Constrained nested logit model
Formulation and estimation
Bibliographic Data
| ID | 19339099 |
|---|---|
| Authors | José Luis Espinosa-Aranda (0000-0001-5377-848X, University of Castilla-La Mancha, corresponding author), Ricardo García-Ródenas, Ricardo Garćıa-Ródenas (0000-0002-5092-0070, University of Castilla-La Mancha), María Luz López-García, Maŕıa Luz López-Garćıa (University of Castilla-La Mancha), Eusebio Angulo (0000-0002-2659-3129, University of Castilla-La Mancha) |
| Year | 2018 |
| Volume | 45 |
| Issue | 5 |
| Pages | 1523-1557 |
| Publication date | 2018-09-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Transportation (JOURNAL) |
| Journal identifiers | ISSN: 0049-4488 • E-ISSN: 1572-9435 |
| Publisher | Springer Science and Business Media LLC (PUBLISHER) |
| DOI | 10.1007/s11116-017-9774-2 |
| OpenAlex | W2599395646 |
| Language | EN |
| References cited | 43 |
A model of traveller behaviour should recognise the exogenous and endogenous factors that limit the choice set of users. These factors impose constraints on the decision maker, which constraints may be considered implicitly, as soft constraints imposing thresholds on the perception of changes in attribute values, or explicitly as hard constraints. The purpose of this paper is twofold: (1) To present a constrained nested logit-type choice model to cope with hard constraints. This model is derived from the entropymaximizing framework. (2) To describe a general framework to deal with (dynamic) nonlinear utilities. This approach is based on Reproducing Kernel Hilbert Spaces. The resulting model allows the dynamic aspect and the constraints on the choice process to be represented simultaneously. A novel estimation procedure is introduced in which the utilities are viewed as the parameters of the proposed model instead of attribute weights as in the classical linear models. A discussion on over-specification of the proposed model is presented. This model is applied to a synthetic test problem and to a railway service choice problem in which users choose a service depending on the timetable, ticket price, travel time and seat availability (which imposes capacity constraints). Results show (1) the relevance of incorporating constraints into the choice models, (2) that the constrained models appear to be a better fit than the counterpart unconstrained choice models; and (3) the viability of the approach, in a real case study of railway services on the Madrid-Seville corridor (Spain)
Discrete choice · Econometrics · Kernel density estimation · Mathematical optimization · Nested logit · Set (abstract data type) · Computer Science · Economic and Environmental Valuation · Mathematics · Transportation Planning and Optimization · Urban Transport and Accessibility
| Highly cited | No |
|---|