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Analysis of Survivability for Combatants during Offensive Operations at the Tactical Level

전술제대 공격작전간 전투원 생존성에 관한 연구

  • Kim, Jaeoh (Department of Statistics, Korea University) ;
  • Cho, HyungJun (Department of Statistics, Korea University) ;
  • Kim, GakGyu (Center for Army Analysis and Simulation, ROK Army)
  • Received : 2015.06.29
  • Accepted : 2015.08.10
  • Published : 2015.10.31

Abstract

This study analyzed military personnel survivability in regards to offensive operations according to the scientific military training data of a reinforced infantry battalion. Scientific battle training was conducted at the Korea Combat Training Center (KCTC) training facility and utilized scientific military training equipment that included MILES and the main exercise control system. The training audience freely engaged an OPFOR who is an expert at tactics and weapon systems. It provides a statistical analysis of data in regards to state-of-the-art military training because the scientific battle training system saves and utilizes all training zone data for analysis and after action review as well as offers training control during the training period. The methodologies used the Cox PH modeling (which does not require parametric distribution assumptions) and decision tree modeling for survival data such as CART, GUIDE, and CTREE for richer and easier interpretation. The variables that violate the PH assumption were stratified and analyzed. Since the Cox PH model result was not easy to interpret the period of service, additional interpretation was attempted through univariate local regression. CART, GUIDE, and CTREE formed different tree models which allow for various interpretations.

본 연구에서는 증강된 보병대대의 과학화 전투훈련 데이터 중 공격작전에 관한 장병들의 생존분석을 실시하였다. 과학화 전투훈련은 KCTC(Korea Combat Training Center)로 불리는 전투훈련장에서 MILES(Multiple Integrated Lazer Engagement System)와 중앙통제장비체계 등 과학화된 훈련장비와 체계 운용하 훈련부대가 적 전술 및 무기체계를 사용하는 전문 대항군과 실시하는 쌍방 자유기동훈련이다. 이는 훈련기간 동안 훈련지역의 모든 데이터가 저장되어 훈련통제 뿐 아니라 분석 및 사후검토를 할 수 있는 첨단화된 군사 훈련으로 통계적 분석이 가능한 데이터를 제공한다. 분석방법은 모수적 분포 가정이 필요하지 않은 Cox의 비례위험모형을 적용하였으며, 보다 풍부하고 용이한 해석을 위해 의사결정나무모형(CART(Classification and Regression Trees), GUIDE(Generalized, Unbiased, Interaction Detection and Estimation), CTREE(Conditional Inference Trees))을 활용하였다. Cox 비례위험모형의 비례성 가정을 확인하여 이를 위배하는 변수에 대해서 층화하여 분석하고, Cox 비례위험모형 결과 복무기간에 관한 해석이 용이하지 않아 단변량으로 local 회귀분석을 통해 추가적인 해석을 시도하였다. CART, GUIDE, CTREE는 모형의 특성별로 나무모형을 형성하며 이를 통하여 다양한 해석이 가능하다.

Keywords

References

  1. Ahn, H. and Loh, W. Y. (1994). Tree-structured proportional hazards regression modeling, Biometrics, 50, 471-485. https://doi.org/10.2307/2533389
  2. Altman, D. G., De Stavola, B. L., Love, S. B. and Stepniewska, K. A. (1995). Review of survival analyses published in cancer journals, British Journal of Cancer, 72, 511-518. https://doi.org/10.1038/bjc.1995.364
  3. Barney, J. A. (2002). Study of patent mortality rates: Using statistical survival analysis to rate and value patent assets, AIPLA Quarterly Journal, 30, 317-352.
  4. Bou-Hamad, I., Larocque, D. and Ben-Ameur, H. (2011). A review of survival trees, Statistics Surveys, 5, 44-71. https://doi.org/10.1214/09-SS047
  5. Breiman, L., Friedman, J. H., Olshen, R. A. and Stone, C. J. (1984). Classification and Regression Trees, Wadsworth, Belmont.
  6. Chang, Y. (2010). The analysis of factors which affect business survey index using regression trees, The Korean Journal of Applied Statistics, 23, 63-71. https://doi.org/10.5351/KJAS.2010.23.1.063
  7. Choi, J. and Seo, D. (1999). Decision trees and its applications, Journal of The Korean Official Statistics. 4, 61-83.
  8. Cox, D. R. (1972). Regression models and life-tables, Journal of the Royal Statistical Society, Series B, 34, 187-220.
  9. Grambsch, P. and Therneau, T. (1994). Proportional hazards tests and diagnostics based on weighted residuals, Biometrika, 81, 515-26. https://doi.org/10.1093/biomet/81.3.515
  10. Herl, B. K., Doe, W. W. and Jones, D. S. (2005). Use of military training doctrine to predict patterns of maneuver disturbance on the landscape. I. Theory and methodology, Journal of Terramechanics, 42, 353-371. https://doi.org/10.1016/j.jterra.2004.10.009
  11. Hodson, D. D. and Baldwin, R. O. (2009). Characterizing, measuring, and validating the temporal consistency of live virtual constructive environment, Simulation, 85, 671-682. https://doi.org/10.1177/0037549709340732
  12. Hothorn, T., Hornik, K. and Zeileis, A. (2006). Unbiased recursive partitioning a conditional inference framework, Journal of Computational and Graphical Statistics, 15, 651-674. https://doi.org/10.1198/106186006X133933
  13. Kim, G. G. and Kim, D. S. (2014). Development and application of effect measurement tool fot victory factors in offensive operations using big data analytics, Journal of the Korean Operations Research and Management Science Society, 39, 111-130. https://doi.org/10.7737/JKORMS.2014.39.2.111
  14. Kim, T. G., Kwon, S. J. and Kang, B. (2013). Modeling and simulation methodology for defense systems based on concept of system of systems, Journal of the Korean Institute of Industrial Engineers, 39, 450-460. https://doi.org/10.7232/JKIIE.2013.39.6.450
  15. LeBlanc, M. and Crowley, J. (1992). Relative risk trees for censored survival data, Biometrics, 48, 411-425. https://doi.org/10.2307/2532300
  16. Lee, E. T. and Wang, J. (2003). Statistical Methods for Survival Data Analysis, John Wiley & Sons, New Jersey.
  17. Lim, T. S., Loh, W. Y. and Shih, Y. S. (2000). A comparison of prediction accuracy, complexity, and training time of thirty-three old and new classification algorithms, Machine Learning, 40, 203-228. https://doi.org/10.1023/A:1007608224229
  18. Loh, W. Y. (2002). Regression trees with unbiased variable selection and interaction detection, Statistica Sinica, 12, 361-386.
  19. Loh, W. Y. (2009). Improving the precision of classification trees, Annals of Applied Statistics, 3, 1710-1737. https://doi.org/10.1214/09-AOAS260
  20. Loh, W. Y. (2014). Fifty years of classification and regression trees, International Statistical Review, 82, 329-348. https://doi.org/10.1111/insr.12016
  21. Loh, W. Y., He, X. and Man, M. (2015). A regression tree approach to identifying subgroups with differential treatment effects, Statistics in Medicine, 34, 1818-1833. https://doi.org/10.1002/sim.6454
  22. Schmidt, P. and Witte, A. D. (1989). Predicting criminal recidivism using 'split population' survival time models, Journal of Econometrics, 40, 141-159. https://doi.org/10.1016/0304-4076(89)90034-1
  23. Therneau, T., Atkinson, B. and Ripley, B. (2015). Package 'rpart'.
  24. U.S. Army (2008). FM 3.0 Operations, Headquarters Department of the Army.