A memetic algorithm and a solution archive for the rooted delay-constrained minimum spanning tree problem

  • Authors:
  • Mario Ruthmair;Günther R. Raidl

  • Affiliations:
  • Institute of Computer Graphics and Algorithms, Vienna University of Technology, Vienna, Austria;Institute of Computer Graphics and Algorithms, Vienna University of Technology, Vienna, Austria

  • Venue:
  • EUROCAST'11 Proceedings of the 13th international conference on Computer Aided Systems Theory - Volume Part I
  • Year:
  • 2011

Quantified Score

Hi-index 0.00

Visualization

Abstract

We present a memetic algorithm for a combinatorial optimization problem called rooted delay-constrained minimum spanning tree problem arising for example in centralized broadcasting networks where quality of service constraints are of concern. The memetic algorithm is based on a specialized solution representation and a simple and effective decoding mechanism. Solutions are locally improved by a variable neighborhood descent in two neighborhood structures. Furthermore, to tackle the problem of repeated examination of already visited solutions we investigate a simple hash-based method to only detect duplicates or, alternatively, a trie-based complete solution archive to additionally derive new unvisited solutions. Experimental results show that our memetic algorithm outperforms existing heuristic approaches for this problem in most cases. Including the hash-based duplicate detection mostly further improves solution quality whereas the solution archive can only rarely obtain better results due to its operational overhead.