Identifiability of the MAP 2/G/1 queueing system

• Josefa Ramírez Cobo ^[1] ; Rosa E. Lillo ^[2] ; Michael P. Wiper ^[2]
  1. [1] Universidad de Sevilla

     Universidad de Sevilla

     Sevilla, España

     
  2. [2] Universidad Carlos III, España
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 22, Nº. 1, 2014, págs. 274-289
• Idioma: inglés
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• Resumen

  • 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.