Public transit corridor assignment assuming congestion due to passenger boarding and alighting. http://dx.doi.org/10.1007/s11067-007-9054-3

Abstract

This paper proposes a formulation of deterministic equilibrium in a public
transit corridor that takes into account the congestion effect as perceived directly in
travel times. The identification of the relationship between flows and travel times
includes time at transit stops for passenger boarding and alighting. A simple case is
analyzed that demonstrates the existence of equilibria in which identical users adopt
different travel strategies, and a method is supplied for determining such an
equilibrium. To find the general case assignment for a corridor, an assignment
algorithm based on incremental flow increases is also presented. Finally, the
algorithm is implemented in a simple corridor. The results show that identical users
faced with the same trip must be allowed to take different decisions for an
equilibrium assignment to exist.