FARE 3310 Chapter Notes -Queueing Theory, Poisson Distribution, Toll House
15 Dec 2013
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Queuing theory- body of knowledge about waiting lines. Waiting lines (queue)- items or people in a line awaiting service. Analysis of queues in terms of waiting-line length, average waiting time and other factors helps us to understand service systems (such as bank teller stations) Arrival characteristics the input source that generates arrivals or customers for a service system has three major characteristics: size of the arrival population. Limited or finite population- a queue in which there are only a limited number of potential users of the: pattern of arrivals (statistical distribution) Poisson distribution- discrete probability distribution that often describes the arrival rate in queuing theory. P(x)-probability x arrivals x-number of arrivals per unit of time. Average arrival rate e-2. 7183 (which is the base of natural logarithms) Most queuing models assume arriving customer is patient customer (people/machines that wait in line. Balk customers- refuse to join waiting line because it is too long to suit their needs/interests.
