Introduction aux choix discrets et applications dans le domaine du transport

  • Sébastien Joachim

    Student thesis: Master typesMaster in Mathematics

    Abstract

    Many choice situations in transport's field must be modelled to be studied. Whether the choice of transport mode, a journey, time of leaving, airport, etc.... All these choices can be modelled by the discrete choice theory. The researcher must understand and identify the various attributes that affect people's choices in that situation. The analyst can observe all the attributes, so there is in each of these choices a notion of randomness to take into account. By asking certain assumptions about the random part, it gets different models helping to make a deal with the situation that must be analyzed. Then he must decide which model is the most suited to the present situation, which model is the best to model the reality observed. In this thesis, we define the concept of Discrete Choice Theory and we develop the most used model of this theory: the Logit model. We also give the bases of three other models, the Nested Logit, the Probit and the Mixed-Logit. To be accessible, the different concepts of this theory are illustrated by examples. Since this thesis is an introduction to Discrete choices theory, we also chose not to give in details the various calculations used to find different formulas. At the end of the last two chapters, we also give some examples of work using the different models mentioned above.
    Date of Award30 Aug 2010
    Original languageFrench
    SupervisorEric Cornelis (Supervisor), Valerie HENRY (Jury), Philippe TOINT (Jury) & Anne Lemaitre (Jury)

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