Optimum Order Time for a Spare Part Inventory System Modeled by a Non-Regenerative Stochastic Petri Net(Special Section on Reliability Theory and Its Applications)

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概要

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• We determine the optimum time T_OPT to order a spare part for a system before the part in operation has failed. T_OPT is a function of the part's failure-time distribution, the lead(delivery)time of the part, its inventory cost, and the cost of downtime while waiting delivery. The probabilities of the system's up and down states are obtained from a non-regenerative stochastic Petri net. T_OPT is found by minimizing E[cost], the expected cost of inventory and downtime. Three cases are compared:1)Exponential order and lead times, 2)Deterministic order time and exponential lead time, and 3)Deterministic order and lead times. In Case 1, it is shown analytically that, depending on the ratio of inventory to downtime costs, the optimum policy is one of three:order a spare part immediately at t=0, wait until the part in operation fails, or order before failure at T_OPT>0. Numerical examples illustrate the three cases.

• 社団法人電子情報通信学会の論文
• 2000-05-25

著者

• Jin Q

  The School Of Computer Science And Engineering University Of Aizu

• JIN Qun

  the School of Computer Science and Engineering, University of Aizu

• VIDALE Richard

  the Department of Electrical and Computer Engineering, Boston University

• SUGASAWA Yoshio

  the Graduate School of Business, Nihon University

• Vidale Richard

  The Department Of Electrical And Computer Engineering Boston University

• Sugasawa Y

  The Graduate School Of Business Nihon University

関連論文

• Optimum Order Time for a Spare Part Inventory System Modeled by a Non-Regenerative Stochastic Petri Net(Special Section on Reliability Theory and Its Applications)

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