Prof. Jan H. van Vuuren

(Reading, Writing, Speaking)

ARMSCOR SA: Focus Area Development Grant, SA R 480,000, 2009 to 2009.
South African National Research Foundation: GUN 2072815, SA R 82,800, 2007 to 2007.
ARMSCOR SA: Focus Area Development Grant, SA R 1,078,000, 2006 to 2008.
South African National Research Foundation: GUN 2072815, SA R 127,000, 2005 to 2005.
South African National Research Foundation: GUN 2053755, SA R 171,000, 2003 to 2004.
University of Stellenbosch: Research Sub-Comittee B Grant, SA R 25,000, 2003 to 2004.
University of Stellenbosch: Research Sub-Comittee B Grant, SA R 50,000, 2001 to 2002.
University of Stellenbosch: Research Sub-Comittee B Grant, SA R 32,000, 1999 to 2000.

• FG Ortmann, N Ntene, JH van Vuuren (2010) New and Improved Level Heuristics for the Rectangular Strip Packing and Variable-sized Bin Packing Problems, European Journal of Operational Research, 203, 306-315
• AP Burger, MA Henning, JH van Vuuren (2009) On the Ratios between Packing and Domination Parameters of a Graph, Discrete Mathematics, 309 (1), 2473-2478
• AP Burger, JH van Vuuren (2009) Die Skedulering van Gade-vermydende Gemengde-dubbels Rondomtalie-tennistoernooie, Suid-Afrikaanse Tydskrif vir Wetenskap en Tegnologie, 28 (1), 35-63
• N Ntene, JH van Vuuren (2009) A Survey and Comparison of Guillotine Heuristics for the 2D Oriented Offline Strip Packing Problem, Discrete Optimization, 6, 174-188
• DN Raad, A Sinske, JH van Vuuren (2009) Robust Multi-objective Optimization for Water Distribution System Design using a Meta-metaheuristic, International Transactions in Operational Research, 16 (5), 595-626
• N Ntene, JH van Vuuren (2008) A Survey and Comparison of Heuristics for the 2D Oriented On-line Strip Packing Problem, ORiON, 24 (2), 157-183
• AP Burger, JH van Vuuren (2008) On the Placement of a Number of Strings in a Collection of Hats, Quaestiones Mathematicae, 31, 359-373
• AP Burger, MA Henning, JH van Vuuren (2008) Vertex Covers and Secure Domination in Graphs, Quaestiones Mathematicae, 31, 163-171
• AP Burger, JH van Vuuren (2008) On the (r,s) Domination Number of a Graph, Ars Combinatoria, 88, 257-271
• AP Burger, PJP Grobler, I Nieuwoudt, JH van Vuuren (2008) On an Open Problem in Defective Graph Colourings, Utilitas Mathematica, 76, 65-77
• JN Roux, JH van Vuuren (2008) Real-time Threat Evaluation in a Ground Based Air Defence Environment, ORiON, 24 (1), 75-101
• AP Burger, WR Grundlingh, JH van Vuuren (2008) Two Combinatorial Problems Involving Lottery Schemes: Characterising Solution Set Structures, Utilitas Mathematica, 75, 97-124
• AP Burger, JH van Vuuren (2007) Balanced Minimum Covers of a Finite Set, Discrete Mathematics, 307 (22), 2853-2860
• AP Burger, JH van Vuuren (2007) Enumerating Optimal Solutions to Special Instances of the Lottery Problem, Journal of Combinatorial Mathematics and Combinatorial Computing, 63, 47-63
• JN Roux, JH van Vuuren (2007) Threat Evaluation and Weapon Assignment Decision Support: A Review of the State of the Art, ORiON, 23 (2), 151-186
• AP Burger, I Nieuwoudt, JH van Vuuren (2007) On the Delta-chromatic Number of a Complete Balanced Multipartite Graph, ORiON, 23 (1), 29-49
• AP Burger, WR Grundlingh, JH van Vuuren (2007) Towards a Characterisation of Lottery Set Overlapping Structures, Ars Combinatoria, 84, 105-128
• MJ Bester, I Nieuwoudt, JH van Vuuren (2007) Finding Good Nursing Duty Schedules: a Case Study, Journal of Scheduling, 10 (6), 387-405
• NA Pantland, JH van Vuuren (2006) Die Suid-Afrikaanse uitgebreide maritieme gebied: 'n Alternatiewe metode vir die bepaling van die voet van die kontinentale helling, Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie, 25 (4), 248-264
• FG Ortmann, FE van Dyk, JH van Vuuren (2006) Modelling the South African Fruit Export Infrastructure: A Case Study, ORiON, 22 (1), 35-57
• EJ Cockayne, G Geldenhuys, PJP Grobler, CM Mynhardt, JH van Vuuren (2006) The Depression of a Graph, Utilitas Mathematica, 69, 143-160
• AP Burger, WR Grundlingh, JH van Vuuren (2006) On the Optimality of Belic's Lottery Design Listings, Journal of Combinatorial Mathematics and Combinatorial Computing, 56, 83-100
• S Benecke, PJP Grobler, JH van Vuuren (2006) Protection of Complete Multipartite Graphs, to Appear in Utilitas Mathematica, Utilitas Mathematica, 71, 161-168
• AP Burger, WR Grundlingh, JH van Vuuren (2006) Two Combinatorial Problems Involving Lottery Schemes: Algorithmic Determination of Solution Sets, Utilitas Mathematica, 70, 33-70
• GW Groves, J le Roux, JH van Vuuren (2005) On a Routing & Scheduling Problem Concerning Multiple Edge Traversals in Graphs, Networks, 46 (2), 69-81
• GW Groves, JH van Vuuren (2005) Efficient Heuristics for the Rural Postman Problem, ORiON, 21 (1), 33-51
• S Benecke, JH van Vuuren (2005) Modelling Torsion in Elastic Cables in Space, Applied Mathematical Modelling, 29 (2), 117-136
• JH van Vuuren, E Herrmann, PJ Funston (2005) Lions in the Kgalagadi Transfrontier Park: Modelling the Effect of Human-caused Mortality, International Transactions in Operational Research, 12 (2), 145-171
• EJ Cockayne, PJP Grobler, WR Grundlingh, J Munganga, JH van Vuuren (2005) Protection of a Graph, Utilitas Mathematica, 67, 19-32
• AP Burger, JH van Vuuren (2004) Ramsey Numbers in Complete Balanced Multipartite Graphs. Part II: Size Numbers, Discrete Mathematics, 283 (1-3), 45-49
• GW Groves, J le Roux, JH van Vuuren (2004) Network Service Scheduling & Routing, International Transactions in Operational Research, 11, 613-643
• AP Burger, JH van Vuuren (2004) Ramsey Numbers in Complete Balanced Multipartite Graphs. Part I: Set Numbers, Discrete Mathematics, 283 (1-3), 37-43
• AP Burger, EJ Cockayne, WR Grundlingh, CM Mynhardt, JH van Vuuren, W Winterbach (2004) Infinite Order Domination in Graphs, Journal of Combinatorial Mathematics and Combinatorial Computing, 50, 179-194
• AP Burger, EJ Cockayne, WR Grundlingh, CM Mynhardt, JH van Vuuren, W Winterbach (2004) Finite Order Domination in Graphs, Journal of Combinatorial Mathematics and Combinatorial Computing, 49, 159-175
• AP Burger, PJP Grobler, EH Stipp, JH van Vuuren (2004) Diagonal Ramsey Numbers for Multipartite Graphs, Utilitas Mathematica, 66, 137-163
• PduT Fourie, I Nieuwoudt, JH van Vuuren (2003) Methods of OR: a New Graduate Course, ORiON, 19 (1-2), 1-31
• JH van Vuuren, WR Grundlingh (2001) An Active Decision Support System for Optimality in Open Air Reservoir Release Strategies, International Transactions in Operational Research, 8 (4), 439-464
• EA Wagenaar, JH van Vuuren (2001) Quantifying the Role of Personal Management Style in the Success of Investment Portfolios, ORiON, 17, 13-28
• JH van Vuuren, J Norbury (2000) Conditions for Permanence in Well-known Biological Competition Models, Australian & New Zealand Industrial and Applied Mathematics Journal, 42, 195-223
• GE Huddlestone, JH van Vuuren (1999) Seeking Optimality in Fruit Pulping Schedules: a Case Study, ORiON, 15, 25-51
• TP Dreyer, JH van Vuuren (1999) A Comparison Between Continuous and Discrete Modelling of Cables With Bending Stiffness, Applied Mathematical Modelling, 23, 527-541
• JH van Vuuren (1999) Resilience in Reaction-diffusion Systems, IMA Journal of Applied Mathematics, 63, 179-197
• JH van Vuuren, J Norbury (1998) Permanence & Asymptotic Stability in Diagonally Convex Reaction-diffusion Systems, Proceedings of the Royal Society of Edinburgh, 128A, 147-172
• JH van Vuuren, J Norbury (1997) Persistence and Resilience in Competitive Systems, Advances in Mathematical Population Dynamics - Molecules, Cells and Man, Singapore, World Scientific, 759-778 pages, ISBN=981-02-3176-8 (bookchapter)
• JH van Vuuren (1995) The Existence of Travelling Plane Waves in a General Class of Competition-diffusion Systems, IMA Journal of Applied Mathematics, 55, 135-148