Modeling and solving the rooted distance-constrained minimum spanning tree problem
Computers and Operations Research
A Path Relinking Approach for Delay-Constrained Least-Cost Multicast Routing Problem
ICTAI '07 Proceedings of the 19th IEEE International Conference on Tools with Artificial Intelligence - Volume 01
A Kruskal-Based Heuristic for the Rooted Delay-Constrained Minimum Spanning Tree Problem
Computer Aided Systems Theory - EUROCAST 2009
PPSN'10 Proceedings of the 11th international conference on Parallel problem solving from nature: Part II
IPCO'11 Proceedings of the 15th international conference on Integer programming and combinatoral optimization
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The rooted delay-constrained minimum spanning tree problem is an NP-hard combinatorial optimization problem. The problem appears in practice for example when designing a distribution network with a guarantee of timely delivery. Another example is be a centralized broadcasting network where the delaybound represents a quality of service constraint. We introduce a multilevel-based construction heuristic which uses a new measurement for the suitability of edges to create a solution for the problem. In comparison to existing heuristics the main intention is not to create a minimum cost spanning tree, but a solution with a high potential for further improvement. Experimental results indicate that in most cases our approach produces solutions that after local improvement are of higher quality than those of other existing construction techniques.