Identifiability of the MAP 2/G/1 queueing system

  1. Ramírez Cobo, Josefa 1
  2. Rosa E. Lillo 2
  3. Michael P. Wiper 2
  1. 1 Universidad de Sevilla, España
  2. 2 Universidad Carlos III, España
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ISSN: 1863-8279,  1134-5764

Argitalpen urtea: 2014

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Orrialdeak: 274-289

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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.

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Acknowledgements The support of the Junta de Andalucía (Project No. 2009/FQM-329), the Comunidad de Madrid-UC3M (Project No. CCG08/UC3M/HUM-4467), and the Spanish Ministry of Education and Science (Projects No. CSD2006-00032 (Consolider Ingenio Mathematica) and 2007/04438/001) is acknowledged by the authors.

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