The design of the UNIX operating system
The design of the UNIX operating system
Processor-sharing queues: some progress in analysis
Queueing Systems: Theory and Applications
A closed network with a discriminatory processor-sharing server
SIGMETRICS '89 Proceedings of the 1989 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Asymptotic analysis of large closed queueing network with discriminatory processor sharing
Queueing Systems: Theory and Applications
Multiclass queueing systems: polymatroidal structure and optimal scheduling control
Operations Research - Supplement to Operations Research: stochastic processes
IEEE/ACM Transactions on Networking (TON)
Efficient fair queueing using deficit round-robin
IEEE/ACM Transactions on Networking (TON)
Time-shared Systems: a theoretical treatment
Journal of the ACM (JACM)
Sharing a Processor Among Many Job Classes
Journal of the ACM (JACM)
Applied operating system concepts
Applied operating system concepts
Impact of fairness on Internet performance
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Fixed point approximations for TCP behavior in an AQM network
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Scheduling flows with unknown sizes: approximate analysis
SIGMETRICS '02 Proceedings of the 2002 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Sojourn time asymptotics in the M/G/1 processor sharing queue
Queueing Systems: Theory and Applications
Sample-path conservation laws, with applications to scheduling queues and fluid systems
Queueing Systems: Theory and Applications
Insensitive Bandwidth Sharing in Data Networks
Queueing Systems: Theory and Applications
Mixed scheduling disciplines for network flows
ACM SIGMETRICS Performance Evaluation Review - Special issue on the fifth workshop on MAthematical performance Modeling and Analysis (MAMA 2003)
On Stochastic Bounds for Monotonic Processor Sharing Networks
Queueing Systems: Theory and Applications
Asymptotic regimes and approximations for discriminatory processor sharing
ACM SIGMETRICS Performance Evaluation Review
Sojourn time distribution in the M/M/1 queue with discriminatory processor-sharing
Performance Evaluation
Tail asymptotics for discriminatory processor-sharing queues with heavy-tailed service requirements
Performance Evaluation - Long range dependence and heavy tail distributions
Performance Evaluation - Performance 2005
Pricing for heterogeneous services at a discriminatory processor sharing queue
NETWORKING'05 Proceedings of the 4th IFIP-TC6 international conference on Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; Mobile and Wireless Communication Systems
Who should be given priority in a queue?
Operations Research Letters
ACM SIGMETRICS Performance Evaluation Review
On processor sharing and its applications to cellular data network provisioning
Performance Evaluation
Processor sharing: A survey of the mathematical theory
Automation and Remote Control
Approximating optimal load balancing policy in discriminatory processor sharing systems
Proceedings of the 2nd international conference on Performance evaluation methodologies and tools
Performance comparison of Flow Aware Networking (FAN) architectures under GridFTP traffic
Proceedings of the 2008 ACM symposium on Applied computing
Slowdown in the M/M/1 discriminatory processor-sharing queue
Performance Evaluation
On the twin measure and queueing systems predictability
Performance Evaluation
Optimal robust policies for bandwidth allocation and admission control in wireless networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
Simulating the performance of a class-based weighted fair queueing system
Proceedings of the 40th Conference on Winter Simulation
Optimal robust policies for bandwidth allocation and admission control in wireless networks
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
Evaluation of Flow-Aware Networking (FAN) architectures under GridFTP traffic
Future Generation Computer Systems
Analysis of multiclass feedback queues and its application to a packet scheduling problem
Proceedings of the 4th International Conference on Queueing Theory and Network Applications
A connection level model for IEEE 802.11 cells
Proceedings of the 5th International Latin American Networking Conference
ACM SIGMETRICS Performance Evaluation Review
Differential equation models of flow-size based priorities in internet routers
International Journal of Systems, Control and Communications
Monotonicity Properties for Multi-Class Queueing Systems
Discrete Event Dynamic Systems
Analysis of the M/G/1 queue with discriminatory random order service policy
Performance Evaluation
Towards more effective utilization of computer systems
Proceedings of the 2nd ACM/SPEC International Conference on Performance engineering
Simulating flow level bandwidth sharing with pareto distributed file sizes
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Heavy traffic approximation of equilibria in resource sharing games
WINE'11 Proceedings of the 7th international conference on Internet and Network Economics
Waiting times in queues with relative priorities
Operations Research Letters
Overcoming performance pitfalls in rate-diverse high speed WLANs
Computer Networks: The International Journal of Computer and Telecommunications Networking
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The Discriminatory Processor Sharing (DPS) model is a multi-class generalization of the egalitarian Processor Sharing model. In the DPS model all jobs present in the system are served simultaneously at rates controlled by a vector of weights {gk 0; k = 1,..., K }. If there are Nk jobs of class k present in the system, k = 1,..., K, each class-k job is served at rate $$g_k/\sum_{j=1}^K{g_j}{N_j}$$. The present article provides an overview of the analytical results for the DPS model. In particular, we focus on response times and numbers of jobs in the system.