IDEAS home Printed from https://ideas.repec.org/p/ems/eureir/1536.html
   My bibliography  Save this paper

A Deterministic Inventory/Production Model with General Inventory Cost Rate Function and Concave Production Costs

Author

Listed:
  • Birbil, S.I.
  • Frenk, J.B.G.
  • Bayindir, Z.P.

Abstract

We present a thorough analysis of the economic order quantity model with shortages under a general inventory cost rate function and concave production costs. By using some standard results from convex analysis, we show that the model exhibits a composite concave-convex structure. Consequently, an effective solution procedure, particularly useful for an approximation scheme, is proposed. A computational study is appended to illustrate the performance of the proposed solution procedure.

Suggested Citation

  • Birbil, S.I. & Frenk, J.B.G. & Bayindir, Z.P., 2004. "A Deterministic Inventory/Production Model with General Inventory Cost Rate Function and Concave Production Costs," Econometric Institute Research Papers ERS-2004-064-LIS, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:1536
    as

    Download full text from publisher

    File URL: https://repub.eur.nl/pub/1536/ERS%202004%20064%20LIS.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Frenk, J. B. G. & Kleijn, M. J. & Dekker, R., 1999. "An efficient algorithm for a generalized joint replenishment problem," European Journal of Operational Research, Elsevier, vol. 118(2), pages 413-428, October.
    2. Bayindir, Z.P. & Birbil, S.I. & Frenk, J.B.G., 2004. "A Multi-Item Inventory Model With Joint Setup And Concave Production Costs," Econometric Institute Research Papers ERS-2004-044-LIS, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Bayindir, Z.P. & Birbil, S.I. & Frenk, J.B.G., 2004. "A Multi-Item Inventory Model With Joint Setup And Concave Production Costs," ERIM Report Series Research in Management ERS-2004-044-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.
    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. Bayindir, Z.P. & Birbil, S.I. & Frenk, J.B.G., 2007. "A deterministic inventory/production model with general inventory cost rate function and piecewise linear concave production costs," European Journal of Operational Research, Elsevier, vol. 179(1), pages 114-123, May.

    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. Birbil, S.I. & Frenk, J.B.G. & Bayindir, Z.P., 2004. "A Deterministic Inventory/Production Model with General Inventory Cost Rate Function and Concave Production Costs," ERIM Report Series Research in Management ERS-2004-064-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.
    2. Frenk, J. B. G. & Kleijn, M. J. & Dekker, R., 1999. "An efficient algorithm for a generalized joint replenishment problem," European Journal of Operational Research, Elsevier, vol. 118(2), pages 413-428, October.
    3. Rempala, Ryszarda, 2003. "Joint replenishment multiproduct inventory problem with continuous production and discrete demands," International Journal of Production Economics, Elsevier, vol. 81(1), pages 495-511, January.
    4. Bayindir, Z.P. & Birbil, S.I. & Frenk, J.B.G., 2007. "A deterministic inventory/production model with general inventory cost rate function and piecewise linear concave production costs," European Journal of Operational Research, Elsevier, vol. 179(1), pages 114-123, May.
    5. Bayindir, Z.P. & Birbil, S.I. & Frenk, J.B.G., 2006. "The joint replenishment problem with variable production costs," European Journal of Operational Research, Elsevier, vol. 175(1), pages 622-640, November.

    More about this item

    Keywords

    Inventory; concave production cost; concave-convex programming; general inventory cost function;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics
    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management
    • R4 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics

    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:ems:eureir:1536. 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: RePub (email available below). General contact details of provider: https://edirc.repec.org/data/feeurnl.html .

    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.