Using Monte Carlo simulations to translate military and law enforcement training results to operational metrics

Author(s):  
Adam T. Biggs ◽  
Dale A. Hirsch

There are numerous challenges comparing research initiatives due to methodological differences and scenario-specific problems. Military and law enforcement issues present an extreme variant of this challenge. Specifically, assessment and training scenarios strive for realism, but operators cannot engage one another with live rounds or induce the full spectrum of environmental stressors for obvious safety reasons. Instead, particular factors are evaluated in a given scenario via experimental statistics despite the inherent difficulty in communicating inferential statistics to the intended audience of military and law enforcement professionals. The current investigation explores how Monte Carlo simulations can use probabilistic distribution sampling to convert statistical inferences into concrete operational outcomes. Using this type of distribution sampling, statistical inferences can be translated into operational metrics such as the probability of winning a gunfight. Describing these statistical values and effect sizes in terms of survival provides a more appreciable operational metric that military and law enforcement personnel can use when evaluating the advantages of various training platforms or equipment. Several approaches are examined that each accomplish this general goal, including circumstances outside of marksmanship and lethal force decision-making.

2018 ◽  
Vol 18 (3) ◽  
Author(s):  
Birgit Moritz ◽  
Martin Becker ◽  
Dieter Schmidtchen

AbstractThis article proposes a new approach to measuring the deterrent effect of cartel law enforcement by combining a game-theoretic model with Monte Carlo simulations. The game-theoretical analysis shows which type of perfect Bayesian Nash equilibria is obtained depending on the parameter setup: perfect compliance, imperfect compliance or zero compliance. For each equilibrium, we also derive the probabilities of type I (false-positive) and type II (false-negative) errors committed by the cartel authority. To account for the uncertainty and the vague knowledge concerning the model parameters, we perform Monte Carlo simulations based on parameter ranges extracted from the related literature. The simulations indicate that zero compliance dominates the picture and that the error probabilities are high for type II and negligible for type I errors. The results are fairly robust against correlation in the input parameters. Further robustness studies and interactive visualizations can be obtained with a supplemental web application.


Author(s):  
Matthew T. Johnson ◽  
Ian M. Anderson ◽  
Jim Bentley ◽  
C. Barry Carter

Energy-dispersive X-ray spectrometry (EDS) performed at low (≤ 5 kV) accelerating voltages in the SEM has the potential for providing quantitative microanalytical information with a spatial resolution of ∼100 nm. In the present work, EDS analyses were performed on magnesium ferrite spinel [(MgxFe1−x)Fe2O4] dendrites embedded in a MgO matrix, as shown in Fig. 1. spatial resolution of X-ray microanalysis at conventional accelerating voltages is insufficient for the quantitative analysis of these dendrites, which have widths of the order of a few hundred nanometers, without deconvolution of contributions from the MgO matrix. However, Monte Carlo simulations indicate that the interaction volume for MgFe2O4 is ∼150 nm at 3 kV accelerating voltage and therefore sufficient to analyze the dendrites without matrix contributions.Single-crystal {001}-oriented MgO was reacted with hematite (Fe2O3) powder for 6 h at 1450°C in air and furnace cooled. The specimen was then cleaved to expose a clean cross-section suitable for microanalysis.


1979 ◽  
Vol 40 (C7) ◽  
pp. C7-63-C7-64
Author(s):  
A. J. Davies ◽  
J. Dutton ◽  
C. J. Evans ◽  
A. Goodings ◽  
P.K. Stewart

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