Publication Type

Journal Article

Version

publishedVersion

Publication Date

12-2017

Abstract

In this study, the authors improve the faster criterion in vehicle routing by extending the bi-delta distribution to the bi-normal distribution, which is a reasonable assumption for travel time on each road link. Based on this assumption, theoretical models are built for an arbitrary path and subsequently adopted to evaluate two candidate paths through probabilistic comparison. Experimental results demonstrate the bi-normal behaviour of link travel time in practice, and verify the faster criterion's superiority in determining the optimal path either on an artificial network with bi-normal distribution modelling link travel time or on a real road network with real traffic data. This study also validates that when the link number of one path is large, the probability density function of the whole path can be simplified by a normal distribution which approximates the sum of bi-normal distributions for each link.

Keywords

Vehicle routing, Normal distribution, Vehicle routing, Bidelta distribution, Road link, Theoretical models, Arbitrary path, Link travel time, Artificial network, Binormal distribution modelling, Real road network, Real traffic data, Probability density function

Discipline

Operations Research, Systems Engineering and Industrial Engineering

Research Areas

Intelligent Systems and Optimization

Publication

IET Intelligent Transport Systems

Volume

11

Issue

10

First Page

685

Last Page

694

ISSN

1751-956X

Identifier

10.1049/iet-its.2016.0288

Publisher

Wiley Open Access

Additional URL

https://doi.org/10.1049/iet-its.2016.0288

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