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Non-Preemptive Shunting In M/M/1 And Dynamic Service Queueing Systems, Steven Lacek
Non-Preemptive Shunting In M/M/1 And Dynamic Service Queueing Systems, Steven Lacek
Theses, Dissertations and Capstones
We provide a study of two queueing systems, namely, an M/M/1 queueing system in which an incoming customer shunts, or skips line, and a dynamic server in an infinite capacity system moving among service nodes. In the former, we explore various aspects of the system, including waiting time, and the relationships between shunting and position in queue and rate of service. Through use of global balance equations, we find the probability that an arriving non-priority customer, finding customers waiting in the system, will shunt to a position other than behind the queue. In the latter, we explore a system in …