Bounds for the frequency assignment problem

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Lower Bounds for the Quadratic Assignment Problem

We investigate the classical Gilmore-Lawler lower bound for the quadratic assignment problem. We provide evidence of the difficulty of improving the Gilmore-Lawler Bound and develop new bounds by means of optimal reduction schemes. Computational results are reported indicating that the new lower bounds have advantages over previous bounds and can be used in a branch-and-bound type algorithm for...

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In this paper, we consider a frequency assignment problem occurring in a military context. The main originality of the problem pertains to its dynamic dimension: new communications requiring frequency assignments need to be established throughout a deployment. The problem decomposes in three phases: assignment of an initial kernel of communications, dynamic assignment of new communication links...

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Upper and lower bounds for the fixed spectrum frequency assignment problem

Asurvey of the results described in the author’s PhD thesis (Montemanni 2001) is presented. The thesis, which was supervised by Prof. Derek H. Smith and Dr. Stuart M. Allen, has been defended in January 2002 at the University of Glamorgan (U.K.). The thesis proposes new heuristic algorithms, based on well-known metaheuristic paradigms, and new lower bounding techniques, based on linear programm...

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An improved algorithm to determine lower bounds for the fixed spectrum frequency assignment problem

Frequencies have to be assigned to transmitters whenever a radio network is established or modified. This is ideally done is a way which minimises interference in the network. Lower bounds are necessary to establish the effectiveness of the heuristic algorithms used for this task and to assess the quality of the assignments obtained. In the fixed spectrum frequency assignment problem the availa...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1997

ISSN: 0012-365X

DOI: 10.1016/s0012-365x(96)00257-9