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Emergency Supply Alternatives for a Storage Facility of a Repairable Multi-Component System

Author

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  • Yonit Barron

    (Department of Industrial Engineering and Management, Ariel University, Ariel 40700, Israel)

  • Chananel Benshimol

    (Department of Industrial Engineering and Management, Ariel University, Ariel 40700, Israel)

Abstract

This paper studies a continuous-review stochastic replenishment model for a multi-component system with regular and emergency orders. The system consists of N parallel and independent components, each of which has a finite life span. In addition, there is a warehouse with a limited stock of new components. Each broken component is replaced by a new component from the stock. When no component is available, an emergency supply is ordered. The stock is managed according to an ( ( s , S ) , ( 0 , Q e ) ) policy, which is a combination of an ( s , S ) policy for the regular order and a ( 0 , Q e ) policy for the emergency order. The regular order is delivered after an exponentially distributed lead time, whereas the emergency order is delivered immediately. We study three sub-policies for emergency orders, which differ from each other in size and in relation to the regular order. Applying the results from queueing theory and phase-type properties, we derive the optimal thresholds for each sub-policy and then compare the economic benefit of each one.

Suggested Citation

  • Yonit Barron & Chananel Benshimol, 2024. "Emergency Supply Alternatives for a Storage Facility of a Repairable Multi-Component System," Mathematics, MDPI, vol. 12(17), pages 1-37, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2730-:d:1468774
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    References listed on IDEAS

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