Peter Grossman

Minimum Steiner trees on a set of concyclic points and their center

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

Journal article  |  2021  |  INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH

Consider a configuration of points comprising a point q and a set of concyclic points R that are all a given distance r from q in ..

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 and Operations Research

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

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..

Strategic Underground Mine Access Design to Maximise the Net Present Value

M Brazil, K Sirinanda, P Grossman, J Rubinstein, D Thomas

Book Chapter  |  2018

To date, the scheduling and access design of an underground mine have only been considered as two separate optimisation problems. ..

Time delayed discounted Steiner trees to locate two or more discounted Steiner points

Kashyapa Sirinanda, Marcus Brazil, Peter Grossman, Hyam Rubinstein, Doreen Thomas

Journal article  |  2016  |  ANZIAM Journal

Gradient-constrained discounted Steiner trees II: optimally locating a discounted Steiner point

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

Journal article  |  2016  |  JOURNAL OF GLOBAL OPTIMIZATION

A gradient-constrained discounted Steiner tree is a network interconnecting given set of nodes in Euclidean space where the gradie..

Gradient-constrained discounted Steiner trees I: optimal tree configurations

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

Journal article  |  2016  |  Journal of Global Optimization

A gradient-constrained discounted Steiner treeT is a maximum Net Present Value (NPV) tree, spanning a given set N of nodes in spac..