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In this paper, we analyze a discrete time queueing system with geometrical arrivals of both positive and negative customers in which the server works at a lower rate during working vacation. Using embedded Markov chain and the matrix analysis solution method, we derive the probability generating function (PGF) of the number of customers waiting in the system and stationary queue length. From the process...
The operation of digital systems are based on time slotting and it finds many applications particularly in communication networks. It is important to analyze a digital network on some digital concepts. In this paper we analyze the network buffer through discrete time queueing system in which queue is discrete in nature and it is used to analyze the performance of the communication networks buffer...
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