Akar, NailArıkan, Erdal2016-02-082016-02-081993-11-12http://hdl.handle.net/11693/27802Date of Conference: 29 Nov.-2 Dec. 1993Conference name: Proceedings of GLOBECOM '93. IEEE Global Telecommunications ConferenceWhen a superposition of on/off sources is offered to a deterministic server, a particular queueing system arises whose analysis has a significant role in ATM based networks. Periodic cell generation during active times is a major feature of these sources. In this paper a new analytical method is provided to solve for this queueing system via an approximation to the transient behavior of the nD/D/1 queue. The solution to the queue length distribution is given in terms of a solution to a linear differential equation with variable coefficients. The technique proposed here has close similarities with the fluid flow approximations and is amenable to extension for more complicated queueing systems with such correlated arrival processes. A numerical example for a packetized voice multiplexer is finally given to demonstrate our results.EnglishCorrelation methodsDifferential equationsMathematical modelsMultiplexing equipmentPacket switchingQueueing theoryRandom processesSpeech processingState assignmentState estimationVoice/data communication systemsAsynchronous transfer modeATM multiplexerMarkov modulated periodic arrival processPeriodic cell generationSignal processingConference Paper10.1109/GLOCOM.1993.318187