Network of queues modeling in flexible manufacturing systems : a survey
Non-colliding random walks, tandem queues, and discrete orthogonal polynomial ensembles.
Non-stationary departure process in a batch-arrival queue with finite buffer capacity and threshold-type control mechanism
Non-stationary behavior of departure process in a finite-buffer -type queueing model with batch arrivals, in which a threshold-type waking up -policy is implemented, is studied. According to this policy, after each idle time a new busy period is being started with the th message occurrence, where the threshold value is fixed. Using the analytical approach based on the idea of an embedded Markov chain, integral equations, continuous total probability law, renewal theory and linear algebra, a...