The M/M/\(C\) queueing system in a random environment

DOI10.1016/j.jmaa.2015.11.074zbMath1400.90152OpenAlexW2201211775MaRDI QIDQ905982

Zai-Ming Liu, Sen-Lin Yu

Publication date: 28 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.074

zbMATH Keywords

random environmentapplied probabilityM/M/\(C\) systemMarkov modulated

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (11)

Resource queueing system \(M/GI/\infty\) in a random environment ⋮ \(\mathrm{M}/\mathrm{M}/1\) queue in two alternating environments and its heavy traffic approximation ⋮ Analysis of a batch service polling system in a multi-phase random environment ⋮ Optimal control F-policy for m/M/R/\(K\) queue with an additional server and balking ⋮ On an M/G/1 queue in random environment with Min(N, V) policy ⋮ Analysis of queues in a random environment with impatient customers ⋮ Admission control policy of a two heterogeneous server finite capacity retrial queueing system with maintenance activity ⋮ Product form solutions of some queueing inventory problems in random environment ⋮ Analysis of a queueing system in random environment with an unreliable server and geometric abandonments ⋮ Equilibrium strategies of the unobservable \(M/M/1\) queue with balking and delayed repairs ⋮ Stationary analysis of the infinite-server queue modulated by a multi-phase Markovian environment

Cites Work

• Markov-modulated infinite-server queues with general service times
• Stochastic decomposition in M/M/\({\infty}\) queues with Markov modulated service rates
• Analysis of the M/G/1 queue in multi-phase random environment with disasters
• Modeling traffic flow interrupted by incidents
• The \(M/M/\infty\) queue in a random environment
• On queues with Markov modulated service rates
• The M / G /1 queue with two service speeds
• The UnreliableM/M/1 Retrial Queue in a Random Environment
• Queuing Problems with Heterogeneous Arrivals and Service
• Single-server queue with Markov-dependent inter-arrival and service times

This page was built for publication: The M/M/\(C\) queueing system in a random environment