Fuzzy multilevel programming with a hybrid intelligent algorithm

被引：57

作者：

Gao, JW ^{[1
]}

Liu, BD ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Math Sci, Uncertainty Theory Lab, Beijing 100084, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 9-10期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

multilevel programming; fuzzy programming; genetic algorithm; neural network;

D O I：

10.1016/j.camwa.2004.07.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to model fuzzy decentralized decision-making problem, fuzzy expected value multilevel programming and chance-constrained multilevel programming are introduced. Furthermore, fuzzy simulation, neural network, and genetic algorithm are integrated to produce a hybrid intelligent algorithm for finding the Stackelberg-Nash equilibrium. Finally, two numerical examples are provided to illustrate the effectiveness of the hybrid intelligent algorithm. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1539 / 1548

页数：10

共 31 条

[1] Determining optimal pollution control policies: An application of bilevel programming [J].

Amouzegar, MA ;

Moshirvaziri, K .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 119 (01) :100-120

[2]

[Anonymous], 1989, MATH CONTROL SIGNALS

[3] A bilevel programming approach to determining tax credits for biofuel production [J].

Bard, JF ;

Plummer, J ;

Sourie, JC .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2000, 120 (01) :30-46

[4] A BRANCH AND BOUND ALGORITHM FOR THE BILEVEL PROGRAMMING PROBLEM [J].

BARD, JF ;

MOORE, JT .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1990, 11 (02) :281-292

[5] COMPUTATIONAL DIFFICULTIES OF BILEVEL LINEAR-PROGRAMMING [J].

BENAYED, O ;

BLAIR, CE .

OPERATIONS RESEARCH, 1990, 38 (03) :556-560

[6] 2-LEVEL LINEAR-PROGRAMMING [J].

BIALAS, WF ;

KARWAN, MH .

MANAGEMENT SCIENCE, 1984, 30 (08) :1004-1020

[7] METHOD FOR SOLVING MATHEMATICAL PROGRAMS WITH NONLINEAR PROGRAMS IN CONSTRAINTS [J].

BRACKEN, J ;

MCGILL, JT .

OPERATIONS RESEARCH, 1974, 22 (05) :1097-1101

[8] MATHEMATICAL PROGRAMS WITH OPTIMIZATION PROBLEMS IN CONSTRAINTS [J].

BRACKEN, J ;

MCGILL, JT .

OPERATIONS RESEARCH, 1973, 21 (01) :37-44

[9] THE POTENTIAL ROLE OF MULTILEVEL PROGRAMMING IN AGRICULTURAL-ECONOMICS [J].

CANDLER, W ;

FORTUNYAMAT, J ;

MCCARL, B .

AMERICAN JOURNAL OF AGRICULTURAL ECONOMICS, 1981, 63 (03) :521-531

[10] A LINEAR 2-LEVEL PROGRAMMING PROBLEM [J].

CANDLER, W ;

TOWNSLEY, R .

COMPUTERS & OPERATIONS RESEARCH, 1982, 9 (01) :59-76

← 1 2 3 4 →