An Application of Z-Matrices to a Class of Resource Allocation Problems

Arie Tamir
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Arie Tamir: Tel-Aviv University

Management Science, 1976, vol. 23, issue 3, 317-323

Abstract: This study focuses on allocation problems that have some of their constraints defined in terms of Leontief input-output matrices, known as Z-matrices. A few properties of these matrices are discussed and then applied to achieve a possible reduction in the dimensionality of the resource allocation models. An allocation problem of the above nature is the subject of the recent work of Luss and Gupta [Luss, M., S. K. Gupta. 1974. Allocation of marketing effort among P substitutional products in N territories. Oper. Res. Quart. 25 77-88.], who were concerned about optimal allocation of marketing efforts among substitutional products distributed in different sales territories. The reduction procedure is then applied to their model to yield several extensions.

Date: 1976
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:23:y:1976:i:3:p:317-323

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