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QUEUING THEORY

QUEUING THEORYRYAN paper defines the building blocks of and derives basic queuingsystems. It begins with a review of some probability THEORY and then definesprocesses used to analyze QUEUING systems, in particular the birth-death pro-cess. A few simple queues are analyzed in terms of steady-state derivationbefore the paper discusses some attempted field research on the THEORY is a branch of mathematics that studies and models the act ofwaiting in lines. This paper will take a brief look into the formulation of queuingtheory along with examples of the models and applications of their use.

ity theory. In particular, we will review the exponential and Poisson probability distributions. 2.1. Exponential and Poisson Probability Distributions. The exponential distribution with parameter λ is given by λe−λt for t ≥ 0. If T is a random variable that represents interarrival times with the exponential distribution, then

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