东北大学学报(自然科学版) ›› 2025, Vol. 46 ›› Issue (7): 71-83.DOI: 10.12068/j.issn.1005-3026.2025.20240193

• 工业智能理论与方法 • 上一篇    下一篇

考虑线边零件库存的多阶段装配线解析建模与性能评估

崔鹏浩1, 张祺曼1, 蒋忠中1(), 盛国军2   

  1. 1.东北大学 工商管理学院,辽宁 沈阳 110169
    2.卡奥斯工业智能研究院(青岛)有限公司,山东 青岛 266500
  • 收稿日期:2024-10-25 出版日期:2025-07-15 发布日期:2025-09-24
  • 通讯作者: 蒋忠中
  • 作者简介:崔鹏浩(1990—),男,河北保定人,东北大学讲师,硕士生导师
  • 基金资助:
    国家社会科学基金重大项目(23&ZD050);国家自然科学基金资助项目(72402031);国家自然科学基金资助项目(71971052);大规模个性化定制系统与技术全国重点实验室开放课题(H&C-MPC-2023-04-03);中央高校基本科研业务费专项资金资助项目(N25ZJL015)

Analytical Modeling and Performance Evaluation of Multi-stage Assembly Lines with Line-Side Buffers

Peng-hao CUI1, Qi-man ZHANG1, Zhong-zhong JIANG1(), Guo-jun SHENG2   

  1. 1.School of Business Administration,Northeastern University,Shenyang 110169,China
    2.COSMOPlat Industrial Intelligence Research Institute (Qingdao) Co. ,Ltd. ,Qingdao 266500,China.
  • Received:2024-10-25 Online:2025-07-15 Published:2025-09-24
  • Contact: Zhong-zhong JIANG

摘要:

装配线的产出性能不仅受到机器不可靠性和缓冲空间有限性的影响,还受到线边零件库存的制约.针对考虑线边零件库存的多阶段装配线,研究了其解析建模与性能评估问题.首先,对于单阶段装配线,基于马尔可夫链求得了单阶段装配线系统状态的稳态概率分布.其次,对于两阶段装配线,将单阶段子系统等效为具有1个工作状态和1个故障状态的机器,基于马尔可夫链建立性能评估模型,通过模型求解得到产出率等性能指标的闭集表达式.再次,对于多阶段装配线,提出了聚合方法对主要性能指标进行近似评估.进一步地,通过数值实验验证了性能评估方法的准确性.最后,基于所提出的性能评估方法,通过数值实验分析了多阶段装配线的可逆性及单调性等系统性质.

关键词: 多阶段装配线, 线边零件库存, 解析建模, 性能评估, 马尔可夫链

Abstract:

The output performance of assembly lines is not only affected by machine unreliability and limited buffer capacity but also constrained by line-side buffers. The analytical modeling and performance evaluation of multi-stage assembly lines with line-side buffers were investigated. Firstly, for the single-stage assembly lines, the steady-state probability distribution of system states was derived based on Markov chains. Secondly, for the two-stage assembly lines, each single-stage subsystem was modeled as a machine with one operational state and one failure state. A performance evaluation model was then established using Markov chains, and closed-form expressions for performance indicators were obtained. Thirdly, for the multi-stage assembly lines, an aggregation method was proposed to approximate the performance indicators. Furthermore, the accuracy of the performance evaluation method was validated through numerical experiments. Finally, utilizing the proposed method, numerical experiments were conducted to examine system properties, such as reversibility and monotonicity in the multi-stage assembly lines.

Key words: multi-stage assembly lines, line-side buffer, analytical modeling, performance evaluation, Markov chain

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