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Research Publications

* Papers in Print
* Papers to Appear
* Papers Submitted


Papers in Print

* MJ Bester, I Nieuwoudt & JH van Vuuren, Finding good nurse duty schedules: A case study, Journal of Scheduling, 10(6) (2007), 387-405. [Abstract]
* AP Burger, WR Gründlingh & JH van Vuuren, Towards a characterisation of lottery set overlapping structures, Ars Combinatoria, 84 (2007), 105-128. [Abstract]
* AP Burger, I Nieuwoudt & JH van Vuuren, On the Delta(d)-chromatic number of a complete balanced multipartite graph, ORiON, 23(1) (2007), 29-49. [Abstract]
* AP Burger & JH van Vuuren, Balanced minimum covers of a finite set, Discrete Mathematics, 307(22) (2007), 2853-2860. [Abstract]
* AP Burger & JH van Vuuren, Enumerating optimal solutions to special instances of the lottery problem, Journal of Combinatorial Mathematics and Combinatorial Computing, 63 (2007), 47-63. [Abstract]
* JN Roux & JH van Vuuren, Threat evaluation and weapon assignment decision support: A review of the state of the art, ORiON, 23(2) (2007), 151-186. [Abstract]
* S Benecke, PJP Grobler & JH van Vuuren, Protection of complete multipartite graphs, Utilitas Mathematica, 71 (2006), 161-168. [Abstract]
* AP Burger, WR Gründlingh & JH van Vuuren, On the optimality of Belic's lottery design listings, Journal of Combinatorial Mathematics and Combinatorial Computing, 56 (2006), 83-100. [Abstract] [MathScinet Reference]
* AP Burger, WR Gründlingh & JH van Vuuren, Two combinatorial problems involving lottery schemes: Algorithmic determination of solution sets, Utilitas Mathematica, 70 (2006), 33-70. [Abstract] [MathScinet Reference]
* EJ Cockayne, G Geldenhuys, PJP Grobler, CM Mynhardt & JH van Vuuren, The depression of a graph, Utilitas Mathematica, 69 (2006), 143-160. [Abstract] [MathScinet Reference]
* FG Ortmann, FE van Dyk & JH van Vuuren, Modelling the South African fruit export infrastructure: A case study, ORiON, 22(1) (2006), 35-57. [Abstract] [AJOL Reference]
* NA Pantland & JH van Vuuren, Voet van die Suid-Afrikaanse kontinentale helling, Suid-Afrikaanse Tydskrif vir Wetenskap en Tegnologie, 25(4) (2006), 248-264. [Abstract]
* S Benecke & JH van Vuuren, Modelling torsion in elastic cables in space, Applied Mathematical Modelling, 29(2) (2005), 117-136. [Abstract] [Science Direct Reference]
* EJ Cockayne, PJP Grobler, WR Gründlingh, J Munganga & JH van Vuuren, Protection of a graph, Utilitas Mathematica, 67 (2005), 19-32. [Abstract] [MathSciNet Reference]
* PJ Funston, E Herrmann & JH van Vuuren, Lions in the Kgalagadi Transfrontier Park: Modelling the effect of human-caused mortality, International Transactions in Operational Research, 12(2) (2005), 145-171. [Abstract] [ITOR Reference]
* GW Groves, J le Roux & JH van Vuuren, On a routing & scheduling problem concerning multiple edge traversals in graphs, Networks, 46(2) (2005), 69-81. [Abstract] [Wiley InterScience Reference] [MathSciNet Reference]
* GW Groves & JH van Vuuren, Efficient heuristics for the rural postman problem, ORiON, 21(1) (2005), 33-51. [Abstract] [AJOL Reference]
* AP Burger, PJP Grobler, EH Stipp & JH van Vuuren, Diagonal Ramsey numbers in multipartite graphs, Utilitas Mathematica, 66 (2004), 137-163. [Abstract] [MathSciNet Reference]
* GW Groves, J le Roux & JH van Vuuren, Network Service Scheduling & Routing, International Transactions in Operational Research, 11 (2004), 613-643. [Abstract] [ITOR Reference]
* AP Burger, EJ Cockayne, WR Gründlingh, CM Mynhardt, JH van Vuuren & W Winterbach, Infinite order domination in graphs, Journal of Combinatorial Mathematics and Combinatorial Computing, 50 (2004), 179-194. [Abstract] [MathSciNet Reference]
* AP Burger, EJ Cockayne, WR Gründlingh, CM Mynhardt, JH van Vuuren & W Winterbach, Finite order domination in graphs, Journal of Combinatorial Mathematics and Combinatorial Computing, 49 (2004), 159-175.[Abstract] [MathSciNet Reference]
* AP Burger & JH van Vuuren, Ramsey Numbers in Complete Balanced Multipartite Graphs. Part I: Set Numbers, Discrete Mathematics, 283(1-3) (2004), 37-43. [Abstract] [Science Direct Reference] [MathSciNet Reference]
* AP Burger & JH van Vuuren, Ramsey Numbers in Complete Balanced Multipartite Graphs. Part II: Size Numbers, Discrete Mathematics, 283(1-3) (2004), 45-49. [Abstract] [Science Direct Reference] [MathSciNet Reference]
* PduT Fourie, I Nieuwoudt & JH van Vuuren, Methods of OR: A new graduate course, ORiON, 19 (2003), 1-31. [Abstract]
* JH van Vuuren & WR Gründlingh, An active decision support system for optimality in open air reservoir release strategies, International Transactions in Operational Research, 8(4) (2001), 439-464. [Abstract] [ITOR Reference]
* EA Wagenaar & JH van Vuuren, Quantifying the role of personal management style in the success of investment portfolios, ORiON, 17 (2001), 13-28. [Abstract]
* JH van Vuuren & J Norbury, Conditions for permanence in well-known biological competition models, Australian & New Zealand Industrial and Applied Mathematics Journal, 42 (2000), 195-223. [Abstract] [MatSciNet Reference] [ANZIAM Reference]
* GE Huddlestone & JH van Vuuren, Seeking optimality in fruit pulping schedules: a case study, ORiON, 15 (1999), 25-51. [Abstract]
* TP Dreyer & JH van Vuuren, A comparison between continuous and discrete modelling of cables with bending stiffness, Applied Math Modelling, 23 (1999), 527-541. [Abstract] [Science Direct Reference]
* JH van Vuuren, Resilience in reaction-diffusion systems, IMA Journal of Applied Mathematics, 63 (1999), 179-197. [Abstract] [OUP Reference] [MathSciNet Reference]
* JH van Vuuren & J Norbury, Permanence & asymptotic stability in diagonally convex reaction-diffusion systems, Proceedings of the Royal Society of Edinburgh, 128A (1998), 147-172. [Abstract] [MathSciNet Reference]
* JH van Vuuren & J Norbury, Persistence and resilience in competitive systems, pp.759-778 in O Arino, et al., Advances in Mathematical Population Dynamics - Molecules, Cells and Man, World Scientific, Singapore, 1997. [Abstract]
* JH van Vuuren, The existence of travelling plane waves in a general class of competition-diffusion systems, IMA Journal of Applied Mathematics, 55 (1995), 135-148. [Abstract] [MathSciNet Reference]


Papers to Appear

* AP Burger, WR Gründlingh & JH van Vuuren, Two combinatorial problems involving lottery schemes: Characterising solution set structures, to appear in Utilitas Mathematica (estimated publication date: March 2008). [Abstract]


Papers Submitted

* AP Burger & JH van Vuuren, On the placement of a number of strings in a collection of hats, submitted 2006. [Abstract]
* N Ntene & JH van Vuuren, A survey and comparison of level heuristics for the 2D oriented strip packing problem, submitted 2006. [Abstract]
* N Ntene & JH van Vuuren, A survey and comparison of heuristics for the 2D oriented on-line strip packing problem, submitted 2007. [Abstract]
* AP Burger, PJP Grobler, I Nieuwoudt & JH van Vuuren, On an open problem in defective graph colourings, submitted 2007. [Abstract]
* AP Burger & JH van Vuuren, On the lower (r,s) domination parameter of a graph, submitted 2007. [Abstract]
* JN Roux & JH van Vuuren, Real-time threat evaluation in a ground based air defence environment, submitted 2007. [Abstract]
* AP Burger, MA Henning & JH van Vuuren, Vertex covers and secure domination in graphs, submitted 2007. [Abstract]


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