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Multiple discrete-continuous choice models with bounds on consumptions
Transportation Research Part A: Policy and Practice ( IF 6.4 ) Pub Date : 2021-05-28 , DOI: 10.1016/j.tra.2021.03.016
Shobhit Saxena , Abdul Rawoof Pinjari , Ananya Roy , Rajesh Paleti

This paper derives a multiple discrete–continuous (MDC) choice model formulation with constraints that specify upper bounds on consumption. To do so, considering the conventional utility maximization problem of a consumer, the Karush-Kuhn-Tucker (KKT) conditions are laid out for the MDC model with a general set of linear constraints that include inequalities. Subsequently, we derive a model with constraints that accommodate upper bounds on consumptions and an additive utility structure that accommodates lower bounds on consumptions. The likelihood expression for the proposed model takes a closed form. Furthermore, we extend the formulation to impose bounds on an MDC choice model with activity episode-level choice alternatives that accommodates a logical ordering among different episodes of an activity. The proposed models are derived for two different specifications of the outside good utility – (1) nonlinear utility with respect to consumption and (2) linear utility with respect to consumption. The proposed models are applied to an empirical context to analyze activity-level as well as episode-level activity participation and time allocation while considering bounds on time allocations. Empirical results suggest that the models that consider upper bounds on consumption offer a better fit to data, avoid predictions of unrealistically large time allocations, and result in overall better predictions than those from models without bounds. The proposed models are useful in situations, such as microsimulation models of travel demand, where it is crucial to avoid unrealistically large predictions.



中文翻译:

具有消费边界的多个离散连续选择模型

本文导出了一个多重离散-连续 (MDC) 选择模型公式,其约束指定了消费的上限。为此,考虑到消费者的传统效用最大化问题,为 MDC 模型设计了 Karush-Kuhn-Tucker (KKT) 条件,其中包含一组包含不等式的一般线性约束。随后,我们推导出一个模型,该模型具有适应消费上限的约束和一个适应消费下界的附加效用结构。所提出模型的似然表达式采用封闭形式。此外,我们扩展了公式以对具有活动情节级别选择替代方案的 MDC 选择模型施加界限,该选择方案适应活动的不同情节之间的逻辑顺序。所提出的模型是针对外部商品效用的两种不同规格推导出来的——(1)关于消费的非线性效用和(2)关于消费的线性效用。将所提出的模型应用于经验背景,以分析活动级别以及情节级别的活动参与和时间分配,同时考虑时间分配的界限。实证结果表明,考虑到消费上限的模型比没有边界的模型更适合数据,避免了对不切实际的大时间分配的预测,并且总体上得到了更好的预测。所提出的模型在诸如旅行需求的微观模拟模型之类的情况下很有用,在这种情况下,避免不切实际的大型预测至关重要。

更新日期:2021-05-30
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