Buffer Behavior with Poisson Arrivals and Bulk Geometric Service

Nicolas D. Georganas

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Advanced Queuing Theory Analysis Probability and Statistical Research Age of Information Optimization

Abstract

This correspondence considers a buffered system with Poisson arrivals andmoutput channels subjected to geometrically distributed interruptions. The generating function of the buffet occupancy is derived and is a transcendental function. An example demonstrates the results.

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1975Queueing Systems. Volume 1: Theory 1974Buffer Behavior with Poisson Arrival and Geometric Output Processes 1972Service in a Loop System

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1979Buffer Behavior in Computer Communication Systems 1984A general model for the behaviour of infinite buffers with periodic service opportunities 2003Discrete-time multiserver queues with geometric service times 1987Engineering Calculation of Overflow Probabilities in Buffers with Markov-Interrupted Service 1978Finite Buffer Behavior with Poisson Arrivals and Random Server Interruptions 1986A general treatment of discrete-time buffers with one randomly interrupted output line 1995Delay analysis for discrete-time queueing systems with multiple randomly interrupted servers 1992An analytical technique for the derivation of the delay performance of ATM switches with multiserver output queues

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