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Volumn 57, Issue , 2013, Pages 114-131

A kinematic wave approach to traffic statics and dynamics in a double-ring network

Author keywords

Asymptotically periodic states; Double ring network; Kinematic wave theory; Macroscopic fundamental diagram; Network junction model; Stationary states

Indexed keywords

KINEMATICS; MOTOR TRANSPORTATION; ROADS AND STREETS; TRAFFIC CONTROL; TRAFFIC SIGNALS; TRANSPORTATION;

EID: 84885202592     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2013.09.004     Document Type: Article
Times cited : (28)

References (43)
  • 1
    • 0025417832 scopus 로고
    • What does the entropy condition mean in traffic flow theory?
    • Ansorge R. What does the entropy condition mean in traffic flow theory?. Transportation Research Part B 1990, 24(2):133-143.
    • (1990) Transportation Research Part B , vol.24 , Issue.2 , pp. 133-143
    • Ansorge, R.1
  • 2
    • 0023288207 scopus 로고
    • Urban network-wide traffic variables and their relations
    • Ardekani S., Herman R. Urban network-wide traffic variables and their relations. Transportation Science 1987, 21(1):1-16.
    • (1987) Transportation Science , vol.21 , Issue.1 , pp. 1-16
    • Ardekani, S.1    Herman, R.2
  • 3
    • 0002938448 scopus 로고    scopus 로고
    • The semigroup approach to systems of conservation laws
    • Bressan A. The semigroup approach to systems of conservation laws. Matematica Contemporanea 1996, 10:21-74.
    • (1996) Matematica Contemporanea , vol.10 , pp. 21-74
    • Bressan, A.1
  • 4
  • 7
    • 0003908527 scopus 로고
    • Über die partiellen Differenzengleichungen der mathematischen Physik
    • Courant R., Friedrichs K., Lewy H. Über die partiellen Differenzengleichungen der mathematischen Physik. Mathematische Annalen 1928, 100(1):32-74.
    • (1928) Mathematische Annalen , vol.100 , Issue.1 , pp. 32-74
    • Courant, R.1    Friedrichs, K.2    Lewy, H.3
  • 8
    • 0028481056 scopus 로고
    • The cell transmission model: a dynamic representation of highway traffic consistent with hydrodynamic theory
    • Daganzo C.F. The cell transmission model: a dynamic representation of highway traffic consistent with hydrodynamic theory. Transportation Research Part B 1994, 28(4):269-287.
    • (1994) Transportation Research Part B , vol.28 , Issue.4 , pp. 269-287
    • Daganzo, C.F.1
  • 9
    • 0028803659 scopus 로고
    • The cell transmission model II: network traffic
    • Daganzo C.F. The cell transmission model II: network traffic. Transportation Research Part B 1995, 29(2):79-93.
    • (1995) Transportation Research Part B , vol.29 , Issue.2 , pp. 79-93
    • Daganzo, C.F.1
  • 10
    • 11144330902 scopus 로고    scopus 로고
    • A variational formulation of kinematic waves: basic theory and complex boundary conditions
    • Daganzo C.F. A variational formulation of kinematic waves: basic theory and complex boundary conditions. Transportation Research Part B 2005, 39(2):187-196.
    • (2005) Transportation Research Part B , vol.39 , Issue.2 , pp. 187-196
    • Daganzo, C.F.1
  • 11
    • 20444451724 scopus 로고    scopus 로고
    • A variational formulation of kinematic waves: solution methods
    • Daganzo C.F. A variational formulation of kinematic waves: solution methods. Transportation Research Part B 2005, 39(10):934-950.
    • (2005) Transportation Research Part B , vol.39 , Issue.10 , pp. 934-950
    • Daganzo, C.F.1
  • 12
    • 33746864161 scopus 로고    scopus 로고
    • Urban gridlock: macroscopic modeling and mitigation approaches
    • Daganzo C.F. Urban gridlock: macroscopic modeling and mitigation approaches. Transportation Research Part B 2007, 41(1):49-62.
    • (2007) Transportation Research Part B , vol.41 , Issue.1 , pp. 49-62
    • Daganzo, C.F.1
  • 13
    • 79954992046 scopus 로고    scopus 로고
    • On the macroscopic stability of freeway traffic
    • Daganzo C.F. On the macroscopic stability of freeway traffic. Transportation Research Part B 2011, 45(5):782-788.
    • (2011) Transportation Research Part B , vol.45 , Issue.5 , pp. 782-788
    • Daganzo, C.F.1
  • 14
    • 78149498814 scopus 로고    scopus 로고
    • Macroscopic relations of urban traffic variables: bifurcations, multivaluedness and instability
    • Daganzo C.F., Gayah V.V., Gonzales E.J. Macroscopic relations of urban traffic variables: bifurcations, multivaluedness and instability. Transportation Research Part B 2011, 45(1):278-288.
    • (2011) Transportation Research Part B , vol.45 , Issue.1 , pp. 278-288
    • Daganzo, C.F.1    Gayah, V.V.2    Gonzales, E.J.3
  • 15
    • 49049107303 scopus 로고    scopus 로고
    • An analytical approximation for the macroscopic fundamental diagram of urban traffic
    • Daganzo C.F., Geroliminis N. An analytical approximation for the macroscopic fundamental diagram of urban traffic. Transportation Research Part B 2008, 42(9):771-781.
    • (2008) Transportation Research Part B , vol.42 , Issue.9 , pp. 771-781
    • Daganzo, C.F.1    Geroliminis, N.2
  • 16
    • 0029389057 scopus 로고
    • On the functional form of the speed-density relationship - II: empirical investigation
    • Del Castillo J.M., Benitez F.G. On the functional form of the speed-density relationship - II: empirical investigation. Transportation Research Part B 1995, 29(5):391-406.
    • (1995) Transportation Research Part B , vol.29 , Issue.5 , pp. 391-406
    • Del Castillo, J.M.1    Benitez, F.G.2
  • 18
    • 79952745756 scopus 로고    scopus 로고
    • Clockwise hysteresis loops in the macroscopic fundamental diagram: an effect of network instability
    • Gayah V., Daganzo C.F. Clockwise hysteresis loops in the macroscopic fundamental diagram: an effect of network instability. Transportation Research Part B 2011, 45(4):643-655.
    • (2011) Transportation Research Part B , vol.45 , Issue.4 , pp. 643-655
    • Gayah, V.1    Daganzo, C.F.2
  • 20
    • 49049097473 scopus 로고    scopus 로고
    • Existence of urban-scale macroscopic fundamental diagrams: some experimental findings
    • Geroliminis N., Daganzo C.F. Existence of urban-scale macroscopic fundamental diagrams: some experimental findings. Transportation Research Part B 2008, 42(9):759-770.
    • (2008) Transportation Research Part B , vol.42 , Issue.9 , pp. 759-770
    • Geroliminis, N.1    Daganzo, C.F.2
  • 21
    • 80955179037 scopus 로고    scopus 로고
    • Hysteresis phenomena of a macroscopic fundamental diagram in freeway networks
    • Geroliminis N., Sun J. Hysteresis phenomena of a macroscopic fundamental diagram in freeway networks. Transportation Research Part A 2011, 45(9):966-979.
    • (2011) Transportation Research Part A , vol.45 , Issue.9 , pp. 966-979
    • Geroliminis, N.1    Sun, J.2
  • 22
    • 49049088202 scopus 로고
    • The mechanism of a road network
    • Godfrey J. The mechanism of a road network. Traffic Engineering and Control 1969, 8(8):323-327.
    • (1969) Traffic Engineering and Control , vol.8 , Issue.8 , pp. 323-327
    • Godfrey, J.1
  • 23
    • 0000935266 scopus 로고
    • A difference method for numerical calculations of discontinuous solutions of the equations of hydrodynamics
    • (in Russian)
    • Godunov S.K. A difference method for numerical calculations of discontinuous solutions of the equations of hydrodynamics. Matematicheskii Sbornik 1959, 47(3):271-306. (in Russian).
    • (1959) Matematicheskii Sbornik , vol.47 , Issue.3 , pp. 271-306
    • Godunov, S.K.1
  • 25
  • 27
    • 0041920783 scopus 로고
    • A mathematical model of traffic flow on a network of unidirectional roads
    • Holden H., Risebro N.H. A mathematical model of traffic flow on a network of unidirectional roads. SIAM Journal on Mathematical Analysis 1995, 26(4):999-1017.
    • (1995) SIAM Journal on Mathematical Analysis , vol.26 , Issue.4 , pp. 999-1017
    • Holden, H.1    Risebro, N.H.2
  • 28
    • 62849092508 scopus 로고    scopus 로고
    • Asymptotic traffic dynamics arising in diverge-merge networks with two intermediate links
    • Jin W.-L. Asymptotic traffic dynamics arising in diverge-merge networks with two intermediate links. Transportation Research Part B 2009, 43(5):575-595.
    • (2009) Transportation Research Part B , vol.43 , Issue.5 , pp. 575-595
    • Jin, W.-L.1
  • 29
    • 84885222316 scopus 로고    scopus 로고
    • A Riemann solver for a system of hyperbolic conservation laws at a general road junction
    • Arxiv preprint
    • Jin, W.-L., 2012a. A Riemann solver for a system of hyperbolic conservation laws at a general road junction. Arxiv preprint. http://arxiv.org/abs/1204.6727.
    • (2012)
    • Jin, W.-L.1
  • 30
    • 84865770647 scopus 로고    scopus 로고
    • A kinematic wave theory of multi-commodity network traffic flow
    • Jin W.-L. A kinematic wave theory of multi-commodity network traffic flow. Transportation Research Part B 2012, 46(8):1000-1022.
    • (2012) Transportation Research Part B , vol.46 , Issue.8 , pp. 1000-1022
    • Jin, W.-L.1
  • 31
    • 84867592398 scopus 로고    scopus 로고
    • The traffic statics problem in a road network
    • Jin W.-L. The traffic statics problem in a road network. Transportation Research Part B 2012, 46(10):1360-1373.
    • (2012) Transportation Research Part B , vol.46 , Issue.10 , pp. 1360-1373
    • Jin, W.-L.1
  • 32
    • 84897041124 scopus 로고    scopus 로고
    • Impact of traffic dynamics on macroscopic fundamental diagram
    • Transportation Research Board 92nd Annual Meeting.
    • Knoop, V.L., Hoogendoorn, S., Lint, H.V., 2013. Impact of traffic dynamics on macroscopic fundamental diagram. In: Transportation Research Board 92nd Annual Meeting.
    • (2013)
    • Knoop, V.L.1    Hoogendoorn, S.2    Lint, H.V.3
  • 35
    • 0000090588 scopus 로고
    • On kinematic waves: II. A theory of traffic flow on long crowded roads
    • Lighthill M.J., Whitham G.B. On kinematic waves: II. A theory of traffic flow on long crowded roads. Proceedings of the Royal Society of London A 1955, 229(1178):317-345.
    • (1955) Proceedings of the Royal Society of London A , vol.229 , Issue.1178 , pp. 317-345
    • Lighthill, M.J.1    Whitham, G.B.2
  • 38
    • 0015204587 scopus 로고
    • Analysis and validation of lane-drop effects of multilane freeways
    • Munjal P.K., Hsu Y.S., Lawrence R.L. Analysis and validation of lane-drop effects of multilane freeways. Transportation Research 1971, 5(4):257-266.
    • (1971) Transportation Research , vol.5 , Issue.4 , pp. 257-266
    • Munjal, P.K.1    Hsu, Y.S.2    Lawrence, R.L.3
  • 39
    • 0000071885 scopus 로고
    • A simplified theory of kinematic waves in highway traffic I: General theory. II: Queuing at freeway bottlenecks. III: Multi-destination flows
    • Newell G.F. A simplified theory of kinematic waves in highway traffic I: General theory. II: Queuing at freeway bottlenecks. III: Multi-destination flows. Transportation Research Part B 1993, 27(4):281-313.
    • (1993) Transportation Research Part B , vol.27 , Issue.4 , pp. 281-313
    • Newell, G.F.1
  • 40
    • 0029480417 scopus 로고
    • Area-wide traffic speed-flow model for the Singapore CBD
    • Olszewski P., Fan H., Tan Y. Area-wide traffic speed-flow model for the Singapore CBD. Transportation Research Part A 1995, 29(4):273-281.
    • (1995) Transportation Research Part A , vol.29 , Issue.4 , pp. 273-281
    • Olszewski, P.1    Fan, H.2    Tan, Y.3
  • 41
    • 0002842180 scopus 로고
    • Shock waves on the highway
    • Richards P.I. Shock waves on the highway. Operations Research 1956, 4(1):42-51.
    • (1956) Operations Research , vol.4 , Issue.1 , pp. 42-51
    • Richards, P.I.1
  • 42
    • 84885217854 scopus 로고    scopus 로고
    • Exploring properties of network-wide flow-density relations in a freeway network
    • Transportation Research Board 91st Annual Meeting. No. 12-2203.
    • Saberi, M., Mahmassani, H.S., 2012. Exploring properties of network-wide flow-density relations in a freeway network. In: Transportation Research Board 91st Annual Meeting. No. 12-2203.
    • (2012)
    • Saberi, M.1    Mahmassani, H.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.