A 2-approximation algorithm for the single machine due date assignment scheduling problem in fuzzy environment to minimize the total costs

被引:1
|
作者
Li Jinquan [1 ]
Zhang Jinhua [1 ]
机构
[1] Beijing Normal Univ Zhuhai, Sch Appl Math, Zhuhai, Guangdong, Peoples R China
关键词
rho-approximation algorithm; due date assignment; earliness/tardiness costs; precedence constraints; PROCESSING TIMES; TARDINESS COSTS; EARLINESS;
D O I
10.1109/CIS.2015.33
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we consider the singe machine due date assignment problems with fuzzy processing time and precedence constraints. The objective is to minimize the crisp possibilistic mean value of the total earliness-tardiness penalties. The problems is NP-hard [20]. We put forward an efficient 2-approximation algorithm for this problem based on solving a linear programming relaxation of the problem. The numerical example show the algorithm given in this paper is effective.
引用
收藏
页码:104 / 108
页数:5
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