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Some Special P-Models in Chance-Constrained Programming

A. Charnes and M. J. L. Kirby
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A. Charnes: Northwestern University
M. J. L. Kirby: Dalhousie University, Halifax, Nova Scotia

Management Science, 1967, vol. 14, issue 3, 183-195

Abstract: This paper establishes sufficient conditions for decision rules to be optimal for two n-penod P-models of chance-constrained programming. The models considered are the triangular model with total probability constraints and the block triangular model with conditional probability constraints. It is shown that, for both these models, a sufficient condition for optimality is that the decision rule be the optimal piecewise linear rule. Proofs of theorems are based on results contained in earlier papers by the authors, on n-penod E-models of chance-constrained programming.

Date: 1967
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