A Hybrid Bat Algorithm with Path Relinking for the Capacitated Vehicle Routing Problem

  • Yongquan ZhouEmail author
  • Qifang Luo
  • Jian Xie
  • Hongqing Zheng
Part of the Modeling and Optimization in Science and Technologies book series (MOST, volume 7)


The capacitated vehicle routing problem (CVRP) is an NP-hard problem with both engineering and theoretical interests. In this paper, a hybrid bat algorithm with path relinking (HBA-PR) is proposed to solve CVRP. The HBA-PR is constructed based on the framework of the continuous bat algorithm, the greedy randomized adaptive search procedure (GRASP) and path relinking are effectively integrated into the bat algorithm. Moreover, in order to further improve the performance, the random subsequences and single-point local search are operated with certain loudness (a probability). In order to verify the effectiveness of our approach and its efficiency and compare with other existing methodologies, several classical CVRP instances from three classes of CVRP benchmarks are selected to test. Experimental results and comparisons show the HBA-PR is effective for solving CVRPs.


Bat algorithm Capacitated vehicle routing problem Path relinking GRASP Metaheuristic algorithm 



This work is supported by the National Science Foundation of China under Grants No.s 61165015 and 61463007. The Key Project of Guangxi Science Foundation under Grant No. 2012GXNSFDA053028, Key Project of Guangxi High School Science Foundation under Grant No. 20121ZD008.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Yongquan Zhou
    • 1
    • 2
    Email author
  • Qifang Luo
    • 1
  • Jian Xie
    • 1
  • Hongqing Zheng
    • 1
  1. 1.College of Information Science and EngineeringGuangxi University for NationalitiesNanningChina
  2. 2.Guangxi High School Key Laboratory of Complex System and Computational IntelligenceNanningChina

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