A QUADRATICALLY CONVERGENT GLOBAL ALGORITHM FOR THE LINEARLY-CONSTRAINED MINIMUM CROSS-ENTROPY PROBLEM

被引:4
作者
FANG, SC
TSAO, HSJ
机构
[1] N CAROLINA STATE UNIV,OPERAT RES PROGRAM,RALEIGH,NC 27695
[2] N CAROLINA STATE UNIV,DEPT IND ENGN,RALEIGH,NC 27695
[3] UNIV CALIF BERKELEY,INST TRANSPORTAT STUDIES,BERKELEY,CA 94720
关键词
ENTROPY OPTIMIZATION; DUALITY; UNCONSTRAINED OPTIMIZATION; CURVED-SEARCH ALGORITHM;
D O I
10.1016/0377-2217(94)90365-4
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we propose a curved-search algorithm for solving the cross-entropy minimization problem with linear equality constrains. The proposed algorithm converges globally to a dual optimal solution with a quadratic rate of convergence. A dual-to-primal conversion formula is provided. We also analyze the computational effort required for the algorithm and report our computational experience.
引用
收藏
页码:369 / 378
页数:10
相关论文
共 38 条
[2]  
Bazaraa MS, 1979, NONLINEAR PROGRAMMIN
[3]  
Ben-Tal A., 1990, Optimization, V21, P669, DOI 10.1080/02331939008843594
[4]  
BENTAL A, 1979, PROBLEMS CONTROL INF, V8, P387
[5]  
Bregman L. M., 1967, USSR COMP MATH MATH, V7, P200, DOI DOI 10.1016/0041-5553(67)90040-7
[6]  
CENSOR Y, 1986, LINEAR ALGEBRA APPL, V80, P191
[7]  
Dennis J.E., 1983, NUMERICAL METHODS UN
[8]   EXTERNAL ZONES IN TRIP DISTRIBUTION MODELS - CHARACTERIZATION AND SOLVABILITY [J].
DINKEL, JJ ;
WONG, D .
TRANSPORTATION SCIENCE, 1984, 18 (03) :253-266
[9]   CONSTRAINED ENTROPY MODELS - SOLVABILITY AND SENSITIVITY [J].
DINKEL, JJ ;
KOCHENBERGER, GA .
MANAGEMENT SCIENCE, 1979, 25 (06) :555-564
[10]   ENTROPY MAXIMIZATION AND GEOMETRIC PROGRAMMING [J].
DINKEL, JJ ;
KOCHENBERGER, GA ;
WONG, SN .
ENVIRONMENT AND PLANNING A, 1977, 9 (04) :419-427