Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues
type: Item
instance of: scholarly article
title: Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues
zbMATH Open document ID: 1255.90039
author: Anyue Chen
author: Kai Wang Ng
author: Junping Li
author: Zhenting Hou
published in: Queueing Systems
publication date: 2010-11-22T00:00:00Z
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60J27
Mathematics Subject Classification ID: 60J35
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 5818146
zbMATH Keywords: stopped Markovian bulk-arrival and bulk-service queues
zbMATH Keywords: decay parameter
zbMATH Keywords: invariant measures
zbMATH Keywords: quasi-stationary distributions
MaRDI profile type: Publication
full work available at URL: s11134-010-9194-x
OpenAlex ID: W2002940151
cites work: Continuous-time Markov chains. An applications-oriented approach
cites work: Prediction in Markovian bulk arrival queues
cites work: Analysis of a bulk queue with state dependent arrivals and multiple vacations
cites work: Applied Probability and Queues
cites work: Wiener-Hopf analysis of an M/G/1 queue with negative customers and of a related class of random walks
cites work: Performance Analysis of a Finite-Buffer Bulk-Arrival and Bulk-Service Queue with Variable Server Capacity
cites work: Q5185813
cites work: TheM/M/1 queue with mass exodus and mass arrivals when empty
cites work: Markovian bulk-arriving queues with state-dependent control at idle time
cites work: Markovian bulk-arrival and bulk-service queues with state-dependent control
cites work: Uniqueness, extinction and explosivity of generalised Markov branching processes with pairwise interaction
cites work: Q5524074
cites work: On quasi-stationary distributions in absorbing continuous-time finite Markov chains
cites work: A BMAP/SM/1 queueing system with Markovian arrival input of disasters
cites work: The relation between limiting queue size distributions at arrival and departure epochs in a bulk queue
cites work: Quasi-stationary distributions for absorbing continuous-time denumerable Markov chains
cites work: Product-form queueing networks with negative and positive customers
cites work: Queues with negative arrivals
cites work: Q3806522
cites work: Sojourn times in single-server queues by negative customers
cites work: Queueing networks by negative customers and negative queue lengths
cites work: A Pollaczek–Khintchine formula for M/G/1 queues with disasters
cites work: Quasi-limiting distributions of Markov chains that are skip-free to the left in continuous time
cites work: The Exponential Decay of Markov Transition Probabilities
cites work: Q4101255
cites work: Decay property of stopped Markovian bulk-arriving queues
cites work: The decay parameter and invariant measures for Markovian bulk-arrival queues with control at idle time
cites work: New results on the single server queue with a batch markovian arrival process
cites work: Some steady-state distributions for theMAP /SM /1 queue
cites work: Q4001300
cites work: On the relationship between µ-invariant measures and quasi-stationary distributions for continuous-time Markov chains
cites work: A versatile Markovian point process
cites work: Q3923308
cites work: EIGENVALUE EXPRESSION FOR A BATCH MARKOVIAN ARRIVAL PROCESS
cites work: Reversibility, invariance and μ-invariance
cites work: Q4804513
cites work: Some exact expressions for the bulk-arrival queue \(M^ x/M/1\)
cites work: Tandem queues with bulk arrivals, infinitely many servers and correlated service times
cites work: On a bulk arrival bulk service infinite service queue
cites work: SOME ERGODIC PROPERTIES OF THE FELLER MINIMAL PROCESS
cites work: Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process
cites work: Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
cites work: GEOMETRIC ERGODICITY IN DENUMERABLE MARKOV CHAINS
DOI: 10.1007/S11134-010-9194-X
description: scientific article; zbMATH DE number 5818146