Mathematical modelling of an air operation

Authors

  • Diego Gerardo Roldán Jiménez Universidad de Ciencias Aplicadas y Ambientales
  • Jorge Mauricio Ruíz Universidad Nacional de Colombia

DOI:

https://doi.org/10.18667/cienciaypoderaereo.18

Keywords:

Static Objects Bombing, mathematical modeling

Abstract

 This article presents how a mathematical model applied to an air operation where ground targets are being attacked. Particularly, it considers having enough anti aircraft batteries to be defended from an air attack. It develops probabilistic models to describe the situation, trying to determine the quantity of airships to be used to maximize the probability of success and at the same time, to minimize the quantity of downed allied airships.

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Author Biographies

  • Diego Gerardo Roldán Jiménez, Universidad de Ciencias Aplicadas y Ambientales

    Msc. en Matemática Aplicada. Facultad de Ciencia y Tecnología, Universidad de Ciencias Aplicadas y Ambientales

  • Jorge Mauricio Ruíz, Universidad Nacional de Colombia

    PhD. en Matemáticas. Departamento de Matemáticas, Universidad Nacional de Colombia

References

Barnier, W. (s.f.). Expected Loss in Keno. Módulo 574: UMAP.

Bender, E. A. (s.f.). An introduction to Mathematical Modeling. New York: Wiley & Sons.

Billingsley, P. (1979). Probability and measure. New York: Wiley & Sons.

Carlson. : Conditional Probability and Ambiguous information. Modulo 391. UMAP.

Dym, C.L. (2004). Principles of Mathematical Modeling. Claremont, California: Academic Press.

https://doi.org/10.1016/B978-012226551-8/50002-8

Feller, W. (1971): An introduction to probability theory and its applications. Vol. 2. 2nd Ed. New York: Wiley & Sons.

Meerschaert, M. (1993). Mathematical Modeling. New York: Academic Press, Inc.

Ross, S. (s.f.). Introduction to probability models. 3rd ed. New York: Academic Press Inc.

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Published

2012-09-01

Issue

Vol. 7 No. 1 (2012): Enero - Diciembre

Section

Operational Safety and Aviation Logistics

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How to Cite

Mathematical modelling of an air operation. (2012). Ciencia Y Poder Aéreo, 7(1), 26-31. https://doi.org/10.18667/cienciaypoderaereo.18