On computing per-session performance bounds in high-speed multi-hop computer networks
SIGMETRICS '92/PERFORMANCE '92 Proceedings of the 1992 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
IEEE/ACM Transactions on Networking (TON)
Performance and stability of communication networks via robust exponential bounds
IEEE/ACM Transactions on Networking (TON)
SIGCOMM '93 Conference proceedings on Communications architectures, protocols and applications
IEEE/ACM Transactions on Networking (TON)
Statistical analysis of generalized processor sharing scheduling discipline
SIGCOMM '94 Proceedings of the conference on Communications architectures, protocols and applications
Performance bounds in communication networks with variable-rate links
SIGCOMM '95 Proceedings of the conference on Applications, technologies, architectures, and protocols for computer communication
Diffusion based statistical call admission control in ATM
Performance Evaluation
Second moment resource allocation in multi-service networks
SIGMETRICS '97 Proceedings of the 1997 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
On the performance of multiplexing independent regulated inputs
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Performance Guarantees in Communication Networks
Performance Guarantees in Communication Networks
Delay bounds for a network of guaranteed rate servers with FIFO aggregation
Computer Networks: The International Journal of Computer and Telecommunications Networking
Analysis on Generalized Stochastically Bounded Bursty Traffic for Communication Networks
LCN '02 Proceedings of the 27th Annual IEEE Conference on Local Computer Networks
A Calculus for End-to-end Statistical Service Guarantees
A Calculus for End-to-end Statistical Service Guarantees
Statistical Per-Flow Service Bounds in a Network with Aggregate Provisioning
Statistical Per-Flow Service Bounds in a Network with Aggregate Provisioning
Relationship between guaranteed rate server and latency rate server
Computer Networks: The International Journal of Computer and Telecommunications Networking
A network service curve approach for the stochastic analysis of networks
SIGMETRICS '05 Proceedings of the 2005 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Network calculus: a theory of deterministic queuing systems for the internet
Network calculus: a theory of deterministic queuing systems for the internet
Analysis of stochastic service guarantees in communication networks: a server model
IWQoS'05 Proceedings of the 13th international conference on Quality of Service
Stochastically bounded burstiness for communication networks
IEEE Transactions on Information Theory
A calculus for network delay. I. Network elements in isolation
IEEE Transactions on Information Theory
A calculus for network delay. II. Network analysis
IEEE Transactions on Information Theory
New perspectives on network calculus
ACM SIGMETRICS Performance Evaluation Review
Fundamental calculus on generalized stochastically bounded bursty traffic for communication networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools
Network calculus and queueing theory: two sides of one coin: invited paper
Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools
On applying stochastic network calculus
Frontiers of Computer Science: Selected Publications from Chinese Universities
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The issue of Quality of Service (QoS) performance analysis in packet-switched networks has drawn a lot of attention in the networking community. There is a lot of work including an elegant theory under the name of network calculus, which focuses on analysis of deterministic worst case QoS performance bounds. In the meantime, researchers have studied stochastic QoS performance for specific schedulers. However, most previous works on deterministic QoS analysis or stochastic QoS analysis have only considered a server that provides deterministic service, i.e. deterministically bounded rate service. Few have considered the behavior of a stochastic server that provides input flows with variable rate service, for example wireless links. In this paper, we propose a stochastic network calculus to analyze the end-to-end stochastic QoS performance of a system with stochastically bounded input traffic over a series of deterministic and stochastic servers. We also prove that a server serving an aggregate of flows can be regarded as a stochastic server for individual flows within the aggregate. Based on this, the proposed framework is further applied to analyze per-flow stochastic QoS performance under aggregate scheduling.