Finding the most reliable path with and without link travel time correlation: A Lagrangian substitution based approach

Tao Xing and Xuesong Zhou

Transportation Research Part B: Methodological, 2011, vol. 45, issue 10, 1660-1679

Abstract: Path travel time reliability is an essential measure of the quality of service for transportation systems and an important attribute in travelers’ route and departure time scheduling. This paper investigates a fundamental problem of finding the most reliable path under different spatial correlation assumptions, where the path travel time variability is represented by its standard deviation. To handle the non-linear and non-additive cost functions introduced by the quadratic forms of the standard deviation term, a Lagrangian substitution approach is adopted to estimate the lower bound of the most reliable path solution through solving a sequence of standard shortest path problems. A subgradient algorithm is used to iteratively improve the solution quality by reducing the optimality gap. To characterize the link travel time correlation structure associated with the end-to-end trip time reliability measure, this research develops a sampling-based method to dynamically construct a proxy objective function in terms of travel time observations from multiple days. The proposed algorithms are evaluated under a large-scale Bay Area, California network with real-world measurements.

Keywords: Shortest path algorithm; Path travel time reliability; Reliable route; Lagrangian relaxation method (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (29)

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DOI: 10.1016/j.trb.2011.06.004

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