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A new class of stock-level dependent ordering policies for perishables with a short maximum shelf life

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  • Haijema, René

Abstract

Many perishables such as fresh food and blood platelet concentrates are characterized by a short maximum shelf life. As demand is often highly uncertain the outdating and shortages figures can be very high, especially when frequent replenishment is not possible or inefficient due to fixed ordering cost. We present a new class of stock-level dependent ordering policies: the (s,S,q,Q) policy, which is a periodic review (s,S) policy with the order quantity restricted by a minimum (q) and maximum (Q). Optimal (weekday dependent) parameter values are derived by dynamic programming and simulation. The (s,S,q,Q) policy performs nearly optimal and improves the (s,S) policies in many cases by 4–25%.

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  • Haijema, René, 2013. "A new class of stock-level dependent ordering policies for perishables with a short maximum shelf life," International Journal of Production Economics, Elsevier, vol. 143(2), pages 434-439.
    • Handle: RePEc:eee:proeco:v:143:y:2013:i:2:p:434-439
    DOI: 10.1016/j.ijpe.2011.05.021
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    1. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    2. Haijema, René & van Dijk, Nico & van der Wal, Jan & Smit Sibinga, Cees, 2009. "Blood platelet production with breaks: optimization by SDP and simulation," International Journal of Production Economics, Elsevier, vol. 121(2), pages 464-473, October.
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    Cited by:

    1. De Moor, Bram J. & Gijsbrechts, Joren & Boute, Robert N., 2022. "Reward shaping to improve the performance of deep reinforcement learning in perishable inventory management," European Journal of Operational Research, Elsevier, vol. 301(2), pages 535-545.
    2. 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.
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    4. Haijema, Rene, 2014. "Optimal ordering, issuance and disposal policies for inventory management of perishable products," International Journal of Production Economics, Elsevier, vol. 157(C), pages 158-169.
    5. Cenk Çalışkan, 2022. "A Comparison of Simple Closed-Form Solutions for the EOQ Problem for Exponentially Deteriorating Items," Sustainability, MDPI, vol. 14(14), pages 1-23, July.
    6. Tromp, Seth-Oscar & Haijema, René & Rijgersberg, Hajo & van der Vorst, Jack G.A.J., 2016. "A systematic approach to preventing chilled-food waste at the retail outlet," International Journal of Production Economics, Elsevier, vol. 182(C), pages 508-518.
    7. Dehghani, Maryam & Abbasi, Babak, 2018. "An age-based lateral-transshipment policy for perishable items," International Journal of Production Economics, Elsevier, vol. 198(C), pages 93-103.
    8. 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.
    9. Gorria, Carlos & Lezaun, Mikel & López, F. Javier, 2022. "Performance measures of nonstationary inventory models for perishable products under the EWA policy," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1137-1150.
    10. Gioia, Daniele Giovanni & Minner, Stefan, 2023. "On the value of multi-echelon inventory management strategies for perishable items with on-/off-line channels," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 180(C).
    11. Ketzenberg, Michael & Gaukler, Gary & Salin, Victoria, 2018. "Expiration dates and order quantities for perishables," European Journal of Operational Research, Elsevier, vol. 266(2), pages 569-584.
    12. Jian Li & Lu Liu & Hao Hu & Qiuhong Zhao & Libin Guo, 2018. "An Inventory Model for Deteriorating Drugs with Stochastic Lead Time," IJERPH, MDPI, vol. 15(12), pages 1-20, December.
    13. Umay Uzunoglu Kocer & Bahar Yalcin, 2020. "Continuous review (s, Q) inventory system with random lifetime and two demand classes," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 104-118, March.
    14. Hansen, Ole & Transchel, Sandra & Friedrich, Hanno, 2023. "Replenishment strategies for lost sales inventory systems of perishables under demand and lead time uncertainty," European Journal of Operational Research, Elsevier, vol. 308(2), pages 661-675.
    15. Pauls-Worm, Karin G.J. & Hendrix, Eligius M.T. & Haijema, René & van der Vorst, Jack G.A.J., 2014. "An MILP approximation for ordering perishable products with non-stationary demand and service level constraints," International Journal of Production Economics, Elsevier, vol. 157(C), pages 133-146.
    16. Soysal, Mehmet & Bloemhof-Ruwaard, Jacqueline M. & Haijema, Rene & van der Vorst, Jack G.A.J., 2015. "Modeling an Inventory Routing Problem for perishable products with environmental considerations and demand uncertainty," International Journal of Production Economics, Elsevier, vol. 164(C), pages 118-133.
    17. Gaukler, Gary & Ketzenberg, Michael & Salin, Victoria, 2017. "Establishing dynamic expiration dates for perishables: An application of rfid and sensor technology," International Journal of Production Economics, Elsevier, vol. 193(C), pages 617-632.
    18. Kouki, Chaaben & Jouini, Oualid, 2015. "On the effect of lifetime variability on the performance of inventory systems," International Journal of Production Economics, Elsevier, vol. 167(C), pages 23-34.
    19. Haijema, René & Minner, Stefan, 2019. "Improved ordering of perishables: The value of stock-age information," International Journal of Production Economics, Elsevier, vol. 209(C), pages 316-324.
    20. Haijema, René & Minner, Stefan, 2016. "Stock-level dependent ordering of perishables: A comparison of hybrid base-stock and constant order policies," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 215-225.
    21. Janssen, Larissa & Diabat, Ali & Sauer, Jürgen & Herrmann, Frank, 2018. "A stochastic micro-periodic age-based inventory replenishment policy for perishable goods," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 445-465.

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