The M/G/1 queue with processor sharing and its relation to a feedback queue
Queueing Systems: Theory and Applications
Time-shared Systems: a theoretical treatment
Journal of the ACM (JACM)
Sharing a Processor Among Many Job Classes
Journal of the ACM (JACM)
Performance Evaluation - Performance 2005
A survey on discriminatory processor sharing
Queueing Systems: Theory and Applications
ACM SIGMETRICS Performance Evaluation Review
On processor sharing and its applications to cellular data network provisioning
Performance Evaluation
Slowdown in the M/M/1 discriminatory processor-sharing queue
Performance Evaluation
ACM SIGMETRICS Performance Evaluation Review
Differential equation models of flow-size based priorities in internet routers
International Journal of Systems, Control and Communications
Computer Networks: The International Journal of Computer and Telecommunications Networking
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We study the joint queue length distribution of the Discriminatory Processor Sharing model, assuming all classes have phase-type service requirement distributions. We show that the moments of the joint queue length distribution can be obtained by solving linear equations. We use this to study the system in two asymptotic regimes. In the first regime, the different user classes operate on strictly separated time scales. Then we study the system in heavy traffic.