A Computationally Efficient Simulation-Based Optimization Algorithm for Large-Scale Urban Transportation Problems

This paper proposes a computationally efficient simulation-based optimization SO algorithm suitable to address large-scale generally constrained urban transportation problems. The algorithm is based on a novel metamodel formulation. We embed the metamodel within a derivative-free trust region algorithm and evaluate the performance of this SO approach considering tight computational budgets. We address a network-wide traffic signal control problem using a calibrated microscopic simulation model of evening peak period traffic of the full city of Lausanne, Switzerland, which consists of more than 600 links and 200 intersections. We control 99 signal phases of 17 intersections distributed throughout the entire network. This SO problem is a high-dimensional nonlinear constrained problem. It is considered large-scale and complex in the fields of derivative-free optimization, traffic signal optimization, and simulation-based optimization. We compare the performance of the proposed metamodel method to that of a traditional metamodel method and that of a widely used commercial signal control software. The proposed method systematically and efficiently identifies signal plans with improved average city-wide travel times.

[1]  Gilberto Nakamiti,et al.  Fuzzy sets in distributed traffic control , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[2]  John L. Nazareth,et al.  Introduction to derivative-free optimization , 2010, Math. Comput..

[3]  E. Bert,et al.  Simulation de l"agglomération lausannoise, SIMLO , 2006 .

[4]  Jack P. C. Kleijnen,et al.  Response surface methodology for constrained simulation optimization: An overview , 2008, Simul. Model. Pract. Theory.

[5]  Amedeo R. Odoni,et al.  An Empirical Investigation of the Transient Behavior of Stationary Queueing Systems , 1983, Oper. Res..

[6]  Shu Lin,et al.  Efficient model predictive control for large-scale urban traffic networks , 2011 .

[7]  Constantinos Antoniou,et al.  On-line calibration for dynamic traffic assignment , 2004 .

[8]  M. Bacic On hardware-inthe-loop simulation , 2005 .

[9]  Haris N. Koutsopoulos,et al.  Dynamic data-driven local traffic state estimation and prediction , 2013 .

[10]  Oladele A. Ogunseitan,et al.  in Transportation Science , 2009 .

[11]  Amedeo R. Odoni,et al.  Decomposition Algorithms for Analyzing Transient Phenomena in Multiclass Queueing Networks in Air Transportation , 2015, Oper. Res..

[12]  Leah Adrian Anderson,et al.  Data-Driven Methods for Improved Estimation and Control of an Urban Arterial Traffic Network , 2015 .

[13]  Guitton Henri Queues, Inventories and Maintenance: The Analysis of Operational Systems with Variable Demand and Supply , 2004 .

[14]  Ramachandran Balakrishna,et al.  Off-line calibration of Dynamic Traffic Assignment models , 2006 .

[15]  P. A. Newman,et al.  Optimization with variable-fidelity models applied to wing design , 1999 .

[16]  D. Gleich TRUST REGION METHODS , 2017 .

[17]  Michel Bierlaire,et al.  A Simulation-Based Optimization Framework for Urban Transportation Problems , 2013, Oper. Res..

[18]  Qi Yang,et al.  Evaluation of freeway control using a microscopic simulation laboratory , 2003 .

[19]  Shang Zhi,et al.  A proof of the queueing formula: L=λW , 2001 .

[20]  Shirish S. Joshi,et al.  An improved response surface methodology algorithm with an application to traffic signal optimization for urban networks , 1995, WSC '95.

[21]  John D. C. Little,et al.  OR FORUM - Little's Law as Viewed on Its 50th Anniversary , 2011, Oper. Res..

[22]  Montasir M Abbas,et al.  Multiobjective Plan Selection Optimization for Traffic Responsive Control , 2006 .

[23]  Richard F. Hartl,et al.  Simulation and optimization of supply chains: alternative or complementary approaches? , 2009, OR Spectr..

[24]  D C LittleJohn A Proof for the Queuing Formula , 1961 .

[25]  Xiao Chen,et al.  Simulation-based Adaptive Traffic Signal Control Algorithm , 2015 .

[26]  J. S ndergaard,et al.  Optimization Using Surrogate Models-by the Space Mapping Technique , 2003 .

[27]  C. Osorio,et al.  A SIMULATION-BASED APPROACH TO RELIABLE SIGNAL CONTROL , 2012 .

[28]  Xiao Chen Traffic Signal Control in Congested Urban Networks: Simulation-based Optimization Approach , 2014 .

[29]  Ajay K. Rathi,et al.  EFFECTIVENESS OF TRAFFIC RESTRAINT FOR A CONGESTED URBAN NETWORK: A SIMULATION STUDY , 1989 .

[30]  K. Marti Stochastic Optimization Methods , 2005 .

[31]  Christine A. Shoemaker,et al.  ORBIT: Optimization by Radial Basis Function Interpolation in Trust-Regions , 2008, SIAM J. Sci. Comput..

[32]  Jack P. C. Kleijnen,et al.  Constrained optimization in expensive simulation: Novel approach , 2010, Eur. J. Oper. Res..

[33]  Xiao Chen,et al.  Reducing Gridlock Probabilities via Simulation-based Signal Control , 2015 .

[34]  J. Branke,et al.  ACTUATED TRAFFIC SIGNAL OPTIMIZATION USING EVOLUTIONARY ALGORITHMS , 2007 .

[35]  Raghu Pasupathy,et al.  Simulation-Based Optimization of Maximum Green Setting under Retrospective Approximation Framework , 2010 .

[36]  Carolina Osorio,et al.  Urban transportation emissions mitigation: Coupling high-resolution vehicular emissions and traffic models for traffic signal optimization , 2015 .

[37]  Michel Bierlaire,et al.  Dynamic network loading: a stochastic differentiable model that derives link state distributions , 2011 .

[38]  Thomas F. Coleman,et al.  On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds , 1994, Math. Program..

[39]  T. Coleman,et al.  On the Convergence of Reflective Newton Methods for Large-scale Nonlinear Minimization Subject to Bounds , 1992 .

[40]  Ieee Xplore,et al.  IEEE Transactions on Pattern Analysis and Machine Intelligence Information for Authors , 2022, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[41]  Michel Bierlaire,et al.  An analytic finite capacity queueing network model capturing the propagation of congestion and blocking , 2009, Eur. J. Oper. Res..

[42]  Fred W. Glover,et al.  Simulation optimization: a review, new developments, and applications , 2005, Proceedings of the Winter Simulation Conference, 2005..

[43]  Byungkyu Brian Park,et al.  Application of Stochastic Optimization Method for an Urban Corridor , 2006, Proceedings of the 2006 Winter Simulation Conference.

[44]  Ilsoo Yun,et al.  Stochastic Optimization for Sustainable Traffic Signal Control , 2009 .

[45]  Katya Scheinberg,et al.  Global Convergence of General Derivative-Free Trust-Region Algorithms to First- and Second-Order Critical Points , 2009, SIAM J. Optim..

[46]  Zhen Li,et al.  HARDWARE-IN-THE-LOOP SIMULATION , 2004 .

[47]  Peter T. Martin,et al.  Stochastic optimization of traffic control and transit priority settings in VISSIM , 2008 .

[48]  David Simchi-Levi,et al.  Introduction to "Little's Law as Viewed on Its 50th Anniversary" , 2011, Oper. Res..

[49]  Masroor Hasan,et al.  Evaluation of ramp control algorithms using a microscopic traffic simulation laboratory, MITSIM , 1999 .

[50]  Moshe Ben-Akiva,et al.  Evaluation of ramp control algorithms using microscopic traffic simulation , 2002 .

[51]  Carolina Osorio Pizano Mitigating Network Congestion: Analytical Models, Optimization Methods and their Applications , 2010 .

[52]  OsorioCarolina,et al.  A Computationally Efficient Simulation-Based Optimization Algorithm for Large-Scale Urban Transportation Problems , 2015 .

[53]  Markos Papageorgiou,et al.  Applications of the urban traffic control strategy TUC , 2006, Eur. J. Oper. Res..

[54]  Gunnar Flötteröd,et al.  Capturing Dependency Among Link Boundaries in a Stochastic Dynamic Network Loading Model , 2015, Transp. Sci..

[55]  Thomas F. Coleman,et al.  An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds , 1993, SIAM J. Optim..

[56]  A. Rathi,et al.  An improved response surface methodology algorithm with an application to traffic signal optimization for urban networks , 1995, Winter Simulation Conference Proceedings, 1995..

[57]  J. Little A Proof for the Queuing Formula: L = λW , 1961 .

[58]  Markos Papageorgiou,et al.  A rolling-horizon quadratic-programming approach to the signal control problem in large-scale congested urban road networks , 2008 .

[59]  Haris N. Koutsopoulos,et al.  Calibration and Validation of Microscopic Traffic Simulation Tools: Stockholm Case Study , 2003 .

[60]  F. Webster TRAFFIC SIGNAL SETTINGS , 1958 .

[61]  M. Papageorgiou,et al.  Control and Optimization Methods for Traffic Signal Control in Large-scale Congested Urban Road Networks , 2007, 2007 American Control Conference.

[62]  S. Chand,et al.  Adaptive traffic signal control using fuzzy logic , 1993, [Proceedings 1993] Second IEEE International Conference on Fuzzy Systems.

[63]  G. Reklaitis,et al.  A simulation based optimization approach to supply chain management under demand uncertainty , 2004, Comput. Chem. Eng..

[64]  Larry E. Owen,et al.  Evaluating adaptive signal control using CORSIM , 1998, 1998 Winter Simulation Conference. Proceedings (Cat. No.98CH36274).

[65]  Ennio Cascetta,et al.  Dynamic Estimators of Origin-Destination Matrices Using Traffic Counts , 1993, Transp. Sci..

[66]  Carolina Osorio,et al.  Energy-Efficient Urban Traffic Management: A Microscopic Simulation-Based Approach , 2015, Transp. Sci..

[67]  Faouzi Masmoudi,et al.  A comprehensive literature classification of simulation optimisation methods , 2010 .

[68]  Rosaldo J. F. Rossetti,et al.  Short-term real-time traffic prediction methods: A survey , 2015, 2015 International Conference on Models and Technologies for Intelligent Transportation Systems (MT-ITS).

[69]  Nathan H. Gartner,et al.  COMPARATIVE EVALUATION OF ALTERNATIVE TRAFFIC CONTROL STRATEGIES , 1992 .

[70]  Keith A Riniker,et al.  City of Winchester, VA Traffic Signal Upgrade Project , 2009 .

[71]  Michel Bierlaire,et al.  A surrogate model for traffic optimization of congested networks: an analytic queueing network approach , 2009 .

[72]  Gunnar Flötteröd,et al.  Efficient calibration techniques for large-scale traffic simulators , 2017 .