Most network design problems are computationally intractable. For obtaining approximations, greedy heuristics are commonly employed. The Esau-Williams algorithm adopts a better greedy heuristic in solving (constrained) capacitated minimum spanning tree (CMST) problem, using a trade off function computing the potential saving in the cost of a link. In this study, the component-oriented tradeoff computation is employed instead of the node-oriented one to implement the heuristic efficiently. The improved Esau-Williams algorithm is modified for variations of the CMST problems with order, degree, and depth constraints.
Citation:
H. Dai, S. Fujino, "On Designing Constrained Local Access Networks," ispan, pp.167, 2000 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '00), 2000