An \(M/M/c\) queue with queueing-time dependent service rates

DOI10.1016/j.ejor.2021.12.023zbMath1490.60250arXiv2107.04557OpenAlexW4205738602MaRDI QIDQ2077925

René Bekker, Vidyadhar G. Kulkarni, Bernardo D'auria, Ivo J. B. F. Adan

Publication date: 23 February 2022

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.04557

zbMATH Keywords

queueing\(M/M/c\) queuevariable service ratesqueueing-time dependency

Mathematics Subject Classification ID

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

Related Items

A single server retrial queue with event-dependent arrival rates

Uses Software

• GitHub

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Lévy input model with additional state-dependent services
• Continuous feedback fluid queues
• A feedback fluid queue with two congestion control thresholds
• Queues with service times and interarrival times depending linearly and randomly upon waiting times
• Fluid queues with level dependent evolution
• Queues with Lévy input and hysteretic control
• Load effect on service times
• On first-come, first-served queues with two classes of impatient customers
• On queues with service and interarrival times depending on waiting times
• The snowball effect of customer slowdown in critical many-server systems
• Service Systems with Slowdowns: Potential Failures and Proposed Solutions
• Lévy processes with adaptable exponent
• Algorithms for the multi-server queue with phase type service
• A Two Server Queue with Nonwaiting Customers Receiving Specialized Service
• A Psychological Perspective on Service Segmentation Models: The Significance of Accounting for Consumers’ Perceptions of Waiting and Service
• Single-Server Queues with Service Time Dependent on Waiting Time
• Clearing models for \(M/G/1\) queues