Global optimization method for network design problem with stochastic user equilibrium

[1]  R E Allsop.  SOME POSSIBILITIES FOR USING TRAFFIC CONTROL TO INFLUENCE TRIP DISTRIBUTION AND ROUTE CHOICE , 1974 .

[2]  Larry J. LeBlanc,et al.  An Algorithm for the Discrete Network Design Problem , 1975 .

[3]  Larry J. LeBlanc,et al.  CONTINUOUS EQUILIBRIUM NETWORK DESIGN MODELS , 1979 .

[4]  Michael Athans,et al.  HYBRID OPTIMIZATION IN URBAN TRAFFIC NETWORKS , 1979 .

[5]  Yosef Sheffi,et al.  Urban Transportation Networks: Equilibrium Analysis With Mathematical Programming Methods , 1985 .

[6]  Terry L. Friesz,et al.  Equilibrium Decomposed Optimization: A Heuristic for the Continuous Equilibrium Network Design Problem , 1987, Transp. Sci..

[7]  Terry L. Friesz,et al.  Sensitivity analysis based heuristic algorithms for mathematical programs with variational inequality constraints , 1990, Math. Program..

[8]  Terry L. Friesz,et al.  A Simulated Annealing Approach to the Network Design Problem with Variational Inequality Constraints , 1992, Transp. Sci..

[9]  Gary A. Davis,et al.  Exact local solution of the continuous network design problem via stochastic user equilibrium assignment , 1994 .

[10]  Hai Yang,et al.  Traffic assignment and signal control in saturated road networks , 1995 .

[11]  Hai Yang,et al.  Sensitivity analysis for the elastic-demand network equilibrium problem with applications , 1997 .

[12]  Hai Yang,et al.  Models and algorithms for road network design: a review and some new developments , 1998 .

[13]  Hai Yang,et al.  An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem , 2001 .

[14]  Johan Efberg,et al.  YALMIP : A toolbox for modeling and optimization in MATLAB , 2004 .

[15]  Johan Löfberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004 .

[16]  Suh-Wen Chiou,et al.  Bilevel programming for the continuous transport network design problem , 2005 .

[17]  Han-Lin Li,et al.  Global Optimization for Generalized Geometric Programs with Mixed Free-Sign Variables , 2009, Oper. Res..

[18]  Hong Kam Lo,et al.  Global Optimum of the Linearized Network Design Problem with Equilibrium Flows , 2010 .

[19]  George L. Nemhauser,et al.  Mixed-Integer Models for Nonseparable Piecewise-Linear Optimization: Unifying Framework and Extensions , 2010, Oper. Res..

[20]  H. Lo,et al.  Global optimization method for mixed transportation network design problem: A mixed-integer linear programming approach , 2011 .

[21]  Xiaoning Zhang,et al.  Enhancing transportation network capacity by congestion pricing with simultaneous toll location and toll level optimization , 2012 .

[22]  Hong Kam Lo,et al.  Optimizing toll locations and levels using a mixed integer linear approximation approach , 2012 .

[23]  Hai Yang,et al.  A global optimization method for continuous network design problems , 2012 .

[24]  W. Y. Szeto,et al.  Review on Urban Transportation Network Design Problems , 2013 .

[25]  Joseph Ying Jun Chow,et al.  On activity-based network design problems , 2013 .

[26]  Hai Yang,et al.  Global optimization methods for the discrete network design problem , 2013 .

[27]  Agachai Sumalee,et al.  Solving a mixed integer linear program approximation of the toll design problem using constraint generation within a branch-and-cut algorithm , 2014 .

[28]  Joseph Ying Jun Chow,et al.  Symbiotic network design strategies in the presence of coexisting transportation networks , 2014 .

[29]  S. Minner,et al.  Benders Decomposition for Discrete–Continuous Linear Bilevel Problems with application to traffic network design , 2014 .