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Article Dans Une Revue Engineering Optimization Année : 2016

On scheduling models for the frequency interval assignment problem with cumulative interferences

Résumé

In this paper, models and methods for solving a real-life frequency assignment problem based on scheduling theory are investigated. A realistic frequency assignment problem involving cumulative interference constraints in which the aim is to maximize the number of assigned users is considered. If interferences are assumed to be binary, a multiple carrier frequency assignment problem can be treated as a disjunctive scheduling problem since a user who requests a number of contiguous frequencies can be considered as a non-preemptive task with a processing time and two interfering users can be modeled through a disjunctive constraint on the corresponding tasks. A binary interference version of the problem is constructed and derive a disjunctive scheduling model is derived. Based on the binary representation, two models are proposed. The first one relies on an interference matrix and the second one considers maximal cliques. A third, cumulative, model that yields a new class of scheduling problems is also proposed. Computational experiments show that the case-study frequency assignment problem can be solved efficiently with disjunctive scheduling techniques.
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Dates et versions

hal-01274969 , version 1 (16-02-2016)

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Kata Kiatmanaroj, Christian Artigues, Laurent Houssin. On scheduling models for the frequency interval assignment problem with cumulative interferences. Engineering Optimization, 2016, 48 (5), pp.740-755. ⟨10.1080/0305215X.2015.1056789⟩. ⟨hal-01274969⟩
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