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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 1-33, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2730-:d:1468774
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    References listed on IDEAS

    as
    1. Yonit Barron & Dror Hermel, 2017. "Shortage decision policies for a fluid production model with MAP arrivals," International Journal of Production Research, Taylor & Francis Journals, vol. 55(14), pages 3946-3969, July.
    2. Lap Mui Ann Chan & Ana Muriel & Zuo-Jun Max Shen & David Simchi-Levi & Chung-Piaw Teo, 2002. "Effective Zero-Inventory-Ordering Policies for the Single-Warehouse Multiretailer Problem with Piecewise Linear Cost Structures," Management Science, INFORMS, vol. 48(11), pages 1446-1460, November.
    3. Mario Guajardo & Mikael Rönnqvist & Ann Mari Halvorsen & Svein Inge Kallevik, 2015. "Inventory management of spare parts in an energy company," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(2), pages 331-341, February.
    4. Kouki, Chaaben & Babai, M. Zied & Minner, Stefan, 2018. "On the benefit of dual-sourcing in managing perishable inventory," International Journal of Production Economics, Elsevier, vol. 204(C), pages 1-17.
    5. Kouki, Chaaben & Jemaï, Zied & Minner, Stefan, 2015. "A lost sales (r, Q) inventory control model for perishables with fixed lifetime and lead time," International Journal of Production Economics, Elsevier, vol. 168(C), pages 143-157.
    6. Rahimi-Ghahroodi, S. & Al Hanbali, A. & Zijm, W.H.M. & Timmer, J.B., 2019. "Emergency supply contracts for a service provider with limited local resources," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 445-460.
    7. Barron, Yonit, 2022. "The continuous (S,s,Se) inventory model with dual sourcing and emergency orders," European Journal of Operational Research, Elsevier, vol. 301(1), pages 18-38.
    8. Arie Harel & Jack Clark Francis & Giora Harpaz, 2018. "Alternative utility functions: review, analysis and comparison," Review of Quantitative Finance and Accounting, Springer, vol. 51(3), pages 785-811, October.
    9. Kamran Moinzadeh & Charles P. Schmidt, 1991. "An (S − 1, S) Inventory System with Emergency Orders," Operations Research, INFORMS, vol. 39(2), pages 308-321, April.
    10. van Wingerden, E. & Tan, T. & Van Houtum, G.J., 2019. "The impact of an emergency warehouse in a two-echelon spare parts network," European Journal of Operational Research, Elsevier, vol. 276(3), pages 983-997.
    11. Yonit Barron, 2018. "Group maintenance policies for an R-out-of-N system with phase-type distribution," Annals of Operations Research, Springer, vol. 261(1), pages 79-105, February.
    12. Mark Goh & Ou Jihong & Teo Chung‐Piaw, 2001. "Warehouse sizing to minimize inventory and storage costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(4), pages 299-312, June.
    13. Steven Nahmias, 2011. "Perishable Inventory Systems," International Series in Operations Research and Management Science, Springer, edition 1, number 978-1-4419-7999-5, April.
    14. Jing-Sheng Song & Li Xiao & Hanqin Zhang & Paul Zipkin, 2017. "Optimal Policies for a Dual-Sourcing Inventory Problem with Endogenous Stochastic Lead Times," Operations Research, INFORMS, vol. 65(2), pages 379-395, April.
    15. Ruiz-Castro, Juan Eloy, 2016. "Complex multi-state systems modelled through marked Markovian arrival processes," European Journal of Operational Research, Elsevier, vol. 252(3), pages 852-865.
    16. Turrini, Laura & Meissner, Joern, 2019. "Spare parts inventory management: New evidence from distribution fitting," European Journal of Operational Research, Elsevier, vol. 273(1), pages 118-130.
    17. Gad Allon & Jan A. Van Mieghem, 2010. "Global Dual Sourcing: Tailored Base-Surge Allocation to Near- and Offshore Production," Management Science, INFORMS, vol. 56(1), pages 110-124, January.
    18. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    19. Saeed Poormoaied & Zümbül Atan & Ton de Kok & Tom Van Woensel, 2020. "Optimal inventory and timing decisions for emergency shipments," IISE Transactions, Taylor & Francis Journals, vol. 52(8), pages 904-925, August.
    20. Wang, Ling & Chu, Jian & Mao, Weijie, 2009. "A condition-based replacement and spare provisioning policy for deteriorating systems with uncertain deterioration to failure," European Journal of Operational Research, Elsevier, vol. 194(1), pages 184-205, April.
    21. Ming-Jong Yao & Jia-Yen Huang, 2017. "Optimal lot-sizing and joint replenishment strategy under a piecewise linear warehousing cost structure," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 791-803, March.
    22. Jing-Sheng Song & Paul Zipkin, 2009. "Inventories with Multiple Supply Sources and Networks of Queues with Overflow Bypasses," Management Science, INFORMS, vol. 55(3), pages 362-372, March.
    23. Liangjun Peng & Yawei Liu & Zichen Zou & Linbo Zhang & Vahid Kayvanfar, 2022. "Effects of Supply Reliability, Risk Aversion, and Wealth on Retailer’s Optimal Order Strategy," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, November.
    24. Çelik, Melih & Archetti, Claudia & Süral, Haldun, 2022. "Inventory routing in a warehouse: The storage replenishment routing problem," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1117-1132.
    25. Barron, Yonit & Frostig, Esther & Levikson, Benny, 2006. "Analysis of R out of N systems with several repairmen, exponential life times and phase type repair times: An algorithmic approach," European Journal of Operational Research, Elsevier, vol. 169(1), pages 202-225, February.
    26. Søren Asmussen, 2000. "Matrix‐analytic Models and their Analysis," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(2), pages 193-226, June.
    27. Paul Zipkin, 2008. "Old and New Methods for Lost-Sales Inventory Systems," Operations Research, INFORMS, vol. 56(5), pages 1256-1263, October.
    28. Johansson, Lina & Olsson, Fredrik, 2018. "Age-based inventory control in a multi-echelon system with emergency replenishments," European Journal of Operational Research, Elsevier, vol. 265(3), pages 951-961.
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