Exam 24: Transportation Models

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For the problem data set below,what is the northwest corner allocation to the cell Source 3-Destination 3? For the problem data set below,what is the northwest corner allocation to the cell Source 3-Destination 3?

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Degeneracy occurs when the number of occupied squares is less than the number of rows plus the number of columns minus one.

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A transportation problem has 10 origins and 32 destinations.How many possible routes are there for this problem? What is the maximum number of routes that will be used in the optimal solution?

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________ finds the least-cost means of shipping supplies from several origins to several destinations.

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What is transportation modeling?

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The purpose of the transportation approach for location analysis is to minimize which of the following?

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The larger a transportation problem (that is,as the problem has more rows and more columns),the smaller the fraction of all possible routes that will be filled in a solved problem.Explain.

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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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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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A transportation model uses at least 10 sources and 100 destinations.If the ratio of sources to destinations remains constant,does the maximum % of cells used by the optimum solution remain constant? Why or why not?

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The number of routes filled by a solution to a transportation problem is no larger than ________.

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The intuitive method of generating an initial solution has different results for each problem solver because "intuition" varies from person to person.

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When is it necessary to add dummy sources or destinations to a transportation problem?

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What does the stepping-stone method do?

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A large transportation problem has 220 origins and 1360 destinations.The optimal solution of this problem will fill no more than about ________ of cells with quantities to be shipped.

(Multiple Choice)
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The transportation model is a special class of linear programming models.

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

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The ________ develops an initial feasible solution for a transportation model by starting at the upper left-hand cell of a table and systematically allocating units to shipping points.

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