Applications of Black Scholes Complexity Concepts to Combat Modelling

Abstract

Lanchester's equations are commonly used as the basis for force-on-force combat models, even if only as a metamodel for a more complex combat simulation. This report examines whether attrition is adequately modelled by such Markov processes. It shows that the distribution of historical battle casualties is consistent with that obtained when attrition is modelled as an Ito process. The additional Wiener term can be regarded as representing the impact of the wider environment on attrition rates.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2009
Accession Number
ADA523327

Entities

People

  • Nigel Perry

Organizations

  • Defence Science and Technology Group

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Attrition
  • Battles
  • Casualties
  • Combat Simulations
  • Computational Science
  • Databases
  • Department Of Defense
  • Differential Equations
  • Equations
  • Markov Processes
  • Mathematical Models
  • Normal Distribution
  • Sampling
  • Simulations
  • Standards
  • Stochastic Processes

Readers

  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.
  • Military Science