IDEAS home Printed from
   My bibliography  Save this article

A discrete time single-server queue with balking: economic applications


  • Macarena Lozano
  • Pilar Moreno


This article studies a discrete time single-server queue with finite and infinite buffer where the users have the option to leave the queue upon arrival (balking). We consider two variants of the model in accordance with the balking policies. Firstly, all the arriving customers balk with a constant probability. Secondly, arriving customers increase their balking probabilities as more customers join the system. Specifically, we find the ergodicity condition and closed-form expressions for the stationary distribution of the system size, of the waiting/spending time in the FCFS system and of the unfinished work. The mathematical model is applied in order to resolve several real-life problems in the economic field; in this sense, practical applications in the secondary and tertiary sector are shown. We also develop a cost model to determine the buffer capacity that minimizes certain cost function and give some numerical examples.

Suggested Citation

  • Macarena Lozano & Pilar Moreno, 2008. "A discrete time single-server queue with balking: economic applications," Applied Economics, Taylor & Francis Journals, vol. 40(6), pages 735-748.
  • Handle: RePEc:taf:applec:v:40:y:2008:i:6:p:735-748
    DOI: 10.1080/00036840600749607

    Download full text from publisher

    File URL:
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    1. van Doorslaer, Eddy & Gerdtham, Ulf-G., 2003. "Does inequality in self-assessed health predict inequality in survival by income? Evidence from Swedish data," Social Science & Medicine, Elsevier, vol. 57(9), pages 1621-1629, November.
    2. repec:cup:apsrev:v:97:y:2003:i:04:p:567-583_00 is not listed on IDEAS
    3. Clark, Andrew E & Georgellis, Yannis & Sanfey, Peter, 2001. "Scarring: The Psychological Impact of Past Unemployment," Economica, London School of Economics and Political Science, vol. 68(270), pages 221-241, May.
    4. Michael Baker & Mark Stabile & Catherine Deri, 2004. "What Do Self-Reported, Objective, Measures of Health Measure?," Journal of Human Resources, University of Wisconsin Press, vol. 39(4).
    5. Jenkins, Stephen P, 1995. "Easy Estimation Methods for Discrete-Time Duration Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 57(1), pages 129-138, February.
    6. repec:cup:apsrev:v:98:y:2004:i:01:p:191-207_00 is not listed on IDEAS
    7. Johannes Schwarze & Hanfried H. Andersen & Silke Anger, 2000. "Self-Rated Health and Changes in Self-Rated Health as Predictors of Mortality: First Evidence from German Panel Data," Discussion Papers of DIW Berlin 203, DIW Berlin, German Institute for Economic Research.
    8. Dwyer, Debra Sabatini & Mitchell, Olivia S., 1999. "Health problems as determinants of retirement: Are self-rated measures endogenous?," Journal of Health Economics, Elsevier, vol. 18(2), pages 173-193, April.
    9. Lindeboom, Maarten & van Doorslaer, Eddy, 2004. "Cut-point shift and index shift in self-reported health," Journal of Health Economics, Elsevier, vol. 23(6), pages 1083-1099, November.
    10. Winkelmann, Liliana & Winkelmann, Rainer, 1998. "Why Are the Unemployed So Unhappy? Evidence from Panel Data," Economica, London School of Economics and Political Science, vol. 65(257), pages 1-15, February.
    11. Crossley, Thomas F. & Kennedy, Steven, 2002. "The reliability of self-assessed health status," Journal of Health Economics, Elsevier, vol. 21(4), pages 643-658, July.
    12. John Bound, 1991. "Self-Reported Versus Objective Measures of Health in Retirement Models," Journal of Human Resources, University of Wisconsin Press, vol. 26(1), pages 106-138.
    Full references (including those not matched with items on IDEAS)

    More about this item


    Access and download statistics


    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:taf:applec:v:40:y:2008:i:6:p:735-748. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Chris Longhurst). General contact details of provider: .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.