On packet loss processes in high-speed networks
IEEE INFOCOM '92 Proceedings of the eleventh annual joint conference of the IEEE computer and communications societies on One world through communications (Vol. 1)
Some algorithms for discrete time queues with finite capacity
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
Conditional overflow probability and profile curve for ATM congestion detection
INFOCOM'96 Proceedings of the Fifteenth annual joint conference of the IEEE computer and communications societies conference on The conference on computer communications - Volume 3
IEEE Journal on Selected Areas in Communications
On the throughput, capacity, and stability regions of random multiple access
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
First Passage Time Analysis in Wireless Sensor Networks for SPR and MPR Systems
Wireless Personal Communications: An International Journal
Hi-index | 0.00 |
We consider the slotted ALOHA protocol on a channel with a capture effect. There are M users each with an infinite buffer. If in a slot, i packets are transmitted, then the probability of a successful reception of a packet is q_i. This model contains the CDMA protocols as special cases. We obtain sufficient rate conditions, which are close to necessary for stability of the system, when the arrival streams are stationary ergodic. Under the same rate conditions, for general regenerative arrival streams, we obtain the rates of convergence to stationarity, finiteness of stationary moments and various functional limit theorems. Our arrival streams contain all the traffic models suggested in the recent literature, including the ones which display long range dependence. We also obtain bounds on the stationary moments of waiting times which can be tight under realistic conditions. Finally, we obtain several results on the transient performance of the system, e.g., first time to overflow and the limits of the overflow process. We also extend the above results to the case of a capture channel exhibiting Markov modulated fading. Most of our results and proofs will be shown to hold also for the slotted ALOHA protocol without capture.