计算机集成制造系统 ›› 2021, Vol. 27 ›› Issue (8): 2260-2269.DOI: 10.13196/j.cims.2021.08.009

• 当期目次 • 上一篇    下一篇

求解带能力约束车辆路径优化问题的改进模拟退火算法

尚正阳1,顾寄南2,王建平1   

  1. 1.安徽工程大学机械与汽车工程学院
    2.江苏大学制造业信息化研究中心
  • 出版日期:2021-08-31 发布日期:2021-08-31
  • 基金资助:
    安徽省高校自然科学重点资助项目(KJ2019A0148);汽车新技术安徽省工程技术研究中心开放基金资助项目(QCKJ202104)。

Improved simulated annealing algorithm for capacitated vehicle routing problem

  • Online:2021-08-31 Published:2021-08-31
  • Supported by:
    Project supported by the Natural Science Foundation in the Universities of Anhui Province,China (No.KJ2019A0148),and the Open Research Fund of Anhui Provincial Engineering Technology Research Center of Automotive New Technique,China(No.QCKJ202104).

摘要: 为高效求解带能力约束的车辆路径优化问题,提出一种带有回火操作的改进模拟退火算法。解析多约束条件下的路径优化特点,构建了结构简单且功能模块相对独立的模拟退火框架,以便相关约束及其算法的耦合嵌套。在此基础上,改变较优解在迭代过程中的接受规则,引入回火操作使全局搜索与局部搜索实现平衡;设计强制的随机邻域变换策略,以提高多约束条件下的新解生成质量。结合初始解生成方法,构建了整体算法。通过不同类型算例的对比实验表明,所提算法具有优越的求解性能,相应的求解框架与优化方法研究,能够为相关的多约束耦合求解提供参考。

关键词: 车辆路径优化问题, 模拟退火算法, 多约束耦合求解, 邻域变换

Abstract: To solve the Capacitated Vehicle Routing Problem (CVRP),an improved simulated annealing algorithm with the tempering operation was presented .Based on the characteristic analysis of route optimization under multiple constraints,the solution framework of simulated annealing operation with simple structure and independent functional modules was constructed,which could facilitate the coupling of relevant constraints and algorithms.Under the arithmetic framework,the acceptance rules for the better solution were altered,and the balance between global searching and local searching was achieved through the tempering operation.A compulsory random neighborhood transformation strategy was designed to improve the quality of new solution generation under multiple constraints.The entire algorithm was constructed by combining the initial solution method.Simulation results on classic benchmarks with different types demonstrated the effectiveness of the presented algorithm.This study of the corresponding solution framework and optimization method could provide a reference for the relevant multi-constraint coupling solution.

Key words: vehicle routing problem, simulated annealing algorithm, multi-constraint coupling solution, neighborhood search

中图分类号: