- Colour Reassignment in Tabu Search for the Graph Set T-Colouring Problem.
- Marco Chiarandini, Thomas Stützle, and Kim S. Larsen.
In 3rd International Workshop on Hybrid Metaheuristics (HM), volume 4030 of Lecture Notes in Computer Science, pages 162-177. Springer, 2006.
The graph set T
-colouring problem (GSTCP) is a generalisation of the
classical graph colouring problem and it is used to model, for
example, the assignment of frequencies in mobile networks. The GSTCP
asks for the assignment of sets of nonnegative integers to the
vertices of a graph so that constraints on the separation of any two
numbers assigned to a single vertex or to adjacent vertices are
satisfied and some objective function is optimised. Among the various
objective functions of interest, we focus on the minimisation of the
span, that is, the difference between the largest and the smallest
In practical applications large size instances of the GSTCP are to be
solved and heuristic algorithms become necessary. In this article, we
propose a new hybrid procedure for the solution of the GSTCP that
combines a known tabu search algorithm with an algorithm for the
enumeration of all feasible re-assignments of colours to a vertex.
We compare the new algorithm with the basic tabu search algorithm and
for both we study possible variants. The experimental comparison,
supported by statistical analysis, establishes that the new hybrid
algorithm performs better on a variety of instance classes.
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