A Fluid Limit for Processor-Sharing Queues Weighted by Functions of Remaining Amounts of Service
Yingdong Lu
Abstract
Open-access reader
Yingdong Lu
Abstract
Open-access reader
We study a single server queue under a processor-sharing type of scheduling policy, where the weights for determining the sharing are given by functions of each job's remaining service(processing) amount, and obtain a fluid limit for the scaled measure-valued system descriptors.
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We study a single server queue under a processor-sharing type of scheduling policy, where the weights for determining the sharing are given by functions of each job's remaining service(processing) amount, and obtain a fluid limit for the scaled measure-valued system descriptors.
Key concepts: Processor sharing, Queue, Limit (mathematics), Scheduling (production processes), Computer science, Service (business), Time-sharing, Measure (data warehouse)