Diversity-Driven Selection of Multiple Crossover Operators for the Capacitated Arc Routing Problem

The Capacitated Arc Routing Problem (CARP) is a NP-Hard routing problem with strong connections with real world problems. In this work we aim to enhance the performance of MAENS, a state-of-the-art algorithm, through a self-adaptive scheme to choose the most suitable operator and a diversity-driven ranking operator. Experimental results on 181 problem instances show how these techniques can both improve the results of the current state-of-the-art algorithms and provide good directions to develop EAs with a more robust approximation ratio.

[1]  Xin Yao,et al.  An Evolutionary Approach to the Multidepot Capacitated Arc Routing Problem , 2010, IEEE Transactions on Evolutionary Computation.

[2]  Philippe Lacomme,et al.  A Genetic Algorithm for the Capacitated Arc Routing Problem and Its Extensions , 2001, EvoWorkshops.

[3]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[4]  Simon M. Lucas,et al.  Parallel Problem Solving from Nature - PPSN X, 10th International Conference Dortmund, Germany, September 13-17, 2008, Proceedings , 2008, PPSN.

[5]  Kenneth A. De Jong,et al.  A Cooperative Coevolutionary Approach to Function Optimization , 1994, PPSN.

[6]  Vladimir I. Levenshtein,et al.  Binary codes capable of correcting deletions, insertions, and reversals , 1965 .

[7]  F. Wilcoxon Individual Comparisons by Ranking Methods , 1945 .

[8]  Josef Stoer,et al.  Numerische Mathematik 1 , 1989 .

[9]  Xin Yao,et al.  A Memetic Algorithm for Periodic Capacitated Arc Routing Problem , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[10]  X. Yao,et al.  An analysis of evolutionary algorithms for finding approximation solutions to hard optimisation problems , 2003, The 2003 Congress on Evolutionary Computation, 2003. CEC '03..

[11]  Dirk Thierens,et al.  An Adaptive Pursuit Strategy for Allocating Operator Probabilities , 2005, BNAIC.

[12]  Philippe Lacomme,et al.  First Competitive Ant Colony Scheme for the CARP , 2004, ANTS Workshop.

[13]  Bruce L. Golden,et al.  Capacitated arc routing problems , 1981, Networks.

[14]  Antonio López Jaimes,et al.  Preserving Population Diversity for the Multi-Objective Vehicle Routing Problem with Time Windows , 2009 .

[15]  Kenneth Steiglitz,et al.  Combinatorial Optimization: Algorithms and Complexity , 1981 .

[16]  P. Jaccard,et al.  Etude comparative de la distribution florale dans une portion des Alpes et des Jura , 1901 .

[17]  Edsger W. Dijkstra,et al.  A note on two problems in connexion with graphs , 1959, Numerische Mathematik.

[18]  Xin Yao,et al.  Memetic Algorithm With Extended Neighborhood Search for Capacitated Arc Routing Problems , 2009, IEEE Transactions on Evolutionary Computation.

[19]  D. Hinkley Inference about the change-point from cumulative sum tests , 1971 .

[20]  Rolf Drechsler,et al.  Applications of Evolutionary Computing, EvoWorkshops 2008: EvoCOMNET, EvoFIN, EvoHOT, EvoIASP, EvoMUSART, EvoNUM, EvoSTOC, and EvoTransLog, Naples, Italy, March 26-28, 2008. Proceedings , 2008, EvoWorkshops.

[21]  Xin Yao,et al.  Decomposition-Based Memetic Algorithm for Multiobjective Capacitated Arc Routing Problem , 2011, IEEE Transactions on Evolutionary Computation.

[22]  Ángel Corberán,et al.  The Capacitated Arc Routing Problem: Lower bounds , 1992, Networks.

[23]  Thomas Stützle,et al.  Ant Colony Optimization and Swarm Intelligence , 2008 .

[24]  Samy Bengio,et al.  The Vehicle Routing Problem with Time Windows Part II: Genetic Search , 1996, INFORMS J. Comput..

[25]  Wen Lea Pearn,et al.  Augment-insert algorithms for the capacitated arc routing problem , 1991, Comput. Oper. Res..

[26]  Alain Hertz,et al.  A Variable Neighborhood Descent Algorithm for the Undirected Capacitated Arc Routing Problem , 2001, Transp. Sci..

[27]  Luc Muyldermans,et al.  A guided local search heuristic for the capacitated arc routing problem , 2003, Eur. J. Oper. Res..

[28]  Peter Auer,et al.  Finite-time Analysis of the Multiarmed Bandit Problem , 2002, Machine Learning.

[29]  Xin Yao,et al.  A Global Repair Operator for Capacitated Arc Routing Problem , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[30]  G. Ulusoy The fleet size and mix problem for capacitated arc routing , 1985 .

[31]  Xiaodong Li,et al.  Cooperative Coevolution With Route Distance Grouping for Large-Scale Capacitated Arc Routing Problems , 2014, IEEE Transactions on Evolutionary Computation.

[32]  Richard W. Eglese,et al.  Routeing Winter Gritting Vehicles , 1994, Discret. Appl. Math..

[33]  Xin Yao,et al.  A Hybrid Ant Colony Optimization Algorithm for the Extended Capacitated Arc Routing Problem , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[34]  Reinhard Männer,et al.  Parallel Problem Solving from Nature — PPSN III , 1994, Lecture Notes in Computer Science.

[35]  Xin Yao,et al.  Stochastic ranking for constrained evolutionary optimization , 2000, IEEE Trans. Evol. Comput..

[36]  Feng Chu,et al.  A Scatter Search for the periodic capacitated arc routing problem , 2006, Eur. J. Oper. Res..

[37]  David E. Goldberg,et al.  Probability Matching, the Magnitude of Reinforcement, and Classifier System Bidding , 1990, Machine Learning.

[38]  Michèle Sebag,et al.  Adaptive operator selection with dynamic multi-armed bandits , 2008, GECCO '08.

[39]  Jin-Kao Hao,et al.  Hybrid Evolutionary Algorithms for Graph Coloring , 1999, J. Comb. Optim..

[40]  Frédéric Saubion,et al.  A Compass to Guide Genetic Algorithms , 2008, PPSN.

[41]  Philippe Lacomme,et al.  Competitive Memetic Algorithms for Arc Routing Problems , 2004, Ann. Oper. Res..