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A Mean-Variance Model for Route Guidance in Advanced Traveler Information Systems

Author

Listed:
  • Suvrajeet Sen

    (SIE Dept., University of Arizona, Tucson, Arizona 85721)

  • Rekha Pillai

    (ITS Group, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6206)

  • Shirish Joshi

    (I2 Technologies, Irving, Texas 75063)

  • Ajay K. Rathi

    (ITS Group, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6206)

Abstract

Traditional models of route generation are based on choosing routes that minimize expected travel-time between origin and destination. Such approaches do not account for the fact that travelers often incorporate travel-time variability within their decision making. Thus, a route with lower travel-time variability is preferred by some travelers, even if such a route is not one with the lowest mean travel-time. Such traveler behavior is best captured by a multiobjective model in which the choice of a route is based on the mean as well as the variance of the path travel-time. Our route-planning model is intended to help travelers make choices that reflect their decision-making process better. We formulate a network flow multiobjective model in which one of the objectives (expectation) is linear, whereas, the other (variance) is quadratic. In order to present the user with a series of options, we solve a series of parametric 0-1 quadratic integer programs. By utilizing the network structure of the problem, we devise an effective algorithm in which the 0-1 quadratic program is solved by using a continuous relaxation together with an enumeration of some selected paths. Finally, we note that the data requirements for the model can be easily satisfied in practice.

Suggested Citation

  • Suvrajeet Sen & Rekha Pillai & Shirish Joshi & Ajay K. Rathi, 2001. "A Mean-Variance Model for Route Guidance in Advanced Traveler Information Systems," Transportation Science, INFORMS, vol. 35(1), pages 37-49, February.
    • Handle: RePEc:inm:ortrsc:v:35:y:2001:i:1:p:37-49
    DOI: 10.1287/trsc.35.1.37.10141
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    References listed on IDEAS

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