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Optimal cycle for a signalized intersection using Global Optimization and Complementarity

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Abstract

A queueing system resulting from a signalised intersection regulated by pre-timed control in an urban traffic network is considered in this paper. Subsequently, we analyse the manner in which Global Optimisation and Complementarity may be used to determine the optimal cycle length and green split allocation for an isolated signalised intersection.

The model in question has been formulated as a Mathematical Program with Equilibrium (or Complementarity) Constraints (MPEC). A sequential complementarity algorithm for computing a global minimum for the MPEC is also subject to analysis in this paper. Furthermore, computational experience is included to demonstrate the efficiency of this method as an effective solution for the problem in question.

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References

  • Júdice JJ, Faustino AM (1991) A computational analysis of LCP methods for bilinear and concave quadratic programming. Comput Oper Res 18:645–654

    Article  Google Scholar 

  • Júdice JJ, Faustino AM (1992) A sequential LCP algorithm for bilevel linear programming. Ann Oper Res 34:89–106

    Article  Google Scholar 

  • Júdice JJ, Vicente L (1994) On the solution and complexity of a generalized linear complementarity problem. J Glob Optim 5:415–424

    Article  Google Scholar 

  • Júdice JJ, Faustino AM, Ribeiro IM (2002) On the solution of NP-hard linear complementarity problems. Top 10(1):125–145

    Article  Google Scholar 

  • Júdice JJ, Sherali HD, Ribeiro IM, Faustino AM (2006) A complementarity active-set algorithm for mathematical programming problems with equilibrium constraints. J Glob Optim 136:89–114

    Article  Google Scholar 

  • Lan CJ (2004) New optimal cycle length formulation for pre-timed signals at isolated intersections. J Transp Eng 130(5):637–647

    Article  Google Scholar 

  • Lan CJ, Gu X (2005) Optimal signal controls and effects of flow uncertainty. In: Proceedings of the 8th international IEEE conference on intelligent transportation systems, Austria, pp 549–554

    Google Scholar 

  • Murtagh B, Saunders A (1983) MINOS 5.0 user’s guide. Systems Optimization Laboratory, Department of Operations Research, Stanford University, SOL 83-20

  • Ribeiro IM (2005) Global Optimization and Applications to Structural Engineering. University of Porto, Porto (in Portuguese)

    Google Scholar 

  • Schutter BD, Moor BD (1998) Optimal traffic light control for a single intersection. Eur J Control 4(3):260–276

    Google Scholar 

  • Simões ML, Milheiro-Oliveira P, Pires da Costa A (2010) Modeling and simulation of traffic movements at semiactuated signalized intersections. J Transp Eng 136(6):554–564

    Article  Google Scholar 

  • Webster FV (1958) Traffic signal settings. Road Research Laboratory 39, HMSO, London

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Correspondence to Isabel M. Ribeiro.

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This paper reports research developed under financial support provided by the FCT-Fundação para a Ciência e Tecnologia, Portugal.

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Ribeiro, I.M., Simões, M.L. Optimal cycle for a signalized intersection using Global Optimization and Complementarity. TOP 20, 777–790 (2012). https://doi.org/10.1007/s11750-010-0167-3

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  • DOI: https://doi.org/10.1007/s11750-010-0167-3

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