Braess paradox: Maximum penalty in a minimal critical network

Transportation Research Part A: Policy and Practice

Volumn 31, Issue 5, 1997, Pages 379-388

  Penchina, Claude M ^a  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; GRAPHIC METHODS; SENSITIVITY ANALYSIS; TOPOLOGY;

BRAESS PARADOX; MINIMAL CRITICAL NETWORK;

MOTOR TRANSPORTATION;

EID: 0031233051     PISSN: 09658564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0965-8564(96)00032-8     Document Type: Article

References (12)

1. Braess, D., (1968) Ueber ein Paradoxen der Verkehrsplanung. Unternehmensforschung 12, 258-268.
2. Dafermos, S. and Nagurney, A. (1984) On some traffic equilibrium theory paradoxes. Transportation Research B 18B(2), 101-110.
3. Daganzo, C. (1996) Private communication.
4. Frank, M. (1981) The Braess Paradox. Mathematical Programming 20, 283-302.
5. Frank, M. (1982) Cost deceptive links on ladder networks. Methods of Operations Research 45, 75-86.
6. Pas, E. I. and Principio, S. L. (1996) Braess' Paradox: Some New Insights, Transportation Research B,(to be published)
7. Penchina, C. M. (1995a) Lecture presentation at the University of Massachusetts, Amherst, MA 01003 U.S.A. (unpublished).
8. Penchina, C. M. (1995b) Toll patterns for transportation networks: on the uniqueness of link-toll policies. Lecture presented at University of Massachusetts, Amherst, MA 01003 U.S.A
9. Steinberg, R. and Stone, R. E. (1988) The prevalence of paradoxes in transportation equilibrium problems. Transportation Science 22, 231-241
10. Steinberg, R. and Zangwill, W. I. (1983) The prevalence of Braess' Paradox. Transportation Science 17, 301-318.
11. Thevenin, M. L. (1883) Sur un nouveau theoreme d'electricite dynamique, Comptes Rendu XCVII, 159-161. This theorem is described in texts on electric circuits, e.g. M.I.T. Staff 'Electric Circuits', J. Wiley, New York (1940).
12. Thevenin, M. L. (1883) Sur un nouveau theoreme d'electricite dynamique, Comptes Rendu XCVII, 159-161. This theorem is described in texts on electric circuits, e.g. M.I.T. Staff 'Electric Circuits', J. Wiley, New York (1940).