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Estimation of a Simple Queuing System WithUnits-in-Service and Complete Data

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  • James E. Prieger

    (Department of Economics, University of California Davis)

Abstract

Queuing theory may be useful for analyzing economic phenomena involvingcount and duration data. We develop maximum likelihood estimators for the time-varyingparameters of a simple queuing system based on two kinds of data: complete interarrivaland service times (IST), and number of units in service (NIS). The IST estimator dominatesthe NIS estimator, in terms of ease of implementation, bias, and variance. Themodel is useful for many empirical applications in economics.

Suggested Citation

  • James E. Prieger, 2005. "Estimation of a Simple Queuing System WithUnits-in-Service and Complete Data," Working Papers 37, University of California, Davis, Department of Economics.
    • Handle: RePEc:cda:wpaper:37
    as

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    File URL: https://repec.dss.ucdavis.edu/files/gKki5wiBNPtWyViMLCx7364X/05-35.pdf
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    References listed on IDEAS

    as
    1. James E. Prieger, 2002. "Regulation, Innovation, and the Introduction of New Telecommunications Services," The Review of Economics and Statistics, MIT Press, vol. 84(4), pages 704-715, November.
    2. Davidson, Carl, 1988. "Equilibrium in Servicing Industries: An Economic Application of Queuing Theory," The Journal of Business, University of Chicago Press, vol. 61(3), pages 347-367, July.
    3. Daniel, Joseph I, 1995. "Congestion Pricing and Capacity of Large Hub Airports: A Bottleneck Model with Stochastic Queues," Econometrica, Econometric Society, vol. 63(2), pages 327-370, March.
    4. Brock, William A. & Kleidon, Allan W., 1992. "Periodic market closure and trading volume : A model of intraday bids and asks," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 451-489.
    5. Prieger, James E, 2001. "Telecommunications Regulation and New Services: A Case Study at the State Level," Journal of Regulatory Economics, Springer, vol. 20(3), pages 285-305, November.
    6. Mitsuru Iwamura, 1992. "The Determination of Monetary Aggregates and Interest Rates," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 10(1), pages 65-93, February.
    7. De Vany, Arthur & Frey, Gail, 1982. "Backlogs and the Value of Excess Capacity in the Steel Industry," American Economic Review, American Economic Association, vol. 72(3), pages 441-451, June.
    8. Mulligan, James G. & Hoffman, Saul D., 1998. "Daycare Quality and Regulation: A Queuing-Theoretic Approach," Economics of Education Review, Elsevier, vol. 17(1), pages 1-13, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    m (t)/M (t)/8 queue; infinite server queue; time-varying parameters; Poisson stochasticprocess; duration data;
    All these keywords.

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • L8 - Industrial Organization - - Industry Studies: Services

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