Hybridizing variable neighborhood search with ant colony optimization for solving the single row facility layout problem

被引:87
作者
Guan, Jian [1 ]
Lin, Geng [2 ]
机构
[1] Minjiang Univ, Modern Educ Technol Ctr, Fuzhou 350121, Peoples R China
[2] Minjiang Univ, Dept Math, Fuzhou 350121, Peoples R China
基金
中国国家自然科学基金;
关键词
Metaheuristics; Ant colony optimization; Single row facility layout problem; Variable neighborhood search; Evolutionary computations; DIMENSIONAL SPACE ALLOCATION; FLEXIBLE MANUFACTURING SYSTEMS; GENETIC ALGORITHM; ASSIGNMENT;
D O I
10.1016/j.ejor.2015.08.014
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, a hybrid algorithm based on variable neighborhood search and ant colony optimization is proposed to solve the single row facility layout problem. In the proposed algorithm, three neighborhood structures are utilized to enhance the exploitation ability. Meanwhile, new gain techniques are developed to reduce the mathematical calculations of the objective function values. Furthermore, ant colony optimization as the shaking step is used to avoid being stuck at the local optima. In addition, a novel pheromone updating rule has been proposed based on both the best and worst solutions of the ants. A reverse criterion based on edit distance measure is applied to help ants to converge to the best solution and reduce the solution space. Finally, numerical simulation is carried out based on the benchmark instances, and the comparisons with some existing algorithms demonstrate the effectiveness of the proposed algorithm. (C) 2015 Elsevier B.V. and Association of European Operational Research Societies (EURO) within the International Federation of Operational Research Societies (IFORS). All rights reserved.
引用
收藏
页码:899 / 909
页数:11
相关论文
共 39 条
[1]  
Amaral A. R. S., 2008, ENHANCED LOCAL SEARC
[2]   An exact approach to the one-dimensional facility layout problem [J].
Amaral, Andre R. S. .
OPERATIONS RESEARCH, 2008, 56 (04) :1026-1033
[3]   A polyhedral approach to the single row facility layout problem [J].
Amaral, Andre R. S. ;
Letchford, Adam N. .
MATHEMATICAL PROGRAMMING, 2013, 141 (1-2) :453-477
[4]   A new lower bound for the single row facility layout problem [J].
Amaral, Andre R. S. .
DISCRETE APPLIED MATHEMATICS, 2009, 157 (01) :183-190
[5]   On the exact solution of a facility layout problem [J].
Amaral, ARS .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2006, 173 (02) :508-518
[6]  
Anjos M.F., 2005, Discrete Optimization, V2, P113, DOI [10.1016/j.disopt.2005.03.001., DOI 10.1016/J.DISOPT.2005.03.001]
[7]   Computing Globally Optimal Solutions for Single-Row Layout Problems Using Semidefinite Programming and Cutting Planes [J].
Anjos, Miguel F. ;
Vannelli, Anthony .
INFORMS JOURNAL ON COMPUTING, 2008, 20 (04) :611-617
[8]   Provably near-optimal solutions for very large single-row facility layout problems [J].
Anjos, Miguel F. ;
Yen, Ginger .
OPTIMIZATION METHODS & SOFTWARE, 2009, 24 (4-5) :805-817
[9]  
BEGHINPICAVET M, 1982, RAIRO-RECH OPER, V16, P263
[10]   A variable neighborhood search approach for planning and scheduling of jobs on unrelated parallel machines [J].
Bilyk, Andrew ;
Moench, Lars .
JOURNAL OF INTELLIGENT MANUFACTURING, 2012, 23 (05) :1621-1635