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A Strongly Polynomial Algorithm for a Special Class of Linear Programs

Author

Listed:
  • I. Adler

    (University of California, Berkeley, California)

  • S. Cosares

    (Bell Communications Research, Piscataway, New Jersey)

Abstract

We extend the list of linear programming problems that are known to be solvable in strongly polynomial time to include a class of LPs which contains special cases of the generalized transshipment problem. The result is facilitated by exploiting some special properties associated with Leontief substitution systems and observing that a feasible solution to the system, Ax = b , x ≥ 0, in which no variable appears in more than two equations, can be found in strongly polynomial time for b belonging to some set Ω.

Suggested Citation

  • I. Adler & S. Cosares, 1991. "A Strongly Polynomial Algorithm for a Special Class of Linear Programs," Operations Research, INFORMS, vol. 39(6), pages 955-960, December.
    • Handle: RePEc:inm:oropre:v:39:y:1991:i:6:p:955-960
    DOI: 10.1287/opre.39.6.955
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    Cited by:

    1. Atlanta Chakraborty & Vijay Chandru & M. R. Rao, 2020. "A linear programming primer: from Fourier to Karmarkar," Annals of Operations Research, Springer, vol. 287(2), pages 593-616, April.
    2. László A. Végh, 2017. "A Strongly Polynomial Algorithm for Generalized Flow Maximization," Mathematics of Operations Research, INFORMS, vol. 42(1), pages 179-211, January.

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