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Identifiability of the MAP 2 /G/1 queueing system

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  • Pepa Ramírez-Cobo
  • Rosa Lillo
  • Michael Wiper

Abstract

In this paper, we study how the lack of a unique representation for the two-state Markovian arrival process (MAP 2 ) can influence statistical estimation for the MAP 2 /G/1 queueing system. In particular, given two equivalent representations of the same MAP 2 , we find that the steady-state distributions of the queuing system can be identified. Copyright Sociedad de Estadística e Investigación Operativa 2014

Suggested Citation

  • Pepa Ramírez-Cobo & Rosa Lillo & Michael Wiper, 2014. "Identifiability of the MAP 2 /G/1 queueing system," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 274-289, April.
    • Handle: RePEc:spr:topjnl:v:22:y:2014:i:1:p:274-289
    DOI: 10.1007/s11750-012-0254-8
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    Cited by:

    1. Ramírez-Cobo, Pepa, 2017. "Findings about the two-state BMMPP for modeling point processes in reliability and queueing systems," DES - Working Papers. Statistics and Econometrics. WS 24622, Universidad Carlos III de Madrid. Departamento de Estadística.
    2. Rodríguez, Joanna & Lillo, Rosa E. & Ramírez-Cobo, Pepa, 2015. "Failure modeling of an electrical N-component framework by the non-stationary Markovian arrival process," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 126-133.

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