Optimal lot sizing in an unreliable two-stage serial production-inventory system
Optimal lot sizing in an unreliable two-stage serial production-inventory system
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DOI：
10.1111/j.1475-3995.2005.00490.x
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
B. Giri;Won Young Yun;T. Dohi
中科院分区：
文献类型：
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作者：
B. Giri;Won Young Yun;T. Dohi
研究了不可靠生产环境下的两阶段批量生产问题，其中第一阶段（阶段1）的机器容易发生故障，而最后阶段（阶段2）的机器是无故障的.加工产品通过制造分批获得，并从第一阶段连续转移到第二阶段，在第二阶段生产成品，然后运往客户。如果机器在第1阶段发生故障，则中断批次的生产不会恢复。相反，机器维修后会启动新的生产周期。该模型是制定假设的生产率的机器在阶段1是大于在阶段2和机器故障的时间和修复时间是任意分布。在指数失效和指数修复时间分布下，推导出了该模型的具体公式，并给出了求最优生产策略的方法。最优生产策略对模型参数的依赖关系也通过数值算例进行了检验。
This paper deals with a two-stage lot sizing problem in an unreliable production environment in which the machine at the first stage (stage 1) is failure-prone while the machine at the final stage (stage 2) is failure-free. The process goods are obtained in batches by manufacturing and are transferred continuously from stage 1 to stage 2 where the finished goods are produced and then shipped out to customers. If the machine at stage 1 breaks down then the production of the interrupted lot is not resumed. Instead, a new production cycle is initiated after machine repair. The model is formulated assuming that the production rate of the machine at stage 1 is greater than that at stage 2 and the time to machine failure and repair time are arbitrarily distributed. Specific formulation of the model under exponential failure and exponential repair time distributions is derived and a procedure for finding the optimal production policy is presented. The dependence of the optimal production policy on the model parameters is also examined with numerical examples.