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Constrained nested logit model: formulation and estimation

机译：约束嵌套logit模型：公式化和估计

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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 entropy-maximizing 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).
机译：旅行者行为模型应该认识到限制用户选择的外在和内在因素。这些因素对决策者施加了约束，可以将这些约束隐式地视为软约束，将软阈值强加在属性值变化的感知上，或者明确地作为硬约束。本文的目的是双重的：（1）提出一种约束嵌套的logit类型选择模型来应对硬约束。该模型是从熵最大化框架中得出的。 （2）描述一个处理（动态）非线性工具的通用框架。此方法基于重现内核希尔伯特空间。结果模型允许动态方面和选择过程中的约束同时表示。引入了一种新颖的估计程序，其中将效用视为拟议模型的参数，而不是像传统线性模型中那样将属性权重视为。提出了对所提出的模型的超规范的讨论。该模型适用于综合测试问题和铁路服务选择问题，在该问题中，用户根据时间表，票价，出行时间和座位可用性（这会限制容量）选择服务。结果表明：（1）将约束纳入选择模型的相关性；（2）约束模型似乎比对应的无约束选择模型更好。 （3）该方法的可行性，在马德里-塞维利亚走廊（西班牙）铁路服务的真实案例研究中。

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