MULTIMODE STOCHASTIC DYNAMIC SIMULTANEOUS ROUTE/DEPARTURE TIME EQUILIBRIUM PROBLEM WITH QUEUES

Abstract

We propose a multimode stochastic dynamic simultaneous route/departure time equilibrium model. The mode-classes typically refer to different vehicle types such as passenger cars, trucks, and buses sharing the same road space. Each vehicle type has its own characteristics, such as free flow speed, vehicle size. We extend single mode deterministic point model to multimode deterministic point model for modeling the asymmetric interactions among various modes. We prove the multimode deterministic point model within each mode-user meets the FIFO discipline, and the speeds of different modes approach consistent during congestion. In order to avoid route enumeration, we present a stochastic dynamic network loading algorithm for simultaneous route and departure time choice maintaining the structure of the DYNASTOCH algorithm of Ran and Boyce (1996), and prove the algorithm does generate the result of the logit flow assignment, and then the diagonalisation algorithm is used to solve multimode stochastic dynamic simultaneous route/departure time equilibrium problem. Finally, the model and algorithm are tested by a numerical example in a simple network.