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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 involving count and duration data. We develop maximum likelihood estimators for the time-varying parameters of a simple queuing system based on two kinds of data: complete interarrival and service times (IST), and number of units in service (NIS). The IST estimator dominates the NIS estimator, in terms of ease of implementation, bias, and variance. The model is useful for many empirical applications in economics.

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Bibliographic Info

Paper provided by University of California, Davis, Department of Economics in its series Working Papers with number 535.

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Length: 26
Date of creation: 04 Nov 2005
Date of revision:
Handle: RePEc:cda:wpaper:05-35

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Web page: http://www.econ.ucdavis.edu
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Related research

Keywords: m (t)/M (t)/8 queue; infinite server queue; time-varying parameters; Poisson stochasticprocess; duration data;

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References

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  1. James E. Prieger, 2003. "Regulation, Innovation, and the introduction of new telecommunications services," Working Papers 08, University of California, Davis, Department of Economics.
  2. James E. Prieger, . "Telecommunications Regulation and New Services: a Case Study at the State Level," Department of Economics 00-11, California Davis - Department of Economics.
  3. 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.
  4. 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 327-70, March.
  5. 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.
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