Peter Grossman

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

Improving Underground Mine Access Layouts Using Software Tools

Marcus Brazil, Peter Grossman, J Hyam Rubinstein, Doreen Thomas

Journal article  |  2014  |  Interfaces

Strategic Underground Mine Access Design to Maximise the Net Present Value

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

Conference Proceedings  |  2014

Demonstrating Efficiency Gains from Installing Truck Turntables at Crushers

M Brazil, PA Grossman, JH Rubinstein, DA THOMAS

Conference Proceedings  |  2014

MINIMAL CURVATURE-CONSTRAINED PATHS IN THE PLANE WITH A CONSTRAINT ON ARCS WITH OPPOSITE ORIENTATIONS

PA Grossman, M Brazil, JH Rubinstein, DA Thomas

Journal article  |  2013  |  International Journal of Computational Geometry and Applications

Application of graph theory algorithms to detect multiple recirculation paths

EI Acuna, PA Grossman, JH Rubinstein

Conference Proceedings  |  2012  |  14th United States/North American Mine Ventilation Symposium, 2012

Optimal design of an underground mine decline with an associated vent raise

PA Grossman, MN Brazil, JH Rubinstein, DA Thomas

Conference Proceedings  |  2012  |  Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012)

Access Optimisation Tools in Underground Mine Design

M BRAZIL, P GROSSMAN, D LEE, J RUBINSTEIN, D THOMAS, NC Wormald

Conference Proceedings  |  2009  |  International Symposium. Orebody Modelling and Strategic Mine Planning: Old and New Dimensions in a Changing World

Decline design in underground mines using constrained path optimisation

M Brazil, PA Grossman, DH Lee, JH Rubinstein, DA Thomas, NC Wormald

Journal article  |  2008  |  Transactions of the Institutions of Mining and Metallurgy, Section A: Mining Technology

Access layout optimisation for underground mines

M BRAZIL, P GROSSMAN

Conference Proceedings  |  2008  |  Proceedings of the 2008 Australian Mining Technology Conference 'Smart Technologies for Sustaining the Minerals Boom'

Constrained path optimisation for underground mine layout

M Brazil, PA Grossman, DH Lee, JH Rubinstein, DA Thomas, NC Wormald

Conference Proceedings  |  2007  |  The World Congress on Engineering 2007 (WCE 2007): Lecture Notes in Engineering and Computer Science)

DOT (Decline Optimisation Tool)

P GROSSMAN, N Wormald

Software / Code  |  2006

Discrete mathematics for computing

P GROSSMAN

Book  |  2002

A Note on Local Polynomial Functions on Commutative Semigroups

PA Grossman

Journal article  |  1982  |  Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

AbstractGiven a universal algebra A, one can define for each positive integer n the set of functions on A which can be “interpolat..

Local polynomial functions on semilattices

PA Grossman

Journal article  |  1981  |  Journal of Algebra