Preliminary Concepts



This chapter describes the mathematical and probability concepts that are the foundation for the remaining chapters of the book. This includes the Poisson, Exponential and Erlang distributions, the Postulates that define a queuing system, and also the difference, differential, equilbrium and reduced equations. The equilibrium and/or the reduced equations are used to generate the probability distribution on the number of units in the system, and the various performance measures of the system.


Difference Equation Service Time Exponential Distribution Equilibrium Equation Service Facility 
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  1. Kendall, D. G. (1953). Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. Annals of Mathematical Statistics, 24(3), 338–354.Google Scholar
  2. Little, J. D. C. (1961). A proof of the queuing formula L = λW. Operations Research, 9(3), 383–387.Google Scholar

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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