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Waiting Time Density, One Server (M/M/1)

Chapter

Abstract

This chapter shows how to calculate the waiting time probabilities for a one-server system, with infinite capacity, exponential inter-arrival times and exponential service times, where the customers are serviced in a first-in-first-out discipline. An example is when a city designs a beat for a squad car and wants to determine the probability that at least 90 percent of the calls received for the beat can begin service within 10 min. The squad car is the service facility and the calls within the beat are the arrivals. Examples are presented.

Keywords

Service Time Wait Time Utilization Ratio Service Facility Wait Time Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.Stuart School of BusinessIllinois Institute of TechnologyChicagoUSA

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