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Birandom variables and birandom programming

delete2007-10-01
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PRE
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J
Jin Peng
刘宝碇 cover
刘宝碇 (Baoding Liu) *
DOI:10.1016/j.cie.2004.11.003delete
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Abstract

Abstract

En 中文
The emphasis of this paper is to introduce a novel concept of birandom variable and to exhibit the framework of birandom programming. The so-called birandorn variable is a measurable mapping from a probability space to a collection of random variables. Based on this definition, the expected value operator of birandom variable and chance measures of birandom event are further introduced. As a generalized scenario of stochastic programming, a spectrum of birandont programming models are developed to deal with birandom systems. To solve the proposed models, birandom simulations are presented and then a hybrid intelligent algorithm is designed by embedding neural networks into genetic algorithm. Finally, some numerical experiments are provided to illustrate the effectiveness of the algorithm. (c) 2007 Elsevier Ltd. All rights reserved.
Keywords:
Stochastic programming
genetic algorithm
birandom variable
birandom programming
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Journal

Computers and Industrial Engineering cover
Computers and Industrial Engineering
IF:
6.5
Papers:
1.0W
Citations:
3.8W

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