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Open AccessArticle
Emergency Supply Alternatives for a Storage Facility of a Repairable Multi-Component System
by
Yonit Barron
Yonit Barron *
and
Chananel Benshimol
Chananel Benshimol
Department of Industrial Engineering and Management, Ariel University, Ariel 40700, Israel
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(17), 2730; https://doi.org/10.3390/math12172730 (registering DOI)
Submission received: 10 July 2024
/
Revised: 30 July 2024
/
Accepted: 8 August 2024
/
Published: 31 August 2024
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 policy, which is a combination of an policy for the regular order and a 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.
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MDPI and ACS Style
Barron, Y.; Benshimol, C.
Emergency Supply Alternatives for a Storage Facility of a Repairable Multi-Component System. Mathematics 2024, 12, 2730.
https://doi.org/10.3390/math12172730
AMA Style
Barron Y, Benshimol C.
Emergency Supply Alternatives for a Storage Facility of a Repairable Multi-Component System. Mathematics. 2024; 12(17):2730.
https://doi.org/10.3390/math12172730
Chicago/Turabian Style
Barron, Yonit, and Chananel Benshimol.
2024. "Emergency Supply Alternatives for a Storage Facility of a Repairable Multi-Component System" Mathematics 12, no. 17: 2730.
https://doi.org/10.3390/math12172730
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