A Branch and Bound Algorithm for the Cell Formation Problem

被引:1
作者
Utkina, Irina [1 ]
Batsyn, Mikhail [1 ]
机构
[1] Natl Res Univ, Lab Algorithms & Technol Networks Anal, Higher Sch Econ, 136 Rodionova Str, Nizhnii Novgorod, Russia
来源
MODELS, ALGORITHMS AND TECHNOLOGIES FOR NETWORK ANALYSIS, NET 2014 | 2016年 / 156卷
关键词
Cell formation problem; Branch and bound algorithm; NP-hard problems; Combinatorial optimization; Upper bound; Exact solution; SIMILARITY COEFFICIENT METHOD; GROUP-TECHNOLOGY; MATRICES;
D O I
10.1007/978-3-319-29608-1_7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The cell formation problem (CFP) is an NP-hard optimization problem considered for cell manufacturing systems. Because of its high computational complexity several heuristics have been developed for solving this problem. In this paper we present a branch and bound algorithm which provides exact solutions of the CFP. This algorithm finds optimal solutions for 13 problems of the 35 popular benchmark instances from the literature.
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页码:115 / 124
页数:10
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