Transient solution of an \(M/M/1\) vacation queue with a waiting server and impatient customers

DOI10.1016/j.joems.2016.09.002zbMath1375.90085OpenAlexW2553336467MaRDI QIDQ1680621

Sherif I. Ammar

Publication date: 16 November 2017

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2016.09.002

zbMATH Keywords

generating functions\(M/M/1\) queueserver vacationstransient probabilitiesa waiting server

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 (12)

Single server batch arrival Bernoulli feedback queueing system with waiting server, \(K\)-variant vacations and impatient customers ⋮ Discussion on the transient solution of single server Markovian multiple variant vacation queues with disasters ⋮ Unnamed Item ⋮ Admission control policy of a two heterogeneous server finite capacity retrial queueing system with maintenance activity ⋮ Performance and economic analysis of Markovian Bernoulli feedback queueing system with vacations, waiting server and impatient customers ⋮ Transient analysis of an \(M/M/1\) queueing system subjected to multiple differentiated vacations, impatient customers and a waiting server with application to IEEE 802.16E power saving mechanism ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Cost optimization analysis for an \(\mathrm{M}^{X}/\mathrm{M}/c\) vacation queueing system with waiting servers and impatient customers ⋮ Unnamed Item ⋮ Time-dependent analytical and computational study of an M/M/1 queue with disaster failure and multiple working vacations ⋮ Analysis of a batch arrival multi-server queueing system with waiting servers, synchronous working vacations and impatient customers

Cites Work

• Computational algorithm and parameter optimization for a multi-server system with unreliable servers and impatient customers
• Synchronized reneging in queueing systems with vacations
• Optimal control of a production-inventory system with customer impatience
• Queues with slow servers and impatient customers
• Queueing systems with vacations - a survey
• Continued fractions with applications
• Transient analysis of an M/M/1 queue with a repairable server and multiple vacations
• Transient analysis of an \(M/M/1\) queue with impatient behavior and multiple vacations
• Analysis of customers' impatience in an \(\mathrm{M}/\mathrm{M}/1\) queue with working vacations
• Analysis of customers' impatience in queues with server vacations
• Vacation queueing models. Theory and applications
• INFINITE-SERVER QUEUES WITH SYSTEM'S ADDITIONAL TASKS AND IMPATIENT CUSTOMERS
• Utilization of Idle Time in an M/G/1 Queueing System
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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