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The more-for-less (MFL) phenomenon in distribution problems occurs when it is possible to ship more total goods for less (or equal) total cost, while shipping the same quantity or more from each origin and to each destination. This paradox occurs often in fixed-charge transportation problems (FCTPs), and further analysis could bring significant reduction in costs. The MFL phenomenon for FCTPs has...
We characterize the mxn cost matrices of the transportation problem for which there exist supplies and demands such that the transportation paradox arises. Our characterization is fairly simple and can be verified within O(mn) computational steps. Moreover, we discuss the corresponding question for the algebraic transportation problem.
In a recent paper, Adlakha and Kowalski [A quick sufficient solution to the more-for-less paradox in the transportation problems. Omega, 1998;26:541-7] present a solution method for the more-for-less paradox for transportation problems. The method, though efficient, does not provide specific directions in some instances. In this note we modify the procedure to address issues raised by readers.
In many distribution problems, the transportation cost consists of a fixed cost, independent of the amount transported and a variable cost, proportional to the amount shipped. In such fixed-charge transportation problems, is it possible to find a solution with less (or equal) cost than the optimal solution by shipping more units, under the condition that at least the same amount is shipped from each...
In a transportation problem, is it possible to find a solution with less (or equal) cost than the optimal solution by shipping more units under the condition that at least the same amount is shipped from each supply point and to each market? This more-for-less analysis could be useful for managers in decisions such as increasing warehouse/plant capacity, or advertising efforts to increase demand at...
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