Kalman-Filtering formulation details for Dynamic OD passenger matrix estimation

In this paper, we describe how to estimate time-sliced origin-destination (OD) matrices for passengers in a public transport network based on counts of ICT (Intelligent Communication Technology) devices carried by passengers at equipped transit-stops. The transit assignment framework is based on optimal strategy, which determines the subset of paths related to the optimal strategies between all OD pairs for the whole horizon of study. Details are provided on how to build the involved equations in a linear Kalman filtering model formulation, which is defined by the authors for a toy network that is proposed to validate the approach.

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