Subgradient optimization, matroid problems and heuristic evaluation

  • F. Maffioli
Mathematical Programming
Part of the Lecture Notes in Computer Science book series (LNCS, volume 41)


Many polynomial complete problems can be reduced efficiently to three matroids intersection problems. Subgradient methods are shown to yield very good algorithms for computing tight lower bounds to the solution of these problems. The bounds may be used either to construct heuristically guided (branch-and-bound) methods for solving the problems, or to obtain an upper bound to the difference between exact and approx imate solutions by heuristic methods. The existing experience tend to indicate that such bounds would be quite precise.


Greedy Algorithm Travel Salesman Problem Subgradient Method Heuristic Evaluation Subgradient Optimization 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • F. Maffioli
    • 1
  1. 1.Istituto di Elettrotecnica ed ElettronicaPolitecnico di MilanoMilanoItaly

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