Optimal design of unreliable production-inventory systems with variable production rate
Optimal design of unreliable production-inventory systems with variable production rate
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DOI：
10.1016/j.ejor.2003.10.015
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发表时间：
2005-04-16
影响因子：
6.4
通讯作者：
Dohi, T
中科院分区：
文献类型：
--
作者：
Giri, BC;Yun, WY;Dohi, T
在这篇文章中，我们研究了一个不可靠的生产设施的经济制造数量（EMQ）问题，其中的生产率被视为一个决策变量。由于机器的应力条件随生产率而变化，因此机器的故障率被假定为取决于生产率。单位生产成本也被视为生产率的函数，因为机器可以以不同的生产率操作，从而导致不同的单位生产成本。建立了一般故障和一般维修时间分布下的基本EMQ模型，并导出了特定故障和维修时间分布下的最优生产策略，指数失效和指数修复时间分布。考虑到机器故障时间和修复时间的随机性，该模型被扩展到的情况下，一定的安全库存可能是有用的，以提高服务水平的客户。所提出的模型的最优生产策略的数值推导和最优结果的灵敏度相对于这些参数直接影响的机器故障率和修复率也进行了检查。(C)2003 Elsevier B.V.保留所有权利。
In this article, we study an economic manufacturing quantity (EMQ) problem for an unreliable production facility where the production rate is treated as a decision variable. As the stress condition of the machine changes with the production rate, the failure rate of the machine is assumed to be dependent on the production rate. The unit production cost is also taken as a function of the production rate, as the machine can be operated at different production rates resulting in different unit production costs. The basic EMQ model is formulated under general failure and general repair time distributions and the optimal production policy is derived for specific failure and repair time distributions viz., exponential failure and exponential repair time distributions. Considering randomness of the time to machine failure and corrective repair time, the model is extended to the case where certain safety stocks in inventory may be useful to improve service level to customers. Optimal production policies of the proposed models are derived numerically and the sensitivity of the optimal results with respect to those parameters which directly influence the machine failure and repair rates is also examined. (C) 2003 Elsevier B.V. All rights reserved.