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Author (up) Gonzalez, E.; Epstein, L.D.; Godoy, V. pdf  doi
openurl 
  Title Optimal number of bypasses: minimizing cost of calls to wireless phones under Calling Party Pays Type
  Year 2012 Publication Annals Of Operations Research Abbreviated Journal Ann. Oper. Res.  
  Volume 199 Issue 1 Pages 179-191  
  Keywords Communications; Telephony; Wireless bypasses; Calling Party Pays; Rental situations; Inventory models  
  Abstract In telecommunications, Calling Party Pays is a billing formula that prescribes that the person who makes the call pays its full cost. Under CPP land-line to wireless phone calls have a high cost for many organizations. They can reduce this cost at the expense of installing wireless bypasses to replace land-line to wireless traffic with wireless-to-wireless traffic, when the latter is cheaper than the former. Thus, for a given time-horizon, the cost of the project is a trade-off between traffic to-wireless and the number of bypasses. We present a method to determine the number of bypasses that minimizes the expected cost of the project. This method takes into account hourly varying traffic intensity. Our method takes advantage of parallels with inventory models for rental items. Examples illustrate the economic value of our approach.  
  Address [Gonzalez, Eduardo; Epstein, Leonardo D.; Godoy, Veronica] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile, Email: eduardo.gonzalez@uai.cl;  
  Corporate Author Thesis  
  Publisher Springer Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0254-5330 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000308548500011 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 238  
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Author (up) Gonzalez, E.; Villena, M. pdf  doi
openurl 
  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: eduardo.gonzalez@uai.cl  
  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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Author (up) Gonzalez, E.; Villena, M.J. doi  openurl
  Title On the spatial dynamics of vaccination: A spatial SIRS-V model Type
  Year 2020 Publication Computers & Mathematics With Applications Abbreviated Journal Comput. Math. Appl.  
  Volume 80 Issue 5 Pages 733-743  
  Keywords Epidemic dynamics; Spatial SIR model; Vaccination strategy; Non-linear system of partial differential equations; Numerical modeling  
  Abstract In this paper, we analyze the effects of vaccination from a spatial perspective. We propose a spatial deterministic SIRS-V model, which considers a non-linear system of partial differential equations with explicit attrition and diffusion terms for the vaccination process. The model allows us to simulate numerically the spatial and temporal dynamics of an epidemic, considering different spatial strategies for the vaccination policy. In particular, in our first example we analyze the classical SIRS-V evolution with the addition of movements due to diffusion, while in the second one we focus on modeling one ring vaccination policy. We expect this model can improve spatial predictions of SIR vaccination models by taking into account the spatial dimension of the problem. (C) 2020 Elsevier Ltd. All rights reserved.  
  Address [Gonzalez, Eduardo] Univ Finis Terrae, Fac Engn, Santiago, Chile, Email: e.gonzalez@ieee.org;  
  Corporate Author Thesis  
  Publisher Pergamon-Elsevier Science Ltd Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0898-1221 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000557765800010 Approved  
  Call Number UAI @ alexi.delcanto @ Serial 1220  
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Author (up) Gonzalez, E.; Villena, M.J. pdf  doi
openurl 
  Title Spatial attrition modeling: Stability conditions for a 2D + t FD formulation Type
  Year 2011 Publication Computers & Mathematics With Applications Abbreviated Journal Comput. Math. Appl.  
  Volume 61 Issue 11 Pages 3246-3257  
  Keywords PDE; Stability; Reaction-diffusion; Spatial attrition modeling  
  Abstract A new general formulation for the spatial modeling of combat is presented, where the main drivers are movement attitudes and struggle evolution. This model in its simplest form is represented by a linear set of two coupled partial differential equations for two independent functions of the space and time variables. Even though the problem has a linear shape, non-negative values for the two functions render this problem as nonlinear. In contrast with other attempts, this model ensures stability and theoretical consistency with the original Lanchester Equations, allowing for a better understanding and interpretation of the spatial modeling. As a numerical illustration a simple combat situation is developed. The model is calibrated to simulate different troop movement tactics that allow an invader force to provoke maximum damage at a minimum cost. The analysis provided here reviews the trade-off between spatial grid and time stepping for attrition cases and then extends it to a new method for guaranteeing good numerical behavior when the solution is expected to grow along the time variable. There is a wide variety of spatial problems that could benefit from this analysis. (C) 2011 Elsevier Ltd. All rights reserved.  
  Address [Gonzalez, E; Villena, MJ] Univ Adolfo Ibanez, Fac Sci & Engn, Santiago, Chile, Email: eduardo.gonzalez@uai.cl  
  Corporate Author Thesis  
  Publisher Pergamon-Elsevier Science Ltd Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0898-1221 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000292573000005 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 155  
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