Exponential Backoff: Meta-Stability and Implicit Admission Control
This study investigates the long-term dynamic behavior and channel-sharing mechanisms of exponential backoff algorithms in distributed communication. To characterize the algorithm’s evolution over extended timescales, we analyze its metastable oscillations using stochastic process theory and validate our findings through numerical simulations with a custom-developed open-source Python package. For the first time, we theoretically prove and experimentally demonstrate that this algorithm achieves implicit admission control by restricting effective access sources, thereby exhibiting distinct metastable properties. By providing reproducible theoretical tools and source code, this work offers deep insights into the implicit congestion control mechanisms inherent in network protocols.