Optimization of Area Traffic Control for Equilibrium Network Flows
Published Online:1 Aug 1999https://doi.org/10.1287/trsc.33.3.279
References
- Traffic in a signal-Controlled road network: An example of different signal timings inducing different routeings. Traffic Engrg. Control (1977) 18 262 264 Google Scholar
- , Griffths J. D. Evolving application of mathematical optimisation in design and operation of individual signal-controlled road junctions. Mathematics in Transport Planning and Control (1992) (Oxford University Press, Oxford, UK) 1 25 Google Scholar
- Nonlinear Programming Theory and Algorithms (1993) (John Wiley and Sons, New York) Google Scholar
- Derivatives in an area traffic control problem subject to user equilibrium traffic assignment. Universities Transport Stud. Group 29th Annual Conf. (1997a) Bournemouth University Poole, UK January 1997 . Unpublished Google Scholar
- Optimisation of area traffic control subject to user equilibrium traffic assignment. 25th Eur. Transport Forum, Proc. Seminar F, Transportation Planning Methods (1997b) II PTRC London 53 64 Google Scholar
- , Rysgaard R. Optimisation of traffic signal timings for user equilibrium flow. Proc. Third TRB Internat. Sympos. Highway Capacity (1998a) I Danish Road Directorate Copenhagen 321 326 Google Scholar
- , Griffths J. D. Bi-level formulation for equilibrium traffic flow and signal settings. Mathematics in Transportation Planning and Control (1998b) (Elsevier Science, Amsterdam) 59 68 Crossref, Google Scholar
- Traffic equilibrium and variational inequalities. Transportation Sci. (1980) 14 42 54 Link, Google Scholar
- A note on traffic assignment and signal timings in a signal-controlled road network. Transportation Res. (1981) 15B 267 271 Crossref, Google Scholar
- Sensitivity analysis based heuristic algorithms for mathematical programs with variational inequality constraints. Math. Program. (1990) 48 265 284 Crossref, Google Scholar
- Hybrid optimisation: Optimal static traffic control constrained by drivers' route choice behaviour. (1979) . Massachusetts Institute of Technology, laboratory for Information and Decision System Report LIDS-p-870 Google Scholar
- The equilibrium network design problem. Proc. AIRO'90 Conf. Models and Methods for Decision Support (1990) Sorrento Italy 587 602 Google Scholar
- Linear and Nonlinear Programming (1989) (Addison-Wesley, Massachusetts) 330 337 Google Scholar
- The existence, uniqueness and stability of traffic equilibria. Transportation Res. (1979) 13B 295 304 Crossref, Google Scholar
- Sensitivity analysis for equilibrium network flow. Transportation Sci. (1988) 22 242 250 Link, Google Scholar
- User Guide to TRANSYT Version 8, TRRL Report (1980) (LR888, Transport and Road Research Laboratory, Crowthorne, UK) Google Scholar
- Derivatives of the performance index for the traffic model from TRANSYT. Transportation Res. (1995) 29B 303 327 Crossref, Google Scholar
- Traffic assignment and signal control in saturated road networks. Transportation Res. (1995) 29A 125 139 Google Scholar
- Sensitivity analysis for the elastic-demand network equilibrium problem with applications. Transportation Res. (1997) 31B 55 70 Crossref, Google Scholar

