Exam 24: Transportation Models

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

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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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A transportation problem has 8 origins and 6 destinations.The optimal solution of this problem will fill no more than ________ cells with quantities to be shipped.

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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.From B,these costs would be $11,$14,and $8.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 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.From B,these costs would be $11,$14,and $8.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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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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Degeneracy in a transportation problem is when no closed path exists for evaluating an unused cell.

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The northwest-corner rule's biggest flaw is that:

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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.

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Find the minimum cost solution for the transportation problem detailed in the table below.Explain carefully the meaning of any quantity in a "dummy" row or column. Find the minimum cost solution for the transportation problem detailed in the table below.Explain carefully the meaning of any quantity in a dummy row or column.

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When does degeneracy occur in a transportation model?

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State,in order,the three steps in making an initial allocation with the northwest-corner rule.

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

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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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In a transportation minimization problem,the negative improvement index associated with a cell indicates that reallocating units to that cell would lower costs.

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A manufacturer of semiconductor "wafers" has been attempting to convert its operations to practices more in keeping with JIT principles.The firm is now paying much more attention to the transit time between one processing stage and the next.The plant has a somewhat haphazard pattern of machine locations,partly because the machines were purchased and installed at different times,partly from a shortage of floor space,and partly from previous experiments with work cells.The bottom line is this: there are four machines that perform a certain processing phase,and three machines that perform the next phase.All units of a large class of wafers go through these two phases.The table below displays the transit time,in minutes,from each machine of the first phase to each machine of the second.Machine 3 is not really 100 minutes away from machine B;the company has prohibited that combination because of quality problems associated with that specific pairing.Supply and demand quantities are in wafers processed per week.Develop a transit time minimizing solution for this firm.What is the total transit time of this solution? Which machines are fully utilized? Which machines have some capacity unused or requirements unfilled? Was the prohibition on the 3-B combination honored? A manufacturer of semiconductor wafers has been attempting to convert its operations to practices more in keeping with JIT principles.The firm is now paying much more attention to the transit time between one processing stage and the next.The plant has a somewhat haphazard pattern of machine locations,partly because the machines were purchased and installed at different times,partly from a shortage of floor space,and partly from previous experiments with work cells.The bottom line is this: there are four machines that perform a certain processing phase,and three machines that perform the next phase.All units of a large class of wafers go through these two phases.The table below displays the transit time,in minutes,from each machine of the first phase to each machine of the second.Machine 3 is not really 100 minutes away from machine B;the company has prohibited that combination because of quality problems associated with that specific pairing.Supply and demand quantities are in wafers processed per week.Develop a transit time minimizing solution for this firm.What is the total transit time of this solution? Which machines are fully utilized? Which machines have some capacity unused or requirements unfilled? Was the prohibition on the 3-B combination honored?

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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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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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A transportation problem has improvement indices of 5,4,0,and -3.Which of the following is always true?

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When the number of shipments in a feasible solution is less than the number of rows plus the number of columns minus one:

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