Calibrating Steady-State Traffic Stream and Car-Following Models Using Loop Detector Data

References

• Adams W. P., Sherali H. D. Linearization strategies for a class of zero-one mixed integer programming problems. Oper. Res. (1990) 38(2):217–226Link, Google Scholar
• Bazaraa M., Sherali H. D., Shetty C.Nonlinear Programming Theory and Algorithms (1993) 2nd ed.(John Wiley and Sons, New York) Google Scholar
• Demarchi S. H. A new formulation for Van Aerde's speed-flow-density relationship (in Portuguese). XVI Congresso De Pequisa e Ensino em Transportes (2002) (Natal, RN, Brazil) Google Scholar
• Draper N., Smith H.Applied Regression Analysis (1980) 2nd ed.(John Wiley and Sons, New York) Google Scholar
• Emery W. J., Thomson R. E.Data Analysis Methods in Physical Oceanography: Second and Revised Edition (2001) 2nd ed.(Elsevier, Amsterdam) Google Scholar
• Greenshields B. D. A study of traffic capacity. Proc. Highway Res. Board (1934) 14:448–477Google Scholar
• Kerner B. S. The physics of traffic. Understanding Complex Systems (2004) (Springer-Verlag, Berlin) Google Scholar
• Lee Y., Sherali H. D., Kwon I., Kim S. A new reformulation approach for the generalized partial covering problem. Naval Res. Logist. (2006) 53(2):170–179Crossref, Google Scholar
• Lighthill M. J., Witham G. B. On kinematic waves. Proc. Roy. Soc. London Ser. A. (1955) A229:281–345Google Scholar
• May A. D.Traffic Flow Fundamentals (1990) (Prentice-Hall, Englewood Cliffs, NJ) 292, 300, 303Google Scholar
• Murtagh B., Saunders M. A.MINOS 5.5 User's Guide (1998) (Stanford University, Stanford, CA) Google Scholar
• Newell G. F. Nonlinear effects in the dynamics of car following. Oper. Res. (1961) 9(2):209–229Link, Google Scholar
• Rakha H. A. Validation of van Aerde's simplified steady-state car-following and traffic stream model. Proc. 85th Transportation Res. Board Annual Meeting (2006) (Transportation Research Board, Washington, DC) Google Scholar
• Rakha H., Crowther B. Comparison of Greenshields, Pipes, and Van Aerde car-following and traffic stream models. Transportation Res. Record (2002) 1802):248–262Crossref, Google Scholar
• Rakha H., Pecker C. C., Cybis H. B. B. Calibration procedure for the Gipps' car-following model. Proc. 86th Transportation Res. Board Annual Meeting (2007) (Transportation Research Board, Washington, DC) Crossref, Google Scholar
• Richards P. I. Shock waves on the highway. Oper. Res. (1956) 4(1):42–51Link, Google Scholar
• Sahinidis N.BARON User's Manual Version 4.0 (2000) (University of Illinois at Urbana-Champaign, Urbana) Google Scholar
• Sherali H. D., Desai J. A global optimization RLT-based approach for solving the fuzzy clustering problem. J. Global Optim. (2005) 33(4):597–615Crossref, Google Scholar
• Van Aerde M. Single regime speed-flow-density relationship for congested and uncongested highways. Proc. 74th TRB Annual Conf., Paper 950802 (1995) (Washington DC)Google Scholar
• Van Aerde M., Rakha H. Multivariate calibration of single regime speed-flow-density relationships. Proc. 6th Internat. Vehicle Navigation Inform. Systems Conf. (1995) (IEEE, Piscataway, NJ) Google Scholar