TY - JOUR
T1 - V-uniform ergodicity for state-dependent single class queueing networks
AU - Lee, Chihoon
PY - 2010/5
Y1 - 2010/5
N2 - We consider single class queueing networks with state-dependent arrival and service rates. Under the uniform (in state) stability condition, it is shown that the queue length process is V-uniformly ergodic; that is, it has a transition probability kernel which converges to its limit geometrically quickly in the V-norm sense. Among several asymptotic properties of V-uniformly ergodic processes, we present a Strassen-type functional law of the iterated logarithm result.
AB - We consider single class queueing networks with state-dependent arrival and service rates. Under the uniform (in state) stability condition, it is shown that the queue length process is V-uniformly ergodic; that is, it has a transition probability kernel which converges to its limit geometrically quickly in the V-norm sense. Among several asymptotic properties of V-uniformly ergodic processes, we present a Strassen-type functional law of the iterated logarithm result.
KW - Functional law of the iterated logarithm
KW - State-dependent networks
KW - V-uniform ergodicity
UR - http://www.scopus.com/inward/record.url?scp=77951974809&partnerID=8YFLogxK
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U2 - 10.1007/s11134-010-9165-2
DO - 10.1007/s11134-010-9165-2
M3 - Article
AN - SCOPUS:77951974809
SN - 0257-0130
VL - 65
SP - 93
EP - 108
JO - Queueing Systems
JF - Queueing Systems
IS - 1
ER -