Optimal lot sizing for an unreliable production system based on net present value approach
Optimal lot sizing for an unreliable production system based on net present value approach
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DOI：
10.1016/j.ijpe.2003.10.011
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发表时间：
2004-11
影响因子：
12
通讯作者：
B. Giri;T. Dohi
中科院分区：
文献类型：
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作者：
B. Giri;T. Dohi
研究了在无限计划期内，确定不可靠生产系统经济生产批量的净现值方法。在一般故障时间分布和一般修理时间分布下，得到了期望总费用的净现值，并通过瞬时贴现率的摄动分析了其渐近性质。在指数失效和常数/零修理时间下，得到了最优生产时间（批量）的存在唯一性准则。根据两种模型的最优决策，从期望总成本的净现值方面比较了净现值模型与传统的长期平均成本模型的性能。从数值实验中可以看出，基于平均成本的决策比基于净现值的决策差10%，这取决于机器故障率。
The paper considers the net present value (NPV) approach to determine the economic manufacturing quantities for an unreliable production system over an infinite planning horizon. The NPV of the expected total cost is obtained under general failure time and general repair time distributions and its asymptotic characteristics are examined by perturbation of the instantaneous discount rate. The criteria for the existence and uniqueness of the optimal production time (lot size) are derived under exponential failure and constant/zero repair time. The performance of the NPV model is compared with the traditional long-run average cost model in terms of the NPV of the expected total cost based on the optimal decisions of the two models. From numerical experiments, it is observed that the decision based on the average cost can be 10% worse than the decision based on the NPV depending upon the machine failure rate.