• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2023, Vol. 59 ›› Issue (4): 318-331.doi: 10.3901/JME.2023.04.318

• 交叉与前沿 • 上一篇    下一篇

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Job shop强化多工序联动邻域结构与近似评价研究

赵诗奎, 黄林, 吕杰   

  1. 济南大学机械工程学院 济南 250022
  • 收稿日期:2022-06-30 修回日期:2022-11-10 出版日期:2023-02-20 发布日期:2023-04-24
  • 通讯作者: 赵诗奎(通信作者),男,1984年出生,博士,副教授。主要研究方向为车间生产调度和智能优化算法。E-mail:me_zhaosk@ujn.edu.cn
  • 作者简介:黄林,男,1995年出生,硕士研究生。主要研究方向为车间生产调度和智能优化算法;吕杰,男,1981年出生,博士,副教授。主要研究方向为智能制造和质量管理。
  • 基金资助:
    国家自然科学基金资助项目(51775240)。

Research on Strengthening Multi-operation Joint Movement Neighborhood Structure and Approximate Evaluation of Job Shop Scheduling Problem

ZHAO Shikui, HUANG Lin, LÜ Jie   

  1. School of Mechanical Engineering, University of Jinan, Jinan 250022
  • Received:2022-06-30 Revised:2022-11-10 Online:2023-02-20 Published:2023-04-24

摘要: 针对作业车间调度问题(Job shop scheduling problem,JSP),以优化最大完工时间为目标,提出一种强化搜索的多工序联动邻域结构与近似评价方法。分析交换工序块边缘两工序的空闲时间利用机理,对已有多工序联动邻域结构的空闲时间边界范围进行了有效扩展。在交换工序块边缘两工序的同时,基于扩展的空闲时间边界范围判定条件,根据最早开完工时间查找前移工序的工件某一前序工序,将其与紧密相邻机器前序工序进行交换操作。根据最晚开完工时间查找后移工序的工件某一后序工序,将其与紧密相邻机器后序工序进行交换操作。新的多工序联动邻域结构能够尽可能充分利用原有工序块相邻空闲时间和移动工序形成的空闲时间,具有更为强化的搜索能力。基于工序头尾长度理论研究了多工序联动邻域结构的近似评价方法。采用JSP基准算例进行测试,测试结果验证了强化多工序联动邻域结构的有效性,以及所提出的近似评价方法具有较高的准确性。邻域结构和近似评价作为JSP问题的基础研究,对于实现结合问题特征知识的JSP有效求解具有重要意义。

关键词: 作业车间调度问题, 多工序联动, 邻域结构, 近似评价, 最大完工时间

Abstract: Aiming at the job shop scheduling problem(JSP), a search-enhanced multi-operation joint movement neighborhood structure and approximate evaluation method is proposed to optimize the maximum completion time. The idle time utilization mechanism of the transpose of two operations on the edge of the critical operation block is analyzed, and the idle time boundary range of the existing multi-operation joint movement neighborhood structure is effectively extended. While exchanging the two operations on the edge of the critical operation block, based on the extended idle time boundary range judgment condition, to find a job pre-operation of the forward operation according to the earliest start-completion time, and exchange it with the immediately adjacent machine pre-operation. According to the latest start-completion time, to find a job post-operation of the backward operation, and exchange it with the immediately adjacent machine post-operation. The new multi-operation joint movement neighborhood structure can make full use of the adjacent idle time of the original critical operation block and the idle time formed by the moving operations as much as possible, thereby achieving a more enhanced search. Based on the operation head and tail length theory, an approximate evaluation method for multi-operation joint movement neighborhood is studied. The JSP benchmarks are used to test, and the results verify the effectiveness of the strengthening multi-operation joint movement neighborhood, and the proposed approximate evaluation method has high accuracy. As the basic research of JSP problems, neighborhood structure and approximate evaluation are of great significance for JSP to achieve effective solving that combining knowledge of problem characteristics.

Key words: job shop scheduling problem, multi-operation joint movement, neighborhood structure, approximate evaluation, maximum completion time

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