities to be shipped. Which of the following combinations of sources and destinations would be degenerate?

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For the transportation problem below, construct an initial feasible solution using the intuitive method. For the transportation problem below, construct an initial feasible solution using the intuitive method.

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For the data below, construct an initial feasible solution using the northwest-corner rule. For the data below, construct an initial feasible solution using the northwest-corner rule.

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A transportation problem with a total supply of 500 and a total demand of 400 will have an optimal solution that leaves 100 units of demand unmet.

(True/False)
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