运筹与管理 ›› 2022, Vol. 31 ›› Issue (4): 98-103.DOI: 10.12005/orms.2022.0119

• 理论分析与方法探讨 • 上一篇    下一篇

移动机器人履行系统配置优化研究——基于闭排队网络理论

冯爱兰1, 杨腾1, 马立坤2, 孔继利3   

  1. 1.北京科技大学 机械工程学院,北京 100083;
    2.北京科技大学 天津学院 机械工程系,天津 301830;
    3.北京邮电大学 现代邮政学院,北京 100876
  • 收稿日期:2019-05-28 出版日期:2022-04-25 发布日期:2022-05-13
  • 作者简介:冯爱兰(1965-),女,副教授,研究方向:物流管理、信息系统分析、物流网络的构建与优化、物流设施规划与设计等。
  • 基金资助:
    国家自然科学基金资助项目(71772010)

Facilities Configuration Optimization of Robotic Mobile Fulfillment Systems ——Based on Closed Queuing Network Model

FENG Ai-lan1, YANG Teng1, MA Li-kun2, KONG Ji-li3   

  1. 1. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;
    2. Department of Mechanical Engineering, TianJin College, University of Science &Technology Beijing, TianJin: 301830, China;
    3. School of Mordern Post,Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Received:2019-05-28 Online:2022-04-25 Published:2022-05-13

摘要: 本文对移动机器人履行系统中货架调度任务的履行过程进行分析,根据机器人在货架装载、搬运、拣选、卸载四个过程的作业特点建立闭排队网络模型。采用近似平均值分析算法求解,实现系统绩效的迅速评估。通过与仿真计算实验的对比证明,模型对系统绩效的评估误差不超过5%。利用闭排队网络模型评估拣选台、机器人利用率和调度任务履行能力,实现对系统设施配置的讨论和优化。研究表明,拣选台均匀分布于仓库较长的两侧能提高系统履行绩效;系统存在最优机器人投放数量使系统整体利用率较高。

关键词: 系统优化, 履行绩效, 闭排队网络, 移动机器人履行系统

Abstract: The fulfillment process of the shelf scheduling task in the Robotic Mobile Fulfillment Systems is analyzed. A closed queue network model is established according to the operation processes of robots,including shelf loading, transportation, picking and unloading. The approximate mean value analysis algorithm is used to solve the problem and can evaluate system performance rapidly. The comparison with the simulation experiment proves that the experimental error does not exceed 5%. Finally, the closed queueing network model is used to evaluate the selection station, robot utilization and fulfillment ability, to optimize system facility configuration. The experiments show that the uniform distribution of the picking stations on the longer sides of the warehouse can improve the performance of the system; the optimal number of robots in the system makes the system have the higher comprehensive utilization.

Key words: system optimization, system performance, closed queueing network, Robotic Mobile Fulfillment Systems

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