Transient analysis of M/M/1 queue with working vacation, heterogeneous service and customers’ impatience

DOI10.1051/ro/2016046zbMath1382.60120OpenAlexW2464998509MaRDI QIDQ4603927

No author found.

Publication date: 23 February 2018

Published in: RAIRO - Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/ro/2016046

zbMATH Keywords

continued fractionsconfluent hypergeometric functionsimpatient customerssingle server queuemultiple and single working vacation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (12)

A multi-server queue in a multi-phase random environment with waiting servers and customers' impatience under synchronous working vacation policy ⋮ Discussion on the transient solution of single server Markovian multiple variant vacation queues with disasters ⋮ Analysis of a multiple M/M/1/DV queueing system with a dual-threshold policy, vacation interruption and a waiting server ⋮ Analysis of a multiple dual-stage vacation queueing system with disaster and repairable server ⋮ Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers ⋮ Transient behavior of a single-server Markovian queue with balking and working vacation interruptions ⋮ Transient analysis of N-policy queue with system disaster repair preventive maintenance re-service balking closedown and setup times ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of an M/M/1 queueing system with impatient customers and a variant of multiple vacation policy
• Analysis of finite buffer renewal input queue with balking and multiple working vacations
• Analysis of an \(\mathrm{M}/\mathrm{M}/1\) queue with vacations and impatience timers which depend on the server's states
• Transient analysis of a queue with system disasters and 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
• Queues with system disasters and impatient customers when system is down
• Analysis of customers' impatience in queues with server vacations
• Impatience in Single Server Queueing Model
• \(M/M/1\) queue with impatient customers of higher priority

This page was built for publication: Transient analysis of M/M/1 queue with working vacation, heterogeneous service and customers’ impatience