Reducing effect of delay in voice and data in integrated Networks

Nesma Mostafa; Mohammed Fouad; Abd Elaziz Elsayed Abdelnaiem

Nesma Mostafa Dept.of Comm.& Electronic Engineering, Faculty of engineering, Zagazig University, Egypt
Mohammed Fouad Dept.of Comm.& Electronic Engineering, Faculty of engineering, Zagazig University, Egypt
Abd Elaziz Elsayed Abdelnaiem Dept.of Comm.& Electronic Engineering, Faculty of engineering, Zagazig University, Egypt

Keywords: M/M/1 queuing model, probabilitydistribution, Queuing theory, Poisson process, Numerical results and simulation for M/M/1 queuing model.

Abstract

This paper introduces the importance of queuing in integrated networks. Our study will be included the defining, analysis and importance of M/M/1 model "markovian (i.e. Exponential)/markovian/number of server" in queuing. The analysis of M/M/1 model is presented and indicate that the importance of M/M/1 model in queuing but at a certain values of 𝝀 "arrival rate" & µ "service rate ".After making comparison between a previous study carried out and my self-study with different values of arrival rate (𝝀) in integrated networks, indicate that traffic intensity " " must be less than one " ,with decreasing the values of “ λ&µ “ the values of waiting time in system and queuing are very high and with increasing the values of ”𝝀&µ“ at condition 𝝀<µ can obtain the best parameters of " mean number (length) of packet in the system ", " mean number (length) of packet in the queue ", " The total waiting time in system including service time" and " mean time waiting spent in queue" . These parameters is very important especially , as they are effects on a timming of queuing which in turns effects in reducing delay in voice and data in integrated networks.

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