QoS Routing under Adversarial Binary Uncertainty
NATIONAL INST OF STANDARDS AND TECHNOLOGY GAITHERSBURG MD
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A cost-based admission control and routing scheme admits an arriving request on the minimum cost route if this cost does not exceed the cost of the request, and rejects the request otherwise. Cost-based strategies naturally arise as a result of optimization of the network performance or incorporating Quality of Service QoS requirements into the admission and routing processes. In the former case, the implied cost of the resources represents expected future revenue losses due to insufficient resources to service future requests. In the latter case, the cost of a route represents the expected level of QoS e.g., bandwidth, delay, packet loss, etc. provided to the request carried on this route. In both cases, due to aggregation, the statistical nature of the resource costs, propagation and queueing delays in disseminating signaling information, or a nonsteady or adversarial operational environment the cost of the resources may not be known exactly. Usually, this uncertainty is modeled by assuming that resource costs are random variables with fixed probability distributions, which may or may not be known to the network. This paper explores a different approach intended to guard against adversarial uncertainty i.e., worst case scenario with respect to the resource costs lying within known confidence intervals. We assume that the network minimizes and the adversarial environment maximizes the loss or risk resulting from nonoptimal admission and routing decisions due to the uncertainty. In a symmetric case, we explicitly identify the optimal network strategy by solving the corresponding game of the network against environment.
- Statistics and Probability
- Computer Systems