A bounded path size route choice model excluding unrealistic routes: formulation and estimation from a large-scale GPS study

Abstract

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Choice set robustness and internal consistency in correlation-based logit stochastic user equilibrium models

“…As discussed further in e.g. Watling et al (2015Watling et al ( ,2018; Duncan et al (2021), with this approach, it is difficult to say with any certainty that no realistic alternative has been left out, since the route generation criteria is not consistent with the calculation of the choice probabilities among chosen routes, i.e. a route found by the generation criteria may be considered unrealistic by the choice probability criteria, and vice versa.…”

“…C-Logit (CL), Path Size Logit (PSL), Path Size Weibit (PSW), Path Size Hybrid (PSH)). For detailed reviews of correlation-based route choice models see Prashker & Bekhor (2004) and Duncan et al (2020Duncan et al ( ,2021. SUE and equivalent Mathematical Programming (MP) formulations as well as solution algorithms for GEV structure and correction term models can be found in the following.…”

Formulation and solution method of bounded path size stochastic user equilibrium models – consistently addressing route overlap and unrealistic routes

“…This technique, however, does not solve this problem entirely and only worsens in effectiveness as the choice sets are expanded and more unrealistic routes are included. Duncan et al (2021) thus investigate developing a path size route choice model that eliminates the path size contributions of unrealistic routes entirely, and once more, that removes all the negative effects of unrealistic routes, thereby fully solving the issue.…”

“…The BCM provides a consistent criterion for determining restricted choice sets of feasible routes and route choice probability, though route correlation is not considered. In Duncan et al (2021), the natural form for a Bounded Path Size (BPS) choice model is derived from inserting path size choice model utilities into the BCM formula in (24). As they show, however, appropriately defining the path size contribution factors within the path size terms is problematic, as demonstrated with a series examples.…”

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Bounded Path Size (BPS) route choice models (Duncan et al, 2021) offer a theoretically consistent and practical approach to dealing with both route overlap and unrealistic routes. It captures correlations between overlapping routes by including correction terms within the probability relations, and has a consistent criterion for assigning zero choice probabilities to unrealistic routes while eliminating their path size contributions.

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