Combined signal setting design and traffic assignment problem
The paper provides a comprehensive discussion about the global signal settings problem, subject to the user equilibrium constraint for traffic flows. A new algorithm that applies the Armijo rule for step size estimation to usual projected gradient algorithm is presented and compared to other usual s...
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| Published in | European journal of operational research Vol. 155; no. 3; pp. 569 - 583 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier B.V
16.06.2004
Elsevier Elsevier Sequoia S.A |
| Series | European Journal of Operational Research |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0377-2217 1872-6860 |
| DOI | 10.1016/j.ejor.2003.08.006 |
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| Abstract | The paper provides a comprehensive discussion about the global signal settings problem, subject to the user equilibrium constraint for traffic flows. A new algorithm that applies the Armijo rule for step size estimation to usual projected gradient algorithm is presented and compared to other usual solution procedures. Moreover, numerical experiments are performed on a test network in order to investigate the shape of the objective function and then obtain further information about mathematical properties of the problem. Issues concerning multiplicity of solutions, algorithm convergence, and sensitivity to demand patterns are also discussed. |
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| AbstractList | The paper provides a comprehensive discussion about the global signal settings problem, subject to the user equilibrium constraint for traffic flows. A new algorithm that applies the Armijo rule for step size estimation to usual projected gradient algorithm is presented and compared to other usual solution procedures. Moreover, numerical experiments are performed on a test network in order to investigate the shape of the objective function and then obtain further information about mathematical properties of the problem. Issues concerning multiplicity of solutions, algorithm convergence, and sensitivity to demand patterns are also discussed. The paper provides a comprehensive discussion about the global signal settings problem, subject to the user equilibrium constraint for traffic flows. A new algorithm that applies the Armijo rule for step size estimation to usual projected gradient algorithm is presented and compared to other usual solution procedures. Moreover, numerical experiments are performed on a test network in order to investigate the shape of the objective function and then obtain further information about mathematical properties of the problem. Issues concerning multiplicity of solutions, algorithm convergence, and sensitivity to demand patterns are also discussed. [PUBLICATION ABSTRACT] |
| Author | Fusco, Gaetano Cipriani, Ernesto |
| Author_xml | – sequence: 1 givenname: Ernesto surname: Cipriani fullname: Cipriani, Ernesto email: eciprian@uniroma3.it organization: Università “Roma Tre”, Dept. Science of Civil Engineering, Via Volterra 62, 00146, Rome, Italy – sequence: 2 givenname: Gaetano surname: Fusco fullname: Fusco, Gaetano email: gaetano.fusco@uniroma1.it organization: Università di Roma “La Sapienza”, Dip.to Idraulica, Trasporti e Strade, Via Eudosstana 18, 00184, Rome, Italy |
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| Cites_doi | 10.1016/0191-2607(91)90141-C 10.1287/trsc.18.1.1 10.1061/(ASCE)0733-947X(1983)109:6(824) 10.1287/trsc.17.2.181 10.1016/0191-2615(79)90021-3 10.1061/40630(255)116 10.1061/40503(277)95 10.1016/0191-2615(79)90022-5 10.1287/trsc.27.2.118 10.1002/net.3230170307 10.3141/1683-13 10.1016/0191-2615(95)00011-2 |
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| Keywords | Signal control Traffic assignment Global optimization |
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| References_xml | – reference: Gartner, N.H., 1977. Analysis and control of transportation networks by Frank–Wolfe decomposition. In: Proceedings of the 7th International Symposium on Transportation and Traffic Theory, Kyoto, 1977 – reference: Webster, 1958. Traffic signal settings. Road research technical paper no. 39, HMSO, London – volume: 29A start-page: 125 year: 1995 end-page: 139 ident: BIB26 article-title: Traffic assignment and signal control in saturated road networks publication-title: Transportation Research – reference: Lee, C., Machemehl, R., 1999. Local and iterative search for the combined signal control and assignment problem: Implementation and numerical examples. In: 78th Transportation Research Board Meeting, Washington, January 1999 – reference: Pavese, O., 1968. La funzione delle intersezioni in un modello di assegnazione del traffico a reti stradali. Segnalazioni stradali, n. 34, marzo-aprile 1968 – start-page: 274 year: 1974 end-page: 297 ident: BIB12 article-title: Area traffic control and network equilibrium publication-title: Proceedings of International Symposium on Traffic Equilibrium Methods – volume: 17 start-page: 118 year: 1993 end-page: 132 ident: BIB24 article-title: Traffic equilibrium with responsive traffic control publication-title: Transportation Science – volume: 18 start-page: 262 year: 1977 end-page: 264 ident: BIB2 article-title: Traffic in a signal controlled road network: An example of different signal timings inducing different routing publication-title: Traffic Engineering and Control – volume: 29B start-page: 329 year: 1995 end-page: 356 ident: BIB18 article-title: An equilibrium route choice model with explicit treatment of the effect of intersections publication-title: Transportation Research – year: 1995 ident: BIB3 article-title: Nonlinear Programming – volume: 109 start-page: 824 year: 1983 end-page: 839 ident: BIB20 article-title: Optimal signal setting over transportation networks publication-title: Journal of Transportation Engineering – start-page: 586 year: 1999 end-page: 589 ident: BIB28 article-title: Equilibrium networks: Practical schemes for signal optimisation publication-title: Traffic Engineering and Control – start-page: 298 year: 1980 end-page: 302 ident: BIB23 article-title: A local traffic control policy which automatically maximises the overall travel capacity of an urban road network publication-title: Traffic Engineering and Control – start-page: 366 year: 1991 end-page: 371 ident: BIB4 article-title: Road network signal setting: equilibrium conditions publication-title: Concise Encyclopedia of Traffic and Transportation Systems – reference: Cipriani, E., Fusco, G., 2002. Solution procedures for the global optimization of signal settings and traffic assignment combined problem. In: Proceeding of the 3rd ICTTS Conference, Guilin, China, July 23–25, 2002 – reference: Cipriani, E., Gori, S., 2000. Signal control and assignment joint models. In: Proceedings of the 2nd ICTTS Conference, Beijing, China, 30 July-1 August, 2000 – start-page: 345 year: 1974 end-page: 373 ident: BIB1 article-title: Some possibilities for using traffic control to influence trip distribution and route choice publication-title: Proceedings of the 6th International Symposium on Transportation and Traffic Theory – volume: 17 start-page: 181 year: 1983 end-page: 197 ident: BIB17 article-title: Network optimization with continuous control parameters publication-title: Transportation Science – volume: 13B start-page: 289 year: 1979 end-page: 294 ident: BIB22 article-title: Traffic control and route choice; a simple example publication-title: Transportation Research – reference: Taale, H., van Zuylen, H.J., 2001. The combined traffic assignment and control problem––an overview of 25 years of research. In: 9th World Conference on Transport Research, Seoul, Chorea, July, 22–27 – reference: Lee, C., Machemehl, R., 1998. Genetic algorithm, local and iterative searches for combining traffic assignment and signal control. In: Proceedings of the Transportation and Traffic Studies, July 27–29, 1998, Beijing, People’s Republic of China, printed by American Society of Civil Engineers – volume: 13B start-page: 295 year: 1979 end-page: 304 ident: BIB21 article-title: The existence, uniqueness and stability of traffic equilibria publication-title: Transportation Research – volume: 24A start-page: 241 year: 1991 end-page: 249 ident: BIB5 article-title: An iterative procedure for equilibrium network traffic signal setting publication-title: Transportation Research – reference: Cipriani, E., Gori, S., 1999. Assegnazione in ambito urbano con funzioni di nodo: confronto tra le politiche di controllo, II Convegno annuale Metodi e Tecnologie dell’Ingegneria dei Trasporti, Reggio Calabria, Facoltà di Ingegneria, 15–17 dicembre 1999 – volume: 18 start-page: 1 year: 1984 end-page: 55 ident: BIB16 article-title: Network design and transportation planning: Models and algorithms publication-title: Transp. Sci. – reference: Cascetta, E., Gallo, M., Montella, B., 1998. Optimal signal setting on traffic networks with stochastic equilibrium assignment. In: Tristan III Conference, San Juan, Puerto Rico, June 17–23, 1998, vol. 2 – start-page: 123 year: 1995 end-page: 153 ident: BIB6 article-title: Network design models and methods for urban traffic management publication-title: Urban Traffic Networks–Dynamic Flow Modeling and Control – volume: 17 start-page: 319 year: 1987 end-page: 339 ident: BIB11 article-title: An efficient implementation of the “PARTAN” variant of the linear approximation method for the network equilibrium problem publication-title: Networks – volume: 24A start-page: 241 year: 1991 ident: 10.1016/j.ejor.2003.08.006_BIB5 article-title: An iterative procedure for equilibrium network traffic signal setting publication-title: Transportation Research doi: 10.1016/0191-2607(91)90141-C – volume: 18 start-page: 1 year: 1984 ident: 10.1016/j.ejor.2003.08.006_BIB16 article-title: Network design and transportation planning: Models and algorithms publication-title: Transp. 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| SubjectTerms | Algorithms Global optimization Operations research Optimization Signal control Studies Traffic assignment Traffic control |
| Title | Combined signal setting design and traffic assignment problem |
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