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

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  • Arie Tamir

    (Tel-Aviv University)

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.

Suggested Citation

  • Arie Tamir, 1976. "An Application of Z-Matrices to a Class of Resource Allocation Problems," Management Science, INFORMS, vol. 23(3), pages 317-323, November.
    • Handle: RePEc:inm:ormnsc:v:23:y:1976:i:3:p:317-323
    DOI: 10.1287/mnsc.23.3.317
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