Fast, Fair, and Efficient Flows in Networks

Published Online:https://doi.org/10.1287/opre.1070.0383

References

  • Aronson J. E. A survey of dynamic network flows. Ann. Oper. Res. (1989) 20:1–66CrossrefGoogle Scholar
  • Beccaria G., Bolelli A., Olaussen L., Helli E. Modelling and assessment of dynamic route guidance: The MARGOT project. Proc. 3rd IEEE Vehicle Navigation and Inform. Systems Conf. (1992) Oslo, Norway:117–126CrossrefGoogle Scholar
  • Beckmann M. J., McGuire C. B., Winsten C. B.Studies in the Economics of Transportation (1956) (Yale University Press, New Haven, CT) Google Scholar
  • Braess D. Über ein Paradoxon aus der Verkehrsplanung. Unternehmensforschung (1968) 12:258–268An English translation appeared in Transportation Sci. 39 446–450, 2005CrossrefGoogle Scholar
  • Chakrabarty D., Mehta A., Nagarajan V., Vazirani V., Riedl J., Kearns M. J., Reiter M. K. Fairness and optimality in congestion games. Proc. 6th ACM Conf. Electronic Commerce (EC) (2005) Vancouver, BC, Canada:52–57CrossrefGoogle Scholar
  • Correa J. R., Schulz A. S., Stier-Moses N. E., Bienstock D., Nemhauser G. Computational complexity, fairness, and the price of anarchy of the maximum latency problem. Proc. 10th Internat. Integer Programming and Combin. Optim. Conf.(IPCO), New York. Lecture Notes in Comput. Sci. (2004a) 3064(Springer, Heidelberg, Germany) 59–73CrossrefGoogle Scholar
  • Correa J. R., Schulz A. S., Stier-Moses N. E. Selfish routing in capacitated networks. Math. Oper. Res. (2004b) 29(4):961–976LinkGoogle Scholar
  • Correa J. R., Schulz A. S., Stier-Moses N. E., Jünger M., Kaibel V. On the inefficiency of equilibria in congestion games. Proc. 11th Internat. Integer Programming and Combin. Optim. Conf. (IPCO), Berlin, Germany. Lecture Notes in Computer Science (2005) 3509(Springer, Heidelberg, Germany) 167–181CrossrefGoogle Scholar
  • Czumaj A., Leung J. Selfish routing on the Internet. Handbook of Scheduling: Algorithms, Models, and Performance Analysis, Chapman & Hall/CRC Computer and Information Science Series (2004) 1(CRC Press, Boca Raton, FL) . chapter 42Google Scholar
  • Czumaj A., Vöcking B. Tight bounds for worst-case equilibria. Proc. 13th Annual ACM-SIAM Sympos. Discrete Algorithms (SODA) (2002) San Francisco, CA(SIAM, Philadelphia, PA) 413–420Google Scholar
  • Czumaj A., Krysta P., Vöcking B. Selfish traffic allocation for server farms. Proc. 34th Annual ACM Sympos. Theory of Comput. (STOC) (2002) Montreal, Canada(ACM Press, New York) 287–296CrossrefGoogle Scholar
  • Dafermos S. C., Sparrow F. T. The traffic assignment problem for a general network. J. Res. U.S. National Bureau of Standards (1969) 73B:91–118CrossrefGoogle Scholar
  • Fleischer L., Skutella M. Quickest flows over time. SIAM J. Comput. (2007) 36(6):1600–1630CrossrefGoogle Scholar
  • Ford L. R., Fulkerson D. R. Constructing maximal dynamic flows from static flows. Oper. Res. (1958) 6:419–433LinkGoogle Scholar
  • Grötschel M., Lovász L., Schrijver A.Geometric Algorithms and Combinatorial Optimization (1993) (Springer, Berlin, Germany) CrossrefGoogle Scholar
  • Hoppe B., Tardos É. Polynomial time algorithms for some evacuation problems. Proc. 5th Annual ACM-SIAM Sympos. Discrete Algorithms (SODA) (1994) Arlington, VA(SIAM, Philadelphia, PA) 433–441Google Scholar
  • Jahn O., Möhring R. H., Schulz A. S., Stier-Moses N. E. System-optimal routing of traffic flows with user constraints in networks with congestion. Oper. Res. (2005) 53(4):600–616LinkGoogle Scholar
  • Jarvis J. J., Ratliff H. D. Some equivalent objectives for dynamic network flow problems. Management Sci. (1982) 28(1):106–109LinkGoogle Scholar
  • Köhler E., Skutella M. Flows over time with load-dependent transit times. SIAM J. Optim. (2005) 15(4):1185–1202CrossrefGoogle Scholar
  • Koutsoupias E., Papadimitriou C. H., Meinel C., Tison S. Worst-case equilibria. Proc. 16th Annual Sympos. Theoret. Aspects Comput. Sci. (STACS), Trier, Germany. Lecture Notes in Computer Science (1999) 1563(Springer, Heidelberg, Germany) 404–413CrossrefGoogle Scholar
  • Koutsoupias E., Mavronicolas M., Spirakis P. Approximate equilibria and ball fusion. Theory Comput. Systems (2003) 36(6):683–693CrossrefGoogle Scholar
  • Lin H., Roughgarden T., Tardos É., Walkover A., Caires L., Italiano G. F., Monteiro L., Palamidessi C., Yung M. Braess’s paradox, Fibonacci numbers, and exponential inapproximability. Automata, Languages and Programming: Proc. 32nd Internat. Colloquium (ICALP), Lisboa, Portugal. Lecture Notes in Computer Science (2005) 3580(Springer, Heidelberg, Germany) 497–512CrossrefGoogle Scholar
  • Mavronicolas M., Spirakis P. The price of selfish routing. Proc. 33rd Annual ACM Sympos. Theory Comput. (STOC) (2001) Hersonissos, Greece(ACM Press, New York) 510–519CrossrefGoogle Scholar
  • Papadimitriou C. H. Algorithms, games, and the Internet. Proc. 33rd Annual ACM Sympos. Theory Comput. (STOC) (2001) Hersonissos, Greece(ACM Press, New York) 749–753CrossrefGoogle Scholar
  • Potra F., Ye Y. A quadratically convergent polynomial algorithm for solving entropy optimization problems. SIAM J. Optim. (1993) 3(4):843–860CrossrefGoogle Scholar
  • Powell W. B., Jaillet P., Odoni A., Ball M. O., Magnanti T. L., Monma C. L., Nemhauser G. L. Stochastic and dynamic networks and routing. Networks. Handbooks in Operations Research and Management Science (1995) 4(Elsevier Science, Amsterdam, The Netherlands) 141–295Google Scholar
  • Qiu L., Yang Y. R., Zhang Y., Shenker S. On selfish routing in Internet-like environments. IEEE/ACM Trans. Netw. (2006) 14(4):725–738CrossrefGoogle Scholar
  • Roughgarden T. How unfair is optimal routing? Proc. 13th Annual ACM-SIAM Sympos. Discrete Algorithms (SODA) (2002) San Francisco, CA(SIAM, Philadelphia, PA) 203–204Google Scholar
  • Roughgarden T. Personal communication. (2003a) Google Scholar
  • Roughgarden T. The price of anarchy is independent of the network topology. J. Comput. System Sci. (2003b) 67:341–364CrossrefGoogle Scholar
  • Roughgarden T. The maximum latency of selfish routing. Proc. 15th Annual ACM-SIAM Sympos. Discrete Algorithms (SODA) (2004) New Orleans, LA(SIAM, Philadelphia, PA) 973–974Google Scholar
  • Roughgarden T., Tardos É. How bad is selfish routing? J. ACM (2002) 49:236–259CrossrefGoogle Scholar
  • Schrijver A.Theory of Linear and Integer Programming (1998) (J. Wiley & Sons, New York) Google Scholar
  • Schulz A. S., Stier-Moses N. E. On the performance of user equilibria in traffic networks. Proc. 14th Annual ACM-SIAM Sympos. Discrete Algorithms (SODA) (2003) Baltimore, MD(SIAM, Philadelphia, PA) 86–87Google Scholar
  • Vavasis S. A.Nonlinear Optimization: Complexity Issues (1991) (Oxford University Press, New York) Google Scholar
  • Wardrop J. G. Some theoretical aspects of road traffic research. Proc. Institution Civil Engineers, Part II (1952) 1:325–378CrossrefGoogle Scholar
  • Weitz D. The price of anarchy. (2001) . Unpublished manuscript, University of California, Berkeley, CAGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.