Integrated network capacity expansion and traffic signal optimization problem: Robust bi-level dynamic formulation.

*(English)*Zbl 1202.90030Summary: This paper presents a robust optimization formulation, with an exact solution method, that simultaneously solves continuous network capacity expansion, traffic signal optimization and dynamic traffic assignment when explicitly accounting for an appropriate robustness measure, the inherent bi-level nature of the problem and long-term O-D demand uncertainty. The adopted robustness measure is the weighted sum of expected total system travel time (TSTT) and squared up-side deviation from a fixed target. The model propagates traffic according to Daganzo’s cell transmission model. Furthermore, we formulate five additional, related models. We find that when evaluated in terms of robustness, the integrated robust model performs the best, and interestingly the sequential robust approach yields a worse solution compared to certain sequential and integrated approaches. Although the adopted objective of the integrated robust model does not directly optimize the variance of TSTT, our experimental results show that the robust solutions also yield the least-variance solutions.

##### MSC:

90B06 | Transportation, logistics and supply chain management |

90B20 | Traffic problems in operations research |

90C90 | Applications of mathematical programming |

##### Keywords:

network design problem; signal optimization; dynamic traffic assignment; robust optimization; bilevel programming##### Software:

DICOPT
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\textit{A. Karoonsoontawong} and \textit{S. T. Waller}, Netw. Spat. Econ. 10, No. 4, 525--550 (2010; Zbl 1202.90030)

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