Determining Basic Variables of Optimal Solutions in Karmarkar's New LP Algorithm

被引:12
|
作者
Kojima, Masakazu [1 ]
机构
[1] Tokyo Inst Technol, Dept Informat Sci, Meguro Ku, Tokyo 152, Japan
关键词
Linear program; Karmarkar's algorithm; Optimal basis;
D O I
10.1007/BF01840459
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This paper establishes a sufficient condition for a variable of a linear program to be positive at all optimal solutions. A numerical test using the condition is incorporated into Karmarkar's new LP algorithm to determine columns of optimal basis. Experimental results on the test are also reported.
引用
收藏
页码:499 / 515
页数:17
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