Identifiability of the MAP(2)/G/1 queueing system Articles uri icon

published in

  • Top  Journal

publication date

  • April 2014

start page

  • 274

end page

  • 289

issue

  • 1

volume

  • 22

international standard serial number (ISSN)

  • 1134-5764

electronic international standard serial number (EISSN)

  • 1863-8279

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.

keywords

  • markovian arrival process; identifiability problems; steady-state distributions; markovian arrival process; phase-type distributions; modulated poisson-process; coxian representations; streams; models; times