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Graph-based algorithms for the efficient solution of optimization problems involving monotone functions

Author

Listed:
  • Luca Consolini

    (Università degli Studi di Parma)

  • Mattia Laurini

    (Università degli Studi di Parma)

  • Marco Locatelli

    (Università degli Studi di Parma)

Abstract

In this paper, we address a class of specially structured problems that include speed planning, for mobile robots and robotic manipulators, and dynamic programming. We develop two new numerical procedures, that apply to the general case and to the linear subcase. With numerical experiments, in the linear case we show that the proposed algorithms outperform generic commercial solvers.

Suggested Citation

  • Luca Consolini & Mattia Laurini & Marco Locatelli, 2019. "Graph-based algorithms for the efficient solution of optimization problems involving monotone functions," Computational Optimization and Applications, Springer, vol. 73(1), pages 101-128, May.
    • Handle: RePEc:spr:coopap:v:73:y:2019:i:1:d:10.1007_s10589-019-00070-4
    DOI: 10.1007/s10589-019-00070-4
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    References listed on IDEAS

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    1. M. E. J. Newman & D. J. Watts, 1999. "Renormalization Group Analysis of the Small-World Network Model," Working Papers 99-04-029, Santa Fe Institute.
    2. Federico Cabassi & Luca Consolini & Marco Locatelli, 2018. "Time-optimal velocity planning by a bound-tightening technique," Computational Optimization and Applications, Springer, vol. 70(1), pages 61-90, May.
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