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This paper proposed a novel analytical model of the polling MAC protocol using M-gated services in continuous time. By the imbedded Markov chain theory, the generating functions of queue length at server arrival epoch is obtained. Also, the Laplace-Stieltjes transform (LST) of packet delay distribution function is derived. Then computational equations are explicit determined for the mean queue length...
Many wireless sensor networks (WSN) application systems are composed of multiple sensor nodes serial processing system. This paper sets up the model for the serial processing system using gated service in wireless sensor networks, and studies it by the Markov chain theory and the probability generating function method, the calculating equation of the mean waiting time of message packet is obtained...
In this paper we consider the polling system with multiple vacations using exhaustive service. By the imbedded Markov chain theory, the generating functions of queue length at the station is obtained. Then computational equations are explicitly determined for the mean queue length and the mean waiting time of information packet. Especially we obtain some corresponding results under some especial cases...
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