The Markov-modulated Poisson process (MMPP) cookbook
Performance Evaluation
Non-ergodicity criteria for denumerable continuous time Markov processes
Operations Research Letters
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The extended real time polling service(ErtPS) algorithm is added to IEEE 802.16e-2005 standards for VoIP service to use uplink resources efficiently by considering on/off characteristic of voice source. The IEEE 802.16e standard employs adaptive modulation and coding (AMC) to maximize transmission rate by assigning variable rate in accordance with the user's time-varying channel conditions. In this paper, we divide a cell into two zones with different average SNR where each zone uses its own one transmission mode. We construct 3-dimensional Markov process of M/G/1 type whose steady state probability and the probability distribution of queueing delay are obtained by the matrix analytic method. With the probability distribution of queueing delay, we find the maximal pair of admissible number of VoIP users in each zone with the required constraint on delay bound.