Markovian bulk-arriving queues with state-dependent control at idle time

DOI10.1239/aap/1086957583zbMath1046.60080OpenAlexW2004488719MaRDI QIDQ4819493

Renshaw, Eric, Anyue Chen

Publication date: 24 September 2004

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1086957583

zbMATH Keywords

bulk arrivalrecurrenceequilibrium distributionbusy period distributionidle timequeue sizewaiting-time distributionstate-dependent input

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35)

Related Items (20)

Ergodicity and perturbation bounds for inhomogeneous birth and death processes with additional transitions from and to the origin ⋮ The decay parameter and invariant measures for Markovian bulk-arrival queues with control at idle time ⋮ Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues ⋮ A continuous-time Ehrenfest model with catastrophes and its jump-diffusion approximation ⋮ On the bounds for a two-dimensional birth-death process with catastrophes ⋮ Ergodicity and truncation bounds for inhomogeneous birth and death processes with additional transitions from and to origin ⋮ Uniqueness and extinction of weighted Markov branching processes ⋮ Resolvent decomposition theorems and their application in denumerable Markov processes with instantaneous states ⋮ Markovian bulk-arrival and bulk-service queues with general state-dependent control ⋮ Convergence Rate Estimates for Some Models of Queuing Theory, and Their Applications ⋮ Decay property of stopped Markovian bulk-arriving queues ⋮ Generalized Markov interacting branching processes ⋮ On limiting characteristics for a non-stationary two-processor heterogeneous system with catastrophes, server failures and repairs ⋮ On a class of Markovian queuing systems described by inhomogeneous birth-and-death processes with additional transitions ⋮ Bounds on the rate of convergence for Markovian queuing models with catastrophes ⋮ Markovian bulk-arrival and bulk-service queues with state-dependent control ⋮ \(M^X/M/c\) queue with catastrophes and state-dependent control at idle time ⋮ The M/M/c queue with mass exodus and mass arrivals when empty ⋮ A note on birth-death processes with catastrophes ⋮ Decay property of stopped Markovian bulk-arriving queues withc-servers

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