An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem

An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem

An equilibrium chance-constrained multiobjective programming model with birandom parameters is proposed. A type of linear model is converted into its crisp equivalent model. Then a birandom simulation technique is developed to tackle the general birandom objective functions and birandom constraints....

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Bibliographic Details
Main Authors: Zhimiao Tao, Jiuping Xu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/382620
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spelling doaj-077985c0ddc54e3da70a4b1a2b5c9b852020-11-24T22:34:41ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/382620382620An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory ProblemZhimiao Tao0Jiuping Xu1Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, ChinaUncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, ChinaAn equilibrium chance-constrained multiobjective programming model with birandom parameters is proposed. A type of linear model is converted into its crisp equivalent model. Then a birandom simulation technique is developed to tackle the general birandom objective functions and birandom constraints. By embedding the birandom simulation technique, a modified genetic algorithm is designed to solve the equilibrium chance-constrained multiobjective programming model. We apply the proposed model and algorithm to a real-world inventory problem and show the effectiveness of the model and the solution method.http://dx.doi.org/10.1155/2013/382620
collection DOAJ
language English
format Article
sources DOAJ
author Zhimiao Tao
Jiuping Xu
spellingShingle Zhimiao Tao
Jiuping Xu
An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem
Journal of Applied Mathematics
author_facet Zhimiao Tao
Jiuping Xu
author_sort Zhimiao Tao
title An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem
title_short An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem
title_full An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem
title_fullStr An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem
title_full_unstemmed An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem
title_sort equilibrium chance-constrained multiobjective programming model with birandom parameters and its application to inventory problem
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description An equilibrium chance-constrained multiobjective programming model with birandom parameters is proposed. A type of linear model is converted into its crisp equivalent model. Then a birandom simulation technique is developed to tackle the general birandom objective functions and birandom constraints. By embedding the birandom simulation technique, a modified genetic algorithm is designed to solve the equilibrium chance-constrained multiobjective programming model. We apply the proposed model and algorithm to a real-world inventory problem and show the effectiveness of the model and the solution method.
url http://dx.doi.org/10.1155/2013/382620
work_keys_str_mv AT zhimiaotao anequilibriumchanceconstrainedmultiobjectiveprogrammingmodelwithbirandomparametersanditsapplicationtoinventoryproblem
AT jiupingxu anequilibriumchanceconstrainedmultiobjectiveprogrammingmodelwithbirandomparametersanditsapplicationtoinventoryproblem
AT zhimiaotao equilibriumchanceconstrainedmultiobjectiveprogrammingmodelwithbirandomparametersanditsapplicationtoinventoryproblem
AT jiupingxu equilibriumchanceconstrainedmultiobjectiveprogrammingmodelwithbirandomparametersanditsapplicationtoinventoryproblem
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