IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v140y2012i2p660-669.html
   My bibliography  Save this article

Approximations for the relative outdating of perishable products by combining stochastic modeling, simulation and regression modeling

Author

Listed:
  • van Donselaar, Karel H.
  • Broekmeulen, Rob A.C.M.

Abstract

In this paper we derive approximations for the expected amount of outdating (waste) in an inventory system with perishable products, periodic review, positive lead time, fixed case pack sizes and a First-In-First-Out withdrawal policy. Demand is discrete and stochastic. Demand which is not met from inventory on hand will be lost. The approximations can be used to evaluate how the amount of outdating can be reduced by changing the safety stock and/or the product and demand characteristics. We first derive approximations in an analytical way and then use regression to improve these approximations. The final approximation is very fast and performs very well: the mean and standard deviation of the approximation error are equal to −0.01% and 0.78%. Moreover, the approximation is applicable in situations with parameter settings which are frequently encountered in practice, and for which no other approximations have been derived in the literature before.

Suggested Citation

  • van Donselaar, Karel H. & Broekmeulen, Rob A.C.M., 2012. "Approximations for the relative outdating of perishable products by combining stochastic modeling, simulation and regression modeling," International Journal of Production Economics, Elsevier, vol. 140(2), pages 660-669.
    • Handle: RePEc:eee:proeco:v:140:y:2012:i:2:p:660-669
    DOI: 10.1016/j.ijpe.2012.02.023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527312000941
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2012.02.023?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. van Donselaar, K. & van Woensel, T. & Broekmeulen, R. & Fransoo, J., 2006. "Inventory control of perishables in supermarkets," International Journal of Production Economics, Elsevier, vol. 104(2), pages 462-472, December.
    2. Buzby, Jean C. & Wells, Hodan Farah & Axtman, Bruce & Mickey, Jana, 2009. "Supermarket Loss Estimates for Fresh Fruit, Vegetables, Meat, Poultry, and Seafood and Their Use in the ERS Loss-Adjusted Food Availability Data," Economic Information Bulletin 58313, United States Department of Agriculture, Economic Research Service.
    3. Chiu, Huan Neng, 1995. "An approximation to the continuous review inventory model with perishable items and lead times," European Journal of Operational Research, Elsevier, vol. 87(1), pages 93-108, November.
    4. Kanchanasuntorn, Kanchana & Techanitisawad, Anulark, 2006. "An approximate periodic model for fixed-life perishable products in a two-echelon inventory-distribution system," International Journal of Production Economics, Elsevier, vol. 100(1), pages 101-115, March.
    5. Chiu, Huan Neng, 1995. "A heuristic (R, T) periodic review perishable inventory model with lead times," International Journal of Production Economics, Elsevier, vol. 42(1), pages 1-15, November.
    6. Olsson, Fredrik & Tydesjö, Patrik, 2010. "Inventory problems with perishable items: Fixed lifetimes and backlogging," European Journal of Operational Research, Elsevier, vol. 202(1), pages 131-137, April.
    7. Morris A. Cohen, 1976. "Analysis of Single Critical Number Ordering Policies for Perishable Inventories," Operations Research, INFORMS, vol. 24(4), pages 726-741, August.
    8. Dan Chazan & Shmuel Gal, 1977. "A Markovian Model for a Perishable Product Inventory," Management Science, INFORMS, vol. 23(5), pages 512-521, January.
    9. Purushottaman Nandakumar & Thomas E. Morton, 1993. "Near Myopic Heuristics for the Fixed-Life Perishability Problem," Management Science, INFORMS, vol. 39(12), pages 1490-1498, December.
    10. Helmut Schneider & Jeffrey L. Ringuest, 1990. "Power Approximation for Computing (s, S) Policies Using Service Level," Management Science, INFORMS, vol. 36(7), pages 822-834, July.
    11. Tekin, Eylem & Gurler, Ulku & Berk, Emre, 2001. "Age-based vs. stock level control policies for a perishable inventory system," European Journal of Operational Research, Elsevier, vol. 134(2), pages 309-329, October.
    12. Richard Ehrhardt, 1979. "The Power Approximation for Computing (s, S) Inventory Policies," Management Science, INFORMS, vol. 25(8), pages 777-786, August.
    13. Williams, Craig L. & Patuwo, B. Eddy, 1999. "A perishable inventory model with positive order lead times," European Journal of Operational Research, Elsevier, vol. 116(2), pages 352-373, July.
    14. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    15. Richard Ehrhardt & Charles Mosier, 1984. "A Revision of the Power Approximation for Computing (s, S) Policies," Management Science, INFORMS, vol. 30(5), pages 618-622, May.
    16. Mark Ferguson & Michael E. Ketzenberg, 2006. "Information Sharing to Improve Retail Product Freshness of Perishables," Production and Operations Management, Production and Operations Management Society, vol. 15(1), pages 57-73, March.
    17. Steven Nahmias, 1976. "Myopic Approximations for the Perishable Inventory Problem," Management Science, INFORMS, vol. 22(9), pages 1002-1008, May.
    18. Brant E. Fries, 1975. "Optimal Ordering Policy for a Perishable Commodity with Fixed Lifetime," Operations Research, INFORMS, vol. 23(1), pages 46-61, February.
    19. Steven Nahmias, 1977. "Higher-Order Approximations for the Perishable-Inventory Problem," Operations Research, INFORMS, vol. 25(4), pages 630-640, August.
    20. Charles P. Schmidt & Steven Nahmias, 1985. "(S - 1, S) Policies for Perishable Inventory," Management Science, INFORMS, vol. 31(6), pages 719-728, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    2. Govindan, K. & Jafarian, A. & Khodaverdi, R. & Devika, K., 2014. "Two-echelon multiple-vehicle location–routing problem with time windows for optimization of sustainable supply chain network of perishable food," International Journal of Production Economics, Elsevier, vol. 152(C), pages 9-28.
    3. 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.
    4. Zahra Azadi & Harsha Gangammanavar & Sandra Eksioglu, 2020. "Developing childhood vaccine administration and inventory replenishment policies that minimize open vial wastage," Annals of Operations Research, Springer, vol. 292(1), pages 215-247, September.
    5. Avinadav, Tal, 2020. "The effect of decision rights allocation on a supply chain of perishable products under a revenue-sharing contract," International Journal of Production Economics, Elsevier, vol. 225(C).
    6. Dilupa Nakandala & Henry Lau & Paul K.C. Shum, 2017. "A lateral transshipment model for perishable inventory management," International Journal of Production Research, Taylor & Francis Journals, vol. 55(18), pages 5341-5354, September.
    7. Yu, Yang & Jaenicke, Edward C., 2021. "The effect of sell-by dates on purchase volume and food waste," Food Policy, Elsevier, vol. 98(C).
    8. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2014. "Optimal ordering and pricing policy for demand functions that are separable into price and inventory age," International Journal of Production Economics, Elsevier, vol. 155(C), pages 406-417.
    9. 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.
    10. 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.
    11. Broekmeulen, Rob A.C.M. & van Donselaar, Karel H., 2019. "Quantifying the potential to improve on food waste, freshness and sales for perishables in supermarkets," International Journal of Production Economics, Elsevier, vol. 209(C), pages 265-273.
    12. Sgarbossa, Fabio & Russo, Ivan, 2017. "A proactive model in sustainable food supply chain: Insight from a case study," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 596-606.
    13. Lena Riesenegger & Alexander Hübner, 2022. "Reducing Food Waste at Retail Stores—An Explorative Study," Sustainability, MDPI, vol. 14(5), pages 1-21, February.
    14. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2013. "Optimal inventory policy for a perishable item with demand function sensitive to price and time," International Journal of Production Economics, Elsevier, vol. 144(2), pages 497-506.
    15. Onur Kaya & Sajjad Rahimi Ghahroodi, 2018. "Inventory control and pricing for perishable products under age and price dependent stochastic demand," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(1), pages 1-35, August.
    16. 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.
    17. 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.
    18. Ehsan Ahmadi & Dale T. Masel & Seth Hostetler & Reza Maihami & Iman Ghalehkhondabi, 2020. "A centralized stochastic inventory control model for perishable products considering age-dependent purchase price and lead time," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 231-269, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kouki, Chaaben & Sahin, Evren & Jemaï, Zied & Dallery, Yves, 2013. "Assessing the impact of perishability and the use of time temperature technologies on inventory management," International Journal of Production Economics, Elsevier, vol. 143(1), pages 72-85.
    2. 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.
    3. 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.
    4. Chiu, Huan Neng, 1995. "A heuristic (R, T) periodic review perishable inventory model with lead times," International Journal of Production Economics, Elsevier, vol. 42(1), pages 1-15, November.
    5. Lian, Zhaotong & Liu, Xiaoming & Zhao, Ning, 2009. "A perishable inventory model with Markovian renewal demands," International Journal of Production Economics, Elsevier, vol. 121(1), pages 176-182, September.
    6. Duan, Qinglin & Liao, T. Warren, 2013. "A new age-based replenishment policy for supply chain inventory optimization of highly perishable products," International Journal of Production Economics, Elsevier, vol. 145(2), pages 658-671.
    7. Puranam, Kartikeya & Novak, David C. & Lucas, Marilyn T. & Fung, Mark, 2017. "Managing blood inventory with multiple independent sources of supply," European Journal of Operational Research, Elsevier, vol. 259(2), pages 500-511.
    8. Liming Liu & Zhaotong Lian, 1999. "(s, S) Continuous Review Models for Products with Fixed Lifetimes," Operations Research, INFORMS, vol. 47(1), pages 150-158, February.
    9. Hwang, Hark & Hahn, Kyu Hun, 2000. "An optimal procurement policy for items with an inventory level-dependent demand rate and fixed lifetime," European Journal of Operational Research, Elsevier, vol. 127(3), pages 537-545, December.
    10. Xiuli Chao & Xiting Gong & Cong Shi & Chaolin Yang & Huanan Zhang & Sean X. Zhou, 2018. "Approximation Algorithms for Capacitated Perishable Inventory Systems with Positive Lead Times," Management Science, INFORMS, vol. 64(11), pages 5038-5061, November.
    11. Chiu, Huan Neng, 1995. "An approximation to the continuous review inventory model with perishable items and lead times," European Journal of Operational Research, Elsevier, vol. 87(1), pages 93-108, November.
    12. 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.
    13. Tekin, Eylem & Gurler, Ulku & Berk, Emre, 2001. "Age-based vs. stock level control policies for a perishable inventory system," European Journal of Operational Research, Elsevier, vol. 134(2), pages 309-329, October.
    14. Xiuli Chao & Xiting Gong & Cong Shi & Huanan Zhang, 2015. "Approximation Algorithms for Perishable Inventory Systems," Operations Research, INFORMS, vol. 63(3), pages 585-601, June.
    15. William L. Cooper, 2001. "Pathwise Properties and Performance Bounds for a Perishable Inventory System," Operations Research, INFORMS, vol. 49(3), pages 455-466, June.
    16. Wang, Ke-Ming & Ma, Zu-Jun, 2015. "Age-based policy for blood transshipment during blood shortage," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 166-183.
    17. Duan, Qinglin & Liao, T. Warren, 2014. "Optimization of blood supply chain with shortened shelf lives and ABO compatibility," International Journal of Production Economics, Elsevier, vol. 153(C), pages 113-129.
    18. Ding, Jingying & Peng, Zhenkang, 2024. "Heuristics for perishable inventory systems under mixture issuance policies," Omega, Elsevier, vol. 126(C).
    19. Jinzhi Bu & Xiting Gong & Xiuli Chao, 2023. "Asymptotic Optimality of Base-Stock Policies for Perishable Inventory Systems," Management Science, INFORMS, vol. 69(2), pages 846-864, February.
    20. Hailun Zhang & Jiheng Zhang & Rachel Q. Zhang, 2020. "Simple Policies with Provable Bounds for Managing Perishable Inventory," Production and Operations Management, Production and Operations Management Society, vol. 29(11), pages 2637-2650, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:140:y:2012:i:2:p:660-669. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.