OMIS 2010 Lecture Notes - Lecture 10: Eastern Orthodox Liturgical Calendar, Standard Deviation, Airline Ticket

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Waiting line systems: arrivals/inputs, population size, behavior of arrivals, statistical distribution of arrivals, queue (actual waiting line, limited vs. unlimited in length, discipline of people/items in it, service facility, design, statistical distribution of service times. Arrivals characteristics: population size (unlimited vs limited) i. e unlimited shoppers at a supermarket, limited 5 fax machines, patterns of arrival (scheduled vs random) Arrival rate the manner in which customers arrive at the system for service. Time btw arrivals is often modeled using an exponential distribution (by l) # of arrivals per unit of time can be estimated by a distribution known as the poisson. Most queuing models assume that an arriving customer waits in the queue and does not switch lines, but some follow other behaviors. Balk refuse to join a waiting line because it is too long to suit their needs. Renege enter the queue but then become inpatient and leave the line.

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