L-SHAPED LINEAR PROGRAMS WITH APPLICATIONS TO OPTIMAL CONTROL AND STOCHASTIC PROGRAMMING

被引:767
作者
VANSLYKE, RM
WETS, R
机构
关键词
D O I
10.1137/0117061
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Description of cutting hyperplane algorithm which is shown to be equivalent to a partial decomposition algorithm of the dual program. Applications of the curring hyperplane algorithm to a linear optimal control problem and stochastic programming problem.
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页码:638 / +
页数:1
相关论文
共 31 条
[1]  
BALINTFY J, 1965, SIMULATION BASIS STA
[2]  
BARR RO, 1966, THESIS U MICHIGAN
[3]  
BENDERS JF, 1962, NUMER MATH, V4, P238, DOI [DOI 10.1007/S10287-004-0020-Y, 10.1007/BF01386316, DOI 10.1007/BF01386316]
[4]  
Cheney EW., 1959, NUMER MATH, V1, P253
[5]   THE DECOMPOSITION ALGORITHM FOR LINEAR-PROGRAMS [J].
DANTZIG, GB ;
WOLFE, P .
ECONOMETRICA, 1961, 29 (04) :767-778
[6]  
Dantzig GB., 1965, LINEAR PROGRAMMING E
[7]  
DANTZIG GB, 1961, 4TH P BERK S MATH ST, V1, P165
[8]  
DANTZIG GB, 1966, SIAM J CONTROL, V4, P56
[9]  
FLEMING WH, 1965, FUNCTIONS SEVERAL VA, P93660
[10]  
Frank M., 1956, NAV RES LOGIST Q, V3, P95, DOI 10.1002/nav.3800030109