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Linear Programming Formulation for Strategic Dynamic Traffic Assignment

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Abstract

This work introduces a novel formulation of system optimal dynamic traffic assignment that captures strategic route choice in users under demand uncertainty. We define strategic route choice to be that users choose a path prior to knowing the true travel demand which will be experienced (therefore users consider the full set of possible demand scenarios). The problem is formulated based on previous work by Ziliaskopoulos (Transp Sci 34(1):37–49, 2000). The resulting novel formulation requires substantial enhancement to account for path-based flows and scenario-based stochastic demands. Further, a numerical demonstration is presented on a network with different demand loading profiles. Finally, model complexity, implications on scalability and future research directions are discussed.

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Acknowledgments

This research has been made possible by support from the National Science Foundation under CMMI grant #0927315, the 2012 UNSW Gold Star grant, and NICTA. NICTA is funded by the Australian Government as represented by the Department of Broadband, Communications and the Digital Economy and the Australian Research Council through the ICT Centre of Excellence program.

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Correspondence to S. Travis Waller.

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Waller, S.T., Fajardo, D., Duell, M. et al. Linear Programming Formulation for Strategic Dynamic Traffic Assignment. Netw Spat Econ 13, 427–443 (2013). https://doi.org/10.1007/s11067-013-9187-5

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