Mathematical problems in stability, control and reliability of random access communication systems
Abstract
Current research is focused on three problems: (1) stability analysis of the exponential back-off protocol; (2) a diffusion approximation for the steady state distribution of the slotted ALOHA protocol; and (3) a Poisson limit theorem for a load balancing protocol. Work began on applying Stochastic Catastrophe Theory to the study of the exponential back-off protocol when there are a finite number of users. Work is also planned on a theoretical analysis of the diffusion approximation to the slotted ALOHA protocol. (Author).
- Publication:
-
Annual Report
- Pub Date:
- June 1985
- Bibcode:
- 1985umas.rept.....R
- Keywords:
-
- Communication Theory;
- Diffusion;
- Limits (Mathematics);
- Poisson Density Functions;
- Stability;
- Controllability;
- Random Access Memory;
- Reliability;
- Steady State;
- Telecommunication;
- Theorems;
- Communications and Radar