On the Use of a Modified Latin Hybercube Sampling (MLHS) Method in the Estimation of a Mixed Logit Model for Vehicle Choice

Quasi-random number sequences have been used extensively for many years in the simulation of integrals that do not have a closed-form expression, such as Mixed Logit and Multinomial Probit choice probabilities. Halton sequences are one example of such quasi-random number sequences, and various types of Halton sequences, including standard, scrambled, and shuffled versions, have been proposed and tested in the context of travel demand modeling. In this paper, we propose an alternative to Halton sequences, based on an adapted version of Latin Hypercube Sampling. These alternative sequences, like scrambled and shuffled Halton sequences, avoid the undesirable correlation patterns that arise in standard Halton sequences. However, they are easier to create than scrambled or shuffled Halton sequences. They also provide more uniform coverage in each dimension than any of the Halton sequences. A detailed analysis, using a 16-dimensional Mixed Logit model for choice between alternative-fuelled vehicles in California, was conducted to compare the performance of the different types of draws. The analysis shows that, in this application, the Modified Latin Hypercube Sampling (MLHS) outperforms each type of Halton sequence. This greater accuracy combined with the greater simplicity make the MLHS method an appealing approach for simulation of travel demand models and simulation-based models in general.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/01912615
• Supplemental Notes:
  • Abstract reprinted with permission from Elsevier
• Authors:
  • Hess, Stephane
  • Train, Kenneth E
  • Polak, John W
• Publication Date: 2006-2

Language

• English

Media Info

• Media Type: Print
• Features: References; Tables;
• Pagination: pp 147-163
• Serial:
  • Transportation Research Part B: Methodological
  • Volume: 40
  • Issue Number: 2
  • Publisher: Elsevier
  • ISSN: 0191-2615
  • Serial URL: http://www.sciencedirect.com/science/journal/01912615

Subject/Index Terms

• TRT Terms: Alternate fuels; Logits; Mathematical models; Sampling; Simulation; Theoretical studies; Travel demand
• Uncontrolled Terms: Halton sequences; Latin hypercube sampling; Mixed logit models; Vehicle choice
• Geographic Terms: California
• Subject Areas: Highways; Planning and Forecasting; Society; Vehicles and Equipment; I72: Traffic and Transport Planning; I90: Vehicles;

Filing Info

• Accession Number: 01014723
• Record Type: Publication
• Files: TRIS
• Created Date: Dec 27 2005 9:01AM