An Analysis of Telecommunication Queuing System and Making More Efficient With Empirical Distribution of Service Time and Inter-Arrival Time (F-I-F-O Service)

Subhra Narayan Bose

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25-Mar-23

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An Analysis of Telecommunication Queuing System and Making More Efficient With Empirical Distribution of Service Time and Inter-Arrival Time (F-I-F-O Service)

Author(s):

Subhra Narayan Bose , Kalyani Government Engineering College

Keywords:

Entity, Arrival Time, Waiting Time, Queuing Model, Service Time, Discrete-Event Simulation

Abstract:

A queue is a line of people or things to be handled in a sequential order. It is a sequence of objects that are waiting to be processed. Queuing theory is the study of queues for managing process and objects. Simulation has been applied successfully for modelling small and large complex systems and understanding queuing behaviour. Analysis of the models helps to increases the performance of the system. In this paper we analyze various models of the Single server queuing system with necessary implementation using Microsoft Excel and Matlab Software. For better understanding we have considered a Virtual Telecommunication System, is presented with help of Microsoft Excel. Empirical distribution of Service Time and Inter-arrival Time of call has an impact on the performance of Queuing models. Examples include: A Telecommunication System staffing a call centre and measuring system parameters like average time that a call spend in the system ,average waiting time for those calls which are waiting. Numerous problems and more motivate the development of a queuing theory. Queuing theory as discussed in this paper is organized and a simulation of queuing system and the necessary mathematical tools are developed to analyze them. Finally, we illustrate the use of these models through various communication applications.