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An approximating algorithm for an optimum aim‐points problem

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  • Sidney I. Firstman

Abstract

This paper describes the development and employment of an algorithm that obtains approximate solutions in integers to the problem of assigning weapons to aim points within a target complex so as to minimize the expected target value remaining after the attack. The target complex contains two or more independent targets located such that (a) a nuclear weapon aimed at one target has a nonzero probability of also destroying another target in the complex, (b) a nuclear weapon directed between two or more targets has a nonzero probability of destroying more than one of the targets, or (c) both conditions exist. Also discussed is the extension of the basic technique to the problem of finding the marginal return per weapon allocated. Then, with a dynamic‐programming formulation, a method of solving the larger problem of optimum allocation of a stockpile of weapons over a set of target complexes is demonstrated. This broader allocation uses the results of the algorithm. The algorithm and several useful subroutines have been programmed fox the IBM‐704 computer.

Suggested Citation

  • Sidney I. Firstman, 1960. "An approximating algorithm for an optimum aim‐points problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 7(2), pages 151-167, June.
    • Handle: RePEc:wly:navlog:v:7:y:1960:i:2:p:151-167
    DOI: 10.1002/nav.3800070205
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