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A process for determining priorities and weights for large-scale linear goal programmes. (English) Zbl 0598.90055
Many planning models can be formulated as large-scale linear goal- programming problems in which the analyst and user must establish thousands of objective-function weights that reflect the priorities of the many goals. How to select such weights so as to have the resulting optimal solution be a suitable compromise solution is the main focus of this paper. We first describe the problem setting that gave rise to the need, here military personnel planning, and then a process by which a set of goal priorities and objective-function weights can be developed using Saaty’s analytic hierarchy process.
MSC:
90B50Management decision making, including multiple objectives
90C06Large-scale problems (mathematical programming)