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Sensitivity analysis as a means of reducing the dimensionality of a certain class of transportation problems

✍ Scribed by Jacob Intrator; Abraham Engelberg

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
761 KB
Volume
27
Category
Article
ISSN
0894-069X

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✦ Synopsis

Sensitivity analysis of the transportation problem is developed in a way which enables reducing the dimensionality of the associated tableau. This technique is used to reduce the dimensionality of a transportation problem whose origin requirements are relatively small at the majority of origins. A long transportation problem, for which efficient solution procedures exist, results. A second application relates to the location-allocation problem. Reducing the dimensionality of such a problem. accompanied by the partial determination of the optimal solution, should prove helpful in the quest for an analytic solution to the aforementioned problem. In the meantime, reducing dimensionality greatly decreases the effort involved in solution by trial and error. Examples of the two applications are provided. t l t may be assumed without loss of generality that both CL and C, never equal zero, since it is always possible to appropriately perturb the costs c,, and c',,.

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