Discrete time queues with phase dependent arrivals

John N. Daigle · Y. Lee · Marcos Nascimento Magalhães

36 citations0/0 files storedIEEE Conference on Computer Communications (INFOCOM)

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Age of Information Optimization

Abstract

The queuing behavior of many communication systems is well modeled by a queuing system in which time is slotted and in which the number of entities arriving during a slot is dependent upon the state of a discrete-time, discrete-state Markov chain. The probability generating function is presented for joint and marginal buffer occupancy distributions of statistical time-division multiplexing systems in this class. A simple technique is discussed for obtaining moments of the queue length distribution. In addition, a discussion is presented of inversion of the probability generating function. Numerical results, including queue length distributions for some special cases, are presented.>

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References

1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.1993An introduction to queueing theory 1990A single-server queue with server vacations and a class of non-renewal arrival processes 1982Introduction to Queueing Theory.1987Matrix geometric solutions in stochastic models 1988Queueing behavior of statistical multiplexers with correlated inputs

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1992Discrete-time priority queues with two-state markov modulated arrivals 1994On the performance of bursty and modulated sources subject to leaky bucket rate-based access control schemes 1994Discrete time queues with phase dependent arrivals 1991Discrete-time priority queueing systems with two-state Markov modulated arrival processes 1992Performance of statistical multiplexers with finite number of inputs and train arrivals

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