Regeneration and networks of queues
Regeneration and networks of queues
Queues as Harris recurrent Markov chains
Queueing Systems: Theory and Applications
One-dependent regenerative processes and queues
Mathematics of Operations Research
Regeneration and renovation in queues
Queueing Systems: Theory and Applications
Stability of Jackson Type Network Output
Queueing Systems: Theory and Applications
Weak Regeneration in Modeling of Queueing Processes
Queueing Systems: Theory and Applications
A multiserver retrial queue: regenerative stability analysis
Queueing Systems: Theory and Applications
Stability analysis of regenerative queueing systems
Automation and Remote Control
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The tightness of some queueing stochastic processes is proved and its role in an ergodic analysis is considered. It is proved that the residual service time process in an open Jackson-type network is tight. The same problem is solved for a closed network, where the basic discrete time process is embedded at the service completion epochs. An extention of Kiefer and Wolfowitz’s “key” lemma to a nonhomogeneous multiserver queue with an arbitrary initial state is obtained. These results are applied to get the ergodic theorems for the basic regenerative network processes.