25 May Question 10.1 Which of the following techniques can be used for
Question
10.1 Which of the following techniques can be used for moving from an initial feasible solution to an optimal solution in a transportation problem?
(a) Hungarian method
(b) stepping-stone method
(c) northwest corner rule
(d) Vogel’s approximation method
(e) all of the above
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10.2 Which of the following is an applicable characteristic in using the stepping-stone method?
(a) Only an unoccupied square may be used as a “stepping-stone.”
(b) Only an occupied square may be used as a “stepping-stone.”
(c) Only the column and row with the highest factory capacity may be used as a “stepping-stone.”
(d) all of the above
(e) none of the above
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10.3 After testing each unused cell by the stepping-stone method in the transportation problem and finding only one cell with a negative improvement index,
(a) once you make that improvement, you would definitely have an optimal solution.
(b) you would make that improvement and then check all unused cells again.
(c) you could stop because you already had the optimal solution.
(d) you should check to be sure that you don’t have to add a dummy source or dummy destination.
(e) none of the above
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10.4 In the transportation problem, using the stepping-stone method,
(a) you may not skip over an empty cell.
(b) you may not skip over a used cell.
(c) your path may not cross over itself.
(d) if you have an optimal solution and get an improvement index of zero, there is another optimal solution.
(e) none of the above
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10.5 In using the stepping-stone or the MODI solution method, which of the following rules must first be observed in order to apply the method?
(a) The supply must be less than the demand.
(b) The demand must be less than the supply.
(c) The number of occupied routes must always equal one less than the sum of the number of rows plus the number of columns.
(d) The number of occupied routes must equal the number of columns plus the number of rows.
(e) none of the above
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10.6 Which method usually gives a very good initial solution and often results in the optimal solution to a transportation problem?
(a) northwest corner rule
(b) Vogel’s approximation method
(c) MODI method
(d) stepping-stone method
(e) none of the above
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