A note on the event horizon for a processor sharing queue

DOI10.1007/S11134-008-9081-XzbMath1162.90395OpenAlexW2083318589MaRDI QIDQ1025604

William A. Massey, Robert Cornelius Hampshire

Publication date: 19 June 2009

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.407.5632

zbMATH Keywords

transient behaviordiffusion limitssojourn timesfluid limitsuniform accelerationdynamical queueing systemsprocessor sharing queuesvirtual customers

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (1)

Additive functionals with application to sojourn times in infinite-server and processor sharing systems

Cites Work

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• The fluid limit of a heavily loaded processor sharing queue
• Invariant states and rates of convergence for a critical fluid model of a processor sharing queue.
• Diffusion approximation for a processor sharing queue in heavy traffic.
• Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates
• The Fluid Limit of an Overloaded Processor Sharing Queue

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