Optimum Order Time for a Spare Part Inventory System Modeled by a Non-Regenerative Stochastic Petri Net

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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.

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詳細情報 詳細情報について

  • CRID
    1572543027240249088
  • NII論文ID
    110003208595
  • NII書誌ID
    AA10826239
  • ISSN
    09168508
  • 本文言語コード
    en
  • データソース種別
    • CiNii Articles

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