Shruti Speak's

Queuing Theory A flow of "customers" from infinite/finite population towards the service facility forms a queue or waiting line on account of lack of capability to serve them all at a time.These "customers" may be persons waiting at a railway booking office,these may be machines waiting to be repaired or letters arriving at a typist's desk. Queuing Theory is the mathematical study of waiting lines,or queues.It examines every component of waiting in line to be served, including the arrival process, service process, number of servers, number of system places and the number of customers. It is used to develop more efficient queuing systems that reduce customer wait times and increase the number of customers that can be served. Applications Queuing theory has its origins in research by Agner Krarup Erlang when he created models to describe the Copenhagen telephone exchange. The ideas have since seen applications including telecommunications, traffi

1. A Short Introduction to Queueing Theory   Author :   Andreas Willig ,   Technical University Berlin ,   Telecommunication Networks Group   Publication Date : July 21, 1999   Book Excerpts:   This document is intended to be a short introduction to the field of queueing theory, serving as a module within the lecture   Leistungsbewertung von Kommunikationsnetzen   of   Prof. Adam Wolisz from the   Telecommunication Networks Group   at   Technical University Berlin . It covers the most important queueing systems with a single service center, for queueing networks only some basics are mentioned. This script is neither complete nor error free.   In this script most of the mathematical details are omitted, instead often "intuitive" (or better: prosaic) arguments are used. Most of the formulas are only used during a derivation and have no numbers, however, the important formulas are numbered. The author does not annotate all statements with a reference, since most of the