IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v33y1987i9p1173-1180.html
   My bibliography  Save this article

Optimal Server Allocation in a System of Multi-Server Stations

Author

Listed:
  • J. George Shanthikumar

    (School of Business Administration, University of California, Berkeley, California 94720)

  • David D. Yao

    (Division of Applied Sciences, Harvard University, Cambridge, Massachusetts 02138)

Abstract

Consider a closed queueing network (Gordon and Newell [Gordon, W. J., G. F. Newell. 1967. Closed queueing networks with exponential servers. Oper. Res. 15 252--267.]) with a set of stations. The service rate at each station is an increasing concave function of the number of jobs at that station. Suppose there also exists a station that has c (\ge 1) parallel servers, each of which has a fixed service rate. We show that the throughput of this network is an increasing concave function with respect to c. This result is then applied to solve the optimal server allocation problem in a system of multi-server stations with a fixed buffer capacity (for the total number of jobs) at each station. For a single-station system, the simultaneous optimal allocation of both servers and buffer capacity is also studied.

Suggested Citation

  • J. George Shanthikumar & David D. Yao, 1987. "Optimal Server Allocation in a System of Multi-Server Stations," Management Science, INFORMS, vol. 33(9), pages 1173-1180, September.
    • Handle: RePEc:inm:ormnsc:v:33:y:1987:i:9:p:1173-1180
    DOI: 10.1287/mnsc.33.9.1173
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.33.9.1173
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.33.9.1173?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Moshe Shaked & J. Shanthikumar, 1990. "Parametric stochastic convexity and concavity of stochastic processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(3), pages 509-531, September.
    2. Michelle Opp & Kevin Glazebrook & Vidyadhar G. Kulkarni, 2005. "Outsourcing warranty repairs: Dynamic allocation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 381-398, August.
    3. Frenk, J.B.G. & Labbé, M. & van Vliet, M. & Zhang, S., 1994. "Improved algorithms for machine allocation in manufacturing systems," Econometric Institute Research Papers 11742, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Aksin, O. Zeynep & Harker, Patrick T., 2003. "Capacity sizing in the presence of a common shared resource: Dimensioning an inbound call center," European Journal of Operational Research, Elsevier, vol. 147(3), pages 464-483, June.
    5. Waal, P.R. & Dijk, N.M. van, 1988. "Monotonicity of performance measures in a processor sharing queue," Serie Research Memoranda 0051, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    6. Kochel, Peter, 2004. "Finite queueing systems--structural investigations and optimal design," International Journal of Production Economics, Elsevier, vol. 88(2), pages 157-171, March.
    7. Subba Rao, S. & Gunasekaran, A. & Goyal, S. K. & Martikainen, T., 1998. "Waiting line model applications in manufacturing," International Journal of Production Economics, Elsevier, vol. 54(1), pages 1-28, January.
    8. Vincent W. Slaugh & Bahar Biller & Sridhar R. Tayur, 2016. "Managing Rentals with Usage-Based Loss," Manufacturing & Service Operations Management, INFORMS, vol. 18(3), pages 429-444, July.
    9. Xiuli Chao & Carlton Scott, 2000. "Several Results on the Design of Queueing Systems," Operations Research, INFORMS, vol. 48(6), pages 965-970, December.
    10. Hsieh, Chung-Chi & Chiu, Kuo-Chang, 2002. "Optimal maintenance policy in a multistate deteriorating standby system," European Journal of Operational Research, Elsevier, vol. 141(3), pages 689-698, September.
    11. Gautam, N., 2002. "Performance analysis and optimization of web proxy servers and mirror sites," European Journal of Operational Research, Elsevier, vol. 142(2), pages 396-418, October.
    12. Refael Hassin & Yair Y. Shaki & Uri Yovel, 2015. "Optimal service‐capacity allocation in a loss system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(2), pages 81-97, March.
    13. Kochel, Peter & Kunze, Sophie & Nielander, Ulf, 2003. "Optimal control of a distributed service system with moving resources: Application to the fleet sizing and allocation problem," International Journal of Production Economics, Elsevier, vol. 81(1), pages 443-459, January.
    14. Xiuli Chao & Liming Liu & Shaohui Zheng, 2003. "Resource Allocation in Multisite Service Systems with Intersite Customer Flows," Management Science, INFORMS, vol. 49(12), pages 1739-1752, December.
    15. Bitran, Gabriel R. & Morabito, Reinaldo., 1994. "Open queueing networks : optimization and performance evaluation models for discrete manufacturing systems," Working papers 3743-94., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    16. Kochel, Peter, 1996. "On queueing models for some multi-location problems," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 429-433, August.

    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:inm:ormnsc:v:33:y:1987:i:9:p:1173-1180. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.