Name
Title | ||
|---|---|---|
A Parameterised Complexity Analysis of Bi-level Optimisation with Evolutionary Algorithms. |
Abstract | ||
|---|---|---|
Bi-level optimisation problems have gained increasing interest in the field of combinatorial optimisation in recent years. In this paper, we analyse the runtime of some evolutionary algorithms for bi-level optimisation problems. We examine two NP-hard problems, the generalised minimum spanning tree problem (GMSTP), and the generalised travelling salesman problem (GTSP) in the context of parameterised complexity. For the generalised minimum spanning tree problem, we analyse the two approaches presented by Hu and Raidl (2012) with respect to the number of clusters that distinguish each other by the chosen representation of possible solutions. Our results show that a (1+1) EA working with the spanning nodes representation is not a fixedparameter evolutionary algorithm for the problem, whereas the problem can be solved in fixed-parameter time with the global structure representation. We present hard instances for each approach and show that the two approaches are highly complementary by proving that they solve each other's hard instances very efficiently. For the generalised travelling salesman problem, we analyse the problem with respect to the number of clusters in the problem instance. Our results show that a (1+1) EA working with the global structure representation is a fixed-parameter evolutionary algorithm for the problem. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1162/EVCO_a_00147 | Evolutionary computation |
Keywords | Field | DocType |
bi-level optimisation,combinatorial optimisation,evolutionary algorithms | Memetic algorithm,Cluster (physics),Mathematical optimization,Global structure,Evolutionary algorithm,Artificial intelligence,Evolutionary programming,Machine learning,Mathematics,Minimum spanning tree | Journal |
Volume | Issue | ISSN |
abs/1401.1905 | 1 | 1530-9304 |
Citations | PageRank | References |
3 | 0.42 | 17 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dogan Corus | 1 | 57 | 5.79 |
| Per Kristian Lehre | 2 | 627 | 42.60 |
| Frank Neumann | 3 | 1727 | 124.28 |
| Mojgan Pourhassan | 4 | 9 | 4.92 |
| LehrePer Kristian | 5 | 3 | 0.42 |