## Abstract

This work investigated stochastic distribution control theory-based traffic signal optimization to achieve a smooth and uniform flow of vehicles through signalized intersections. In this context, the static and linear dynamic stochastic distribution models were developed to express the relationship between the signal timing and the traffic queue length together with its probability density function. Two stochastic distribution control algorithms were designed to control the signal timing at intersections such that the probability density function of the traffic queue of each intersection road segment is made as narrow and as small as possible. Also, a recursive input-output traffic queue estimation model was proposed, which is data-driven and dynamic in nature, to calculate real-time traffic queue length using traffic signal timings and loop-detector data. The control algorithms were evaluated for a one-signal corridor, two-signal corridor, and $2 \times 2$ network of signalized intersections. MATLAB simulation examples are provided to demonstrate the use of the proposed algorithms and comparison to the existing widely-used semi-actuated control has been made. Desired results were obtained.

Original language | English |
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Pages (from-to) | 1885-1898 |

Number of pages | 14 |

Journal | IEEE Transactions on Intelligent Transportation Systems |

Volume | 23 |

Issue number | 3 |

DOIs | |

State | Published - Mar 1 2022 |

### Funding

This work was supported by the U.S. Department of Energy, Vehicle Technologies Office, Energy Efficient Mobility Systems (EEMS) Program’s Systems and Modeling for Accelerated Research in Transportation (SMART) Mobility Consortium, and by the Laboratory Directed Research and Development Program of Oak Ridge National Laboratory, managed by the UT-Battelle, LLC, for the U.S. Department of Energy under Contract DE-AC05-00OR22725.

Funders | Funder number |
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U.S. Department of Energy | |

Oak Ridge National Laboratory | DE-AC05-00OR22725 |

## Keywords

- Traffic queue model
- stochastic distribution control
- traffic queue control