IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v44y1997i8p757-774.html
   My bibliography  Save this article

A dynamic‐programming approach to continuous‐review obsolescent inventory problems

Author

Listed:
  • Israel David
  • Eitan Greenshtein
  • Avraham Mehrez

Abstract

Inventory models of modern production and service operations should take into consideration possible exogenous failures or the abrupt decline of demand resulting from obsolescence. This article analyzes continuous‐review versions of the classical obsolescence problem in inventory theory. We assume a deterministic demand model and general continuous random times to obsolescence (“failure”). Using continuous dynamic programming, we investigate structural properties of the problem and propose explicit and workable solution techniques. These techniques apply to two fairly wide (and sometimes overlapping) classes of failure distributions: those which are increasing in failure rate and those which have finite support. Consequently, several specific failure processes in continuous time are given exact solutions. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 757–774, 1997

Suggested Citation

  • Israel David & Eitan Greenshtein & Avraham Mehrez, 1997. "A dynamic‐programming approach to continuous‐review obsolescent inventory problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(8), pages 757-774, December.
    • Handle: RePEc:wly:navres:v:44:y:1997:i:8:p:757-774
    DOI: 10.1002/(SICI)1520-6750(199712)44:83.0.CO;2-9
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1520-6750(199712)44:83.0.CO;2-9
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1520-6750(199712)44:83.0.CO;2-9?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. Robert R. Meyer & Michael H. Rothkopf & Stephen A. Smith, 1979. "Reliability and Inventory in a Production-Storage System," Management Science, INFORMS, vol. 25(8), pages 799-807, August.
    2. M. Berg & M. J. M. Posner & H. Zhao, 1994. "Production-Inventory Systems with Unreliable Machines," Operations Research, INFORMS, vol. 42(1), pages 111-118, February.
    3. William P. Pierskalla, 1969. "An inventory problem with obsolescence," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 16(2), pages 217-228, June.
    4. Wallace J. Hopp & Suresh K. Nair, 1991. "Timing replacement decisions under discontinuous technological change," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 203-220, April.
    5. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    6. Tzvi Goldstein & Shaul P. Ladany & Abraham Mehrez, 1988. "A discounted machine‐replacement model with an expected future technological breakthrough," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(2), pages 209-220, April.
    7. George W. Brown & John Y. Lu & Robert J. Wolfson, 1964. "Dynamic Modeling of Inventories Subject to Obsolescence," Management Science, INFORMS, vol. 11(1), pages 51-63, September.
    8. Israel David & Avraham Mehrez, 1995. "An Inventory Model with Exogenous Failures," Operations Research, INFORMS, vol. 43(5), pages 902-903, October.
    9. Suresh Sethi & Suresh Chand, 1979. "Planning Horizon Procedures for Machine Replacement Models," Management Science, INFORMS, vol. 25(2), pages 140-151, February.
    10. James C. Bean & Jack R. Lohmann & Robert L. Smith, 1994. "Equipment replacement under technological change," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(1), pages 117-128, February.
    11. Sethi, Suresh P. & Taksar, Michael I. & Presman, Ernst L., 1995. "Erratum," Journal of Economic Dynamics and Control, Elsevier, vol. 19(5-7), pages 1297-1298.
    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. Ozyoruk, Emin & Erkip, Nesim Kohen & Ararat, Çağın, 2022. "End-of-life inventory management problem: Results and insights," International Journal of Production Economics, Elsevier, vol. 243(C).
    2. Krikke, H.R. & van der Laan, E., 2009. "Last Time Buy and Control Policies With Phase-Out Returns : A Case Study in Plant Control Systems," Other publications TiSEM c1a3c438-6d31-4147-afd7-8, Tilburg University, School of Economics and Management.
    3. Markus Emsermann & Burton Simon, 2007. "Optimal Control of an Inventory with Simultaneous Obsolescence," Interfaces, INFORMS, vol. 37(5), pages 445-454, October.

    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. Zhi‐Long Chen, 1998. "Solution algorithms for the parallel replacement problem under economy of scale," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(3), pages 279-295, April.
    2. Wallace J. Hopp & Suresh K. Nair, 1991. "Timing replacement decisions under discontinuous technological change," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 203-220, April.
    3. Yatsenko, Yuri & Hritonenko, Natali, 2011. "Economic life replacement under improving technology," International Journal of Production Economics, Elsevier, vol. 133(2), pages 596-602, October.
    4. Yatsenko, Yuri & Hritonenko, Natali, 2008. "Properties of optimal service life under technological change," International Journal of Production Economics, Elsevier, vol. 114(1), pages 230-238, July.
    5. 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.
    6. A. Bensoussan & Q. Feng & S. P. Sethi, 2022. "Integrating equipment investment strategy with maintenance operations under uncertain failures," Annals of Operations Research, Springer, vol. 317(2), pages 353-386, October.
    7. 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.
    8. Mørch, Ove & Fagerholt, Kjetil & Pantuso, Giovanni & Rakke, Jørgen, 2017. "Maximizing the rate of return on the capital employed in shipping capacity renewal," Omega, Elsevier, vol. 67(C), pages 42-53.
    9. S. Bylka & S. Sethi & G. Sorger, 1992. "Minimal forecast horizons in equipment replacement models with multiple technologies and general switching costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(4), pages 487-507, June.
    10. Ali Dogramaci & Nelson M. Fraiman, 2004. "Replacement Decisions with Maintenance Under Uncertainty: An Imbedded Optimal Control Model," Operations Research, INFORMS, vol. 52(5), pages 785-794, October.
    11. Yu. Yatsenko & N. Hritonenko, 2007. "Network economics and optimal replacement of age-structured IT capital," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(3), pages 483-497, June.
    12. Bauer, L. & Mumey, G.A. & Lohr, W., 1989. "Economic Replacement Strategies for Dairy Cattle," Project Report Series 232069, University of Alberta, Department of Resource Economics and Environmental Sociology.
    13. Süleyman Demirel & Roman Kapuscinski & Man Yu, 2018. "Strategic Behavior of Suppliers in the Face of Production Disruptions," Management Science, INFORMS, vol. 64(2), pages 533-551, February.
    14. Yatsenko, Yuri & Hritonenko, Natali, 2017. "Machine replacement under evolving deterministic and stochastic costs," International Journal of Production Economics, Elsevier, vol. 193(C), pages 491-501.
    15. Markus Emsermann & Burton Simon, 2007. "Optimal Control of an Inventory with Simultaneous Obsolescence," Interfaces, INFORMS, vol. 37(5), pages 445-454, October.
    16. Suresh P. Sethi & Sushil Gupta & Vipin K. Agrawal & Vijay K. Agrawal, 2022. "Nobel laureates’ contributions to and impacts on operations management," Production and Operations Management, Production and Operations Management Society, vol. 31(12), pages 4283-4303, December.
    17. Pinçe, Çerag & Dekker, Rommert, 2011. "An inventory model for slow moving items subject to obsolescence," European Journal of Operational Research, Elsevier, vol. 213(1), pages 83-95, August.
    18. Suresh Chand & Tim McClurg & Jim Ward, 1993. "A single‐machine replacement model with learning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(2), pages 175-192, March.
    19. Tzvi Goldstein & Shaul P. Ladany & Abraham Mehrez, 1988. "A discounted machine‐replacement model with an expected future technological breakthrough," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(2), pages 209-220, April.
    20. Yatsenko, Yuri & Hritonenko, Natali, 2015. "Algorithms for asset replacement under limited technological forecast," International Journal of Production Economics, Elsevier, vol. 160(C), pages 26-33.

    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:wly:navres:v:44:y:1997:i:8:p:757-774. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.