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This paper presents a new approach for performance evaluation of the IEEE 802.11 Medium Access Control (MAC) protocol. The approach is based on system approximations, where the statistical characteristics of the protocol operations are studied and approximated by an appropriate phase-type distribution. A queueing model that incorporates bursty arrival… (More)

— This paper presents the Poisson Pareto burst process (PPBP) as a simple but accurate model for Internet traffic. It presents formulae relating the parameters of the PPBP to measurable traffic statistics, and describes a technique for fitting the PPBP to a given traffic stream. The PPBP is shown to accurately predict the queueing performance of a sample… (More)

—MaxNet is a distributed congestion control architecture. This paper analyzes the stability properties of MaxNet. We show that MaxNet is stable for networks with arbitrary delays, numbers of sources, capacities, and topologies. Unlike existing proposals , MaxNet does not need to estimate the number of bottleneck links on the end-to-end path to achieve these… (More)

— A new approach for modeling and performance analysis of the IEEE 802.11 medium access control (MAC) protocol is presented. The approach is based on the so-called system approximation technique, where the protocol service time distribution of the IEEE 802.11 MAC protocol is studied and approximated by an appropriate phase-type distribution, leading to the… (More)

On the Internet all the bottlenecked links of a source to destination path contribute to the aggregate congestion signal that controls the source rate. We introduce an architecture, MaxNet, in which only one link, the most severely bottlenecked link on the end-to-end path, controls the source rate. We prove that MaxNet results in MaxMin fairness for sources… (More)

— Transmission of the acknowledgement frame after a packet reception is optional in the IEEE 802.15.4 standard. Considering a set of sensor nodes, each of which has a packet to transmit at the beginning of an active period, we provide an analysis that yields the packet loss statistics of the non-acknowledgement mode of the standard. The analysis is based on… (More)

—This paper provides a scalable framework for analysis and performance evaluation of optical burst-switching (OBS) networks. In particular, a new reduced load fixed point approximation model to evaluate blocking probabilities in OBS networks is introduced. The model is versatile enough to cover known OBS reservation policies such as just-enough-time,… (More)

— This paper provides a framework for analysis and performance evaluation of Optical Burst Switching (OBS) networks. In particular, a new reduced load fixed point approximation model to evaluate blocking probabilities in OBS networks is introduced. The model is versatile enough to cover known OBS reservation policies such as Just-Enough-Time (JET),… (More)

This paper provides a method for approzimating the probability distributions of stationary statistics in FIFO single server queues. The method is based on the Wiener Hopf factorization technique, and is applied to semi-Markov queues where the underlying state space is of unlimited size. A particularly important case is a model for a statistical multiplezer… (More)

—In this letter, we propose a new active queue management (AQM) scheme to improve the performance of the well-known random early detection (RED) AQM. The new AQM is based on the proportional derivative (PD) control principle, and we call it PD-RED. In PD-RED we introduce minimal changes to RED. We demonstrate the improvement in performance of PD-RED over… (More)