References
- Astarita, V. (1995), "Flow propagation description in dynamic network loading models" In: Proceedings of IV International Conference on Application of Advanced Technologies in Transportation Engineering (AATT), American Society of Civil Engineers, pp.599∼603.
- Astarita, V. (1996), "A continuous time link model for dynamic network loading based on travel time function" In: Lesort, J.-B. (Ed.), Transportation and Traffic Theory, Elsevier, Oxford, pp.79∼102.
- Carey, M., Ge, Y.E.and McCartney, M. (2003), "A whole-link travel-time model with desirable properties" Transportation science, Vol. 37 No. 1, pp.83-96. https://doi.org/10.1287/trsc.37.1.83.12819
- Carey, M. and McCartney, M. (2002), "Behaviour of a whole-the link travel time model used in dynamic traffic assignment" Transportation Research B, Vol. 36, pp.83-95. https://doi.org/10.1016/S0191-2615(00)00039-4
- Daganzo, C.F. (1995), "Properties of link travel time functions under dynamic loads" Transportation Research B, Vol. 29, pp.95-98. https://doi.org/10.1016/0191-2615(94)00026-V
- Friesz, T.L., Bernstein, D., Smith, T.E., Tobin, R.L. and Wie, B.W. (1993), "A variational inequality formulation of the dynamic network user equilibrium problem" Operations Research, Vol. 41, No. 1, pp.179-191. https://doi.org/10.1287/opre.41.1.179
- Lighthill, M.J. and Whitham, G.B. (1955), "On kinematic waves: II. A theory of traffic flow on long crowded roads" Proceedings of the Royal Society, A 229, pp.281-345.
- Newell, G.F. (1993), "A simplified theory of kinematic waves in highway traffic, part I: General theory" Transportation Research B, Vol. 27, pp.281-287. https://doi.org/10.1016/0191-2615(93)90038-C
- Newell, G.F. (1993), "A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks" Transportation Research B, Vol. 27, pp.289-303. https://doi.org/10.1016/0191-2615(93)90039-D
- Newell, G.F. (1993), "A simplified theory of kinematic waves in highway traffic, part III: Multi-destination flows" Transportation Research B, Vol. 27, pp.305-313. https://doi.org/10.1016/0191-2615(93)90040-H
- Ran, B., Boyce, D.E. and LeBlanc, L.J. (1993), "A new class of instantaneous dynamic user-optimal traffic assignment models" Operation Research, Vol. 41, pp.192-202. https://doi.org/10.1287/opre.41.1.192
- Richards, P.I. (1956), "Shockwaves on the highway" Operation Research, Vol. 4, pp.42-51. https://doi.org/10.1287/opre.4.1.42
- Transportation Research Board. (2000), "Highway Capacity Manual" National Research Council, Washington, D.C.
- Wu, J.H., Chen, Y. and Florian, M. (1998), "The continuous dynamic network loading problem: a mathematical formulation and solution method" Transportation Research B, Vol. 32, pp.173-187. https://doi.org/10.1016/S0191-2615(97)00023-4
- Xu, Y.W. and Wu, J.H., Florian, M., Marcotte, P., Zhu, D.L. (1999), "Advances in the continuous dynamic network loading problem" Transportation Science, Vol. 33, No. 4, pp.341-353. https://doi.org/10.1287/trsc.33.4.341
- Zhu, D. and Marcotte, P. (2000), "On the existence of solutions to the dynamic user equilibrium problem" Transportation Science, Vol. 34, No. 4, pp.402-414. https://doi.org/10.1287/trsc.34.4.402.12322