Hybrid Estimation of Distribution Algorithm for solving Single Row Facility Layout Problem

The layout positioning problem of facilities on a straight line is known as Single Row Facility Layout Problem (SRFLP). The objective of SRFLP, categorized as NP Complete problem, is to arrange the layout so that the sum of distances between all facilities' pairs can be minimized. Estimation of Distribution Algorithm (EDA) efficiently improves the solution quality in first few runs, but the diversity loss grows rapidly as more iterations are run. To maintain the diversity, hybridization with metaheuristic algorithms is needed. This research proposes Hybrid Estimation of Distribution Algorithm (EDAhybrid), an algorithm which consists of hybridization of EDA, Particle Swarm Optimization (PSO), and Tabu Search. Another hybridization algorithm, extended Artificial Chromosomes Genetic Algorithm (eACGA), is also built as benchmark. EDAhybrid's performance is tested in 15 benchmark problems of SRFLP and it successfully achieves optimum solution. Moreover, the mean error rates of EDAhybrid always get the lowest value compared to other algorithms. SRFLP can be enhanced by considering more constraints, so it becomes enhanced SRFLP. Computational results show that EDAhybrid can also solve Enhanced SRFLP effectively. Therefore, we can conclude that EDAhybrid is a promising metaheuristic algorithm which can be used to solve the basic and enhanced SRFLP.

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

[2]  Dileep R. Sule,et al.  Manufacturing facilities : location, planning, and design , 1988 .

[3]  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).

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

[5]  James Kennedy,et al.  Defining a Standard for Particle Swarm Optimization , 2007, 2007 IEEE Swarm Intelligence Symposium.

[6]  Randy L. Haupt,et al.  Practical Genetic Algorithms , 1998 .

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

[8]  Martin Pelikan,et al.  An introduction and survey of estimation of distribution algorithms , 2011, Swarm Evol. Comput..

[9]  Farrokh Neghabat,et al.  An Efficient Equipment-Layout Algorithm , 1974, Oper. Res..

[10]  Pedro Larrañaga,et al.  Combining variable neighborhood search and estimation of distribution algorithms in the protein side chain placement problem , 2007, J. Heuristics.

[11]  Saad H.S. Al-Jibouri,et al.  Proposed genetic algorithms for construction site layout , 2003 .

[12]  Henri Pierreval,et al.  Facility layout problems: A survey , 2007, Annu. Rev. Control..

[13]  Pei-Chann Chang,et al.  Extended artificial chromosomes genetic algorithm for permutation flowshop scheduling problems , 2012, Comput. Ind. Eng..

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

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

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

[17]  Pedro Larrañaga,et al.  Towards a New Evolutionary Computation - Advances in the Estimation of Distribution Algorithms , 2006, Towards a New Evolutionary Computation.

[18]  Pei-Chann Chang,et al.  Artificial chromosomes embedded in genetic algorithm for a chip resistor scheduling problem in minimizing the makespan , 2009, Expert Syst. Appl..

[19]  Christine M. Anderson-Cook Practical Genetic Algorithms (2nd ed.) , 2005 .

[20]  J. A. Lozano,et al.  Towards a New Evolutionary Computation: Advances on Estimation of Distribution Algorithms (Studies in Fuzziness and Soft Computing) , 2006 .

[21]  Nitin V. Afzulpurkar,et al.  Optimization of tile manufacturing process using particle swarm optimization , 2011, Swarm Evol. Comput..

[22]  Russell C. Eberhart,et al.  Swarm intelligence for permutation optimization: a case study of n-queens problem , 2003, Proceedings of the 2003 IEEE Swarm Intelligence Symposium. SIS'03 (Cat. No.03EX706).

[23]  David E. Goldberg,et al.  A Survey of Optimization by Building and Using Probabilistic Models , 2002, Comput. Optim. Appl..

[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]  Qingfu Zhang,et al.  On the convergence of a class of estimation of distribution algorithms , 2004, IEEE Transactions on Evolutionary Computation.

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

[27]  Alexander Mendiburu,et al.  A review on estimation of distribution algorithms in permutation-based combinatorial optimization problems , 2012, Progress in Artificial Intelligence.