A Markov modeling approach is introduced for the M/M_D/2 queue with positively correlated exponential servers, establishing that the customer count process is Markovian and yielding an analytic stationary distribution.
(2007) Performance evaluation of dependent two-stage services,Proceedings of the 21st European Conference on Modelling and Simulation (ECMS), 74–9
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Markov Modelling Approach for Queues with Correlated Service Times -- the $M/M_D/2$ Model
A Markov modeling approach is introduced for the M/M_D/2 queue with positively correlated exponential servers, establishing that the customer count process is Markovian and yielding an analytic stationary distribution.