6533b7d8fe1ef96bd126a2d8

RESEARCH PRODUCT

Heuristics and meta-heuristics for 2-layer straight line crossing minimization

Manuel LagunaRafael Martí

subject

Applied MathematicsGRASPDiscrete Mathematics and CombinatoricsMinificationHeuristicsMetaheuristicAlgorithmGraphTabu searchMathematics

description

AbstractThis paper presents extensive computational experiments to compare 12 heuristics and 2 meta-heuristics for the problem of minimizing straight-line crossings in a 2-layer graph. These experiments show that the performance of the heuristics (largely based on simple ordering rules) drastically deteriorates as the graphs become sparser. A tabu search metaheuristic yields the best results for relatively dense graphs, with a GRASP implementation as close second. Furthermore, the GRASP approach outperforms all other approaches when tackling low-density graphs.

10.1016/s0166-218x(02)00397-9http://dx.doi.org/10.1016/S0166-218X(02)00397-9