Optimal control of the time-varying flows in networks

Marc Kaltenbach

RAIRO - Operations Research - Recherche Opérationnelle (1981)

  • Volume: 15, Issue: 4, page 335-349
  • ISSN: 0399-0559

How to cite

top

Kaltenbach, Marc. "Optimal control of the time-varying flows in networks." RAIRO - Operations Research - Recherche Opérationnelle 15.4 (1981): 335-349. <http://eudml.org/doc/104795>.

@article{Kaltenbach1981,
author = {Kaltenbach, Marc},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {optimal control; time-varying flows; non-linear dynamical equations; upper limits; link storage capacities; numerical experiments; implicit model; reduced system; gradient; computation of optimal open-loop controls; convergence analysis},
language = {eng},
number = {4},
pages = {335-349},
publisher = {EDP-Sciences},
title = {Optimal control of the time-varying flows in networks},
url = {http://eudml.org/doc/104795},
volume = {15},
year = {1981},
}

TY - JOUR
AU - Kaltenbach, Marc
TI - Optimal control of the time-varying flows in networks
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1981
PB - EDP-Sciences
VL - 15
IS - 4
SP - 335
EP - 349
LA - eng
KW - optimal control; time-varying flows; non-linear dynamical equations; upper limits; link storage capacities; numerical experiments; implicit model; reduced system; gradient; computation of optimal open-loop controls; convergence analysis
UR - http://eudml.org/doc/104795
ER -

References

top
  1. 1. A. SEGALL, Dynamic File Assignment in a Computer Network, I.E.E.E. Trans. Aut. Contr., Vol. AC-21, April 1976, pp. 161-173. Zbl0332.68047MR408963
  2. 2. F. H. MOSS, The Application of Optimal Control Theory to Dynamic Routing in Data Communication Networks, Ph.-D. thesis, M.I.T., February 1977. 
  3. 3. M. JAMSHIDI and W. HEIDARI, Application of Dynamic Programming to Control Khuzestan Water Resources System, Automatica, Vol. 13, No. 3, May 1977, pp. 287-293. 
  4. 4. D. C. GAZIS, Ed., Traffic science, Wiley, 1974. Zbl0309.90020MR334901
  5. 5. K. K. BURHARDT, Urban Traffic System Optimization, Ph.-D. Thesis, Univ. of Minnesota, 1971. Zbl0348.90068
  6. 6. M. KALTENBACH and H. N. Koivo, Modelling and Control of Urban Traffic Flow,Proc. J.A.C.C., Austin, Texas, 1974, pp. 147-154. 
  7. 7. M. G. SINGH and H. TAMURA, Modelling and Hierachical Optimization for Oversaturated Urban Road Traffic Networks, Int. J. Contr., Vol. 20, 1974, pp. 913-934. Zbl0294.90029MR368726
  8. 8. G. C. D'ANS and D. C. GAZIS, Optimal Control of Over-Saturated Store-And-Forward Transportation Networks, Transp. Sci., Vol. 10, February 1976. 
  9. 9. H. TAMURA, Multistage Linear Programming for Discrete Optimal Control with Distributed Lags, Automatica, Vol. 13, No. 4, July 1977, pp. 369-376. Zbl0365.49007
  10. 10. A. P. WIERZBICKI, Reduced Gradient in Multistage Linear Programming, Automatica, Vol. 13, No. 4, July 1977, pp. 441-442. Zbl0354.90054
  11. 11. E. POLAK, Computational Methods in Optimization, Acad. Press, 1971. Zbl0301.90040MR282511
  12. 12. S. E. DREYFUS, The Computational Solution of Optimum Control Problems with Time Lags, I.E.E.E. Trans. Aut. Contr., Vol. AC-18, No. 4, August 1973, pp. 383-385. MR441468
  13. 13. V. H. QUINTANA, E. J. DAVISON, Clipping-Off Gradient Algorithms to Comput Optimal Controls with Constrained Magnitude, Int. J. Contr., Vol. 20, 1974, pp. 243-255. Zbl0291.49023MR355749
  14. 14. J. ABADIE, Application of the GRG Algorithm to Optimal Control Problems, chapt. 8 in Integer and Non linear Programming, J. ABADIE, Ed., North-Holland Pub. Cy.,Amsterdam, 1970. Zbl0332.90040MR437059
  15. 15. H. T. BANKS and A. MANITIUS, Application of Abstract Variational Theory to Hereditary Systems - a Survey, I.E.E.E. Trans. Aut. Contr., Vol. AC-19, October 1974, pp. 524-533. Zbl0288.49004MR433293
  16. 16. C. LEMARECHAL, Nonsmooth Optimization : Toward a Synthesis, Abstracts, Optimization, Days, Ecole Polytechnique, Montreal, May 1978. 
  17. 17. M. KALTENBACH, Modelling and Control of Traffic Networks, Ph.-D. Thesis, U. of Toronto, 1976. 
  18. 18. M. KALTENBACH, Analysis of Queue Dynamics in Area Traffic Network, Research Report, No. 1, 1979. 
  19. 19. M. KALTENBACH, Delay and Kinetic Energy Losses in Dynamic Queues, Research Report, No. 2, 1979. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.