\(M^X/M/c\) queue with catastrophes and state-dependent control at idle time

DOI10.1007/s11464-017-0674-8zbMath1391.90189OpenAlexW2767829115MaRDI QIDQ721467

Li-Na Zhang, Jun Ping Li

Publication date: 19 July 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-017-0674-8

zbMATH Keywords

recurrenceequilibrium distributionqueue sizeeffective catastropheMarkovian bulk-arriving queues

Mathematics Subject Classification ID

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

Related Items (7)

On the Study of Forward Kolmogorov System and the Corresponding Problems for Inhomogeneous Continuous-Time Markov Chains ⋮ Convergence Rate Estimates for Some Models of Queuing Theory, and Their Applications ⋮ Application of Method of Differential Inequalities to Bounding the Rate of Convergence for a Class of Markov Chains ⋮ Bounds on the rate of convergence for Markovian queuing models with catastrophes ⋮ On three methods for bounding the rate of convergence for some continuous-time Markov chains ⋮ Characteristics of Lost and Served Packets for Retrial Queueing System with General Renovation and Recurrent Input Flow ⋮ The General Renovation as the Active Queue Management Mechanism. Some Aspects and Results

Cites Work

• Unnamed Item
• Unnamed Item
• Ergodicity and perturbation bounds for inhomogeneous birth and death processes with additional transitions from and to the origin
• Perturbation bounds and truncations for a class of Markovian queues
• A note on birth-death processes with catastrophes
• Markov branching processes with instantaneous immigration
• Continuous-time Markov chains. An applications-oriented approach
• Wiener-Hopf analysis of an M/G/1 queue with negative customers and of a related class of random walks
• \(G\)-networks: A versatile approach for work removal in queueing networks
• Analysis of single-server queue with phase-type service and energy harvesting
• Markovian bulk-arrival and bulk-service queues with state-dependent control
• Density-dependent birth and death process with state-dependent immigration
• The M/M/c queue with mass exodus and mass arrivals when empty
• A Pollaczek–Khintchine formula for M/G/1 queues with disasters
• Queues with negative arrivals
• Product-form queueing networks with negative and positive customers
• TheM/M/1 queue with mass exodus and mass arrivals when empty
• Killing and resurrection of markov processes
• BMAP/SM/1 queue with Markovian input of disasters and non-instantaneous recovery
• Applied Probability and Queues
• Markovian bulk-arriving queues with state-dependent control at idle time
• Perturbation Bounds forM_t/M_t/NQueue with Catastrophes

This page was built for publication: \(M^X/M/c\) queue with catastrophes and state-dependent control at idle time