Diversification and Entropy Improvement on the DPSO Algorithm for DTSP

This paper introduces a new Discrete Particle Swarm Optimization (DPSO) algorithm for solving the Dynamic Traveling Salesman Problem (DTSP) with entropy diversity control. An experimental environment is stochastic and dynamic. Changeability requires the algorithm to have the ability to quickly adapt. Most scientists draw attention to the correlation between the population diversity and the convergence to the optimum. Controlling population variation allows for the control of a stable convergence of the algorithm to the optimum and provides a good mechanism for avoiding stagnation. This article describes the control of this parameter by examining the pheromone matrix by using the entropy measure. The results of the research on the different variants of the measure in the context of a dynamic TSP are presented.

[1]  Urszula Boryczka,et al.  The Differential Evolution with the Entropy Based Population Size Adjustment for the Nash Equilibria Problem , 2013, ICCCI.

[2]  Jun Zhang,et al.  A Novel Set-Based Particle Swarm Optimization Method for Discrete Optimization Problems , 2010, IEEE Transactions on Evolutionary Computation.

[3]  Andries Petrus Engelbrecht,et al.  Measuring Diversity in the Cooperative Particle Swarm Optimizer , 2012, ANTS.

[4]  Martin Middendorf,et al.  Pheromone Modification Strategies for Ant Algorithms Applied to Dynamic TSP , 2001, EvoWorkshops.

[5]  Urszula Boryczka,et al.  Efficient DPSO Neighbourhood for Dynamic Traveling Salesman Problem , 2013, ICCCI.

[6]  Weiqi Li A Parallel Multi-start Search Algorithm for Dynamic Traveling Salesman Problem , 2011, SEA.

[7]  Andries Petrus Engelbrecht,et al.  Measuring exploration/exploitation in particle swarms using swarm diversity , 2008, 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence).

[8]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[9]  Jorge J. Moré,et al.  The NEOS Server , 1998 .

[10]  Russell C. Eberhart,et al.  Population diversity of particle swarms , 2008, 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence).

[11]  Jun Zhang,et al.  A novel discrete particle swarm optimization to solve traveling salesman problem , 2007, 2007 IEEE Congress on Evolutionary Computation.

[12]  Irene Moser,et al.  Entropy-based adaptive range parameter control for evolutionary algorithms , 2013, GECCO '13.

[13]  Shengxiang Yang,et al.  Evolutionary algorithms for dynamic optimization problems: workshop preface , 2005, GECCO '05.

[14]  Thomas Stützle,et al.  MAX-MIN Ant System , 2000, Future Gener. Comput. Syst..

[15]  William Gropp,et al.  Optimization environments and the NEOS server , 1997 .