3 papers
math.OC2026
Spectral analysis of the logit mapping and implications for stochastic user equilibrium algorithms
Debojjal Bagchi, Stephen D. Boyles
We analyze the Jacobian of the logit mapping for stochastic user equilibrium (SUE) and use it to develop two improved algorithms for path-based SUE. We show that the Jacobian decom…
cs.GT2026
Departure Time Choice with Parametric Heterogeneity: Equilibrium and Instability
Hillel Bar-Gera, Stephen D. Boyles, Liron Ravner
Vickrey's classic single-bottleneck departure time choice equilibrium model exhibits instability under many plausible day-to-day learning dynamics. Such instability is not observed…
math.OC2025
Transportation Network Analysis, Volume I: Static and Dynamic Traffic Assignment
Stephen D. Boyles, Nicholas E. Lownes, Avinash Unnikrishnan
This book covers static and dynamic traffic assignment models used in transportation planning and network analysis. Traffic assignment is the final step in the traditional planning…