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

Jacob Intrator and Abraham Engelberg

Naval Research Logistics Quarterly, 1980, vol. 27, issue 2, 297-313

Abstract: 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.

Date: 1980
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https://doi.org/10.1002/nav.3800270213

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:27:y:1980:i:2:p:297-313

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