1963
DOI: 10.1287/opre.11.3.368
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The Multi-Index Problem

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 a… Show more

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Cited by 79 publications
(36 citation statements)
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“…Hence transportation cost varies with each data item. This work tries to address this concern by adapting a multi-commodity [17,18,19] based approach. In this work, the virtual resources are the commodities to be transported.…”
Section: Figure 3 Data Sharing Modelmentioning
confidence: 99%
“…Hence transportation cost varies with each data item. This work tries to address this concern by adapting a multi-commodity [17,18,19] based approach. In this work, the virtual resources are the commodities to be transported.…”
Section: Figure 3 Data Sharing Modelmentioning
confidence: 99%
“….. 7 Haley (1962Haley ( , 1963 and Pierskalla (1968) Koopmans and Beckmann (1957) also formulated this problem, and later Gilmore (1962), Lawler (1975), Land (1963, Hillier and Connors (1967), Bowman et al (1971), Pierce and Crowston (1971), Gerrard (1976, 1979) and Los (1978) "* carried out further work on quadratic assignment problems (QAP).…”
Section: Chapter II Previous Related Work In Computer Aided Layoutmentioning
confidence: 99%
“…Minimizing a linear function subject to (1)-(4) is called a three-index transportation problem over T (A, B, C). Examples above can be found in ScheU (I 955), Haley (1962Haley ( , 1963, Schmid (1966), Junginger (1972) and Raskin-Kiri~enko (1982).…”
mentioning
confidence: 95%