计算机集成制造系统 ›› 2021, Vol. 27 ›› Issue (4): 1089-1098.DOI: 10.13196/j.cims.2021.04.013

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多充电桩下考虑运载机械释放时间的充电调度

裴植,万明重,杜蕊,李英德,陈勇   

  1. 浙江工业大学机械工程学院工业工程研究所
  • 出版日期:2021-04-30 发布日期:2021-04-30
  • 基金资助:
    国家自然科学基金资助项目(71871203,L1924063);浙江省自然科学基金资助项目(LY18G010017,LY18G020018)。

Novel scheduling approach of Kiva's automatic charging with release time and unrelated servers

  • Online:2021-04-30 Published:2021-04-30
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.71871203,L1924063),and the Zhejiang Provincial Natural Science Foundation,China(No.LY18G010017,LY18G020018).

摘要: 针对柔性自动化物流仓库作业中自动运载机器人Kiva的充电调度问题,构造了以最小化总加权充电完成时间为优化目标的调度模型,该模型可最大化Kiva在仓库作业过程中的使用率。由于此类调度问题的计算复杂性较高,提出了一种新的问题求解近似算法。通过将原复杂充电调度问题分解为若干独立的子问题,应用半定规划求解子问题的半定松弛,并设计了基于子问题松弛解的局部搜索算法,得到了子问题的可行解并组合成原充电调度问题的近优解。通过分析一系列数值算例计算结果可以发现,该近似调度算法相比其他现有算法可获得更佳的Kiva充电调度方案。

关键词: 柔性物流仓库, Kiva充电策略, 调度算法, 半定规划, 局部搜索

Abstract: Aiming at the charging scheduling of automatic carrier robots Kiva in the flexible automatic warehouse,the scheduling model by taking minimal sum of weighted waiting time as the optimization was proposed.This kind of scheduling problem is NP-hard.As a result,a new approximation algorithm was devised to decompose the original problem into several sub-problems,which were transformed with semi-definite relaxation and tackled by the semi-definite programming based approach.Then a tailored local search algorithm was employed to derive the detailed sequence of each sub-problem,which was applied to construct the charging scheduling of the original problem.A series of computational experiments demonstrated that the proposed algorithm outperformed several known methods in terms of quality of solutions.

Key words: flexible warehouse, Kiva charging strategy, scheduling algorithm, semi-definite programming, local search

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