Analysis of an \(\mathrm{M}/\mathrm{M}/1\) queue with vacations and impatience timers which depend on the server's states

DOI10.3934/jimo.2016.12.653zbMath1325.60149OpenAlexW2552418231MaRDI QIDQ747036

Dequan Yue, Wuyi Yue, Guoxi Zhao

Publication date: 22 October 2015

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2016.12.653

zbMATH Keywords

probability generating functionperformance measuresvacation\(\mathrm{M}/\mathrm{M}/1\) queueimpatience timer

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items

System capacity optimization design and optimal threshold \(N^*\) for a \(\mathrm{Geo}/\mathrm{G}/1\) discrete-time queue with single server vacation and under the control of \(\mathrm{Min}(N,V)\)-policy ⋮ Analysis of the queueing-inventory system with impatient customers and mixed sales ⋮ Analysis and optimisation of a \(M/M/1/WV\) queue with Bernoulli schedule vacation interruption and customer's impatience ⋮ A multi-server queue in a multi-phase random environment with waiting servers and customers' impatience under synchronous working vacation policy ⋮ Transient analysis of M/M/1 queue with working vacation, heterogeneous service and customers’ impatience ⋮ Unnamed Item ⋮ Performance and economic analysis of Markovian Bernoulli feedback queueing system with vacations, waiting server and impatient customers ⋮ Cost optimization analysis for an \(\mathrm{M}^{X}/\mathrm{M}/c\) vacation queueing system with waiting servers and impatient customers ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Analysis of an M/M/1 queueing system with impatient customers and a variant of multiple vacation policy
• The single server vacation queueing model with geometric abandonments
• \(M/M/s\) queue with impatient customers and retrials
• Optimal control of a production-inventory system with customer impatience
• Synchronized abandonments in a single server unreliable queue
• Queueing systems with vacations - a survey
• A disaster queue with Markovian arrivals and impatient customers
• Queues with system disasters and impatient customers when system is down
• Analysis of customers' impatience in queues with server vacations
• Vacation queueing models. Theory and applications
• A Multiserver Queueing System with Impatient Customers
• Single-server queues with impatient customers
• INFINITE-SERVER QUEUES WITH SYSTEM'S ADDITIONAL TASKS AND IMPATIENT CUSTOMERS
• Some Queuing Problems with Balking and Reneging. I
• A single-server queue with limited virtual waiting time
• General customer impatience in the queue GI/G/1