Local search for the Steiner tree problem in the Euclidean plane

M Zachariasen - European Journal of Operational Research, 1999 - Elsevier
Most heuristics for the Steiner tree problem in the Euclidean plane perform a series of
iterative improvements using the minimum spanning tree as an initial solution. We may …

A dynamic adaptive relaxation scheme applied to the Euclidean Steiner minimal tree problem

F Chapeau-Blondeau, F Janez, JL Ferrier - SIAM Journal on Optimization, 1997 - SIAM
The Steiner problem is an NP-hard optimization problem which consists of finding the
minimal-length tree connecting a set of N points in the Euclidean plane. Exact methods of …

Near-optimal Steiner tree computation powered by node embeddings

B Yang, W Zheng - Knowledge and Information Systems, 2023 - Springer
Steiner minimum tree problem on a graph, ie, finding a tree with the minimum weight that
covers the set of terminal nodes, is a classical NP-hard problem. Thus, we develop a method …

On the optimization of 2D path network layouts in engineering designs via evolutionary computation techniques

AC Zăvoianu, S Saminger-Platz, D Entner… - … methods for design …, 2019 - Springer
We describe an effective optimization strategy that is capable of discovering innovative cost-
optimal designs of complete ascent assembly structures. Our approach relies on a …

Directed convergence heuristic: A fast & novel approach to Steiner tree construction

S Chakraverty, A Batra, A Rathi - 2006 IFIP International …, 2006 - ieeexplore.ieee.org
One of the fundamental problems encountered during the VLSI design flow is to find
minimum length nets that connect specific nodes on the chip. The challenge lies in finding …

Multi-objective optimal design of obstacle-avoiding two-dimensional Steiner trees with application to ascent assembly engineering

AC Zăvoianu, S Saminger-Platz… - Journal of …, 2018 - asmedigitalcollection.asme.org
We present an effective optimization strategy that is capable of discovering high-quality cost-
optimal solution for two-dimensional (2D) path network layouts (ie, groups of obstacle …

Multi-objective optimal design of obstacle-avoiding two-dimensional Steiner trees with application to ascent assembly engineering.

AC Zavoianu, S Saminger-Platz… - Journal of …, 2018 - rgu-repository.worktribe.com
We present an effective optimization strategy that is capable of discovering high-quality cost-
optimal solution for two-dimensional (2D) path network layouts (ie, groups of obstacle …

Neural Network Approaches to Solve Various Steiner Tree Problems

G Chakraborty - Steiner Trees in Industry, 2001 - Springer
There is a set of points V= v 1, v 2,…, vn on a Euclidean plane, and the cost of the links
between any two points on the plane is Euclidean distance metric. The Steiner tree problem …

Multi-Objective Optimal Design of Obstacle-Avoiding Two-Dimensional Steiner Trees With Application to Ascent Assembly Engineering

T Prante, M Hellwig, M Schwarz, K Fink - asmedigitalcollection.asme.org
Multi-Objective Optimal Design of Obstacle-Avoiding Two-Dimensional Steiner Trees With
Application to Ascent Assembly Engineerin Page 1 Alexandru-Ciprian Z avoianu1 Department of …

A Neural Network for Determining Subjective Contours

B Bhaumik - Optimality in Biological and Artificial Networks?, 2013 - taylorfrancis.com
Subjective contours are amongst the most interesting of visual illusions, and involve a
perceptual completion of an incomplete image. We first look at dot patterns which give the …