Abstract
A class of simple recursive procedures for decentralized control of a multi-access broadcast channel is presented. The procedures are designed to maintain a constant level of channel traffic in the presence of backlog fluctuations. The control procedures give rise to simple Markov chain models for the system and stable throughput is achieved for input rates lambda less than e** minus **1. A general technique and some results based on the analysis of drift are introduced for obtaining bounds of geometric type on marginal distributions, hitting time distributions, and occupation measures of random processes. The technique can be used to prove stability of the control policies presented.
Original language | English (US) |
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Pages (from-to) | 618-623 |
Number of pages | 6 |
Journal | Proceedings of the IEEE Conference on Decision and Control |
Volume | 1 |
DOIs | |
State | Published - 1980 |
Externally published | Yes |
Event | Unknown conference - Albuquerque, NM Duration: Dec 10 1980 → Dec 12 1980 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization