Tabu search for the single row facility layout problem in FMS using a 3-opt neighborhood

Since material handling agents in a FMS are most efficient when moving in straight lines, a common layout of machines in a FMS is a single row layout. This allows a floor designer to model the problem of generating an optimal machine layout in a FMS as a single row facility layout problem (SRFLP). Due to the computational complexity involved in solving the SRFLP, researchers have developed several heuristics to solve large instances of the problem. In this paper, we present a tabu search implementation based on a 3-opt neighborhood search scheme. We also present a technique to speed up the exhaustive 3-opt neighborhood search process significantly. Our computational experiments show that speed up of the 3-opt search is effective, and our tabu search implementation is competitive. The results we present here are better than the currently known best layouts for several large sized benchmark SRFLP instances, and competitive for other benchmark instances.

[1]  Andrew Kusiak,et al.  Machine Layout Problem in Flexible Manufacturing Systems , 1988, Oper. Res..

[2]  Andrew A. Kennings,et al.  A semidefinite optimization approach for the single-row layout problem with unequal dimensions , 2005, Discret. Optim..

[3]  J. Y. Wong,et al.  On Solving A One-Dimensional Space Allocation Problem With Integer Programming , 1976 .

[4]  Michel Gourgand,et al.  A new heuristic procedure for the single-row facility layout problem , 2001, Int. J. Comput. Integr. Manuf..

[5]  Miguel F. Anjos,et al.  Provably near-optimal solutions for very large single-row facility layout problems , 2009, Optim. Methods Softw..

[6]  Marcello Braglia Heuristics for single row layout problems in flexible manufacturing systems , 1997 .

[7]  Ravi Kothari,et al.  The single row facility layout problem: state of the art , 2012 .

[8]  P. Hansen,et al.  Deux problèmes d'affectation non linéaires , 1982 .

[9]  S. Heragu,et al.  Efficient models for the facility layout problem , 1991 .

[10]  P. Asokan,et al.  SCATTER SEARCH ALGORITHM FOR SINGLE ROW LAYOUT PROBLEM IN FMS , 2008 .

[11]  David Romero,et al.  Methods for the one-dimensional space allocation problem , 1990, Comput. Oper. Res..

[12]  A. Alfa,et al.  Experimental analysis of simulated annealing based algorithms for the layout problem , 1992 .

[13]  Wen-Chyuan Chiang,et al.  Optimal and Heuristic Procedures for Row Layout Problems in Automated Manufacturing Systems , 1996 .

[14]  Adam N. Letchford,et al.  A polyhedral approach to the single row facility layout problem , 2013, Math. Program..

[15]  André R. S. Amaral An Exact Approach to the One-Dimensional Facility Layout Problem , 2008, Oper. Res..

[16]  Kourosh Eshghi,et al.  An efficient tabu algorithm for the single row facility layout problem , 2010, Eur. J. Oper. Res..

[17]  Maurice Queyranne,et al.  On the One-Dimensional Space Allocation Problem , 1981, Oper. Res..

[18]  Ravi Shankar,et al.  An ant algorithm for the single row layout problem in flexible manufacturing systems , 2005, Comput. Oper. Res..

[19]  André R. S. Amaral A new lower bound for the single row facility layout problem , 2009, Discret. Appl. Math..

[20]  José Rui Figueira,et al.  Single row facility layout problem using a permutation-based genetic algorithm , 2011, Eur. J. Oper. Res..

[21]  Donald M. Simmons One-Dimensional Space Allocation: An Ordering Algorithm , 1969, Oper. Res..

[22]  Hamed Samarghandi,et al.  A Particle Swarm Optimization for the Single Row Facility Layout Problem , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

[23]  André R. S. Amaral On the exact solution of a facility layout problem , 2006, Eur. J. Oper. Res..

[24]  Anthony Vannelli,et al.  Computing Globally Optimal Solutions for Single-Row Layout Problems Using Semidefinite Programming and Cutting Planes , 2008, INFORMS J. Comput..

[25]  Wen-Chyuan Chiang,et al.  A simulated annealing procedure for single row layout problems in flexible manufacturing systems , 1992 .

[26]  K. Ravi Kumar,et al.  A heuristic procedure for the single-row facility layout problem , 1995 .