The Decay Parameter and Invariant Measures for Markovian Bulk-Arrival Queues with Control at Idle Time

Li Junping () and Chen Anyue ()
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Li Junping: Central South University
Chen Anyue: The University of Liverpool

Methodology and Computing in Applied Probability, 2013, vol. 15, issue 2, 467-484

Abstract: Abstract We consider properties regarding decay parameter and invariant measures for unstable Markovian bulk-arrival Queues with control at idle time. The exact value of the decay parameter, denoted by λ Z , is firstly revealed. An elegant criterion regarding λ Z -recurrence and λ Z -positive is obtained. The corresponding subinvariant and invariant measures are considered and the structure of all the subinvariant and invariant measures are presented.

Keywords: Decay parameter; Invariant measures; Invariant vectors; λ C -invariant measures; λ C -invariant vectors; Bulk-arrival queues; State-dependent control; Primary 60J27; Secondary 60J35 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s11009-011-9252-9

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