Title :
Loss probability behavior of Pareto/M/1/K queue
Author :
Koh, Younsuk ; Kim, Kiseon
Author_Institution :
Dept. of Inf. & Commun., Kwangju Inst. of Sci. & Technol., Gwangju, South Korea
Abstract :
In this letter, we investigate the queue behavior with Pareto interarrival and exponential service time distribution. By numerical analysis and simulations, we analyze the asymptotic and the exact loss probabilities of GI/M/1/K to show the big discrepancy between the asymptotic and the actual loss probability and propose a model for the loss probability of Pareto/M/1/K as a function of the buffer size K and the geometric parameter.
Keywords :
Pareto distribution; exponential distribution; numerical analysis; queueing theory; telecommunication traffic; GI/M/1/K queue; Pareto interarrival distribution; Pareto/M/1/K queue; asymptotic loss probabilities; asymptotic loss probability; buffer size; exact loss probability; exponential service time distribution; geometric parameter; numerical analysis; numerical simulations; Approximation methods; Electromagnetic compatibility; Loss measurement; Parameter estimation; Pareto analysis; Queueing analysis; Shape; Solid modeling; Telecommunication traffic; Traffic control;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2002.806469
