Sojourn time distribution in some processor-shared queues
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Publication:4294300
DOI10.1017/S0956792500001224zbMath0805.90047MaRDI QIDQ4294300
Publication date: 24 May 1994
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
asymptotic expansionsperturbation methodssojourn timeprocessor sharingDirac delta function\(M/M/1/K\) queues
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)
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Cites Work
- Asymptotic Expansions of Moments of the Waiting Time in a Shared-Processor of an Interactive System
- Asymptotic expansions of moments of the waiting time in closed and open processor-sharing systems with multiple job classes
- Heavy-usage asymptotic expansions for the waiting time in closed processor-sharing systems with multiple classes
- The sojourn time in the GI/M/1 queue by processor sharing
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- Asymptotic Analysis of the Waiting-Time Distribution for a Large Closed Processor-Sharing System
- Processor-Shared Time-Sharing Models in Heavy Traffic
- Conditioned Response-Time Distribution for a Large Closed Processor-Sharing System in Very Heavy Usage
- Conditioned Response-Time Distribution for a Large Closed Processor-Sharing System with Multiple Classes in Very Heavy Usage
- The Distribution of Queuing Network States at Input and Output Instants
- Heavy Traffic Analysis of the Sojourn Time in Tandem Queues with Overtaking
- On Finite Capacity Processor-Shared Queues
- Moments of the conditioned waiting time in a large closed processor-sharing system
- Waiting Time Distributions for Processor-Sharing Systems
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