Applying an Extended Guided Local Search to the Quadratic Assignment Problem

In this paper, we show how an extended Guided Local Search (GLS) can be applied to the Quadratic Assignment Problem (QAP). GLS is a general, penalty-based meta-heuristic, which sits on top of local search algorithms, to help guide them out of local minima. We present empirical results of applying several extended versions of GLS to the QAP, and show that these extensions can improve the range of parameter settings within which Guided Local Search performs well. Finally, we compare the results of running our extended GLS with some state of the art algorithms for the QAP.

[1]  Panos M. Pardalos,et al.  The Quadratic Assignment Problem: A Survey and Recent Developments , 1993, Quadratic Assignment and Related Problems.

[2]  Christos Voudouris Solving the Radio Link Frequency Assignment Problem using Guided Local Search , 2001 .

[3]  Bjarne Stroustrup,et al.  C++ Programming Language , 1986, IEEE Softw..

[4]  Heekuck Oh,et al.  Neural Networks for Pattern Recognition , 1993, Adv. Comput..

[5]  Roberto Battiti,et al.  The Reactive Tabu Search , 1994, INFORMS J. Comput..

[6]  Edward P. K. Tsang,et al.  Guided Local Search for Solving SAT and Weighted MAX-SAT Problems , 2000, Journal of Automated Reasoning.

[7]  É. Taillard COMPARISON OF ITERATIVE SEARCHES FOR THE QUADRATIC ASSIGNMENT PROBLEM. , 1995 .

[8]  Fred W. Glover,et al.  Tabu Search - Part I , 1989, INFORMS J. Comput..

[9]  T. L. Ward,et al.  Solving Quadratic Assignment Problems by ‘Simulated Annealing’ , 1987 .

[10]  Edward P. K. Tsang,et al.  Fast local search and guided local search and their application to British Telecom's workforce scheduling problem , 1997, Oper. Res. Lett..

[11]  Franz Rendl,et al.  QAPLIB – A Quadratic Assignment Problem Library , 1997, J. Glob. Optim..

[12]  Charles Fleurent,et al.  Genetic Hybrids for the Quadratic Assignment Problem , 1993, Quadratic Assignment and Related Problems.

[13]  Edward Tsang,et al.  A Generic Neural Network Approach For Constraint Satisfaction Problems , 1992 .

[14]  Fred Glover,et al.  Tabu Search - Part II , 1989, INFORMS J. Comput..

[15]  F. Aida,et al.  Max{min Ant System for Quadratic Assignemnt Problems Max{min Ant System for Quadratic Assignment Problems , 1997 .

[16]  Shara Amin Simulated Jumping , 1999, Ann. Oper. Res..

[17]  É. Taillard,et al.  Adaptive memories for the Quadratic Assignment Problems , 1997 .

[18]  C. Voudouris,et al.  Guided Local Search — an Illustrative Example in Function Optimisation , 1998 .

[19]  Patrick Prosser,et al.  Guided Local Search for the Vehicle Routing Problem , 1997 .

[20]  Edward P. K. Tsang,et al.  Guided local search and its application to the traveling salesman problem , 1999, Eur. J. Oper. Res..

[21]  Andrew J. Davenport,et al.  GENET: A Connectionist Architecture for Solving Constraint Satisfaction Problems by Iterative Improvement , 1994, AAAI.

[22]  Éric D. Taillard,et al.  Robust taboo search for the quadratic assignment problem , 1991, Parallel Comput..

[23]  K. E.P.,et al.  SOLVING THE RADIO LINK FREQUENCY ASSIGNMENT PROBLEM WITH THE GUIDED GENETIC ALGORITHM , 1998 .

[24]  Edward P. K. Tsang,et al.  Solving the Processor Configuration Problems with a Mutation-Based Genetic Algorithm , 1997, Int. J. Artif. Intell. Tools.

[25]  Edward P. K. Tsang,et al.  Applying a mutation-based genetic algorithm to processor configuration problems , 1996, Proceedings Eighth IEEE International Conference on Tools with Artificial Intelligence.

[26]  Edward P. K. Tsang,et al.  The guided genetic algorithm and its application to the generalized assignment problem , 1998, Proceedings Tenth IEEE International Conference on Tools with Artificial Intelligence (Cat. No.98CH36294).

[27]  Edward P. K. Tsang,et al.  Solving large processor configuration problems with the guided genetic algorithm , 1998, Proceedings Tenth IEEE International Conference on Tools with Artificial Intelligence (Cat. No.98CH36294).

[28]  Edward P. K. Tsang,et al.  Guided Genetic Algorithm and its Application to Radio Link Frequency Assignment Problems , 2001, Constraints.

[29]  Bart Selman,et al.  Noise Strategies for Improving Local Search , 1994, AAAI.