IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v36y1989i2p179-195.html
   My bibliography  Save this article

An approximation to the stationary distribution of a multiechelon repairable‐item inventory system with finite sources and repair channels

Author

Listed:
  • S. Christian Albright

Abstract

We consider a multiechelon repairable‐item inventory system where several bases are supported by a central depot. Unlike METRIC‐based models, there are only a finite number of repairmen at each base and the depot, and the failure rates at the bases depend on the current number of items online. The principal objective of this article is to develop a quick and accurate approximation to the steady‐state distribution of this system. A secondary objective is to compare the solution of this system with a comparable METRIC solution.

Suggested Citation

  • S. Christian Albright, 1989. "An approximation to the stationary distribution of a multiechelon repairable‐item inventory system with finite sources and repair channels," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(2), pages 179-195, April.
    • Handle: RePEc:wly:navres:v:36:y:1989:i:2:p:179-195
    DOI: 10.1002/1520-6750(198904)36:23.0.CO;2-D
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(198904)36:23.0.CO;2-D
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(198904)36:23.0.CO;2-D?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. Donald Gross & Henry D. Kahn & Joseph D. Marsh, 1977. "Queueing models for spares provisioning," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 24(4), pages 521-536, December.
    2. S. Christian Albright & A. Soni, 1988. "Markovian multiechelon repairable inventory system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 49-61, February.
    3. Donald Gross, 1982. "On the Ample Service Assumption of Palm's Theorem in Inventory Modeling," Management Science, INFORMS, vol. 28(9), pages 1065-1079, September.
    4. Donald Gross & Leonidas C. Kioussis & Douglas R. Miller, 1987. "Transient behavior of large Markovian multiechelon repairable item inventory systems using a truncated state space approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(2), pages 173-198, April.
    5. Craig C. Sherbrooke, 1971. "An Evaluator for the Number of Operationally Ready Aircraft in a Multilevel Supply System," Operations Research, INFORMS, vol. 19(3), pages 618-635, June.
    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. Diaz, Angel & Fu, Michael C., 1997. "Models for multi-echelon repairable item inventory systems with limited repair capacity," European Journal of Operational Research, Elsevier, vol. 97(3), pages 480-492, March.
    2. Fritzsche, R., 2012. "Cost adjustment for single item pooling models using a dynamic failure rate: A calculation for the aircraft industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1065-1079.
    3. Rustenburg, W. D. & van Houtum, G. J. & Zijm, W. H. M., 2001. "Spare parts management at complex technology-based organizations: An agenda for research," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 177-193, 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. Guide, V. Daniel R. & Srivastava, Rajesh, 1997. "Repairable inventory theory: Models and applications," European Journal of Operational Research, Elsevier, vol. 102(1), pages 1-20, October.
    2. Selçuk, B., 2013. "An adaptive base stock policy for repairable item inventory control," International Journal of Production Economics, Elsevier, vol. 143(2), pages 304-315.
    3. Alan J. Kaplan, 1989. "Incorporating redundancy considerations into stockage models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(5), pages 625-638, October.
    4. J P J van Kooten & T Tan, 2009. "The final order problem for repairable spare parts under condemnation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(10), pages 1449-1461, October.
    5. Diaz, Angel & Fu, Michael C., 1997. "Models for multi-echelon repairable item inventory systems with limited repair capacity," European Journal of Operational Research, Elsevier, vol. 97(3), pages 480-492, March.
    6. Nasuh Buyukkaramikli & Henny Ooijen & J. Bertrand, 2015. "Integrating inventory control and capacity management at a maintenance service provider," Annals of Operations Research, Springer, vol. 231(1), pages 185-206, August.
    7. Knofius, N. & van der Heijden, M.C. & Zijm, W.H.M., 2019. "Consolidating spare parts for asset maintenance with additive manufacturing," International Journal of Production Economics, Elsevier, vol. 208(C), pages 269-280.
    8. de Haas, Harrie F. M. & Verrijdt, Jos H. C. M., 1997. "Target setting for the departments in an aircraft repairable item system," European Journal of Operational Research, Elsevier, vol. 99(3), pages 596-602, June.
    9. S. Christian Albright & A. Soni, 1988. "Markovian multiechelon repairable inventory system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 49-61, February.
    10. Rustenburg, W. D. & van Houtum, G. J. & Zijm, W. H. M., 2001. "Spare parts management at complex technology-based organizations: An agenda for research," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 177-193, May.

    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:36:y:1989:i:2:p:179-195. 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.