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Multi-parent extension of sequential constructive crossover for the travelling salesman problem

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  • Zakir Hussain Ahmed

Abstract

Crossover operator plays a vital role in genetic algorithms. This paper proposes the multi-parent sequential constructive crossover (MPSCX), which generalises the two-parent sequential constructive crossover (SCX) to a multi-parent crossover for the travelling salesman problem (TSP). Experimental results on five TSPLIB instances show that MPSCX significantly improves SCX by up to 4.60% in average tour value with maximum 4.01% away from the exact optimal solution. Finally, the efficiency of the MPSCX is compared as against multi-parent partially mapped crossover (MPPMX). Experimental results show that the MPSCX is better than the MPPMX.

Suggested Citation

  • Zakir Hussain Ahmed, 2011. "Multi-parent extension of sequential constructive crossover for the travelling salesman problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 11(3), pages 331-342.
    • Handle: RePEc:ids:ijores:v:11:y:2011:i:3:p:331-342
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    Cited by:

    1. Zakir Hussain Ahmed, 2016. "Experimental analysis of crossover and mutation operators on the quadratic assignment problem," Annals of Operations Research, Springer, vol. 247(2), pages 833-851, December.

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