Recently a methodology for tra c networks has been developed which extracts congestion toll sets such that the tolled user equilibrium is system optimal. Properties of toll sets, such as convexity, are investigated, as well as relationships with other problems. For a given toll set, various objectives can be de ned and optimized with respect to the tolls. Examples include minimizing the total t...

The Internet is established on the best-effort service model. The Transmission Control Protocol employed in the current Internet has both fairness and efficiency issues. Pricing scheme has been proposed to address the fairness issue and prevent aggressive users occupying excessive network resource. Random early detection (RED) for the incipient congestion in routers, together with explicit cong...

| We provide a tutorial review, by example, of how to calculate optimal bus prices and congestion costs for a simple power system, using the \DC" loaddow approximation. It is also shown how to calculate the marginal eeect of changing the impedance of a transmission on total system costs, and how this can be used for transmission planning purposes. The role of long-term contracts for hedging and...

We consider an implementation problem faced by a planner who manages a roadway network. The problem entails both hidden information and hidden actions. We solve the planner's problem by introducing a new class of mechanisms and a new notion of implementation. The mechanisms, called price schemes, attach transfers to the available routes; they do not involve direct revelation. The method of impl...

Quality of service requirements are satissed conjointly by the service model, which determines how resources are shared and by network engineering , which determines how much capacity is provided. In this paper we consider the impact of the adopted charging scheme on the feasibility of fulllling QoS requirements. We identify three categories of charging scheme based respectively on at rate pric...