Heavy-traffic asymptotic expansions for the asymptotic decay rates in theBMAP/G/1 queue
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Publication:4291650
DOI10.1080/15326349408807304zbMath0802.60085OpenAlexW2058244810MaRDI QIDQ4291650
Gagan L. Choudhury, Ward Whitt
Publication date: 12 December 1994
Published in: Communications in Statistics. Stochastic Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/15326349408807304
tail probabilitiesrecursive formulasbatch Markovian arrival processasymptotic decay ratescharacteristic curveheavy-traffic expansions
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
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Waiting-time tail probabilities in queues with long-tail service-time distributions ⋮ A heavy-traffic expansion for asymptotic decay rates of tail probabilities in multichannel queues ⋮ SET-VALUED PERFORMANCE APPROXIMATIONS FOR THE QUEUE GIVEN PARTIAL INFORMATION ⋮ A comparison of the sliding window and the leaky bucket ⋮ Heavy-traffic extreme-value limits for queues ⋮ STAFFING A SERVICE SYSTEM WITH NON-POISSON NON-STATIONARY ARRIVALS ⋮ Dynamic rate Erlang-A queues ⋮ TAIL PROBABILITIES IN QUEUEING PROCESSES ⋮ Maximum Values in Queueing Processes ⋮ Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type ⋮ An ODE for an Overloaded X Model Involving a Stochastic Averaging Principle ⋮ Stochastic grey-box modeling of queueing systems: fitting birth-and-death processes to data
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