Decay properties of Markovian bulk-arrival and bulk-service queues with state-independent control

Abstract

We consider decay properties regarding decay parameter and invariant measures of Markovian bulk-arrival and bulk-service queues with state-independent control. The exact value of the decay parameter, denoted by λ_Z, is firstly revealed. A criterion regarding λ_Z-recurrence and λ_Z-positive is obtained. The corresponding λ_Z-subinvariant/invariant measures and λ_Z-subinvariant/invariant vectors are then presented.

Keywords

Decay parameter / bulk-arrival and bulk-service queues / invariant measures / invariant vectors / λ_C-invariant measures / λ_C-invariant vectors / stateindependent control

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Higher Education Press and Springer-Verlag Berlin Heidelberg