New insights from a fixed-point analysis of single cell IEEE 802.11 WLANs
IEEE/ACM Transactions on Networking (TON)
A class of mean field interaction models for computer and communication systems
Performance Evaluation
Modeling per-flow throughput and capturing starvation in CSMA multi-hop wireless networks
IEEE/ACM Transactions on Networking (TON)
Fixed point analysis of single cell IEEE 802.11e WLANs: uniqueness and multistability
IEEE/ACM Transactions on Networking (TON)
Performance analysis of contention based medium access control protocols
IEEE Transactions on Information Theory
Performance analysis of the IEEE 802.11 distributed coordination function
IEEE Journal on Selected Areas in Communications
Large-scale games in large-scale systems
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Mean field stochastic games for SINR-based medium access control
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
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Performance evaluation of the 802.11 MAC protocol is classically based on the decoupling assumption, which hypothesizes that the backoff processes at different nodes are independent. A necessary condition for the validity of this approach is the existence and uniqueness of a solution to a fixed point equation. However, it was also recently pointed out that this condition is not sufficient; in contrast, a necessary and sufficient condition is a global stability property of the associated ordinary differential equation. Such a property was established only for a specific case, namely for a homogeneous system (all nodes have the same parameters) and when the number of backoff stages is either 1 or infinite and with other restrictive conditions. In this paper, we give a simple condition that establishes the validity of the decoupling assumption for the homogeneous case. We also discuss the heterogeneous and the differentiated service cases and show that the uniqueness condition is not sufficient; we exhibit one case where the fixed point equation has a unique solution but the decoupling assumption is not valid.