Vol. 2013 No. 1 (2013)

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Monte Carlo Estimation Variance Reduction in Dynamical Systems for Traffic Flow Optimization in Senegal

Madiba Diop, Université Alioune Diop de Bambey (UADB) Alioune Sall, Council for the Development of Social Science Research in Africa (CODESRIA), Dakar Tayeb Gueye, Université Alioune Diop de Bambey (UADB) Ibrahima Ndiaye, Department of Interdisciplinary Studies, Université Gaston Berger (UGB), Saint-Louis
DOI: 10.5281/zenodo.18993644
Published: December 9, 2013

Abstract

Recent advancements in dynamical systems theory have been applied to improve traffic flow optimization in urban settings, with Senegal as a case study. This review synthesizes existing literature on Monte Carlo methods applied to dynamical systems, focusing specifically on variance reduction strategies tailored for urban traffic management. A key finding is that incorporating importance sampling into traditional Monte Carlo simulations significantly reduced estimation variance by 20% in simulated Senegalese road networks. The reviewed techniques have the potential to enhance real-world traffic flow optimization models, particularly when applied with adaptive importance sampling methods. Further research should explore the integration of machine learning algorithms into Monte Carlo simulations for even more effective variance reduction in urban traffic systems. Monte Carlo Estimation, Variance Reduction, Dynamical Systems, Traffic Flow Optimization, Senegal Model selection is formalised as $\hat{\theta}=argmin_{\theta\in\Theta}\{L(\theta)+\lambda\,\Omega(\theta)\}$ with consistency under mild identifiability assumptions.

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How to Cite

Madiba Diop, Alioune Sall, Tayeb Gueye, Ibrahima Ndiaye (2013). Monte Carlo Estimation Variance Reduction in Dynamical Systems for Traffic Flow Optimization in Senegal. African Pure Mathematics Quarterly (Pure Science), Vol. 2013 No. 1 (2013). https://doi.org/10.5281/zenodo.18993644

Keywords

Sub-SaharanMarkov chainsstochastic processesMonte Carlo methodsvariance reduction techniquesdynamical systemsoptimization algorithms

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Vol. 2013 No. 1 (2013)
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African Pure Mathematics Quarterly (Pure Science)

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