Minimal revenue network tolling: system optimisation under stochastic assignment with elastic demand. (2006)
Book Chapter
Stewart, K., & Maher, M. (2006). Minimal revenue network tolling: system optimisation under stochastic assignment with elastic demand. In S. Lawphongpanich, D. Hearn, & M. Smith (Eds.), Mathematics in transport : selected proceedings of the 4th IMA International Conference on Mathematics in Transport : in honour of Richard Allsop (201-218). Boston, MA: Springer. https://doi.org/10.1007/0-387-29645-X_9

The classical road tolling problem is to toll network links such that, under the principles of Wardropian User Equilibrium (UE) assignment, a System Optimising (SO) flow pattern is obtained. Such toll sets are however non-unique, and further optimisa... Read More about Minimal revenue network tolling: system optimisation under stochastic assignment with elastic demand..

Stochastic social optimum traffic assignment (2005)
Journal Article
Maher, M., Stewart, K., & Rosa, A. (2005). Stochastic social optimum traffic assignment. Transportation Research Part B: Methodological, 39(8), 753-767. https://doi.org/10.1016/j.trb.2004.10.001

This paper formulates a Stochastic Social Optimum (SSO) that relates to the Stochastic User Equilibrium (SUE) in the same way as the Social Optimum (SO) relates to the User Equilibrium (UE) in a deterministic environment. At the SSO solution, the tot... Read More about Stochastic social optimum traffic assignment.