Geodesic
A queuing system with distinct devices as the finite state machine
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2012), pp. 114-124

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Queuing systems with distinct channels are considered. Channels may have different capacities (from each other) and distinct queues. The term “dispatch control” is introduced to optimize the system, considering the average time of service and failure probability minimization. These systems are treated as deterministic or nondeterministic finite state machines. State equations of these systems in the form of Zhegalkin polynomial are derived.
Keywords: queuing system, finite state machine, distinct channels, dispatch control. 
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A. P. Kotenko; M. B. Bukarenko. A queuing system with distinct devices as the finite state machine. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2012), pp. 114-124. http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a10/