Delay-optimal server allocation in multiqueue multiserver systems with time-varying connectivities
IEEE Transactions on Information Theory
Delay minimization in multiple access channels
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
Average-delay optimal policies for the point-to-point channel
WiOPT'09 Proceedings of the 7th international conference on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Joint MAC and rate control for stability and delay in wireless multi-access channels
Performance Evaluation
| Hi-index | 754.90 |
In this correspondence, we consider the problem of delay optimal rate allocation in a (potentially asymmetric) multiaccess channel. The rate feasibility region of such a network is well studied and is shown to be of a polymatroid structure. We consider this problem with unsaturated sources, i.e., jobs arrive at sources at random times and the source has the possibility of being empty. In such a setting, all stable rate allocation policies result in a throughput matched with the average arrival rate. Hence, we are interested in rate allocation policies that minimize expected delay in the system. In this correspondence, we show that a policy of threshold type is optimal in minimizing the average queueing delay. We study the average delay criterion as the limit of an infinite-horizon discounted cost function when the discount factor approaches 1.