Peter Grossman

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..

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..

Minimal curvature-constrained networks

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

Journal article  |  2018  |  Journal of Global Optimization

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

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. ..

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

Determining the open pit to underground transition: A review of existing methods and a proposed new method

D Whittle, M Brazil, PA Grossman, JH Rubinstein, D THOMAS

Conference Proceedings  |  2016

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

Maximizing the net present value of a Steiner tree

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

Journal article  |  2015  |  Journal of Global Optimization

The theory of Steiner trees has been extensively applied in physical network design problems to locate a Steiner point that minimi..

Optimally locating a junction point for an underground mine to maximise the net present value

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

Journal article  |  2014  |  ANZIAM Journal