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Bias correction for estimation of performance measures of a Markovian queue

Author

Listed:
  • M. A. C. Almeida

    (Universidade Federal do Pará)

  • F. R. B. Cruz

    (Universidade Federal de Minas Gerais)

  • F. L. P. Oliveira

    (Universidade Federal de Ouro Preto)

  • G. Souza

    (Universidade Federal de Ouro Preto)

Abstract

There are several situations in our daily lives in which queues are present, such as cafeterias, supermarkets, banks, gas stations, and so forth. The performance of such queues can be described by several measures. In this article, the focus is on estimates of traffic intensity ($$\rho$$ρ), also called the utilization factor of the service station, the expected number of customers in the system (L), and the average queue size ($${L_{q}}$$Lq ) for infinite single-serve queues with Poisson arrivals and exponential (Markovian) service times. The computational experiments show that the maximum likelihood estimators (MLEs) of the performance measures are biased for small and moderate samples ($$n

Suggested Citation

  • M. A. C. Almeida & F. R. B. Cruz & F. L. P. Oliveira & G. Souza, 2020. "Bias correction for estimation of performance measures of a Markovian queue," Operational Research, Springer, vol. 20(2), pages 943-958, June.
    • Handle: RePEc:spr:operea:v:20:y:2020:i:2:d:10.1007_s12351-017-0351-4
    DOI: 10.1007/s12351-017-0351-4
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    References listed on IDEAS

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    Cited by:

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