A study of two evolutionary/tabu search approaches for the generalized max-mean dispersion problem

Abstract Evolutionary computing is a general and powerful framework for solving difficult optimization problems, including those arising in expert and intelligent systems. In this work, we investigate for the first time two hybrid evolutionary algorithms incorporating tabu search for solving the generalized max-mean dispersion problem (GMaxMeanDP) which has a variety of practical applications such as web page ranking, community mining, and trust networks. The proposed algorithms integrate innovative search strategies that help the search to explore the search space effectively. We report extensive computational results of the proposed algorithms on six types of 160 benchmark instances, demonstrating their effectiveness and usefulness. In addition to the GMaxMeanDP, the proposed algorithms can help to better solve other problems that can be formulated as the GMaxMeanDP.

[1]  João Gama,et al.  An evolutionary algorithm for clustering data streams with a variable number of clusters , 2017, Expert Syst. Appl..

[2]  Oleg A. Prokopyev,et al.  The equitable dispersion problem , 2009, Eur. J. Oper. Res..

[3]  Fred W. Glover,et al.  Effective metaheuristic algorithms for the minimum differential dispersion problem , 2017, Eur. J. Oper. Res..

[4]  Wangtu Xu,et al.  The Memetic algorithm for the optimization of urban transit network , 2015, Expert Syst. Appl..

[5]  Jack Brimberg,et al.  Less is more: Solving the Max-Mean diversity problem with variable neighborhood search , 2017, Inf. Sci..

[6]  Nenad Mladenovic,et al.  Less is more: Basic variable neighborhood search for minimum differential dispersion problem , 2016, Inf. Sci..

[7]  Francisco Gortázar,et al.  Tabu search for the Max-Mean Dispersion Problem , 2015, Knowl. Based Syst..

[8]  F. Glover,et al.  Heuristic algorithms for the maximum diversity problem , 1998 .

[9]  Gintaras Palubeckis,et al.  Iterated tabu search for the maximum diversity problem , 2007, Appl. Math. Comput..

[10]  Jin-Kao Hao,et al.  Breakout Local Search for the Max-Cutproblem , 2013, Eng. Appl. Artif. Intell..

[11]  Roberto Cordone,et al.  Construction and improvement algorithms for dispersion problems , 2015, Eur. J. Oper. Res..

[12]  Zhipeng Lü,et al.  A tabu search based hybrid evolutionary algorithm for the max-cut problem , 2015, Appl. Soft Comput..

[13]  Shahryar Rahnamayan,et al.  Opposition based learning: A literature review , 2017, Swarm Evol. Comput..

[14]  Fred W. Glover,et al.  Diversification-based learning in computing and optimization , 2017, J. Heuristics.

[15]  Jin-Kao Hao,et al.  An iterated local search algorithm for the minimum differential dispersion problem , 2017, Knowl. Based Syst..

[16]  Jin-Kao Hao,et al.  Memetic search for the quadratic assignment problem , 2015, Expert Syst. Appl..

[17]  Dong Yue,et al.  Intensification-driven tabu search for the minimum differential dispersion problem , 2019, Knowl. Based Syst..

[18]  Yang Wang,et al.  An effective iterated tabu search for the maximum bisection problem , 2017, Comput. Oper. Res..

[19]  Paul Van Dooren,et al.  The PageTrust Algorithm: How to rank web pages when negative links are allowed? , 2008, SDM.

[20]  Michele Garraffa,et al.  A hybrid three-phase approach for the Max-Mean Dispersion Problem , 2016, Comput. Oper. Res..

[21]  Dong Yue,et al.  Solution-based tabu search for the maximum min-sum dispersion problem , 2018, Inf. Sci..

[22]  Micael Gallego,et al.  GRASP and path relinking for the max-min diversity problem , 2010, Comput. Oper. Res..

[23]  Hassan Ismkhan Effective three-phase evolutionary algorithm to handle the large-scale colorful traveling salesman problem , 2017, Expert Syst. Appl..

[24]  Jin-Kao Hao,et al.  A tabu search based memetic algorithm for the max-mean dispersion problem , 2016, Comput. Oper. Res..

[25]  Pierre Hansen,et al.  MaxMinMin p-dispersion problem: A variable neighborhood search approach , 2014, Comput. Oper. Res..

[26]  Jin-Kao Hao,et al.  A hybrid metaheuristic method for the Maximum Diversity Problem , 2013, Eur. J. Oper. Res..

[27]  Michele Garraffa,et al.  An exact semidefinite programming approach for the max-mean dispersion problem , 2017, J. Comb. Optim..

[28]  Philippe Galinier,et al.  An efficient memetic algorithm for the graph partitioning problem , 2011, Ann. Oper. Res..

[29]  Manuel Laguna,et al.  Tabu Search , 1997 .

[30]  Tania Cerquitelli,et al.  Optimization of computer aided detection systems: An evolutionary approach , 2018, Expert Syst. Appl..

[31]  Roberto Cordone,et al.  Comparing local search metaheuristics for the maximum diversity problem , 2011, J. Oper. Res. Soc..

[32]  Nenad Mladenovic,et al.  Solving the maximum min-sum dispersion by alternating formulations of two different problems , 2017, Eur. J. Oper. Res..

[33]  Gilbert Syswerda,et al.  Uniform Crossover in Genetic Algorithms , 1989, ICGA.

[34]  Rafael Martí,et al.  GRASP and path relinking for the equitable dispersion problem , 2013, Comput. Oper. Res..

[35]  Boulevard Lavoisier,et al.  Breakout Local Search for the Max-Cut Problem , 2014 .

[36]  Jiming Liu,et al.  Community Mining from Signed Social Networks , 2007, IEEE Transactions on Knowledge and Data Engineering.

[37]  Federico Della Croce,et al.  A heuristic approach for the max-min diversity problem based on max-clique , 2009, Comput. Oper. Res..

[38]  Fred W. Glover,et al.  A simple and effective algorithm for the MaxMin diversity problem , 2011, Ann. Oper. Res..

[39]  Ujjwal Maulik,et al.  Recursive Memetic Algorithm for gene selection in microarray data , 2019, Expert Syst. Appl..

[40]  Fred W. Glover,et al.  A Template for Scatter Search and Path Relinking , 1997, Artificial Evolution.