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Integer Programing

In: Mathematical Geosciences

Author

Listed:
  • Joseph L. Awange

    (Curtin University, Department of Spatial Sciences, School of Earth and Planetary Sciences)

  • Béla Paláncz

    (Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering)

  • Robert H. Lewis

    (Fordham University)

  • Lajos Völgyesi

    (Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering)

Abstract

Integer programming as a solution of discrete value problems is introduced. We consider typical types of these problems, such as binary programming, i.e. the set-covering problem. Their solution methods, such as binary countdown, branch and bound, are considered. Special techniques like Gröbner basis methods are also discussed. Techniques to solve mixed integer programming such as local linearization, global linearization via MaCormic Envelopes, and successive nonlinear methods, are used to solve the GNSS phase ambiguity problem.

Suggested Citation

  • Joseph L. Awange & Béla Paláncz & Robert H. Lewis & Lajos Völgyesi, 2023. "Integer Programing," Springer Books, in: Mathematical Geosciences, edition 2, chapter 8, pages 275-317, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-92495-9_8
    DOI: 10.1007/978-3-030-92495-9_8
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