Second Moment of Queue Size with Stationary Arrival Processes and Arbitrary Queue Discipline

author

  • Rasoul Haji Industrial Engineering, Sharif University of Technology
Abstract:

In this paper we consider a queuing system in which the service times of customers are independent and identically distributed random variables, the arrival process is stationary and has the property of orderliness, and the queue discipline is arbitrary. For this queuing system we obtain the steady state second moment of the queue size in terms of the stationary waiting time distribution of a similar queuing system in which the queue discipline is first-in-first-out.

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Journal title

volume 6  issue 1

pages  37- 44

publication date 1993-02-01

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