The Multi-Index Problem

K. B. Haley
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K. B. Haley: Department of Engineering Production, The University, Birmingham, England

Operations Research, 1963, vol. 11, issue 3, 368-379

Abstract: The multi-index transportation problem is defined and a summary of the algorithm described in an earlier paper is given. This paper discusses the theorems justifying the use of the algorithm and gives a necessary condition for the existence of a solution. It also describes the formulation of three special-structure linear-programming problems as examples of multi-index problems. The three problems discussed are the capacitated Hitchcock problem, transportation where there is more than one method of transport available, and the transformation of one type of multi-index problem into another. A final section describes problems that have restrictions in the form of inequalities.

Date: 1963
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:11:y:1963:i:3:p:368-379

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