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Stochastic Frequency Assignment Problem

In: Stochastic Programming Applications in Finance, Energy, Planning and Logistics

Author

Listed:
  • Wadie Benajam

    (LRI, Université Paris-Sud. PCRI, Bat. 650, Rue Noetzlin, 91190 Gif-sur-Yvette, France)

  • A. Gaivoronski

    (Department of Industrial Economy and Technology Management, Norwegian University of Science and Technology, Trondheim, Norway)

  • Abdel Lisser

    (LRI, Université Paris-Sud. PCRI, Bat. 650, Rue Noetzlin, 91190 Gif-sur-Yvette, France)

Abstract

We consider the Frequency Assignment Problem (FAP) in the case when the important components of problem formulation are uncertain and can be modelled by random variables. In particular, we look at the case when the interference between sources and/or demand for frequences have random nature. Several optimization models which belong to stochastic programming approach are considered. Solution schemes based on semidefinite relaxations are developed. Presented results including numerical experiments confirm that stochastic programming modeling tools coupled with semidefinite relaxations constitute a promising approach for solving frequency assignment problems under uncertainty.

Suggested Citation

  • Wadie Benajam & A. Gaivoronski & Abdel Lisser, 2013. "Stochastic Frequency Assignment Problem," World Scientific Book Chapters, in: Horand I Gassmann & William T Ziemba (ed.), Stochastic Programming Applications in Finance, Energy, Planning and Logistics, chapter 18, pages 487-512, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789814407519_0018
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