Basic Concepts in Stochastic Processes

  • U. Narayan Bhat
Part of the Statistics for Industry and Technology book series (SIT)


In this chapter, we introduce basic concepts in stochastic processes used in modeling queueing systems. Analysis techniques are developed later in conjunction with the discussion of specific systems.

Uncertainties in model characteristics lead us to random variables as the basic building blocks for the queueing model. However, a random variable quantitatively represents an event in a random phenomenon. In queueing systems, and all systems that operate over time (or space or any other parameter), the model must be able to represent the system over time. That means we need a sequence or a family of random variables to represent such a phenomenon over time.


Markov Process Renewal Process Busy Period Renewal Period Renewal Equation 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • U. Narayan Bhat
    • 1
  1. 1.Department of Statistical ScienceSouthern Methodist UniversityDallasUSA

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