Heuristic algorithms to solve 0-1 mixed integer LP formulations for traffic signal control problems

Qing He, Wei Hua Lin, Hongchao Liu, K. Larry Head

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations

Abstract

In this paper, three heuristic solution algorithms, (the Dive-and-Fix method, the Ratio-cluster method, and the Cumulative-departure method) are specially designed to solve the traffic signal control problem formulated as a 0-1 mixedinteger linear programming problem with cell transmission model. These three solution algorithms are based on two fundamental approaches. First, the 0-1 mixed-integer linear program is solved via linear relaxation (LR). Second, the noninteger solutions obtained from the LR are converted into the integer solutions by taking advantage of the underlying physical mechanism embedded in the LR solutions that lead to the optimal signal control. In particular, proportional capacities for different approaches and the cumulative exit flow at each intersection obtained from the LR solutions are utilized to determine green time allocation for each approach. It is demonstrated that the near-optimal solutions obtained with these algorithms are very close to the optimal solutions under both uncongested and congested traffic conditions.

Original languageEnglish
Title of host publicationProceedings of 2010 IEEE International Conference on Service Operations and Logistics, and Informatics, SOLI 2010
Pages118-124
Number of pages7
DOIs
StatePublished - 2010
Event2010 IEEE International Conference on Service Operations and Logistics, and Informatics, SOLI 2010 - QingDao, China
Duration: Jul 15 2010Jul 17 2010

Publication series

NameProceedings of 2010 IEEE International Conference on Service Operations and Logistics, and Informatics, SOLI 2010

Conference

Conference2010 IEEE International Conference on Service Operations and Logistics, and Informatics, SOLI 2010
CountryChina
CityQingDao
Period07/15/1007/17/10

Keywords

  • Cell transmission model
  • Heuristic algorithms
  • Linear relaxations
  • Traffic signal control

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    He, Q., Lin, W. H., Liu, H., & Head, K. L. (2010). Heuristic algorithms to solve 0-1 mixed integer LP formulations for traffic signal control problems. In Proceedings of 2010 IEEE International Conference on Service Operations and Logistics, and Informatics, SOLI 2010 (pp. 118-124). [5551595] (Proceedings of 2010 IEEE International Conference on Service Operations and Logistics, and Informatics, SOLI 2010). https://doi.org/10.1109/SOLI.2010.5551595