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Functional law of the iterated logarithm for multi-server queues with batch arrivals and customer feedback
Ist Teil von
Annals of operations research, 2018-05, Vol.264 (1-2), p.157-191
Ort / Verlag
New York: Springer US
Erscheinungsjahr
2018
Quelle
BSC - Ebsco (Business Source Ultimate)
Beschreibungen/Notizen
A
functional law of the iterated logarithm
(FLIL) and its corresponding
law of the iterated logarithm
(LIL) are established for a multi-server queue with batch arrivals and customer feedback. The FLIL and LIL, which quantify the magnitude of asymptotic fluctuations of the stochastic processes around their mean values, are developed in three cases: underloaded, critically loaded and overloaded, for five performance measures: queue length, workload, busy time, idle time and departure process. Both FLIL and LIL are proved using an approach based on strong approximations.