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Author (up) Gonzalez, E.; Villena, M. pdf  doi
  Title Spatial Lanchester models Type
  Year 2011 Publication European Journal Of Operational Research Abbreviated Journal Eur. J. Oper. Res.  
  Volume 210 Issue 3 Pages 706-715  
  Keywords OR in military; Lanchester theory; Combat modeling; Partial differential equations  
  Abstract Lanchester equations have been widely used to model combat for many years, nevertheless, one of their most important limitations has been their failure to model the spatial dimension of the problems. Despite the fact that some efforts have been made in order to overcome this drawback, mainly through the use of Reaction-Diffusion equations, there is not yet a consistently clear theoretical framework linking Lanchester equations with these physical systems, apart from similarity. In this paper, a spatial modeling of Lanchester equations is conceptualized on the basis of explicit movement dynamics and balance of forces, ensuring stability and theoretical consistency with the original model. This formulation allows a better understanding and interpretation of the problem, thus improving the current treatment, modeling and comprehension of warfare applications. Finally, as a numerical illustration, a new spatial model of responsive movement is developed, confirming that location influences the results of modeling attrition conflict between two opposite forces. (C) 2010 Elsevier B.V. All rights reserved.  
  Address [Gonzalez, Eduardo; Villena, Marcelo] Univ Adolfo Ibanez, Fac Sci & Engn, Santiago, Chile, Email:  
  Corporate Author Thesis  
  Publisher Elsevier Science Bv Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0377-2217 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000287617400025 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 123  
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