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Simulation of queueing systems with many stations and of queueing networks using copulas

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  • Ciuiu, Daniel

Abstract

In this paper we will generate queueing systems with c stations where the inter-arrival time and the c service times depend through a c+1 copula C. We will consider two models: first when the customer does not know the order of service times for the free service channels (he/she chooses the service channel randomly), and the second when he/she knows this order (he/she chooses the fastest free service channel). The marginals can be exponential, Erlang or hyper-exponential.

Suggested Citation

  • Ciuiu, Daniel, 2010. "Simulation of queueing systems with many stations and of queueing networks using copulas," MPRA Paper 27018, University Library of Munich, Germany, revised Sep 2010.
  • Handle: RePEc:pra:mprapa:27018
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    File URL: https://mpra.ub.uni-muenchen.de/27018/1/MPRA_paper_27018.pdf
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    References listed on IDEAS

    as
    1. Ciuiu, Daniel, 2007. "Gordon and Newell queueing networks and copulas," MPRA Paper 15769, University Library of Munich, Germany, revised May 2009.
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    More about this item

    Keywords

    Queueing systems; copula; simulation.;

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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