Computer Science ›› 2016, Vol. 43 ›› Issue (8): 233-239.doi: 10.11896/j.issn.1002-137X.2016.08.047

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GRASP Algorithm with Parameter Selection Mechanism for Heterogeneous Fleet School Bus Routing Problem

HOU Yan-e, DANG Lan-xue, KONG Yun-feng and XIE Yi   

  • Online:2018-12-01 Published:2018-12-01

Abstract: This paper dealt with the heterogeneous fleet school bus routing problem,in which students are served by a heterogeneous fleet of buses with various capacities,fixed and variable costs.A GRASP (greedy randomized adaptive search procedure) algorithm with probability selection mechanism was proposed to solve the problem.In the initial solution construction phase,a set of threshold parameters with selection possibility is designed to control the size of restric-ted candidate list (RCL).The threshold parameter is selected by roulette-wheel selection method.The initial solution is then improved by variable neighborhood search (VNS).The selection probabilities for threshold parameters are equally set at first and periodically updated when certain iterations are finished.Each threshold parameter is evaluated by its historical performance records and its selection probability value is adjusted according to its performance.This parameter selection mechanism aims to find better average solution gradually.Our experiments are executed on a set of benchmark instances with different bus types.The results confirm that the proposed GRASP algorithm is more effective compared with classical GRASP algorithm.In addition,the proposed algorithm gives better results than existing algorithms for heterogeneous fleet school bus routing problem.

Key words: School bus routing problem,Heterogeneous fleet,Greedy randomized adaptive search procedure,Parameter selection mechanism,Variable neighborhood search

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