Introduction to modern traffic flow theory and control: The long road to three-phase traffic theory

Introduction to Modern Traffic Flow Theory and Control: The Long Road to Three-Phase Traffic Theory

Volumn , Issue , 2009, Pages 1-265

  Kerner, Boris S ^a  

^a DAIMLER AG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84889839947     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-642-02605-8     Document Type: Book

References (453)

1. K.G. Goulias, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9536-9565
2. H.Rakha, A. Tawfik, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9429-9470
3. H. Rehborn, S.L. Klenov, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9500-9536
4. A.D. May, Traffic Flow Fundamentals, (Prentice-Hall, Inc., New Jersey, 1990)
5. Highway CapacityManual 2000, (National Research Council, Transportation Research Boad, Washington, D.C., 2000)
6. F.A. Haight, Mathematical Theories of Traffic Flow, (Academic Press, New York, 1963)
7. I. Prigogine, R. Herman, Kinetic Theory of Vehicular Traffic, (American Elsevier, New York, 1971)
8. W. Leutzbach, Introduction to the Theory of Traffic Flow, (Springer, Berlin, 1988)
9. N.H. Gartner, C.J. Messer, A.K. Rathi (eds), Traffic Flow Theory: A State-of-the-Art Report, (Transportation Research Board, Washington DC, 2001)
10. M. Cremer, Der Verkehrsfluss auf Schnellstrassen, (Springer, Berlin, 1979)
11. G.B. Whitham, Linear and Nonlinear Waves, (Wiley, New York, 1974)
12. R. Wiedemann, Simulation des Verkehrsflusses, (University of Karlsruhe, Karlsruhe, 1974)
13. G.F. Newell, Applications of Queuing Theory, (Chapman Hall, London, 1982)
14. C.F. Daganzo, Fundamentals of Transportation and Traffic Operations, (Elsevier Science Inc., New York, 1997)
15. M. Papageorgiou, Application of Automatic Control Concepts in Traffic Flow Modeling and Control, (Springer, Berlin, New York, 1983)
16. M. Brackstone, M. McDonald, Transportation Research F 2, 181 (1998)
17. D.C. Gazis, Traffic Theory, (Springer, Berlin, 2002)
18. N. Bellomo, V. Coscia, M. Delitala, Math. Mod. Meth. App. Sc. 12, 1801-1843 (2002)
19. D. Chowdhury, L. Santen, A. Schadschneider, Physics Reports 329, 199 (2000)
20. D. Helbing, Rev. Mod. Phys. 73, 1067-1141 (2001)
21. R. Mahnke, J. Kaupužs, I. Lubashevsky, Phys. Rep. 408, 1-130 (2005)
22. T. Nagatani, Rep. Prog. Phys. 65, 1331-1386 (2002)
23. K. Nagel, P. Wagner, R. Woesler, Oper. Res. 51, 681-716 (2003)
24. B. Piccoli, A. Tosin, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9727-9749
25. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004);
26. in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9302-9355; 9355-9411
27. S. Maerivoet, B. De Moor, Phys. Rep. 419, 1-64 (2005)
28. F.L. Hall, K. Agyemang-Duah, Trans. Res. Rec. 1320, 91-98 (1991)
29. L. Elefteriadou, R.P. Roess, W.R. McShane, Transp. Res. Rec. 1484, 80-89 (1995)
30. B.N. Persaud, S. Yagar, R. Brownlee, Trans. Res. Rec. 1634, 64-69 (1998)
31. B.D. Greenshields, in Highway Research Board Proceedings, 14, pp. 448-477 (1935)
32. N.H. Gartner, Ch. Stamatiadis, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9470-9500
33. A.D. May, Traffic Flow Fundamentals, (Prentice-Hall, Inc., New Jersey, 1990)
34. Highway Capacity Manual 2000, (National Research Council, Transportation Research Board, Washington, D.C., 2000)
35. N.H. Gartner, C.J. Messer, A. Rathi (editors), Traffic Flow Theory: A State-of-the-Art Report, (Transportation Research Board, Washington DC, 2001)
36. Next Generation Simulation Programs, http://ngsim.camsys.com/
37. B.S. Kerner, S.L. Klenov, A. Hiller, H. Rehborn, Phys. Rev. E 73, 046107 (2006)
38. B.S. Kerner, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9302-9355
39. I. Prigogine, R. Herman, Kinetic Theory of Vehicular Traffic, (American Elsevier, New York, 1971)
40. W. Leutzbach, Introduction to the Theory of Traffic Flow, (Springer, Berlin, 1988)
41. F.L. Hall, V.F. Hurdle, J.H. Banks, Transp. Res. Rec. 1365 12-18 (1992)
42. M. Koshi, M. Iwasaki, I. Ohkura, in Proc. 8th International Symposium on Transportation and Traffic Theory, ed. by V.F. Hurdle. (University of Toronto Press, Toronto, Ontario, 1983), p. 403
43. L.C. Edie, R.S. Foote, Highway Res. Board Proc. Ann. Meeting 37, 334-344 (1958)
44. L.C. Edie, R.S. Foote, in Highway Research Board Proceedings, (39. HRB, National Research Council, Washington, D.C., 1960), pp. 492-505
45. L.C. Edie, Oper. Res. 9, 66-77 (1961)
46. L.C. Edie, P. Herman, T.N. Lam, Transp. Science 14, 55-76 (1980)
47. J. Treiterer, J.A. Myers, in Procs. 6th International Symposium on Transportation and Traffic Theory, ed. by D.J. Buckley. (A.H. & AW Reed, London, 1974), pp. 13-38
48. J. Treiterer, Investigation of Traffic Dynamics by Aerial Photogrammetry Techniques, (Ohio State University Technical Report PB 246 094, Columbus, Ohio, 1975)
49. F.L. Hall, K. Agyemang-Duah, Trans. Res. Rec. 1320, 91-98 (1991)
50. L. Elefteriadou, R.P. Roess, W.R. McShane, Transp. Res. Rec. 1484, 80-89 (1995)
51. B.N. Persaud, S. Yagar, R. Brownlee, Trans. Res. Rec. 1634, 64-69 (1998)
52. F.L. Hall, M.A. Gunter, Trans. Res. Rec. 1091 1-9 (1986) 9470-9500
53. F.L. Hall, Trans. Res. A 21 191-201 (1987)
54. H. Okamura, S. Watanabe, T. Watanabe, Trans. Res. Cir. E-C018 (2000)
55. M. Lorenz, L. Elefteriadou, Trans. Res. Cir. E-C018 84-95 (2000)
56. H. Zurlinden, Ganzjahresanalyse des Verkehrsflusses auf Straßen. Schriftenreihe des Lehrstuhls für Verkehrswesen der Ruhr-Universität Bochum, Heft 26 (Ruhr-Universität Bochum, Bochum, 2003)
57. W. Brilon, J. Geistefeld, M. Regler, in Transportation and Traffic Theory, ed. by H.S. Mahmassani. Proceedings of the 16th Inter. Sym. on Transportation and Traffic Theory, (Elsevier, Amsterdam, 2005), pp. 125-144
58. W. Brilon, H. Zurlinden, Straßenverkehrstechnik, Heft 4, 164 (2004)
59. W. Brilon, M. Regler, J. Geistefeld, Straßenverkehrstechnik, Heft 3, 136 (2005)
60. B.S. Kerner, in Proceedings of the 3rd Symposium on Highway Capacity and Level of Service, ed. by R. Rysgaard. Vol 2 (Road Directorate, Ministry of Transport - Denmark, 1998), pp. 621-642
61. B.S. Kerner, Phys. Rev. Lett. 81, 3797-3400 (1998)
62. B.S. Kerner, in Traffic and Granular Flow' 97, ed. by M. Schreckenberg, D.E. Wolf. (Springer, Singapore, 1998), pp. 239-267
63. B.S. Kerner, Trans. Res. Rec. 1678, 160-167 (1999)
64. B.S. Kerner, in Transportation and Traffic Theory, ed. by A. Ceder. (Elsevier Science, Amsterdam 1999), pp. 147-171
65. B.S. Kerner, Physics World 12, 25-30 (August 1999)
66. B.S. Kerner, J. Phys. A: Math. Gen. 33, L221-L228 (2000);
67. Networks and Spatial Economics, 1, 35 (2001);
68. in Progress in Industrial Mathematics at ECMI 2000, (Springer, Berlin, 2001), pp. 286-292;
69. Mathematical and Computer Modelling, 35, 481-508 (2002)
70. B.S. Kerner, Trans. Res. Rec. 1710, 136 (2000)
71. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004)
72. B.S. Kerner, Phys. Rev. E 65, 046138 (2002)
73. B.S. Kerner, J. Phys. A: Math. Theor. 41, 215101 (2008);
74. J. Phys. A: Math. Theor. 369801 (2008)
75. B.S. Kerner, S.L. Klenov, A. Hiller, J. Phys. A: Math. Gen. 39, 2001-2020 (2006)
76. B.S. Kerner, H. Rehborn, Phys. Rev. E 53, R1297-R1300 (1996);
77. Phys. Rev. E R4275-R4278 (1996);
78. Phys. Rev. Lett. 79, 4030-4033 (1997)
79. B.S. Kerner, P. Konhäuser, Phys. Rev. E 50, 54-83 (1994)
80. B.S. Kerner, in Transportation Systems 1997, ed. by M. Papageorgiou, A. Pouliezos. (Elsevier Science Ltd., London, 1997), pp. 765-770
81. B.S. Kerner, S.L. Klenov, P. Konhäuser, Phys. Rev. E 56, 4200-4216 (1997)
82. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004)
83. B.S. Kerner, in Proceedings of the 3rd Symposium on Highway Capacity and Level of Service, ed. by R. Rysgaard. Vol 2 (Road Directorate, Ministry of Transport - Denmark, 1998), pp. 621-642
84. B.S. Kerner, Phys. Rev. Lett. 81, 3797-3400 (1998)
85. B.S. Kerner, in Traffic and Granular Flow' 97, ed. by M. Schreckenberg, D.E. Wolf. (Springer, Singapore, 1998), pp. 239-267
86. B.S. Kerner, Trans. Res. Rec. 1678, 160-167 (1999)
87. B.S. Kerner, in Transportation and Traffic Theory, ed. by A. Ceder. (Elsevier Science, Amsterdam 1999), pp. 147-171
88. B.S. Kerner, Physics World 12, 25-30 (August 1999)
89. B.S. Kerner, J. Phys. A: Math. Gen. 33, L221-L228 (2000);
90. Networks and Spatial Economics, 1, 35 (2001);
91. in Progress in Industrial Mathematics at ECMI 2000, (Springer, Berlin, 2001), pp. 286-292;
92. Mathematical and Computer Modelling, 35, 481-508 (2002)
93. B.S. Kerner, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9302-9355
94. B.S. Kerner, Trans. Res. Rec. 1710, 136-144 (2000)
95. B.S. Kerner, J. Phys. A: Math. Theor. 41, 215101 (2008);
96. J. Phys. A: Math. Theor. 369801 (2008)
97. B.S. Kerner, S.L. Klenov, cond-mat/0502281, e-print in http://arxiv.org/abs/condmat/ 0502281 (2005)
98. B.S. Kerner, S.L. Klenov, Physica A 364, 473-492 (2006)
99. B.S. Kerner, S.L. Klenov, Transp. Res. Rec. 1965, 70-78 (2006)
100. B.S. Kerner, S.L. Klenov, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9282-9302
101. B.S. Kerner, S.L. Klenov, Phys. Rev. E 68, 036130 (2003)
102. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, (Oxford University Press, Oxford, 1961)
103. C.W. Gardiner, Handbook of Stochastic Methods, (Springer, Berlin, 1994)
104. H. Haken, Synergetics, (Springer, Berlin 1977)
105. H. Haken, Advanced Synergetics, (Springer, Berlin 1983)
106. H. Haken, Information and Self-Organization, (Springer, Berlin 1988)
107. V.A. Vasil'ev, Yu.M. Romanovskii, D.S. Chernavskii, V.G. Yakhno, Autowave Processes in Kinetic Systems, (Springer, Berlin 1990)
108. A.S. Mikhailov, Foundations of Synergetics Vol. I, (Springer, Berlin 1994), 2nd ed.
109. A.S. Mikhailov, A.Yu. Loskutov, Foundation of Synergetics II. Complex patterns, (Springer, Berlin 1991)
110. B.S. Kerner, V.V. Osipov, Autosolitons: A New Approach to Problems of Self-Organization and Turbulence, (Kluwer, Dordrecht, Boston, London 1994);
111. Sov. Phys. Usp. 32, 101-138 (1989);
112. Sov. Phys. Usp. 33, 679-719 (1990)
113. N. N. Rosanov, Spatial Hysteresis and Optical Patterns, (Springer, Berlin, 2002)
114. B.S. Kerner, S.L. Klenov, D.E. Wolf, J. Phys. A: Math. Gen. 35, 9971-10013 (2002)
115. B.S. Kerner, S.L. Klenov, unpublished
116. A.D. May, Traffic Flow Fundamentals, (Prentice-Hall, Inc., New Jersey, 1990)
117. Highway Capacity Manual 2000, (National Research Council, Transportation Research Board, Washington, D.C., 2000)
118. N.H. Gartner, C.J. Messer, A. Rathi (editors), Traffic Flow Theory: A State-of-the-Art Report, (Transportation Research Board, Washington DC, 2001)
119. F.L. Hall, K. Agyemang-Duah, Trans. Res. Rec. 1320, 91-98 (1991)
120. L. Elefteriadou, R.P. Roess, W.R. McShane, Transp. Res. Rec. 1484, 80-89 (1995)
121. B.N. Persaud, S. Yagar, R. Brownlee, Trans. Res. Rec. 1634, 64-69 (1998)
122. W. Brilon, J. Geistefeld, M. Regler, in Transportation and Traffic Theory ed. by H.S. Mahmassani. Proceedings of the 16th Inter. Sym. on Transportation and Traffic Theory, (Elsevier, Amsterdam, 2005), pp. 125-144
123. I. Prigogine, R. Herman, Kinetic Theory of Vehicular Traffic, (American Elsevier, New York, 1971)
124. W. Leutzbach, Introduction to the Theory of Traffic Flow, (Springer, Berlin, 1988)
125. R. Wiedemann, Simulation des Verkehrsflusses, (University of Karlsruhe, Karlsruhe, 1974)
126. G.F. Newell, Applications of Queuing Theory, (Chapman Hall, London, 1982)
127. C.F. Daganzo, Fundamentals of Transportation and Traffic Operations, (Elsevier Science Inc., New York, 1997)
128. M. Papageorgiou, Application of Automatic Control Concepts in Traffic Flow Modeling and Control, (Springer, Berlin, New York, 1983)
129. D.C. Gazis, Traffic Theory, (Springer, Berlin, 2002)
130. D. Chowdhury, L. Santen, A. Schadschneider, Physics Reports 329, 199 (2000)
131. D. Helbing, Rev. Mod. Phys. 73, 1067-1141 (2001)
132. R. Mahnke, J. Kaupužs, I. Lubashevsky, Phys. Rep. 408, 1-130 (2005)
133. T. Nagatani, Rep. Prog. Phys. 65, 1331-1386 (2002)
134. K. Nagel, P. Wagner, R. Woesler, Oper. Res. 51, 681-716 (2003)
135. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004);
136. Physica A 333, 379-440 (2004)
137. B.S. Kerner, S.L. Klenov, D.E. Wolf, J. Phys. A: Math. Gen. 35, 9971-10013 (2002)
138. B.S. Kerner, in Proceedings of the 3rd Symposium on Highway Capacity and Level of Service, ed. by R. Rysgaard. Vol 2 (Road Directorate, Ministry of Transport - Denmark, 1998), pp. 621-642
139. B.S. Kerner, Phys. Rev. Lett. 81, 3797-3400 (1998)
140. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004)
141. B.S. Kerner, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9302-9355
142. B.S. Kerner, in Traffic and Granular Flow' 97, ed. by M. Schreckenberg, D.E. Wolf. (Springer, Singapore, 1998), pp. 239-267
143. B.S. Kerner, Trans. Res. Rec. 1678, 160-167 (1999)
144. B.S. Kerner, in Transportation and Traffic Theory, ed. by A. Ceder. (Elsevier Science, Amsterdam 1999), pp. 147-171
145. B.S. Kerner, Physics World 12, 25-30 (August 1999)
146. B.S. Kerner, P. Konhäuser, Phys. Rev. E 50, 54-83 (1994)
147. B.S. Kerner, H. Rehborn, Phys. Rev. E 53, R1297-R1300;
148. Phys. Rev. E R4275-R4278 (1996);
149. Phys. Rev. Lett. 79, 4030-4033 (1997)
150. B.S. Kerner, S.L. Klenov, Phys. Rev. E 68, 036130 (2003)
151. B.S. Kerner, S.L. Klenov, D.E. Wolf, J. Phys. A: Math. Gen. 35, 9971-10013 (2002)
152. D.C. Gazis, R. Herman, R.W. Rothery, Oper. Res. 9, 545-567 (1961)
153. R. Herman, E.W. Montroll, R.B. Potts, R.W. Rothery, Oper. Res. 7, 86-106 (1959)
154. E. Kometani, T. Sasaki, J. Oper. Res. Soc. Jap. 2, 11 (1958)
155. E. Kometani, T. Sasaki, Oper. Res. 7, 704-720 (1959)
156. N.H. Gartner, C.J. Messer, A. Rathi (editors) Traffic Flow Theory: A State-of-the-Art Report, (Transportation Research Board, Washington DC, 2001)
157. D.C. Gazis, Traffic Theory, (Springer, Berlin, 2002)
158. D. Chowdhury, L. Santen, A. Schadschneider, Physics Reports 329, 199 (2000)
159. D. Helbing, Rev. Mod. Phys. 73, 1067-1141 (2001)
160. T. Nagatani, Rep. Prog. Phys. 65, 1331-1386 (2002)
161. A.D. May, Traffic Flow Fundamentals, (Prentice-Hall, Inc., New Jersey, 1990)
162. B.S. Kerner, S.L. Klenov, J. Phys. A: Math. Gen. 35, L31-L43 (2002)
163. S. Ahn, M.J. Cassidy, in Transportation and Traffic Theory, ed. by R.E. Allsop, M.G.H. Bell, B.G. Hydecker. (Elsevier, Amsterdam, 2007), pp. 691-710
164. B.S. Kerner, S.L. Klenov, J. Phys. A: Math. Gen. 39, 1775-1809 (2006)
165. B.S. Kerner, Transp. Res. Rec. 1999, 30-39 (2007)
166. B.S. Kerner, S.L. Klenov, unpublished
167. Next Generation Simulation Programs, http://ngsim.camsys.com/
168. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004)
169. B.S. Kerner, J. Phys. A: Math. Theor. 41, 215101 (2008);
170. J. Phys. A: Math. Theor. 369801 (2008)
171. B.S. Kerner, S.L. Klenov, A. Hiller, J. Phys. A: Math. Gen. 39, 2001-2020 (2006)
172. B.S. Kerner, S.L. Klenov, A. Hiller, H. Rehborn, Phys. Rev. E 73, 046107 (2006)
173. B.S. Kerner, S.L. Klenov, unpublished
174. Next Generation Simulation Programs, http://ngsim.camsys.com/
175. B.S. Kerner, S.L. Klenov, Trans. Rec. Rec. (2009) (in press)
176. B.S. Kerner, in Proceedings of the 3rd Symposium on Highway Capacity and Level of Service, ed. by R. Rysgaard. Vol 2, (Road Directorate, Ministry of Transport - Denmark, 1998), pp. 621-642;
177. Phys. Rev. Lett. 81, 3797-3400 (1998);
178. Trans. Res. Rec. 1678, 160-167 (1999);
179. in Transportation and Traffic Theory, ed. by A. Ceder. (Elsevier Science, Amsterdam 1999), pp. 147-171;
180. Physics World 12, 25-30 (August 1999);
181. Phys. Rev. E 65, 046138 (2002)
182. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004)
183. B.S. Kerner, J. Phys. A: Math. Theor. 41, 215101 (2008);
184. J. Phys. A: Math. Theor. 369801 (2008)
185. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004)
186. B.S. Kerner, H. Rehborn, M. Aleksić, A. Haug, Transp. Res. C 12, 369-400 (2004)
187. H. Rehborn, S.L. Klenov, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9282-9302
188. B.S. Kerner, H. Rehborn, H. Kirschfink, German Patent DE 196 47 127 C2 (1998); US Patent US 5861820
189. B.S. Kerner, German Patent DE 199 40 957 C2 (1999)
190. B.S. Kerner, German Patent DE 199 44 075 C2 (1999); USA Patent US 2002045985; Japan Patent JP 2002117481
191. B.S. Kerner, M. Aleksić, U. Denneler, German Patent DE 199 44 077 C1 (1999)
192. H. Rehborn, J. Palmer, Straßenverkehrstechnik, No. 8, 463-470 (2008)
193. H. Rehborn, J. Palmer, Traf. Eng. & Cont. 49, 261-266 (2008)
194. H. Rehborn, J. Palmer, in Proceedings of IEEE Intelligent Vehicles Symposium, (Eindhoven, 2008)
195. J. Palmer, H. Rehborn, L. Mbekeani, in Proceedings of 15th World Congress on Intelligent Transport Systems, (New York, 2008)
196. E.E. Stokes, Phil. Mag. 33, 349-356 (1848)
197. B.S. Kerner, H. Rehborn, S.L. Klenov, M. Prinn, J. Palmer, German patent publication DE 102008003039 (2009)
198. E.D. Arnold, Ramp Metering: A Review of the Literature, (Virginia Transportation Research Council, USA, 1998)
199. A.D. May, Traffic Flow Fundamentals, (Prentice-Hall, Inc., New Jersey, 1990)
200. M. Papageorgiou, Application of Automatic Control Concepts in Traffic Flow Modeling and Control, (Springer, Berlin, New York, 1983)
201. E. Smaragdis, M. Papageorgiou, Transp. Res. Rec. 1856, 74-86 (2003)
202. A. Hegyi, T. Bellemans, B. De Schutter, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 3943-3964
203. M. Papageorgiou, A. Kotsialos, IEEE Trans. on ITS. 3, 271-281 (2002)
204. M. Papageorgiou, H. Hadj-Salem, J.-M. Blosseville, Transp. Res. Rec. 1320, 58-64 (1991)
205. M. Papageorgiou, H. Hadj-Salem, F. Middleham, Transp. Res. Rec. 1603, 99-98 (1997)
206. M. Papageorgiou, J.-M. Blosseville, H. Hadj-Salem, Trans. Res. A. 24, 361-370 (1990)
207. M. Papageorgiou, Y. Wang, E. Kosmatopoulos, I. Papamichail, Traf. Eng. & Cont. 48, 271-276 (2007)
208. M. Papageorgiou, E. Kosmatopoulos, I. Papamichail, Y. Wang, IEEE Trans. on ITS. 9, 360-365 (2008)
209. B.S. Kerner, Traf. Eng. & Cont. 48, 28-35 (2007)
210. B.S. Kerner, Traf. Eng. & Cont. 48, 68-75 (2007)
211. B.S. Kerner, Traf. Eng. & Cont. 48, 114-120 (2007)
212. B.S. Kerner, IEEE Trans. on ITS 8, 308-320 (2007)
213. B.S. Kerner, Transp. Res. Rec. 2088, 80-89 (2008)
214. B.S. Kerner, in Proceedings of the 83rd TRB Annual Meeting, (Washington, DC, 2004), TRB Paper 04-3062
215. B.S. Kerner, Physica A 355, 565-601 (2005)
216. B.S. Kerner, Transp. Res. Rec. 1999, 30-39 (2007)
217. G. Noecker, D. Hermann, A. Hiller:, in Proceedings of the 7th World Congress on Intelligent Transportation Systems, (Torino, Italy 2000) Paper No. 2013
218. R.G. Herrtwich, G. Noecker:, in Traffic and Granular Flow01, ed. by M. Fukui, Y. Sugiyama, M. Schreckenberg, D.E. Wolf. (Springer, Berlin 2003), pp. 271-280
219. G. Noecker, K. Mezger, B.S. Kerner, in Proceedings of Workshop FAS2005, ed. by C. Stiller, M. Maurer. (University of Karlsruhe, Germany 2003), pp. 151-162
220. The INVENT Project. http://www.invent-online.de/
221. B.S. Kerner, Trans. Res. Rec. 1678, 160-167 (1999);
222. in Transportation and Traffic Theory, ed. by A. Ceder. (Elsevier Science, Amsterdam 1999), pp. 147-171;
223. Networks and Spatial Economics, 1, 35 (2001);
224. Mathematical and Computer Modelling, 35, 481-508 (2002);
225. Phys. Rev. E 65, 046138 (2002)
226. Dedicated Short Range Communications working group. http://grouper.ieee. org/groups/ scc32/dsrc/index.html
227. The Fleetnet Project. http://www.fleetnet.de
228. The Now: Network on Wheels Project. http://www.network-on-wheels.de
229. Internet ITS Consortium. http://www.internetits.org
230. The WILLWARN Project. http://www.prevent-ip.org/en/
231. Vehicle safety communications consortium. http://www-nrd.nhtsa.dot.gov/ pdf/nrd-12/CAMP3/pages/VSCC.htm
232. Car2Car Communication Consortium. http://www.car-to-car.org/
233. R. Schmitz, M. Torrent-Moreno, H. Hartenstein,W. Effelsberg, in Proceeding of 29th Annual IEEE International Conference on Local Computer Networks, (IEEE, Tampa, Florida, 2004), pp. 594-601
234. M. Torrent-Moreno, D. Jiang, H. Hartenstein, in VANET'04: Proceedings of the 1st ACM International Workshop on Vehicular Ad Hoc Networks, (Philadelphia, Pennsylvania, 2004), pp. 10-18
235. M. Torrent-Moreno, S. Corroy, F. Schmidt-Eisenlohr, H. Hartenstein, in MSWiM'06: Proceedings of the 9th ACM international Symposium on Modeling Analysis and Simulation of Wireless and Mobile Systems, (Terromolinos, Spain, 2007), pp. 68-77
236. F. Schmidt-Eisenlohr, M. Torrent-Moreno, J. Mittag, H. Hartenstein, in WONS'07: Proceedings of the Fourth Annual Conference on Wireless on Demand Network Systems and Services, (Obergurgl, Austria, 2007), pp. 50-58
237. D. Choffnes, F. Bustamante, in Proceedings of the International Workshop on Vehicular Ad Hoc Networks, (Cologne, Germany, 2005)
238. J. Maurer, T. Fgen,W.Wiesbeck, in Proceedings of the International Workshop on Intelligent Transportation, (Hamburg, Germany, March 2005).
239. Q. Chen, D. Jiang, V. Taliwal, L. Delgrossi, in Proceedings of the International Workshop on Vehicular Ad Hoc Networks, (Los Angeles, 2006)
240. First Simulation Workshop 2007. http://www.comesafety.org/index.php?id=34
241. B. Sklar, IEEE Communications Magazine, 35, 90-100 (1997)
242. B. S. Kerner, S. L. Klenov, A. Brakemeier, arXiv: 0712.2711 (2007), available at http://arxiv.org/abs/0712.2711;
243. in Proceedings of IEEE IV 2008, paper 35;
244. in Proceedings of the Fourth international Workshop on Vehicle-to-Vehicle Communication V2VCOM 2008 (2008), pp. 57-63
245. IEEE Std.802.11-1999, Part 11: Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) specifications. IEEE Std.802.11, 1999 edition.
246. IEEE Std.802.11e/D4.4, Draft Supplement to Part 11:Wireless LANMedium Access Control (MAC) and Physical Layer (PHY) specifications: Higher-speed Physical Layer the 5 GHz Band, IEEE Std.802.11a-1999, 1999.
247. IEEE Std.802.11a, Supplement to Part 11: Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) specifications: Medium Access Control (MAC) Enhancements for Quality of Service (QoS), June 2004.
248. S. Becker, M. Bork, H.T. Dorissen, G. Geduld, O. Hofmann, K. Naab, G. Nöcker, P. Rieth, J. Sonntag, in Proceedings of the 1st World Congress on Applications of Transport Telematics and Intelligent Vehicle-Highway Systems, (1994), pp. 1828-1843.
249. R. Müller, G. Nöcker, in Proceedings of the Intelligent Vehicles '92 Symposium, ed. by I. Masaki. (IEEE, Detroit, USA, 1992), pp. 173-178
250. G. Nöcker, in Band Elektronik im Kraftfahrzeugwesen, ed. by G. Walliser. Vol. 437, (Expert Verlag 1994), pp. 299-322 (ISBN 3-8169-1024-6).
251. B.S. Kerner, cond-mat/0309017 (2003), e-print in http://arxiv.org/abs/ cond-mat/0309017
252. B.S. Kerner, in Proceedings of the 10th World Congress on Intelligent Transport Systems, Paper No. 2043 T, (Madrid, Spain, 2003)
253. L.C. Davis, Phys. Rev. E. 69, 066110 (2004)
254. B.S. Kerner, in Transportation and Traffic Theory. Proceedings of the 16th Inter. Sym. on Transportation and Traffic Theory, ed. by H.S. Mahmassani. (Elsevier, Amsterdam, 2005), pp. 181-204
255. L.C. Davis, Physica A 368, 541-550 (2006)
256. L.C. Davis, Physica A 379, 274-290 (2007)
257. B.S. Kerner, German patent DE 10308256.5 (2004);
258. USA patent US 20070150167 (2007) http://www.freepatentsonline.com/ 20070150167.html; German patent publications DE 102005017559 (2007), DE 102005017560 (2007), DE 102005033495 (2007), DE 102007008255 (2007), DE 102007008253 (2007), DE 102007008254 (2007), DE 102007008257 (2007), DE 102008023704 (2008)
259. B.D. Greenshields, in Highway Research Board Proceedings, 14, pp. 448-477 (1935)
260. M. Koshi, M. Iwasaki, I. Ohkura, in Proc. 8th International Symposium on Transportation and Traffic Theory, ed. by V.F. Hurdle. (University of Toronto Press, Toronto, Ontario, 1983), pp. 403
261. D. Drew, Traffic Flow Theory and Control, (NY: McGraw Hill, New York, 1968)
262. W. Leutzbach, Introduction to the Theory of Traffic Flow, (Springer, Berlin, 1988)
263. A.D. May, Traffic Flow Fundamentals, (Prentice-Hall, Inc., New Jersey, 1990)
264. F.A. Haight, Mathematical Theories of Traffic Flow, (Academic Press, New York, 1963)
265. Highway Capacity Manual 2000, (National Research Council, Transportation Research Board, Washington, D.C., 2000)
266. C.F. Daganzo, Fundamentals of Transportation and Traffic Operations, (Elsevier Science Inc., New York, 1997)
267. R. Wiedemann, Simulation des Verkehrsflusses, (University of Karlsruhe, Karlsruhe, 1974)
268. I. Prigogine, R. Herman, Kinetic Theory of Vehicular Traffic, (American Elsevier, New York, 1971)
269. G.B. Whitham, Linear and Nonlinear Waves, (Wiley, New York, 1974)
270. M. Cremer, Der Verkehrsfluss auf Schnellstrassen, (Springer, Berlin, 1979)
271. N.H. Gartner, C.J. Messer, A.K. Rathi (editors), Traffic Flow Theory: A State-of-the-Art Report, (Transportation Research Board, Washington DC, 2001)
272. D.C. Gazis, Traffic Theory, (Springer, Berlin, 2002)
273. G.F. Newell, Applications of Queuing Theory, (Chapman Hall, London, 1982)
274. M. Papageorgiou, Application of Automatic Control Concepts in Traffic Flow Modeling and Control, (Springer, Berlin, New York, 1983)
275. M. Brackstone, M. McDonald, Transportation Research F 2, 181 (1998)
276. D.E. Wolf, Physica A 263, 438-451 (1999)
277. D. Chowdhury, L. Santen, A. Schadschneider, Physics Reports 329, 199 (2000)
278. D. Helbing, Rev. Mod. Phys. 73, 1067-1141 (2001)
279. T. Nagatani, Rep. Prog. Phys. 65, 1331-1386 (2002)
280. K. Nagel, P. Wagner, R. Woesler, Oper. Res. 51, 681-716 (2003)
281. R. Mahnke, J. Kaupužs, I. Lubashevsky, Phys. Rep. 408, 1-130 (2005)
282. N. Bellomo, V. Coscia, M. Delitala, Math. Mod. Meth. App. Sc. 12, 1801-1843 (2002)
283. B. Piccoli, A. Tosin, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9727-9749
284. H. Rakha, P. Pasumarthy, S. Adjerid, Transportation Letters, 1, 95-110 (2009)
285. S. Maerivoet, B. De Moor, Phys. Rep. 419, 1-64 (2005)
286. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004)
287. L. Neubert, L. Santen, A. Schadschneider, M. Schreckenberg, Phys. Rev. E 60, 6480-6490 (1999)
288. W. Knospe, L. Santen, A. Schadschneider,M. Schreckenberg, Phys. Rev. E 65, 056133 (2002)
289. W. Knospe, L. Santen, A. Schadschneider,M. Schreckenberg, Phys. Rev. E 70, 016115 (2004)
290. M.J. Cassidy, J.R. Windover, Transportation Res. Rec. 1484, 73-79 (1995);
291. W.H. Lin, C.F. Daganzo, Transp. Res. 31A, 141-155 (1997);
292. J.-C. Muñoz, C.F. Daganzo, in Transportation and Traffic Theory in the 21st Century, ed. by M.A.P. Taylor. (Elsevier Science, Amsterdam 2002), pp. 441-461
293. M.J. Lighthill, G.B. Whitham, Proc. Roy. Soc. A 229, 281-345 (1995)
294. P.I. Richards, Oper. Res. 4, 42-51 (1956)
295. C.F. Daganzo, Trans. Res. B 28, 269-287 (1993)
296. R. Herman, E.W. Montroll, R.B. Potts, R.W. Rothery, Oper. Res. 7, 86-106 (1959)
297. D.C. Gazis, R. Herman, R.W. Rothery, Oper. Res. 9, 545-567 (1961)
298. G.F. Newell, Oper. Res. 9, 209-229 (1961)
299. G.B. Whitham, Proc. R. Soc. London A 428, 49 (1990)
300. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, Y. Sugiyama, Jpn. J. Appl. Math. 11, 203-223 (1994)
301. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, Y. Sugiyama, Phys. Rev. E 51, 1035-1042 (1995)
302. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, Y. Sugiyama, J. Phys. I France 5, 1389-1399 (1995)
303. H.J. Payne, in Mathematical Models of Public Systems, ed. by G.A. Bekey. Vol. 1, (Simulation Council, La Jolla, 1971)
304. H.J. Payne, Tran. Res. Rec. 772, 68 (1979)
305. H.-T. Fritzsche, Transportation Engineering Contribution 5, 317 (1994)
306. P.G. Gipps, Trans. Res. B 15, 105-111 (1981)
307. K. Nagel, M. Schreckenberg, J. Phys. (France) I 2, 2221-2229 (1992)
308. R. Barlović, L. Santen, A. Schadschneider, M. Schreckenberg, Eur. Phys. J. B 5, 793-800 (1998)
309. S. Krauß, P. Wagner, C. Gawron, Phys. Rev. E 55, 5597-5602 (1997)
310. S. Krauß, PhD thesis, DRL-Forschungsbericht 98-08 (1998). http://www.zaik.de/paper
311. M. Treiber, A. Hennecke, D. Helbing, Phys. Rev. E 62, 1805-1824 (2000)
312. B.S. Kerner, S.L. Klenov, J. Phys. A: Math. Gen. 39, 1775-1809 (2006); 7605
313. B.S. Kerner, in Transportation Research Trends, ed. by P.O. Inweldi. (Nova Science Publishers, Inc., New York, USA, 2008), pp. 1-92
314. B.S. Kerner, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9302-9355
315. E.E. Stokes, Phil. Mag. 33, 349-356 (1848)
316. E. Kometani, T. Sasaki, J. Oper. Res. Soc. Jap. 2, 11 (1958)
317. E. Kometani, T. Sasaki, Oper. Res. 7, 704-720 (1959)
318. T. Nagatani, K. Nakanishi, Phys. Rev. E 57, 6415-6421 (1998)
319. I. Lubashevsky, P. Wagner, R. Mahnke, Eur. Phys. J. B 32, 243-247 (2003)
320. B.S. Kerner, P. Konhäuser, Phys. Rev. E 50, 54-83 (1994)
321. B.S. Kerner, P. Konhäuser, Phys. Rev. E 48, 2335-2338 (1993)
322. R. Kühne, in Highway Capacity and Level of Service, ed. by U. Brannolte. (A.A. Balkema, Rotterdam, 1991), pp. 211
323. B.S. Kerner, P. Konhäuser, M. Schilke, Phys. Rev. E 51, 6243-6246 (1995)
324. A. Aw, M. Rascle, SIAM J. Appl. Math. 60, 916-938 (2000)
325. C.F. Tanga, R. Jiang, Q.S. Wu, Physica A 377, 641-650 (2007)
326. D. Helbing, A. Hennecke, M, Treiber, Phys. Rev. Lett. 82, 4360-4363 (1999)
327. H.Y. Lee, H.-W. Lee, D. Kim, Phys. Rev. E 59, 5101-5111 (1999)
328. L.A. Pipes, J. Appl. Phys. 24, 274-287 (1953)
329. B.S. Kerner, P. Konhäuser, bild der wissenschaft, Heft 11, 86-89 (1994)
330. M. Schönhof, D. Helbing, Transp. Sc. 41, 135-166 (2007)
331. M. Schönhof, D. Helbing, Transp. Rec. B 43, 784-797 (2009)
332. P. Berg, A. Woods, Phys. Rev. E 64, 035602(R) (2001)
333. B.S. Kerner, H. Rehborn, Phys. Rev. E 53, R1297-R1300; R4275-R4278 (1996)
334. M. Takayasu, H. Takayasu, Fractals 1, 860-866 (1993)
335. B.S. Kerner, Phys. Rev. Lett. 81, 3797-3400 (1998)
336. B.S. Kerner, in Proceedings of the 3rd Symposium on Highway Capacity and Level of Service, ed. by R. Rysgaard, Vol 2, (Road Directorate, Ministry of Transport - Denmark, 1998), pp. 621-642
337. B.S. Kerner, Trans. Res. Rec. 1678, 160-167 (1999)
338. B.S. Kerner, Physics World 12, 25-30 (August 1999);
339. in Transportation and Traffic Theory, ed. by A. Ceder. (Elsevier Science, Amsterdam, 1999), pp. 147-171
340. B.S. Kerner, J. Phys. A: Math. Theor. 41, 215101 (2008); 369801 (2008)
341. B.S. Kerner, P. Konhäuser, M. Schilke, Phys. Lett. A 215, 45-56 (1996)
342. B.S. Kerner, S.L. Klenov, A. Hiller, Non. Dyn. 49, 525-553 (2007)
343. B.S. Kerner, S.L. Klenov, A. Hiller, J. Phys. A: Math. Gen. 39, 2001-2020 (2006)
344. J.-B. Lesort (editor), Transportation and Traffic Theory. Proceedings of the 13th International Symposium on Transportation and Traffic Theory, (Elsevier Science Ltd, Oxford, 1996)
345. A. Ceder (editor), Transportation and Traffic Theory. Proceedings of the 14th International Symposium on Transportation and Traffic Theory, (Elsevier Science Ltd, Oxford, 1999)
346. M.A.P. Taylor (editor), Transportation and Traffic Theory in the 21st Century. Proceedings of the 15th International Symposium on Transportation and Traffic Theory, (Elsevier Science Ltd, Amsterdam, 2002)
347. D.E. Wolf, M. Schreckenberg, A. Bachem (editors), Traffic and Granular Flow. Proceedings of the International Workshop on Traffic and Granular Flow, (World Scientific, Singapore, 1995)
348. M. Schreckenberg, D.E. Wolf (editors), Traffic and Granular Flow' 97. Proceedings of the International Workshop on Traffic and Granular Flow, (Springer, Singapore, 1998)
349. D. Helbing, H.J. Herrmann, M. Schreckenberg, D.E. Wolf (editors), Traffic and Granular Flow' 99, (Springer, Heidelberg, 2000)
350. M. Fukui, Y. Sugiyama, M. Schreckenberg, D.E. Wolf (editors), Traffic and Granular Flow' 01, (Springer, Heidelberg, 2003)
351. S.P. Hoogendoorn, S. Luding, P.H.L. Bovy, M. Schreckenberg, D.E. Wolf (editors), Traffic and Granular Flow' 03, (Springer, Heidelberg, 2005)
352. A. Schadschneider, T. Pöschel, R.D. Kühne, M. Schreckenberg, D.E. Wolf (editors), Traffic and Granular Flow' 05. Proceedings of the International Workshop on Traffic and Granular Flow, (Springer, Berlin, 2007)
353. E. Brockfeld, R.D. Kühne, A. Skabardonis, P.Wagner, Trans. Res. Rec. 1852, 124-129 (2003)
354. B.S. Kerner, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9355-9411
355. Y. Wang, M. Papageorgiou, A. Messmer, in Proceedings of the 83rd Annual Transportation Research Board Meeting, TRB Paper No. 04-3429. (TRB, Washington DC, 2004)
356. E. Brockfeld, R.D. Kühne, P. Wagner, in Proceeding of the Transportation Research Board 84th Annual Meeting, TRB Paper No. 05-2152. (TRB, Washington, DC, 2005)
357. W. Knospe, L. Santen, A. Schadschneider, M. Schreckenberg, J. Phys. A: Math. Gen. 33, L477-L485 (2000)
358. B.S. Kerner, S.L. Klenov, D.E. Wolf, J. Phys. A: Math. Gen. 35, 9971-10013 (2002)
359. B.S. Kerner, S.L. Klenov, A. Hiller, H. Rehborn, Phys. Rev. E 73, 046107 (2006)
360. L. Elefteriadou, R.P. Roess, W.R. McShane, Transp. Res. Rec. 1484, 80-89 (1995)
361. B.N. Persaud, S. Yagar, R. Brownlee, Transp. Res. Rec. 1634, 64-69 (1998)
362. M. Lorenz, L. Elefteriadou Trans. Res. Cir. E-C018, 84-95 (2000)
363. W. Brilon, J. Geistefeld, M. Regler, in Transportation and Traffic Theory. Proceedings of the 16th Inter. Sym. on Transportation and Traffic Theory, ed. by H.S. Mahmassani. (Elsevier, Amsterdam, 2005), pp. 125-144
364. W. Brilon, H. Zurlinden, Straßenverkehrstechnik, Heft 4, 164 (2004)
365. W. Brilon, M. Regler, J. Geistefeld, Straßenverkehrstechnik, Heft 3, 136 (2005)
366. F.L. Hall, K. Agyemang-Duah, Transp. Res. Rec. 1320, 91-98 (1991)
367. B.S. Kerner, Physica A 355, 565-601 (2005)
368. B.S. Kerner, Traf. Eng. & Cont. 48, 28-35 (2007)
369. B.S. Kerner, Traf. Eng. & Cont. 48, 68-75 (2007)
370. B.S. Kerner, Traf. Eng. & Cont. 48, 114-120 (2007)
371. B.S. Kerner, IEEE Trans. on ITS, 8, 308-320 (2007)
372. B.S. Kerner, Transp. Res. Rec. 1999, 30-39 (2007)
373. M. Papageorgiou, J.-M. Blosseville, H. Hadj-Salem, Trans. Res. A. 24, 361-370 (1990)
374. M. Papageorgiou, H. Hadj-Salem, J.-M. Blosseville, Transp. Res. Rec. 1320, 58-64 (1991)
375. M. Papageorgiou, H. Hadj-Salem, F. Middleham, Transp. Res. Rec. 1603, 99-98 (1997)
376. M. Papageorgiou, A. Kotsialos, IEEE Trans. on ITS. 3, 271-281 (2002)
377. E. Smaragdis, M. Papageorgiou, Transp. Res. Rec. 1856, 74-86 (2003)
378. M. Papageorgiou, Y. Wang, E. Kosmatopoulos, I. Papamichail, Traf. Eng. & Cont. 48, 271-276 (2007)
379. M. Papageorgiou, E. Kosmatopoulos, I. Papamichail, Y. Wang, IEEE Trans. on ITS. 9, 360-365 (2008)
380. B.S. Kerner, S.L. Klenov, J. Phys. A: Math. Gen. 35, L31-L43 (2002)
381. B.S. Kerner, S.L. Klenov, D.E. Wolf, J. Phys. A: Math. Gen. 35, 9971-10013 (2002)
382. L.C. Davis, Phys. Rev. E 69, 016108 (2004)
383. B.S. Kerner, S.L. Klenov, J. Phys. A: Math. Gen. 39, 1775-1809 (2006); 7605
384. R. Jiang, Q.-S. Wu, J. Phys. A: Math. Gen. 37, 8197-8213 (2004)
385. H.K. Lee, R. Barlović, M. Schreckenberg, D. Kim, Phys. Rev. Lett. 92, 238702 (2004)
386. K. Gao, R. Jiang, S.-X. Hu, B.-H. Wang, Q.-S. Wu, Phys. Rev. E 76, 026105 (2007)
387. J.A. Laval, in Traffic and Granular Flow' 05. Proceedings of the International Workshop on Traffic and Granular Flow, ed. by A. Schadschneider, T. Pöschel, R. Kühne, M. Schreckenberg, D.E. Wolf. (Springer, Berlin, 2007), pp. 521-526
388. S. Hoogendoorn, H. van Lint, V.L. Knoop, Trans. Res. Rec. 2088, 102-108 (2008)
389. L.C. Davis, Physica A 368, 541-550 (2006)
390. L.C. Davis, Physica A 361, 606-618 (2006)
391. L.C. Davis, Physica A 379, 274-290 (2006)
392. R. Jiang, M.-B. Hua, R. Wang, Q.-S. Wu, Phys. Lett. A 365, 6-9 (2007)
393. R. Jiang, Q.-S. Wu, Phys. Rev. E 72, 067103 (2005)
394. R. Jiang, Q.-S. Wu, Physica A 377, 633-640 (2007)
395. X.G. Li, Z.Y. Gao, K.P. Li, X.M. Zhao, Phys. Rev. E 76, 016110 (2007)
396. A. Pottmeier, C. Thiemann, A. Schadschneider, M. Schreckenberg, in Traffic and Granular Flow' 05. Proceedings of the International Workshop on Traffic and Granular Flow, ed. by A. Schadschneider, T. Pöschel, R. Kühne, M. Schreckenberg, D.E. Wolf. (Springer, Berlin, 2007), pp. 503-508
397. F. Siebel, W. Mauser, Phys. Rev. E 73, 066108 (2006)
398. R. Wang, R. Jiang, Q.S. Wu, M. Liu, Physica A 378, 475-484 (2007)
399. B.S. Kerner, S.L. Klenov, A. Hiller, H. Rehborn, Phys. Rev. E 73, 046107 (2006)
400. B.S. Kerner, S.L. Klenov, A. Hiller, J. Phys. A: Math. Gen. 39, 2001-2020 (2006)
401. B.S. Kerner, S.L. Klenov, A. Hiller, Non. Dyn. 49, 525-553 (2007)
402. B.S. Kerner, J. Phys. A: Math. Theor. 41, 215101 (2008);
403. J. Phys. A: Math. Theor. 369801 (2008)
404. R.M. Colombo, SIAM J. Appl. Math. 63, 708-721 (2003)
405. B.S. Kerner, Phys. Rev. Lett. 81, 3797-3400 (1998);
406. in Proceedings of the 3rd Symposium on Highway Capacity and Level of Service, ed. by R. Rysgaard. Vol 2, (Road Directorate, Ministry of Transport - Denmark, 1998), pp. 621-642;
407. J. Phys. A: Math. Gen. 33, L221- L228 (2000).
408. B.S. Kerner, Trans. Res. Rec. 1678, 160-167 (1999)
409. B.S. Kerner, in Transportation and Traffic Theory, ed. by A. Ceder. (Elsevier Science, Amsterdam 1999), pp. 147-171;
410. Physics World 12, 25-30 (August 1999).
411. B.S. Kerner, S.L. Klenov, Phys. Rev. E 68, 036130 (2003)
412. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004)
413. R. Herman, E.W. Montroll, R.B. Potts, R.W. Rothery, Oper. Res. 7, 86-106 (1959)
414. D.C. Gazis, R. Herman, R.W. Rothery, Oper. Res. 9, 545-567 (1961)
415. E. Kometani, T. Sasaki, J. Oper. Res. Soc. Jap. 2, 11 (1958)
416. E. Kometani, T. Sasaki, Oper. Res. 7, 704-720 (1959)
417. G.F. Newell, Oper. Res. 9, 209-229 (1961)
418. D.C. Gazis, Traffic Theory, (Springer, Berlin, 2002)
419. K. Nagel, M. Schreckenberg, J. Phys. (France) I 2, 2221-2229 (1992)
420. M. Takayasu, H. Takayasu, Fractals 1 860-866 (1993)
421. B.S. Kerner, P. Konhäuser, Phys. Rev. E 48, 2335-2338 (1993)
422. R. Barlović, L. Santen, A. Schadschneider, M. Schreckenberg, Eur. Phys. J. B 5, 793-800 (1998)
423. P.G. Gipps, Trans. Res. B 15, 105-111 (1981)
424. S. Krauß, P. Wagner, C. Gawron, Phys. Rev. E 55, 5597-5602 (1997)
425. B.S. Kerner, S.L. Klenov, J. Phys. A: Math. Gen. 39, 1775-1809 (2006); 7605
426. B.S. Kerner, The Physics of Traffic, (Springer, Berlin, New York, 2004)
427. A.D. May, Traffic Flow Fundamentals, (Prentice-Hall, Inc., New Jersey, 1990)
428. F.A. Haight, Mathematical Theories of Traffic Flow, (Academic Press, New York, 1963)
429. W. Leutzbach Introduction to the Theory of Traffic Flow, (Springer, Berlin, 1988)
430. Highway CapacityManual 2000, (National Research Council, Transportation Research Boad, Washington, D.C., 2000)
431. C.F. Daganzo, Fundamentals of Transportation and Traffic Operations, (Elsevier Science Inc., New York, 1997)
432. R. Wiedemann, Simulation des Verkehrsflusses, (University of Karlsruhe, Karlsruhe, 1974)
433. I. Prigogine, R. Herman, Kinetic Theory of Vehicular Traffic, (American Elsevier, New York, 1971)
434. G.B. Whitham, Linear and Nonlinear Waves, (Wiley, New York, 1974)
435. M. Cremer, Der Verkehrsfluss auf Schnellstrassen, (Springer, Berlin, 1979)
436. N.H. Gartner, C.J. Messer, A.K. Rathi (editors), Traffic Flow Theory: A State-of-the-Art Report, (Transportation Research Board, Washington DC, 2001)
437. D.C. Gazis, Traffic Theory, (Springer, Berlin, 2002)
438. G.F. Newell, Applications of Queuing Theory, (Chapman Hall, London, 1982)
439. M. Papageorgiou, Application of Automatic Control Concepts in Traffic Flow Modeling and Control, (Springer, Berlin, New York, 1983)
440. D.E. Wolf, Physica A 263, 438-451 (1999)
441. D. Chowdhury, L. Santen, A. Schadschneider, Physics Reports 329, 199 (2000)
442. D. Helbing, Rev. Mod. Phys. 73, 1067-1141 (2001)
443. T. Nagatani, Rep. Prog. Phys. 65, 1331-1386 (2002)
444. K. Nagel, P. Wagner, R. Woesler, Oper. Res. 51, 681-716 (2003)
445. R. Mahnke, J. Kaupužs, I. Lubashevsky, Phys. Rep. 408, 1-130 (2005)
446. N. Bellomo, V. Coscia, M. Delitala, Math. Mod. Meth. App. Sc. 12, 1801-1843 (2002)
447. B. Piccoli, A. Tosin, in Encyclopedia of Complexity and System Science, ed. by R.A. Meyers. (Springer, Berlin, 2009), pp. 9727-9749
448. H. Rakha, P. Pasumarthy, S. Adjerid, Transportation Letters, 1, 95-110 (2009)
449. B.S. Kerner, Trans. Res. Rec. 1678, 160-167 (1999)
450. B.S. Kerner, Physics World 12, 25-30 (August 1999)
451. S. Krauß, P. Wagner, C. Gawron, Phys. Rev. E 55, 5597-5602 (1997)
452. K. Nagel, M. Schreckenberg, J. Phys. (France) I 2, 2221-2229 (1992)
453. R. Barlović, L. Santen, A. Schadschneider, M. Schreckenberg, Eur. Phys. J. B 5, 793-800 (1998)