Identifiability of the MAP <Subscript>2</Subscript>/G/1 queueing system

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