Michael's Home Page: Traffic Research

In 2006, I got the copyrights back to my first book, The Traffic Assignment Problem---Models and Methods. The original 1994 version of the book is now under revision for the possible publication of a second edition. If you in the mean time wish to obtain and use the original 1994 version, please send me an e-mail (mipat@chalmers.se) In the mean time, feel free to provide me with new references to include, pointers to errors beside those in the below errata list, and any further comments.

Monograph:

• The complete monograph The Traffic Assignment Problem---Models and Methods (Topics in Transportation, VSP, 1994 ): PDF format (currently not available---see above)
• Errata list for The Traffic Assignment Problem---Models and Methods: PDF format

Reports:

Surveys:

• Traffic equilibrium [with P. Marcotte] (in Transportation, volume 14 in the series Handbooks in Operations Research and Management Science, C. Barnhart and G. Laporte (eds.), North-Holland, Amsterdam, 2007, 623-713) PS format

• Algorithms for computing traffic equilibria (Networks & Spatial Economics, 4 (2004) 23-38) PS format

  Reports on Traffic Modelling Issues:

• On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs with equilibrium constraints (Transportation Research, B 42 (2008) 843-860) PS format or PDF format

• Robust bilevel optimization models in transportation science (Philosophical Transactions of the Royal Society, A: Mathematical, Physical & Engineering Sciences 366 (2008) 1989-2004) PS format or PDF format

• On the Applicability of Sensitivity Analysis Formulas for Traffic Equilibrium Models [with M. Josefsson] PS format or PDF format

• Sensitivity Analysis of Separable Traffic Equilibria, with Application to Bilevel Optimization in Network Design [with M. Josefsson] (Transportation Research, B 41 (2007) 4-31) PS format or PDF format

• Sensitivity Analysis of Traffic Equilibria (Transportation Science 38 (2004) 258-281) PS format or PDF format

• Variational Geometry and Equilibrium [with R. Tyrrell Rockafellar] (in Equilibrium Problems and Variational Models, Proceedings of the International School of Mathematics ``G. Stampacchia'' 32th Workshop, held June 23-July 2, 2000, in Erice, Kluwer Academic Publishers, Norwell, MA, 2003, pp. 347-368): DVI or PS format; ABSTRACT

• Sensitivity Analysis of Variational Inequalities over Aggregated Polyhedra, with Application to Traffic Equilibria [with R. Tyrrell Rockafellar] (Transportation Science 37 (2003) 56-68) DVI, PDF or PS format; ABSTRACT

• A Bilevel Optimization Model and Descent Algorithm for Traffic Management [with R. Tyrrell Rockafellar] (Transportation Science 36 (2002) 271-291): DVI, PDF format; PS format; ABSTRACT

• On Traffic Equilibrium Models with a Nonlinear Time/Money Relation [with Torbjörn Larsson, P.-O. Lindberg, Jan Lundgren, and Clas Rydergren] (in Transportation Planning-State of the Art, M. Patriksson and M. Labbe (eds.), Kluwer Academic Publishers, 2002, pp. 19-31): PS format

• Most Likely Traffic Equilibrium Route Flows---Analysis and Computation [with Torbjörn Larsson, Jan Lundgren and Clas Rydergren] (in Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models, F. Giannessi, A. Maugeri, and P.M. Pardalos (eds.), Kluwer Academic Publishers, 2001, pp. 129-159): PS format; ABSTRACT

• Side Constrained Traffic Equilibrium Models---Analysis, Computation and Applications [with Torbjörn Larsson] (Transportation Research, 33B (1999) 233-264): DVI or PS or PDF format; ABSTRACT

• The combined distribution and stochastic assignment problem [with Jan T. Lundgren] (Annals of Operations Research, 82 (1998) 309-329): DVI or PS format; ABSTRACT

• Side Constrained Traffic Equilibrium Models---Traffic Management Through Link Tolls [with Torbjörn Larsson] (Chapter 7 in Equilibrium and Advanced Transportation Modelling, P. Marcotte and S. Nguyen (eds.), Kluwer Academic Publishers, Boston, MA, 1998, pp. 125-151): DVI or PS format; ABSTRACT

• Price-directive Traffic Management---Applications of Side Constrained Traffic Equilibrium Models [with Torbjörn Larsson] (in Transportation Networks: Recent Methodological Advances, M.G.H. Bell (ed.), Pergamon Press, Amsterdam, 1998, pp. 83-97): DVI or PS format; ABSTRACT

• Traffic Management Through Link Tolls---An Approach Utilizing Side Constrained Traffic Equilibrium Models [with Torbjörn Larsson] (Rendiconti del Circolo Matematico di Palermo, Serie II 48 (1997) 147-170): DVI or PS format; ABSTRACT

• Equilibrium Characterizations of Solutions to Side Constrained Asymmetric Traffic Assignment Models [with Torbjörn Larsson] (Proceedings of the 3rd Meeting of the EURO Working Group on Transportation, Universitat Politecnica de Catalunya, Barcelona, Spain, September 27-29, 1995, J. Barcelo (ed.), Institut Catala d'Estudis del Transport, 1995, pp. 143-164): DVI or PS format

• Equilibrium Characterizations of Solutions to Side Constrained Asymmetric Traffic Assignment Models [with Torbjörn Larsson] (Le Matematiche, 49 (1994) 249-280): DVI or PS format; ABSTRACT

• On Side Constrained Models of Traffic Equilibria [with Torbjörn Larsson] (in Variational Inequalities and Network Equilibrium Problems, Proceedings of the International School of Mathematics ``G. Stampacchia'' 19th Course on Variational Inequalities and Network Equilibrium Problems, held June 19-25, 1994, in Erice, Italy, F. Giannessi and A. Maugeri (eds.), Plenum Press, New York, NY, 1995, pp. 169-178): DVI or PS format

  Reports on Algorithmic Issues:

• Inverse Nonlinear Multicommodity Flow Optimization by Column Generation [with Torbjörn Larsson and Clas Rydergren] (Optimization Methods and Software 18 (2003) 601-613):

• A Column Generation Procedure for the Side Constrained Traffic Equilibrium Problem [with Torbjörn Larsson and Clas Rydergren] (in Transportation Research, B 38 (2004) 17-38): PDF format

• Outline to a Decision Support Tool for Traffic Management [with Torbjörn Larsson, Jan Lundgren, and Clas Rydergren] (in Urban Transport Systems, Proceedings of the 2nd KFB Research Conference, Lund Institute of Technology, June 7-8, 1999): PDF format

• A Dual Scheme for Traffic Assignment Problems [with Torbjörn Larsson and Zhuang-Wei Liu] (Optimization 42 (1997) 323-358): PS format; ABSTRACT

• An Algorithm for the Combined Distribution and Assignment Problem [with Jan Lundgren] (in Transportation Networks: Recent Methodological Advances, M.G.H. Bell (ed.), Pergamon Press, Amsterdam, 1998, pp. 239-253): PS format; ABSTRACT

• An Algorithm for the Stochastic User Equilibrium Problem [with Olof Damberg and Jan Lundgren] (Transportation Research, B, 30 (1996) 115-131): PS format; ABSTRACT

• An Augmented Lagrangean Dual Algorithm for Link Capacity Side Constrained Traffic Assignment Problems [with Torbjörn Larsson] (Transportation Research, B, 29 (1995) 433-455): PS format; ABSTRACT

• An Augmented Lagrangean Scheme for Capacitated Traffic Assignment Problems [with Torbjörn Larsson] (in Proceedings of the 2nd Meeting of the EURO Working Group on Urban Traffic and Transportation, Paris, France, September 15-17, 1993, F. Boillot, N. Bhouri and F. Leurent (eds.), Actes INRETS no. 38, INRETS, Arcueil, France, 1994, pp. 163-199): PS format

• A Unified Description of Iterative Algorithms for Traffic Equilibria (European Journal of Operational Research, 71 (1993) 154-176): DVI or PS format; ABSTRACT

• A Partial Linearization Algorithm for the Traffic Assignment Problem [with Torbjörn Larsson and Athanasios Migdalas] (Optimization, 28 (1993) 47-61): DVI or PS format; ABSTRACT

• Simplicial Decomposition with Disaggregated Representation For the Traffic Assignment Problem [with Torbjörn Larsson] (Transportation Science, 26 (1992) 4-17): DVI or PS format; ABSTRACT