A new linearization technique for multi-quadratic 0-1 programming problems

被引:50
作者
Chaovalitwongse, W [1 ]
Pardalos, PM [1 ]
Prokopyev, OA [1 ]
机构
[1] Univ Florida, Dept Ind & Syst Engn, Ctr Appl Optimizat, Gainesville, FL 32611 USA
关键词
quadratic; 0-1; programming; multi-quadratic; linear mixed 0-1 programming; linearization;
D O I
10.1016/j.orl.2004.03.005
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We consider the reduction of multi-quadratic 0-1 programming problems to linear mixed 0-1 programming problems. In this reduction, the number of additional continuous variables is O(kn) (n is the number of initial 0-1 variables and k is the number of quadratic constraints). The number of 0-1 variables remains the same. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:517 / 522
页数:6
相关论文
共 15 条
[1]   LINEARIZATION STRATEGIES FOR A CLASS OF ZERO-ONE MIXED INTEGER PROGRAMMING-PROBLEMS [J].
ADAMS, WP ;
SHERALI, HD .
OPERATIONS RESEARCH, 1990, 38 (02) :217-226
[2]  
Floudas C. A., 1995, Handbook of global optimization, P217, DOI 10.1007/978-1-4615-2025-2_5
[3]   CONVERTING 0-1 POLYNOMIAL PROGRAMMING PROBLEM TO A 0-1 LINEAR PROGRAM [J].
GLOVER, F ;
WOOLSEY, E .
OPERATIONS RESEARCH, 1974, 22 (01) :180-182
[4]   FURTHER REDUCTION OF ZERO-ONE POLYNOMIAL PROGRAMMING PROBLEMS TO ZERO-ONE LINEAR PROGRAMMING PROBLEMS [J].
GLOVER, F ;
WOOLSEY, E .
OPERATIONS RESEARCH, 1973, 21 (01) :156-161
[5]  
Hansen P., 1979, Discrete Optimisation, P53
[6]  
Horst R., 1995, INTRO GLOBAL OPTIMIZ
[7]   Prediction of human epileptic seizures based on optimization and phase changes of brain electrical activity [J].
Iasemidis, LD ;
Pardalos, PM ;
Shiau, DS ;
Chaovalitwongse, W ;
Narayanan, K ;
Kumar, S ;
Carney, PR ;
Sackellares, JC .
OPTIMIZATION METHODS & SOFTWARE, 2003, 18 (01) :81-104
[8]   Quadratic binary programming and dynamical system approach to determine the predictability of epileptic seizures [J].
Iasemidis, LD ;
Pardalos, P ;
Sackellares, JC ;
Shiau, DS .
JOURNAL OF COMBINATORIAL OPTIMIZATION, 2001, 5 (01) :9-26
[9]  
Pardalos P. M., 1990, Annals of Operations Research, V22, P271, DOI 10.1007/BF02023057
[10]   GRAPH SEPARATION TECHNIQUES FOR QUADRATIC ZERO-ONE PROGRAMMING [J].
PARDALOS, PM ;
JHA, S .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 21 (6-7) :107-113