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Letter to the Editor---A Variant on the Shortest-Route Problem

Author

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  • George J. Minty

    (Institute for Research in Productivity, Waseda University, Tokyo, Japan)

Abstract

The shortest-route problem has been treated by Dantzig [1] with the simplex-method, by Bellman [2] with ‘dynamic programming,’ and by the author with a simple analog computer [3] and with an algorithm derived from a hydraulic analog (unpublished). There is a simple variant on this problem the solution of which is obvious, and yet it does not fit into the formal structure of any of these theories. I present the problem and its solution less for their intrinsic interest than because they may suggest other solvable problems.

Suggested Citation

  • George J. Minty, 1958. "Letter to the Editor---A Variant on the Shortest-Route Problem," Operations Research, INFORMS, vol. 6(6), pages 882-883, December.
  • Handle: RePEc:inm:oropre:v:6:y:1958:i:6:p:882-883
    DOI: 10.1287/opre.6.6.882
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    Cited by:

    1. Donald Goldfarb & Zhiying Jin, 1999. "An O(nm)-Time Network Simplex Algorithm for the Shortest Path Problem," Operations Research, INFORMS, vol. 47(3), pages 445-448, June.

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