Analysis of MAP/M/1 queue with working breakdowns

DOI10.1080/03610926.2017.1346808OpenAlexW2733701122MaRDI QIDQ5160238

Qingqing Ye, Li-Wei Liu

Publication date: 28 October 2021

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2017.1346808

zbMATH Keywords

Markovian arrival processsojourn timesystem sizeworking breakdownmatrix geometrical solution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (2)

Performance analysis of queueing systems with a particular service interruption discipline ⋮ Joining strategies of noncooperative and cooperative in a single server retrial queue with N-policy and multiple server vacations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A preemptive resume priority retrial queue with state dependent arrivals, unreliable server and negative customers
• Geo/G/1 queues with disasters and general repair times
• The optimal control of an unreliable server queue with two phases of service and Bernoulli vacation schedule
• Stochastic decomposition in M/M/\({\infty}\) queues with Markov modulated service rates
• Modified \(T\) vacation policy for an \(M/G/1\) queueing system with an unreliable server and startup
• Optimal \((d,c)\) vacation policy for a finite buffer \(M/M/c\) queue with unreliable servers and repairs.
• Sojourn time distribution in a MAP/M/1 processor-sharing queue
• Bi-level control for batch arrival queues with an early startup and un-reliable server
• A batch arrival retrial queue with general retrial times under Bernoulli vacation schedule for unreliable server and delaying repair
• On \(M/G/1\) system under \(NT\) policies with breakdowns, startup and closedown
• A repairable queueing model with two-phase service, start-up times and retrial customers
• Fundamentals of Matrix-Analytic Methods
• New results on the single server queue with a batch markovian arrival process
• Reliability analysis of M/G/1 queueing systems with server breakdowns and vacations
• Some Queuing Problems with the Service Station Subject to Breakdown

This page was built for publication: Analysis of MAP/M/1 queue with working breakdowns