Stochastic Frequency Assignment Problem

Wadie Benajam, A. Gaivoronski and Abdel Lisser
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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

Chapter 18 in Stochastic Programming:Applications in Finance, Energy, Planning and Logistics, 2013, pp 487-512 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractWe 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.

Keywords: Stochastic Programming; Optimization with Scenarios; Finance; Energy; Production and Logistics Applications (search for similar items in EconPapers)
Date: 2013
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