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Communication Dans Un Congrès Année : 2021

An inverse bilevel equilibrium problem for public transport demand estimation

Victoria M Orlando
  • Fonction : Auteur
Enrique G Baquela
  • Fonction : Auteur
Pablo A Lotito
  • Fonction : Auteur

Résumé

We consider the problem of demand estimation for public transport networks. Given an origin-destination matrix representing the public transport demand, the distribution of ow among different lines can be obtained assuming that it corresponds to a certain equilibrium characterized by an optimization problem. The knowledge of the origin-destination matrix is expensive and sometimes unaffordable in practice. Traditionally, it is estimated using statistical or econometrical considerations. In this work, we explore the estimation through the numerical solution of a bilevel optimization problem. One disadvantage of this formulation is the difficulty of obtaining descent directions, therefore we proposed a derivative-free method for the resolution of the optimization problem. The method is firstly tested on small networks using a derivative-free optimization method and then, using an approach based on simulation. This simulation-optimization methodology showed as good results as analytical modeling, opening the door to handle bigger networks where analytical computation is hard to accomplish.
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Dates et versions

hal-03658571 , version 1 (04-05-2022)

Identifiants

Citer

Victoria M Orlando, Enrique G Baquela, Neila Bhouri, Pablo A Lotito. An inverse bilevel equilibrium problem for public transport demand estimation. 16th IFAC Symposium on Control in Transportation Systems 2021, Jun 2021, Lille, France. pp.13-18, ⟨10.1016/j.ifacol.2021.06.002⟩. ⟨hal-03658571⟩
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