Distribution of the Interoverflow Time for the GI / G /1 Loss System

Shlomo Halfin

27 citations0/0 files storedMathematics of Operations Research

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

We derive the distribution of the time between overflows (losses) for the GI/G/1 loss system in equilibrium. The resulting arrivals-overflows relation can be iterated n times to obtain an approximation (which is exact for exponential service times) for the overflow process from the GI/G/n loss system. Applications to the MG/G/1 and GI/E k /1 loss systems are presented.

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1963Stochastic Service Systems.1969On Erlang's Formula 1978A Generalization of Erlang's Loss System to State Dependent Arrival and Service Rates 1973Erlang's formula and some results on the departure process for a loss system

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1990Overflow analysis for finite waiting room systems 2013Analysis of GI / M / n / n queueing system with ordered entry and no waiting line 1987Markovian queueing systems with retrials and heterogeneous servers 1987Approximation of the Overflow Process from a G/M/N/K Queueing System 1990Tandem behavior of a telecommunication system with finite buffers and repeated calls

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