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On a Paradox of Traffic Planning

Author

Listed:
  • Dietrich Braess

    (Faculty of Mathematics, Ruhr-University Bochum, 44780 Bochum, Germany)

  • Anna Nagurney

    (Department of Finance and Operations Management, Isenberg School of Management, University of Massachusetts, Amherst, Massachusetts 01003)

  • Tina Wakolbinger

    (Department of Finance and Operations Management, Isenberg School of Management, University of Massachusetts, Amherst, Massachusetts 01003)

Abstract

For each point of a road network, let there be given the number of cars starting from it, and the destination of the cars. Under these conditions one wishes to estimate the distribution of traffic flow. Whether one street is preferable to another depends not only on the quality of the road, but also on the density of the flow. If every driver takes the path that looks most favorable to him, the resultant running times need not be minimal. Furthermore, it is indicated by an example that an extension of the road network may cause a redistribution of the traffic that results in longer individual running times.

Suggested Citation

  • Dietrich Braess & Anna Nagurney & Tina Wakolbinger, 2005. "On a Paradox of Traffic Planning," Transportation Science, INFORMS, vol. 39(4), pages 446-450, November.
    • Handle: RePEc:inm:ortrsc:v:39:y:2005:i:4:p:446-450
    DOI: 10.1287/trsc.1050.0127
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    References listed on IDEAS

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    1. Maurice Pollack & Walter Wiebenson, 1960. "Solutions of the Shortest-Route Problem---A Review," Operations Research, INFORMS, vol. 8(2), pages 224-230, April.
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