The decay parameter and invariant measures for Markovian bulk-arrival queues with control at idle time
From MaRDI portal
Publication:352885
DOI10.1007/s11009-011-9252-9zbMath1270.60102OpenAlexW2016411996MaRDI QIDQ352885
Publication date: 5 July 2013
Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11009-011-9252-9
invariant measures\(\lambda _{C }\)-invariant measures\(\lambda _{C }\)-invariant vectorsbulk-arrival queuesdecay parameterinvariant vectorsstate-dependent control
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Continuous-time Markov processes on discrete state spaces (60J27)
Related Items
Ergodicity and perturbation bounds for inhomogeneous birth and death processes with additional transitions from and to the origin, Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues, 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, 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, Decay properties of Markovian bulk-arrival and bulk-service queues with state-independent control, Decay property of stopped Markovian bulk-arriving queues withc-servers, Recurrence and decay properties of a star-typed queueing model with refusal
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Continuous-time Markov chains. An applications-oriented approach
- Quasi-stationary distributions for absorbing continuous-time denumerable Markov chains
- Markovian bulk-arrival and bulk-service queues with state-dependent control
- Uniqueness and extinction of weighted Markov branching processes
- GEOMETRIC ERGODICITY IN DENUMERABLE MARKOV CHAINS
- Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process
- Reversibility, invariance and μ-invariance
- Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
- SOME ERGODIC PROPERTIES OF THE FELLER MINIMAL PROCESS
- Quasi-limiting distributions of Markov chains that are skip-free to the left in continuous time
- TheM/M/1 queue with mass exodus and mass arrivals when empty
- Applied Probability and Queues
- Markovian bulk-arriving queues with state-dependent control at idle time
- On the relationship between µ-invariant measures and quasi-stationary distributions for continuous-time Markov chains
- Decay property of stopped Markovian bulk-arriving queues
- The Exponential Decay of Markov Transition Probabilities
- On quasi-stationary distributions in absorbing continuous-time finite Markov chains