Sampling of alternatives in random regret minimization models

C. Angelo Guevara, Caspar G. Chorus, Moshe E. Ben-Akiva

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)
42 Downloads (Pure)

Abstract

Sampling of alternatives is often required in discrete choice models to reduce the computational burden and to avoid describing a large number of attributes. This approach has been used in many areas, including modeling of route choice, vehicle ownership, trip destination, residential location, and activity scheduling. The need for sampling of alternatives is accentuated for random regret minimization (RRM) models because, unlike random utility models, the regret function for each alternative depends on all of the alternatives in the choice-set. In this paper we develop and test a method to achieve consistency, asymptotic normality, and relative efficiency of the estimators while sampling alternatives in a class of models that includes RRM. The proposed method can be seen as an extension of the approach used to address sampling of alternatives in multivariate extreme value models. We illustrate the methodology using Monte Carlo experimentation and a case study with real data. Experiments show that the proposed method is practical, performs better than a truncated model, and results in finite-sample estimates that provide a good approximation of those obtained with a model considering all of the alternatives.

Original languageEnglish
Pages (from-to)306-321
Number of pages16
JournalTransportation Science
Volume50
Issue number1
DOIs
Publication statusPublished - 2016

Bibliographical note

Accepted Author Manuscript

Keywords

  • Large choice-sets
  • Random regret minimization
  • Sampling of alternatives

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