Design a bi-objective mathematical model for cellular manufacturing systems considering variable failure rate of machines

Design a bi-objective mathematical model for cellular manufacturing systems considering variable failure rate of machines
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DOI:
10.1080/00207543.2014.932462
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发表时间:
2014-11
影响因子:
9.2
通讯作者:
M. Yadollahi;I. Mahdavi;M. Paydar;J. Jouzdani
M. Yadollahi;I. Mahdavi;M. Paydar;J. Jouzdani
中科院分区:
工程技术2区
文献类型:
--
作者:
M. Yadollahi;I. Mahdavi;M. Paydar;J. Jouzdani

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当前的商业环境迫使制造商以低成本和最短的交货时间生产高质量的产品。用于帮助生产商应对这一困境的细胞制造系统(CMS)一直吸引着研究人员和从业者。机器可靠性是 CMS 的关键性能指标之一,原因是机器故障率高会导致到期日冲突和客户流失。因此,本文提出了一个 CMS 的双目标数学模型,考虑了序列数据、替代工艺计划、机器的候选位置、每台机器的最大容量和每台机器的可变故障率。在所提出的模型中,变量故障率被视为回归方程中“设置数量”和“总处理时间”的因变量。该模型的第一个目标是最小化机器的购买成本、细胞内运动(向前和向后)和材料的细胞间运动成本,而第二个目标是最小化故障机器的总维修时间。为了说明所提出模型的性能,使用增强 ε 约束方法在广义代数建模系统软件中求解了一个数值示例。数值例子的结果表明所提出的方法是有前途的。
Current business environment compels manufacturers to produce high-quality products at low cost with the shortest possible delivery time. Cellular Manufacturing Systems (CMSs), utilised to equip the producers to deal with this predicament, have been a point of attraction to both researchers and practitioners. Machine reliability is one of key performance measures of a CMS and the reason is that high machine failure rates lead to due date collision and loss of customers. Therefore, this paper presents a bi-objective mathematical model for a CMS considering the sequence data, alternative process plans, candidate locations for machines, maximum capacity for each machine and variable failure rate of each machine. In the proposed model, the variable failure rate is considered as a dependent variable of ‘number of setups’ and ‘total processing time’ in a regression equation. The first objective of this model is minimising the purchase cost of machines, intra-cellular movements (forward and backward) and the inter-cellular movement costs of materials while the second one is to minimise the total repair time for failed machines. To illustrate the performance of the proposed model, a numerical example is solved in the Generalized Algebraic Modeling Systems software using augmented ε-constraint method. The results of the numerical examples show that the proposed approach is promising.