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Chinese Journal of Management Science ›› 2013, Vol. ›› Issue (1): 125-133.

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Study on Multi-types Vehicle Routing Problem and Its Quantum Genetic Algorithm

GE Xian-long1, XU Mao-zeng1, WANG Wei-xin2   

  1. 1. School of Management, Chongqing Jiaotong University, Chongqing 400074, China;
    2. College of Mechanical Engineering, Chongqing University, Chongqing 400030, China
  • Received:2010-12-07 Revised:2012-05-10 Online:2013-02-28 Published:2013-02-26

Abstract: Based on analysis of using the priority principle in the problem of multi-vehicle scheduling in the available literature, the using cost of vehicle is divided into consumption costs and fixed costs. A mathematical model is established for the target of minimum total distribution cost. Then Quantum genetic algorithm is designed to solve the model, the chromosome structure is designed by quantum bits, and the crossover and mutation operators are improved in the genetic algorithm to avoid the destruction of good genes. The rapid searching mechanism and best preservation mechanism are designed in the evolution of the quantum rotation gate to accelerate the convergence speed. Finally, the model and algorithm are analyzed and tested by examples.

Key words: quantum genetic algorithm, vehicle routing problem, most retain mechanism, population expansion mechanism

CLC Number: