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Tabu Search For Graph Coloring, TColorings And Set TColorings
, 1998
"... In this paper, a generic tabu search is presented for three coloring problems: graph coloring, Tcolorings and set Tcolorings. This algorithm integrates important features such as greedy initialization, solution regeneration, dynamic tabu tenure, incremental evaluation of solutions and constraint ..."
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Cited by 36 (10 self)
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In this paper, a generic tabu search is presented for three coloring problems: graph coloring, Tcolorings and set Tcolorings. This algorithm integrates important features such as greedy initialization, solution regeneration, dynamic tabu tenure, incremental evaluation of solutions and constraint handling techniques. Empirical comparisons show that this algorithm approaches the best coloring algorithms and outperforms some hybrid algorithms on a wide range of benchmarks. Experiments on large random instances of Tcolorings and set Tcolorings show encouraging results.
An ANT Heuristic for the Frequency Assignment Problem
 Future Generation Computer Systems
, 1999
"... The problem considered in this paper consists in defining an assignment of frequencies to radio links, to be established between base stations and mobile transmitters, which minimizes the global interference over a given region. This problem is NPhard and few results have been reported on techni ..."
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Cited by 21 (2 self)
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The problem considered in this paper consists in defining an assignment of frequencies to radio links, to be established between base stations and mobile transmitters, which minimizes the global interference over a given region. This problem is NPhard and few results have been reported on techniques for solving it to optimality. We have applied to this version of the frequency assignment problem an ANTS metaheuristic, that is an approach following the ACO optimization paradigm. Computational results, obtained on a number of standard problem instances, testify the effectiveness of the proposed approach. 1. Introduction The introduction of mobile communication, such as portable phones, has a tremendous impact on everyday life. Mobility raises a number of research questions: for many of them discrete models and algorithms are required in order to solve the underlying mathematical problem. The Ant Colony Optimization paradigm (ACO) [Dorigo and Di Caro, 1999], [Maniezzo and Carbo...
Discrete mathematics and radio channel assignment, in “Recent advances in theoretical and applied discrete mathematics
"... The radio channel assignment problem has recently sparked off much research in discrete applied mathematics, based on models that extend the idea of graph colouring. This is the subject of the present chapter. 1 ..."
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Cited by 19 (0 self)
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The radio channel assignment problem has recently sparked off much research in discrete applied mathematics, based on models that extend the idea of graph colouring. This is the subject of the present chapter. 1
Experiments with a randomized algorithm for a frequency assignment problem
 ECOLE NORMALE SUP'ERIEURE DE LYON
, 1997
"... The problems of assigning frequencies to transmitters can be naturally modelled by generalizations of graph coloring problems. We start with a randomized graph coloring algorithm of Petford and Welsh and propose a randomized algorithm for minimizing the number of constraints violated when a set of f ..."
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Cited by 5 (0 self)
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The problems of assigning frequencies to transmitters can be naturally modelled by generalizations of graph coloring problems. We start with a randomized graph coloring algorithm of Petford and Welsh and propose a randomized algorithm for minimizing the number of constraints violated when a set of frequencies available is xed. Experiments on instances of various types relevant to mobile communication networks are reported.
Upper Bounds for the Span in Triangular Lattice Graphs: Application to Frequency Planning for Cellular Network
, 1997
"... We study a problem coming from the design of wireless cellular radiocommunication network. Frequency planning constraints are modelled in terms of graph theory. For each planning function f let us call sp(f)  or the span of the frequency planning f  the difference between the largest and the s ..."
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Cited by 3 (0 self)
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We study a problem coming from the design of wireless cellular radiocommunication network. Frequency planning constraints are modelled in terms of graph theory. For each planning function f let us call sp(f)  or the span of the frequency planning f  the difference between the largest and the smallest frequency used. Let the Order of the graph be Or(G) = sp(G)+1 and the maximal local order of the graph the maximum order of a clique of G, i.e. M lo(G) = max X clique of G sp(X). We show: M lo(G) sp(G) 8d Mlo(G) 6 e.
Bumblebees: a multiagent combinatorial optimization algorithm inspired by social insect behaviour
 In Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation, GEC ’09
, 2009
"... This paper introduces a multiagent optimization algorithm inspired by the collective behavior of social insects. In our method, each agent encodes a possible solution of the problem to solve, and evolves in a way similar to real life insects. We test the algorithm on a classical difficult problem, ..."
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Cited by 2 (0 self)
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This paper introduces a multiagent optimization algorithm inspired by the collective behavior of social insects. In our method, each agent encodes a possible solution of the problem to solve, and evolves in a way similar to real life insects. We test the algorithm on a classical difficult problem, the kcoloring of a graph, and we compare its performance in relation to a standard genetic algorithm and another multiagent system. The results show that this algorithm is faster and outperforms the other methods for a range of random graphs with different orders and densities. Moreover, the method is easy to adapt to solve different NPcomplete problems.
Kl Frequency Assignment: Methods and Algorithms
"... In this tutorial paper the representation of the frequency assignment problem as a generalised graph colouring problem is presented. Both minimum span and fixed spectrum problems are described. A number of algorithmic approaches are outlined, with particular emphasis given to simulated annealing ..."
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In this tutorial paper the representation of the frequency assignment problem as a generalised graph colouring problem is presented. Both minimum span and fixed spectrum problems are described. A number of algorithmic approaches are outlined, with particular emphasis given to simulated annealing and tabu search. Hybrids of these algorithms with sequential algorithms and ap proaches based on subgraphs are also mentioned. The use of lower bounds to evaluate algorithms and assignments is explained. Finally, consideration is given to the effectiveness of the generalised graph colouring approach. An alternative ap preach using nonbinary constraints is described and a method of generating lower bounds for this nonbinary model is introduced. 2