Joachim Rubinstein

Solving the prize-collecting Euclidean Steiner tree problem

David Whittle, Marcus Brazil, Peter A Grossman, J Hyam Rubinstein, Doreen A Thomas

Journal article  |  2020  |  International Transactions in Operational Research

The prize-collecting Euclidean Steiner tree (PCEST) problem is a generalization of the well-known Euclidean Steiner tree (EST) pro..

OPTIMAL LOCATION of AN UNDERGROUND CONNECTOR USING DISCOUNTED STEINER TREE THEORY

KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2020  |  ANZIAM Journal

The objective of this paper is to demonstrate that the gradient-constrained discounted Steiner point algorithm (GCDSPA) described ..

Scheduling the construction of value and discount weighted trees for maximum net present value

PA Grossman, M Brazil, JH Rubinstein, DA Thomas

Journal article  |  2020  |  Computers & Operations Research

Given a binary rooted tree in which each edge has an associated value and an associated discount factor, the problem addressed her..

Optimum ramp design in open pit mines

JL Yarmuch, M Brazil, H Rubinstein, DA Thomas

Journal article  |  2020  |  Computers & Operations Research

The problem studied in this paper is that of designing the optimal open pit haulage ramp that, for a given ramp width and a maximu..

Multisections of Piecewise Linear Manifolds

J Hyam Rubinstein, Stephan Tillmann

Journal article  |  2020  |  Indiana University Mathematics Journal

Z(2)-Thurston norm and complexity of 3-manifolds, II

William Jaco, J Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann

Journal article  |  2020  |  Algebraic & Geometric Topology

In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of a closed 3–manifold, as well ..

Computing trisections of 4-manifolds

Mark Bell, Joel Hass, Joachim Hyam Rubinstein, Stephan Tillmann

Journal article  |  2018  |  Proceedings of the National Academy of Sciences of the United States of America

We describe an algorithm to compute trisections of orientable four-manifolds using arbitrary triangulations as input. This results..

Generalized trisections in all dimensions

J Hyam Rubinstein, Stephan Tillmann

Journal article  |  2018  |  Proceedings of the National Academy of Sciences of the United States of America

This paper describes a generalization of Heegaard splittings of 3-manifolds and trisections of 4-manifolds to all dimensions, usin..

Minimal curvature-constrained networks

D Kirszenblat, KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2018  |  Journal of Global Optimization

This paper introduces an exact algorithm for the construction of a shortest curvature-constrained network interconnecting a given ..

Combined optimisation of an open-pit mine outline and the transition depth to underground mining

D Whittle, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2018  |  European Journal of Operational Research

Miners harvest minerals from ore-bodies in the ground by a variety of specialised mining methods, with most falling into the categ..