Optimal Weapon Allocation with Overlapping Area Defenses

Gershon G. Furman and Harvey J. Greenberg
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Gershon G. Furman: Stanford Research Institute, Menlo Park, California
Harvey J. Greenberg: Southern Methodist University, Dallas, Texas

Operations Research, 1973, vol. 21, issue 6, 1291-1308

Abstract: We present a strategy for finding an optimal allocation of weapons to maximize the expected damage of a given collection of targets. In our scenario the area defenses can overlap, and we allow more than one weapon type. We show how the generalized Lagrange-multiplier method can be used effectively by exploiting certain graph structure when maximizing the Lagrangian.

Date: 1973
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