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Risk-aware path selection with time-varying, uncertain travel costs: a time series approach

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Abstract

We address the problem of choosing the best paths among a set of candidate paths between the same origin–destination pair. This functionality is used extensively when constructing origin–destination matrices in logistics and flex transportation. Because the cost of a path, e.g., travel time, varies over time and is uncertain, there is generally no single best path. We partition time into intervals and represent the cost of a path during an interval as a random variable, resulting in an uncertain time series for each path. When facing uncertainties, users generally have different risk preferences, e.g., risk-loving or risk-averse, and thus prefer different paths. We develop techniques that, for each time interval, are able to find paths with non-dominated lowest costs while taking the users’ risk preferences into account. We represent risk by means of utility function categories and show how the use of first-order and two kinds of second-order stochastic dominance relationships among random variables makes it possible to find all paths with non-dominated lowest costs. We report on empirical studies with large uncertain time series collections derived from a 2-year GPS data set. The study offers insight into the performance of the proposed techniques, and it indicates that the best techniques combine to offer an efficient and robust solution.

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Notes

  1. http://www.postnord.dk/.

  2. https://www.flexdanmark.dk/.

  3. http://academic.udayton.edu/kissock/http/Weather/.

  4. https://www-01.ibm.com/software/commerce/optimization/cplex-optimizer/.

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Acknowledgements

This research was supported in part by a grant from the Obel Family Foundation and by the DiCyPS center, funded by Innovation Fund Denmark.

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Authors and Affiliations

  1. Department of Computer Science, Aalborg University, Aalborg, Denmark

    Jilin Hu, Bin Yang, Chenjuan Guo & Christian S. Jensen

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  1. Jilin Hu
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  2. Bin Yang
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  3. Chenjuan Guo
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  4. Christian S. Jensen
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Correspondence to Bin Yang.

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Hu, J., Yang, B., Guo, C. et al. Risk-aware path selection with time-varying, uncertain travel costs: a time series approach. The VLDB Journal 27, 179–200 (2018). https://doi.org/10.1007/s00778-018-0494-9

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  • DOI: https://doi.org/10.1007/s00778-018-0494-9

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