IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v45y1998i3p279-295.html
   My bibliography  Save this article

Solution algorithms for the parallel replacement problem under economy of scale

Author

Listed:
  • Zhi‐Long Chen

Abstract

We consider the parallel replacement problem in which machine investment costs exhibit economy of scale which is modeled through associating both fixed and variable costs with machine investment costs. Both finite‐ and infinite‐horizon cases are investigated. Under the three assumptions made in the literature on the problem parameters, we show that the finite‐horizon problem with time‐varying parameters is equivalent to a shortest path problem and hence can be solved very efficiently, and give a very simple and fast algorithm for the infinite‐horizon problem with time‐invariant parameters. For the general finite‐horizon problem without any assumption on the problem parameters, we formulate it as a zero‐one integer program and propose an algorithm for solving it exactly based on Benders' decomposition. Computational results show that this solution algorithm is efficient, i.e., it is capable of solving large scale problems within a reasonable cpu time, and robust, i.e., the number of iterations needed to solve a problem does not increase quickly with the problem size. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 279–295, 1998

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:45:y:1998:i:3:p:279-295
    DOI: 10.1002/(SICI)1520-6750(199804)45:33.0.CO;2-4
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1520-6750(199804)45:33.0.CO;2-4
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1520-6750(199804)45:33.0.CO;2-4?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. Nejat Karabakal & Jack R. Lohmann & James C. Bean, 1994. "Parallel Replacement under Capital Rationing Constraints," Management Science, INFORMS, vol. 40(3), pages 305-319, March.
    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. Suresh Sethi & Suresh Chand, 1979. "Planning Horizon Procedures for Machine Replacement Models," Management Science, INFORMS, vol. 25(2), pages 140-151, February.
    4. 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.
    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. Peiling Wu & Joseph C. Hartman & George R. Wilson, 2005. "An Integrated Model and Solution Approach for Fleet Sizing with Heterogeneous Assets," Transportation Science, INFORMS, vol. 39(1), pages 87-103, February.
    2. Joseph C. Hartman, 2000. "The parallel replacement problem with demand and capital budgeting constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(1), pages 40-56, February.
    3. Suzanne Childress & Pablo Durango‐Cohen, 2005. "On parallel machine replacement problems with general replacement cost functions and stochastic deterioration," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 409-419, 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. Joseph C. Hartman, 2000. "The parallel replacement problem with demand and capital budgeting constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(1), pages 40-56, February.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Yuri Yatsenko & Natali Hritonenko, 2016. "Asset replacement under improving operating and capital costs: a practical approach," International Journal of Production Research, Taylor & Francis Journals, vol. 54(10), pages 2922-2933, May.
    7. Natali Hritonenko & Yuri Yatsenko, 2012. "Fleet replacement under technological shocks," Annals of Operations Research, Springer, vol. 196(1), pages 311-331, July.
    8. Yatsenko, Yuri & Hritonenko, Natali, 2011. "Economic life replacement under improving technology," International Journal of Production Economics, Elsevier, vol. 133(2), pages 596-602, October.
    9. Hartman, Joseph C., 2004. "Multiple asset replacement analysis under variable utilization and stochastic demand," European Journal of Operational Research, Elsevier, vol. 159(1), pages 145-165, November.
    10. 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.
    11. 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.
    12. Hongmin Li & Stephen C. Graves & Woonghee Tim Huh, 2014. "Optimal Capacity Conversion for Product Transitions Under High Service Requirements," Manufacturing & Service Operations Management, INFORMS, vol. 16(1), pages 46-60, February.
    13. Suzanne Childress & Pablo Durango‐Cohen, 2005. "On parallel machine replacement problems with general replacement cost functions and stochastic deterioration," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 409-419, August.
    14. 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.
    15. 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.
    16. Lim, Seung-Kil & Kim, Yeong-Dae, 1998. "Capacity planning for phased implementation of flexible manufacturing systems under budget restrictions," European Journal of Operational Research, Elsevier, vol. 104(1), pages 175-186, January.
    17. Scarf, Philip A. & Martin, Harry H., 2001. "A framework for maintenance and replacement of a network structured system," International Journal of Production Economics, Elsevier, vol. 69(3), pages 287-296, February.
    18. Philip C. Jones & James L. Zydiak & Wallace J. Hopp, 1991. "Parallel machine replacement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 351-365, June.
    19. Spiritus, Kevin & Lehmann, Etienne & Renes, Sander & Zoutman, Floris T., 0. "Optimal taxation with multiple incomes and types," Theoretical Economics, Econometric Society.
    20. Chand, Suresh & McClurg, Tim & Ward, Jim, 2000. "A model for parallel machine replacement with capacity expansion," European Journal of Operational Research, Elsevier, vol. 121(3), pages 519-531, March.

    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:45:y:1998:i:3:p:279-295. 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.