The Braess paradox in mechanical, traffic, and other networks

American Journal of Physics

Volumn 71, Issue 5, 2003, Pages 479-482

  Penchina, Claude M ^a,b,c   Penchina, Leora J ^d  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b KING'S COLLEGE LONDON   (United Kingdom)

^c Gilora Associates   (United States)

^d M Wise   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038731304     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1538553     Document Type: Article

References (9)

1. 5 = 3/8 m and W=1/2 N, achieving a 10% decrease in the distance X from the support at the top to the weight at the bottom.
2. D. Braess, "Ueber ein Paradoxen der Verkehrsplannung" ("A paradox of traffic assignment problems"), Unternehmensforschung 12, 258-268 (1968).
3. M. Frank, "The Braess paradox," Math. Program. 20, 283-302 (1981).
4. C. M. Penchina, "Braess paradox: Maximum penalty in a minimal critical network," Transp. Res., Part A: Policy Pract. 31, 379-388 (1997).
5. B. Calvert and G. Keady, "Braess's paradox and power-law nonlinearities in networks," Austral. Math. Soc. Ser. B 35, 1-22 (1993).
6. C. M. Penchina, "Minimal revenue pricing, more good news and bad news," Transp. Res., Part B: Methodol (submitted).
7. C. M. Penchina, "Power-law congestion costs: Minimal revenue pricing and the Braess paradox," Transp. Res., Part B: Methodol (submitted).
8. C. M. Penchina, "On the stability of minimal revenue pricing," Proc. TRB 82nd Annual Meeting, Washington, D.C. Jan. 12-16, 2003, paper 03-3501, 8 pgs., CD-ROM available from Transportation Research Board, 2102 Constitution Ave NW, Washington DC 20418.
9. J. L. Shearer, A. T. Murphy, and H. H. Richardson, Introduction to System Dynamics (Addison-Wesley, Reading, MA, 1967), pp. 45 and 82.