Impact of diversity on bounded archives for multi-objective local search
About
This work tackles two critical challenges related to the development of metaheuristics for Multi-Objective Optimization Problems (MOOPs): the exponential growth of non-dominated solutions and the tendency of metaheuristics to disproportionately concentrate their search on a subset of the Pareto Front. To counteract the first, bounded archives are employed as a strategic mechanism for effectively managing the increasing number of non-dominated solutions. Addressing the second challenge involves an in-depth exploration of solution diversity algorithms found in existing literature. Upon recognizing that current approaches predominantly center on diversity within the objective space, this research introduces innovative methods specifically designed to enhance diversity in the solution space. Results demonstrate the efficacy of the Hamming Distance Archiving Algorithm, one of the newly proposed algorithms for multi-objective local search, surpassing the performance of the Adaptive Grid Archiving and the Hypervolume Archiving, both drawn from the literature. This outcome suggests a promising avenue for enhancing the overall efficiency of metaheuristics employed for solving MOOPs.
Related benchmarks
| Task | Dataset | Result | Rank | |
|---|---|---|---|---|
| Archiving for solution diversity | Random instance subset | Ranking (IGD+)4.944 | 20 | |
| Solution diversity | Random instance (test) | Ranking4.667 | 20 | |
| Solution diversity | Euclidean instance subset | Ranking (IGD+)4.833 | 20 | |
| Solution diversity optimization | Cluster instance subset | Ranking (IGD+)5 | 20 | |
| Solution diversity archiving | Cluster instance 1000 nodes | Avg Ranking (HV)1.444 | 5 | |
| Solution diversity archiving | Cluster instance 2000 nodes | Avg Ranking (Hypervolume)1.167 | 5 | |
| Solution diversity archiving | Cluster instance Average across sizes | Avg Ranking (Hypervolume)1.796 | 5 | |
| Solution diversity archiving | Euclidean 1000 nodes | Average Ranking1.556 | 5 | |
| Solution diversity archiving | Cluster instance 500 nodes | Average Ranking (Hypervolume)2.778 | 5 | |
| Solution diversity archiving | Euclidean 500 nodes | Average Ranking2.778 | 5 |