The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence

Hermann Thorisson

Stochastic Processes and their Applications, 1985, vol. 19, issue 1, 85-99

Abstract: We study the classical single server queue and establish finite geometric moments and [phi] moments of the cycle variables. Here [phi](x) = xn[phi]0(x) where n is integer and [phi]0 is concave. More generally, we consider systems with different initial conditions and prove moment and stochastic domination results for the delay variables. This, together with the general results of [5], yields ergodic results for the time and customer dependent processes.

Keywords: queue; GI/G/1; cycle; and; delay; variables; time; and; customer; dependent; processes; regenerative; processes; ergodicity (search for similar items in EconPapers)
Date: 1985
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Citations: View citations in EconPapers (3)

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