A Linear Programming Model for the Single Destination System Optimum Dynamic Traffic Assignment Problem

References

• Daganzo C. F. The Cell Transmission Model: A Simple Dynamic Representation of Highway Traffic Consistent with the Hydrodynamic Theory. Transp. Res. (1994) 28B:269–287Crossref, Google Scholar
• Daganzo C. F. The Cell Transmission Model. II. Network Traffic. Transp. Res. (1995) 29B:79–93Crossref, Google Scholar
• Luenberger D.Linear and Nonlinear Programming (1984) (Addison-Wesley, Reading, MA) Google Scholar
• Lighthill M. J., Whitham J. B. On Kinematic Waves. I. Flow Modeling in Long Rivers. II. A Theory of Traffic Flow on Long Crowded Roads. Proc. Roy. Soc. A (1955) 229:281–345Crossref, Google Scholar
• Merchant D. K., Nemhauser G. L. A Model and an Algorithm for the Dynamic Traffic Assignment Problem. Transp. Sci. (1978a) 12:183–199Link, Google Scholar
• Merchant D. K., Nemhauser G. L. Optimality Conditions for a Dynamic Traffic Assignment Problem. Transp. Sci. (1978b) 12:200–207Link, Google Scholar
• Mahmassani H. S., Peeta S., Hu T. Y., Ziliaskopoulos A. K. Dynamic Traffic Assignment and Simulation Procedures for ATIS/ATMS Applications. (1993) . Technical report DTFH61-90-R-00074-FINAL, Center for Transportation Research, The University of Texas at Austin, TXGoogle Scholar
• Richards P. I. Shockwaves on the Highway. Opns. Res. (1956) 4:42–51Link, Google Scholar
• Peeta S. System Optimal Dynamic Traffic Assignment in Congested Networks with Advanced Information Systems. (1994) . Ph.D. thesis, University of Texas at Austin, Austin, TXGoogle Scholar
• Sheffi Y.Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods (1985) (Prentice Hall, Englewood Cliffs, NJ) Google Scholar
• Ziliaskopoulos A. K., Mahmassani H. S. Minimum Path Algorithms for Networks with General Time-Dependent Arc Costs. Opns. Res. (1996) . (2nd revision)Google Scholar
• Ziliaskopoulos A. K., Lee S. A Cell Transmission Based Assignment-Simulation Model for Integrated Freeway/Surface Street Systems. Transp. Res. Rec. (1997) . (to appear)Google Scholar