Discrete Optimizing Solution Procedures for Linear and Nonlinear Integer Programming Problems

Stanley Reiter and Donald B. Rice
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Donald B. Rice: Purdue University

Management Science, 1966, vol. 12, issue 11, 829-850

Abstract: We present a method for approximating the solution of mixed integer non-concave programming problems in bounded variables. We present computational results for 39 test problems which suggest that the procedure offers a practical useful way of approximating solutions of programming problems of the type tested. We have also discovered an apparent regularity in the distribution of local optima generated by the method; the method seems to generate Beta distributions in all problems for which results are available. This suggests interesting opportunities for further exploration.

Date: 1966
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