IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0187725.html
   My bibliography  Save this article

Forecast horizon of multi-item dynamic lot size model with perishable inventory

Author

Listed:
  • Fuying Jing
  • Zirui Lan

Abstract

This paper studies a multi-item dynamic lot size problem for perishable products where stock deterioration rates and inventory costs are age-dependent. We explore structural properties in an optimal solution under two cost structures and develop a dynamic programming algorithm to solve the problem in polynomial time when the number of products is fixed. We establish forecast horizon results that can help the operation manager to decide the precise forecast horizon in a rolling decision-making process. Finally, based on a detailed test bed of instance, we obtain useful managerial insights on the impact of deterioration rate and lifetime of products on the length of forecast horizon.

Suggested Citation

  • Fuying Jing & Zirui Lan, 2017. "Forecast horizon of multi-item dynamic lot size model with perishable inventory," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-15, November.
  • Handle: RePEc:plo:pone00:0187725
    DOI: 10.1371/journal.pone.0187725
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0187725
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0187725&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0187725?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
    ---><---

    References listed on IDEAS

    as
    1. Rajagopalan, S., 1994. "Capacity expansion with alternative technology choices," European Journal of Operational Research, Elsevier, vol. 77(3), pages 392-403, September.
    2. Suresh Chand & Suresh P. Sethi & Gerhard Sorger, 1992. "Forecast Horizons in the Discounted Dynamic Lot Size Model," Management Science, INFORMS, vol. 38(7), pages 1034-1048, July.
    3. Rolf A. Lundin & Thomas E. Morton, 1975. "Planning Horizons for the Dynamic Lot Size Model: Zabel vs. Protective Procedures and Computational Results," Operations Research, INFORMS, vol. 23(4), pages 711-734, August.
    4. Archis Ghate & Robert L. Smith, 2009. "Optimal Backlogging Over an Infinite Horizon Under Time-Varying Convex Production and Inventory Costs," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 362-368, June.
    5. J. Mensching & S. Garstka & T. Morton, 1978. "Protective Planning-Horizon Procedures for a Deterministic Cash Balance Problem," Operations Research, INFORMS, vol. 26(4), pages 637-652, August.
    6. Suresh Chand & Thomas E. Morton, 1982. "A Perfect Planning Horizon Procedure for a Deterministic Cash Balance Problem," Management Science, INFORMS, vol. 28(6), pages 652-669, June.
    7. Awi Federgruen & Michal Tzur, 1995. "Fast Solution and Detection of Minimal Forecast Horizons in Dynamic Programs with a Single Indicator of the Future: Applications to Dynamic Lot-Sizing Models," Management Science, INFORMS, vol. 41(5), pages 874-893, May.
    8. Michal Tzur, 1996. "Learning in Setups: Analysis, Minimal Forecast Horizons, and Algorithms," Management Science, INFORMS, vol. 42(12), pages 1732-1743, December.
    9. Joseph D. Blackburn & Howard Kunreuther, 1974. "Planning Horizons for the Dynamic Lot Size Model with Backlogging," Management Science, INFORMS, vol. 21(3), pages 251-255, November.
    10. Brojeswar Pal & Shib Sankar Sana & Kripasindhu Chaudhuri, 2016. "Two-echelon competitive integrated supply chain model with price and credit period dependent demand," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 995-1007, April.
    11. Edward P. C. Kao, 1979. "A Multi-Product Dynamic Lot-Size Model with Individual and Joint Set-up Costs," Operations Research, INFORMS, vol. 27(2), pages 279-289, April.
    12. Richard A. Sandbothe & Gerald L. Thompson, 1990. "A Forward Algorithm for the Capacitated Lot Size Model with Stockouts," Operations Research, INFORMS, vol. 38(3), pages 474-486, June.
    13. Claudio Arena & Marcella Cannarozzo & Mario Rosario Mazzola, 2017. "Exploring the Potential and the Boundaries of the Rolling Horizon Technique for the Management of Reservoir Systems with over-Year Behaviour," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(3), pages 867-884, February.
    14. Milind Dawande & Srinagesh Gavirneni & Sanjeewa Naranpanawe & Suresh Sethi, 2007. "Forecast Horizons for a Class of Dynamic Lot-Size Problems Under Discrete Future Demand," Operations Research, INFORMS, vol. 55(4), pages 688-702, August.
    15. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    16. Gary D. Eppen & F. J. Gould & B. Peter Pashigian, 1969. "Extensions of the Planning Horizon Theorem in the Dynamic Lot Size Model," Management Science, INFORMS, vol. 15(5), pages 268-277, January.
    17. Dawande, Milind & Gavirneni, Srinagesh & Naranpanawe, Sanjeewa & Sethi, Suresh P., 2009. "Discrete forecast horizons for two-product variants of the dynamic lot-size problem," International Journal of Production Economics, Elsevier, vol. 120(2), pages 430-436, August.
    18. Suresh Chand & Vernon Ning Hsu & Suresh Sethi, 2002. "Forecast, Solution, and Rolling Horizons in Operations Management Problems: A Classified Bibliography," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 25-43, September.
    19. Suresh Sethi & Suresh Chand, 1979. "Planning Horizon Procedures for Machine Replacement Models," Management Science, INFORMS, vol. 25(2), pages 140-151, February.
    20. Suresh Sethi & Suresh Chand, 1981. "Multiple Finite Production Rate Dynamic Lot Size Inventory Models," Operations Research, INFORMS, vol. 29(5), pages 931-944, October.
    21. Awi Federgruen & Michal Tzur, 1994. "Minimal Forecast Horizons and a New Planning Procedure for the General Dynamic Lot Sizing Model: Nervousness Revisited," Operations Research, INFORMS, vol. 42(3), pages 456-468, June.
    22. Edward Zabel, 1964. "Some Generalizations of an Inventory Planning Horizon Theorem," Management Science, INFORMS, vol. 10(3), pages 465-471, April.
    23. Suresh Chand & Thomas E. Morton, 1986. "Minimal forecast horizon procedures for dynamic lot size models," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(1), pages 111-122, February.
    24. Milind Dawande & Srinagesh Gavirneni & Yinping Mu & Suresh Sethi & Chelliah Sriskandarajah, 2010. "On the Interaction Between Demand Substitution and Production Changeovers," Manufacturing & Service Operations Management, INFORMS, vol. 12(4), pages 682-691, September.
    25. S. Rajagopalan, 1992. "Deterministic Capacity Expansion Under Deterioration," Management Science, INFORMS, vol. 38(4), pages 525-539, April.
    26. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
    27. Chung, Chia-Shin & Hum, Sin-Hoon & Kirca, Omer, 1996. "The coordinated replenishment dynamic lot-sizing problem with quantity discounts," European Journal of Operational Research, Elsevier, vol. 94(1), pages 122-133, October.
    28. Amit Bardhan & Milind Dawande & Srinagesh Gavirneni & Yinping Mu & Suresh Sethi, 2013. "Forecast and rolling horizons under demand substitution and production changeovers: analysis and insights," IISE Transactions, Taylor & Francis Journals, vol. 45(3), pages 323-340.
    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. Fernando Rojas & Víctor Leiva & Peter Wanke & Camilo Lillo & Jimena Pascual, 2019. "Modeling lot-size with time-dependent demand based on stochastic programming and case study of drug supply in Chile," PLOS ONE, Public Library of Science, vol. 14(3), pages 1-24, March.
    2. Mahmood Vahdani & Zeinab Sazvar & Kannan Govindan, 2022. "An integrated economic disposal and lot-sizing problem for perishable inventories with batch production and corrupt stock-dependent holding cost," Annals of Operations Research, Springer, vol. 315(2), pages 2135-2167, August.

    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. Suresh Chand & Vernon Ning Hsu & Suresh Sethi, 2002. "Forecast, Solution, and Rolling Horizons in Operations Management Problems: A Classified Bibliography," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 25-43, September.
    2. Awi Federgruen & Michal Tzur, 1996. "Detection of minimal forecast horizons in dynamic programs with multiple indicators of the future," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(2), pages 169-189, March.
    3. Milind Dawande & Srinagesh Gavirneni & Sanjeewa Naranpanawe & Suresh Sethi, 2007. "Forecast Horizons for a Class of Dynamic Lot-Size Problems Under Discrete Future Demand," Operations Research, INFORMS, vol. 55(4), pages 688-702, August.
    4. Jing, Fuying & Chao, Xiangrui, 2022. "Forecast horizons for a two-echelon dynamic lot-sizing problem," Omega, Elsevier, vol. 110(C).
    5. Archis Ghate & Robert L. Smith, 2009. "Optimal Backlogging Over an Infinite Horizon Under Time-Varying Convex Production and Inventory Costs," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 362-368, June.
    6. Jans, R.F. & Degraeve, Z., 2005. "Modeling Industrial Lot Sizing Problems: A Review," ERIM Report Series Research in Management ERS-2005-049-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    7. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
    8. Kimms, Alf, 1996. "Stability measures for rolling schedules with applications to capacity expansion planning, master production scheduling, and lot sizing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 418, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. Kimms, A, 1998. "Stability Measures for Rolling Schedules with Applications to Capacity Expansion Planning, Master Production Scheduling, and Lot Sizing," Omega, Elsevier, vol. 26(3), pages 355-366, June.
    10. Brahimi, Nadjib & Dauzere-Peres, Stephane & Najid, Najib M. & Nordli, Atle, 2006. "Single item lot sizing problems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 1-16, January.
    11. Marshall Fisher & Kamalini Ramdas & Yu-Sheng Zheng, 2001. "Ending Inventory Valuation in Multiperiod Production Scheduling," Management Science, INFORMS, vol. 47(5), pages 679-692, May.
    12. Robert L. Smith & Rachel Q. Zhang, 1998. "Infinite Horizon Production Planning in Time-Varying Systems with Convex Production and Inventory Costs," Management Science, INFORMS, vol. 44(9), pages 1313-1320, September.
    13. Alain Bensoussan & Jean‐Marie Proth & Maurice Queyranne, 1991. "A planning horizon algorithm for deterministic inventory management with piecewise linear concave costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 729-742, October.
    14. Suresh Chand & Sunantha Teyarachakul Prime & Suresh Sethi, 2018. "Production planning with multiple production lines: Forward algorithm and insights on process design for volume flexibility," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(6-7), pages 535-549, September.
    15. Milind Dawande & Srinagesh Gavirneni & Yinping Mu & Suresh Sethi & Chelliah Sriskandarajah, 2010. "On the Interaction Between Demand Substitution and Production Changeovers," Manufacturing & Service Operations Management, INFORMS, vol. 12(4), pages 682-691, September.
    16. Michael Bastian, 1992. "A perfect lot‐tree procedure for the discounted dynamic lot‐size problem with speculation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 651-668, August.
    17. Brahimi, Nadjib & Absi, Nabil & Dauzère-Pérès, Stéphane & Nordli, Atle, 2017. "Single-item dynamic lot-sizing problems: An updated survey," European Journal of Operational Research, Elsevier, vol. 263(3), pages 838-863.
    18. Richter, Knut & Sombrutzki, Mirko, 2000. "Remanufacturing planning for the reverse Wagner/Whitin models," European Journal of Operational Research, Elsevier, vol. 121(2), pages 304-315, March.
    19. Bhattacharjee, Sudip & Ramesh, R., 2000. "A multi-period profit maximizing model for retail supply chain management: An integration of demand and supply-side mechanisms," European Journal of Operational Research, Elsevier, vol. 122(3), pages 584-601, May.
    20. Charles, Mehdi & Dauzère-Pérès, Stéphane & Kedad-Sidhoum, Safia & Mazhoud, Issam, 2022. "Motivations and analysis of the capacitated lot-sizing problem with setup times and minimum and maximum ending inventories," European Journal of Operational Research, Elsevier, vol. 302(1), pages 203-220.

    More about this item

    Statistics

    Access and download statistics

    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:plo:pone00:0187725. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.