A CAD approach to the minimum weight design problem
✍ Scribed by Björn J. D. Esping
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 492 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
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## Abstract Given a graph where increasing the weight of an edge has a nondecreasing convex piecewise linear cost, we study the problem of finding a minimum cost increase of the weights so that the value of all minimum spanning trees is equal to some target value. Frederickson and Solis‐Oba gave an
In this paper, we present a branch-and-cut algorithm for the exact solution of an NP-hard extension of the well-known Minimum-Weight Arborescence (MWA) problem, in which resource constraints for each node are considered. This Resource-Constrained Minimum-Weight Arborescence (RMWA) problem arises, e.