The present paper shows how this elastic dynamic equilibrium assignment model can be used in a formulation of equilibrium network design that recognises the characteristics of network performance under congested conditions. We identify first-order optimality conditions for this formulation that make explicit use of derivatives of the equilibrium costs of travel with respect to the amount of travel and the network design parameters. A novel sensitivity analysis is then developed for variations in elements of the design of networks under dynamic equilibrium departure time and route choice. Explicit formulae are established for the associated partial derivatives, which can then be used in the optimality conditions for network design in certain simple cases; their extension to more general cases is discussed. The results of a design exercise for a small example network are presented and discussed. (Author/publisher) For the covering entry of this conference, please see ITRD abstract No. E208120.
Samenvatting