IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v34y1987i5p655-667.html
   My bibliography  Save this article

Renewal approximation to optimal order quantity for a class of continuous‐review inventory systems

Author

Listed:
  • Izzet Sahin
  • Diptendu Sinha

Abstract

Using a wide range of demand distributions and parameter settings, we examine the performance of an easily computable order‐quantity approximation for a class of continuous‐review inventory systems under a compound‐renewal demand process. The approximation is derived by using some asymptotic results from renewal theory. The emphasis is on the conditions for the accuracy of the approximation. We find that when the item is to be stocked, the approximation is practically the same as the optimal order quantity, provided that the batch‐size coefficient of variation is ≦1. Otherwise, the ratio of setup (ordering) cost to mean interarrival time must be large enough, as prescribed by a simple condition derived in the article based on empirical considerations.

Suggested Citation

  • Izzet Sahin & Diptendu Sinha, 1987. "Renewal approximation to optimal order quantity for a class of continuous‐review inventory systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(5), pages 655-667, October.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:5:p:655-667
    DOI: 10.1002/1520-6750(198710)34:53.0.CO;2-V
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(198710)34:53.0.CO;2-V
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(198710)34:53.0.CO;2-V?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. Steven Nahmias, 1976. "On the equivalence of three approximate continuous review inventory models," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(1), pages 31-36, March.
    2. Shaler Stidham, 1977. "Cost Models for Stochastic Clearing Systems," Operations Research, INFORMS, vol. 25(1), pages 100-127, February.
    3. Blyth C. Archibald & Edward A. Silver, 1978. "(s, S) Policies Under Continuous Review and Discrete Compound Poisson Demand," Management Science, INFORMS, vol. 24(9), pages 899-909, May.
    4. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    Full references (including those not matched with items on IDEAS)

    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. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Continuous‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 154-169, January.
    2. Xiang, Mengyuan & Rossi, Roberto & Martin-Barragan, Belen & Tarim, S. Armagan, 2018. "Computing non-stationary (s, S) policies using mixed integer linear programming," European Journal of Operational Research, Elsevier, vol. 271(2), pages 490-500.
    3. Tunc, Huseyin & Kilic, Onur A. & Tarim, S. Armagan & Eksioglu, Burak, 2011. "The cost of using stationary inventory policies when demand is non-stationary," Omega, Elsevier, vol. 39(4), pages 410-415, August.
    4. Król, Michał, 2012. "Product differentiation decisions under ambiguous consumer demand and pessimistic expectations," International Journal of Industrial Organization, Elsevier, vol. 30(6), pages 593-604.
    5. G. Sujatha, 2018. "‘Is It Family or Politics?’ Reflections on Gender and the Modern Tamil Subjectivity Constitution in the Discourse of C. N. Annadurai," Studies in Indian Politics, , vol. 6(2), pages 267-281, December.
    6. repec:dgr:rugsom:04a27 is not listed on IDEAS
    7. Sergio Sousa, 2010. "Small-scale changes in wealth and attitudes toward risk," Discussion Papers 2010-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    8. Laczó, Sarolta & Rossi, Raffaele, 2020. "Time-consistent consumption taxation," Journal of Monetary Economics, Elsevier, vol. 114(C), pages 194-220.
    9. Pratap, Sangeeta & Urrutia, Carlos, 2004. "Firm dynamics, investment and debt portfolio: balance sheet effects of the Mexican crisis of 1994," Journal of Development Economics, Elsevier, vol. 75(2), pages 535-563, December.
    10. D’Erasmo, P. & Mendoza, E.G. & Zhang, J., 2016. "What is a Sustainable Public Debt?," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2493-2597, Elsevier.
    11. Alain Egli, 2005. "Hotelling's Beach with Linear and Quadratic Transportation Costs: Existence of Pure Strategy Equilibria," Diskussionsschriften dp0509, Universitaet Bern, Departement Volkswirtschaft.
    12. Matteo Iacoviello, 2008. "Household Debt and Income Inequality, 1963–2003," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(5), pages 929-965, August.
    13. Goh, Kim-Leng & King, Maxwell L., 1996. "Modified Wald tests for non-linear restrictions: A cautionary tale," Economics Letters, Elsevier, vol. 53(2), pages 133-138, November.
    14. Ken Miyajima, 2013. "Foreign exchange intervention and expectation in emerging economies," BIS Working Papers 414, Bank for International Settlements.
    15. Alisdair McKay, 2011. "Household Saving Behavior and Social Security Privatization," Boston University - Department of Economics - Working Papers Series WP2011-027, Boston University - Department of Economics.
    16. Massimo A. De Francesco, 2003. "On a property of mixed strategy equilibria of the pricing game," Economics Bulletin, AccessEcon, vol. 4(30), pages 1-8.
    17. Neely, Christopher J. & Weller, Paul, 2000. "Predictability in International Asset Returns: A Reexamination," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(4), pages 601-620, December.
    18. Mika Meitz & Pentti Saikkonen, 2008. "Stability of nonlinear AR‐GARCH models," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(3), pages 453-475, May.
    19. De Bonis, Valeria, 1997. "Regional integration and factor income taxation," Policy Research Working Paper Series 1849, The World Bank.
    20. Fernando Alvarez & Francesco Lippi & Roberto Robatto, 2019. "Cost of Inflation in Inventory Theoretical Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 32, pages 206-226, April.
    21. Gantner, Anita & Horn, Kristian & Kerschbamer, Rudolf, 2016. "Fair and efficient division through unanimity bargaining when claims are subjective," Journal of Economic Psychology, Elsevier, vol. 57(C), pages 56-73.

    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:34:y:1987:i:5:p:655-667. 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.