ABSTRACT

The system model involves a detailed description of the constraints on the Thermal Network and the results and techniques to maximize the flow of packets subject to these constraints. This chapter describes optimal solutions to the problem of maximum flow through the following two models of a thermal network with capacity constraints on nodes. In the first model, a node that reaches a critical temperature stops functioning and can no longer be used to transmit packets. In the second model, the network does not have the same self-healing properties. The uniform networks, being a subset of nonuniform networks, do not require separate analyzation. In traffic network models, congestion control is attempted using variable pricing and other changes to node characteristics. In many networks, there are restrictions on the nodes, which may be repair constraints or pollution level constraints or the amount of data to be transferred through a node that is already stressed.