The formulation of a system dynamics model for the dynamic traffic routing (DTR) problem is addressed, specifically for the application of real-time feedback control. Also addressed is the design of fuzzy feedback control laws for this problem. Fuzzy feedback control is suitable for solving the DTR problem, which is nonlinear and time varying and contains uncertainties. To illustrate the applicability of fuzzy logic in the design of feedback control for DTR, a simple software simulation was conducted that provided encouraging results.
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References
1.
OzbayK., HobeikaA. G., SubramaniamS., and KrishnaswamyV.. A Heuristic Network Generator for Traffic Diversion During Non-Recurrent Congestion. Presented at 73rd Annual Meeting of the Transportation Research Board, Washington, D.C., 1994.
2.
HobeikaA. G., SivanandanR., SubramaniamS., and OzbayK.. RealTime Traffic Diversion Model: Conceptual Approach. Journal of Transportation Engineering, Vol. 119, No. 4, July–Aug. 1993, pp. 515–534.
3.
PapageorgiouM., and MessmerA.. Dynamic Network Traffic Assignment and Route Guidance via Feedback Regulation. In Transportation Research Record 1306, TRB, National Research Council, Washington, D.C., 1991, pp. 49–58.
4.
PapageorgiouM.Dynamic Modeling, Assignment and Route Guidance Traffic Networks. Transportation Research B, Vol. 24B, No. 6, 1990, pp. 471–495.
5.
MessmerA., and PapageorgiouM.. Route Diversion Control in Motorway Networks via Nonlinear Optimization. IEEE Transactions on Control Systems Technology, Vol. 3, No. 1, March 1995.
6.
MessmerA., and PapageorgiouM.. Optimal Freeway Network Control via Route Recommendation. Proc., Vehicle Navigation and Information Systems Conference, 1994.
7.
GuptaA., MaslankaV., and SpringG.. Development of a Prototype KBES in the Management of Non-Recurrent Congestion on the Massachusetts Turnpike. Presented at 71st Annual Meeting of the Transportation Research Board, Washington D.C., 1992.
8.
GartnerN. H., and ReissR. A.. Congestion Control in Freeway Corridors: The IMIS System. Flow Control of Congested Networks. NATO ASI Series, Vol. F38. Springer-Verlag, 1987.
9.
BergerC. R., GordonR. L., and YoungP. E.. Single Point Diversion of Freeway Traffic. In Transportation Research Record 601, TRB, National Research Council, Washington, D.C., 1976, pp. 10–17.
10.
KetselidouZ.Potential Use of Knowledge-Based Expert System for Freeway Incident Management. Ph.D. dissertation. University of Massachusetts, Amherst, 1989.
11.
KuoB. C.Automatic Control Systems.Prentice Hall, 1987.
12.
PhillipsC. L., and HarborR. D.. Feedback Control Systems.Prentice Hall, 1988.
13.
PapageorgiouM.Applications of Automatic Control Concepts to Traffic Modeling and Control.Springer-Verlag, 1983.
14.
ZadehL. A.Fuzzy Sets. Information Control, Vol. 8, No. 3, 1965, pp. 338–353.
15.
ZadehL. A.The Role of Fuzzy Logic in the Management of Uncertainty in Expert Systems. Fuzzy Sets and Systems, Vol. 11, 1985, pp. 199–227.
16.
ZadehL. A.The Concept of Linguistic Variable and Its Application to Approximate Reasoning—I, II, III. Information Sciences, Vol. 8, 1975, 199–249; 301–357; Vol. 9, 1975, pp. 43-80.
17.
MamdaniE. H.Advances in the Linguistic Synthesis of Fuzzy Controls. International Journal of Man-Machine Studies, Vol. 8, 1976, pp. 678–699.
18.
MamdaniE. H., OstergaardJ. J., and LembessisE.. Use of Fuzzy Logic for Implementing Rule-Based Control of Industrial Processes. In Advances in Fuzzy Sets Possibility Theory and Application (WangP. P., and ChangS. K., eds.), Plenum, New York, 1983.
19.
KickertW. J. M., and Van Nauta LemkeH. R.. Application of a Fuzzy Controller in a Warm Water Plant. Automatica, Vol. 12, 1976, pp. 301–308.
20.
JainP., and RegeA.. Survey of U.S. Applications of Fuzzy Logic: Hardware, Controls, Expert Systems, Patent Recognition, and Others.Agogino Engineering, Oakland, Calif., 1987.
21.
LotanT., and KoutsopoulosH. N.. Fuzzy Control and Approximate Reasoning Models for Route Choice in the Presence of Information. Presented at 72nd Annual Meeting of the Transportation Research Board, Washington, D.C., 1993.
22.
LotanT., and KoutsopoulosH. N.. Approximate Reasoning Models for Route Choice in the Presence of Information: Transportation and Traffic Theory. Proc., 12th International Symposium on the Theory of Traffic Flow and Transportation, Berkeley, Calif., 1993.
23.
SasakiT, and AkiyamaT.. Traffic Control Process of Expressway by Fuzzy Logic. Fuzzy Sets and Systems, Vol. 26, 1988, pp. 165–178.
24.
ChenL. C., MayA. D., and AuslanderD. M.. Freeway Ramp Control Using Fuzzy Set Theory for Inexact Reasoning. Transportation Research A, Vol. 24A, No. 1, 1990, pp. 15–25.
25.
MendelJ. M.Fuzzy Logic Systems for Engineering: A Tutorial. Proceedings of the IEEE, Vol. 83, No. 3, March 1995.
26.
NijmeijerH., and van der SchaftA.. Nonlinear Dynamical Control Systems.Springer-Verlag, 1990.
27.
IsidoriA.Nonlinear Control Systems.Springer-Verlag, 1989.
28.
SlotineJ. J. E., and LiW.Applied Nonlinear Control.Prentice Hall, 1991.
