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

James Prieger ()

No 37, Working Papers from University of California, Davis, Department of Economics

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.

Keywords: m (t)/M (t)/8 queue; infinite server queue; time-varying parameters; Poisson stochasticprocess; duration data (search for similar items in EconPapers)
JEL-codes: L1 L8 (search for similar items in EconPapers)
Pages: 26
Date: 2005-11-03
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