Anticipative control of switched queueing systems

European Physical Journal B

Volumn 63, Issue 3, 2008, Pages 341-347

  Lammer S ^a   Donner, R ^a   Helbing, D ^b,c  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b ETH ZURICH   (Switzerland)

^c INSTITUTE FOR ADVANCED STUDY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE STATES; HYBRID DYNAMICAL SYSTEM; QUEUEING PROCESSES; QUEUEING SYSTEMS; SET-UP TIME; STRATEGIC CONTROL; SWITCHING TIME; TIME HORIZONS; TRAFFIC LIGHTS; TRANSPORTATION DELAYS; WAITING-TIME;

CONTROL SYSTEMS; DYNAMICAL SYSTEMS; SCHRODINGER EQUATION;

QUEUEING THEORY;

EID: 49249083712     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2007-00346-5     Document Type: Article

References (22)

1. T. Nagatani, Rep. Progr. Phys. 65, 1331 (2002)
2. D. Helbing, Rev. Mod. Phys. 73, 1067 (2001)
3. J. Perkins, P.R. Kumar, IEEE Trans. Automat. Control 34, 139 (1989)
4. D. Helbing, S. Lämmer, in Networks of Interacting Machines: Production Organization in Complex Industrial Systems and Biological Cells, edited by D. Armbruster, A. Mikhailov, K. Kaneko (World Scientific, Singapore, 2005), pp. 33-66
5. D. Helbing, S. Lämmer, J.P. Lebacque, in Optimal Control and Dynamic Games, edited by C. Deissenberg, R.F. Hartl (Springer, Dortrecht, 2005), pp. 239-274
6. S. Lämmer, Ph.D. thesis, University of Technology, Dresden, 2007
7. T. van Woensel, N. Vandaele, Asia-Pacific J. Oper. Res. (accepted) (2006)
8. G.F. Newell, Applications of queueing theory (Chapman and Hall, 1971)
9. S.K. Bose, An Introduction to Queueing Systems (Springer, 2001)
10. R.J. Troutbeck, Transportation Sci. 20, 272 (1986)
11. B. de Schutter, B. de Moor, in Hybrid Systems V, edited by P. Antsaklis, W. Kohn, M. Lemmon, A. Nerode, S. Sastry (Springer-Verlag, Berlin, 1999), Vol. 1567 of Lecture Notes in Computer Science, pp. 70-85
12. B. de Schutter, Eur. J. Oper. Res. 139, 400 (2002)
13. G.F. Newell, Oper. Res. 7, 589 (1959)
14. P.G. Michalopoulos, V. Pisharody, Transportation Sci. 14, 365 (1980)
15. M. McDonald, N.B. Hounsell, in Concise Encyclopedia of Traffic & Transportation Systems, edited by M. Papageorgiou (Pergamon, Exeter, 1991), Advances in Systems Control and Information Engineering, pp. 400-408
16. G.F. Newell, The effect of queues on the traffic assignment to freeways, in Proc. 7th Int. Symposium on Transportation and Traffic Theory, edited by T. Sasaki, T. Yamaoka (Institute of Systems Science Research, Kyoto, Japan, 1977), pp. 311-340
17. C.F. Daganzo, Transportation Sci. 32, 3 (1998)
18. D. Helbing, J. Siegmeier, S. Lämmer, Networks and Heterogeneous Media 2, 193 (2007)
19. A.V. Savkin, Controllability of complex switched server queueing networks modelled as hybrid dynamical systems, in Proc. 37th IEEE Conf. Decis. & Control, Vol. 4, 4289 (1998)
20. A.V. Savkin, R.J. Evans, Hybrid Dynamical Systems (Birkhäuser, Boston, 2002)
21. B. de Schutter, SIAM J. Control Optim. 39, 835 (2000)
22. G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists, 4th edn. (Academic Press, 1995)