An Application of <i>Z</i>-Matrices to a Class of Resource Allocation Problems

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.

• 저널Management Science · 23(3) · 317–323
• 토픽Iterative Methods for Nonlinear Equations · Numerical Analysis
• DOI10.1287/mnsc.23.3.317
• 저자Arie Tamir