Browse > Article
http://dx.doi.org/10.5392/JKCA.2021.21.11.077

A Study on the War Simulation and Prediction Using Bayesian Inference  

Lee, Seung-Lyong ((주)심네트 경영전략본부 R&D 및 V&V연구소)
Yoo, Byung Joo ((주)심네트 경영전략본부 R&D 및 V&V연구소)
Youn, Sangyoun ((주)심네트 경영전략본부 R&D 및 V&V연구소)
Bang, Sang-Ho ((주)심네트 경영전략본부 R&D 및 V&V연구소)
Jung, Jae-Woong ((주)심네트 경영전략본부 R&D 및 V&V연구소)
Publication Information
Abstract
A method of constructing a war simulation based on Bayesian Inference was proposed as a method of constructing heterogeneous historical war data obtained with a time difference into a single model. A method of applying a linear regression model can be considered as a method of predicting future battles by analyzing historical war results. However it is not appropriate for two heterogeneous types of historical data that reflect changes in the battlefield environment due to different times to be suitable as a single linear regression model and violation of the model's assumptions. To resolve these problems a Bayesian inference method was proposed to obtain a post-distribution by assuming the data from the previous era as a non-informative prior distribution and to infer the final posterior distribution by using it as a prior distribution to analyze the data obtained from the next era. Another advantage of the Bayesian inference method is that the results sampled by the Markov Chain Monte Carlo method can be used to infer posterior distribution or posterior predictive distribution reflecting uncertainty. In this way, it has the advantage of not only being able to utilize a variety of information rather than analyzing it with a classical linear regression model, but also continuing to update the model by reflecting additional data obtained in the future.
Keywords
Bayesian Inference; Markov Chain Monte Carlo; Combat Model; Posterior Distribution; Modeling & Simulation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. Bracken, "Lanchester Models of Ardennes Campaign," Naval Research Logistics, Vol.42, pp.559-577, 1995.   DOI
2 R. D. Fricker, "Attrition Models of the Ardennes Campaign," Naval Research Logistics, Vol.45, pp.1-22, 1998.   DOI
3 M. P. Wiper, L. I. Pettit, and K. D. S. Young, "Bayesian Inference for a Lanchester Type Combat Model," Naval Research Logistics, Vol.47, pp.541-558, 2000.   DOI
4 M. Kress and I. Talmor, "A New Look at The 3 : 1 Rule of Combat through Markov Stochastic Lanchester Models," J. of the Operational Research Society, Vol.50, No.7, pp.733-744, 1999.   DOI
5 D. Park, D. Kim, H. Moon, and H. Shin, "Gaussian Approximation of Stochastic Lanchester Model for Heterogeneous Forces," J. of Korean Institute of Industrial Engineers, Vol.42, No.2, pp.86-95, 2016.   DOI
6 B. J. Yoo, "Statistical review and explanation for Lanchester model," The Korean Journal of Applied Statistics, Vol.33, No.3, pp.335-345, 2020.   DOI
7 심홍기, 김승권, "인공신경망을 이용한 대대전투간 작전지속능력 예측," 지능정보연구, 제14권, 제3호, pp.25-39, 2008.
8 S. w. Yoon and S. H. Lee, "ANN-based Evaluation Model of Combat Situation to Predict the Progress of Simulated Combat Training," 한국컴퓨터정보학회논문지, Vol.22, No.7, pp.31-37, 2017.
9 W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, Markov Chain Monte Carlo in Practice, Chapman & Hall/CRC, 1996.
10 Andrew Gelman, J. B. Carlin, H. S. Stern, and D. B. Rubin, Bayesian Data Analysis, Chapman and Hall, 2004.
11 J. Julian Faraway, Linear Models with R, Chapman and Hall, London, 2015.
12 F. W. Lanchester, Aircraft in Warfare: The Dawn of the Fourth Arm, Constable and Company, London, 1916.
13 P. M. Morse and G. E. Kimball, Methods of Operation Research, Wiley, New York, 1951.
14 H. K. Weiss, "Combat Models and Historical Data: The U.S. Civil War," Operations Research, Vol.14, No.5, pp.759-790, 1966.   DOI
15 R. H. Peterson, "On the Logarithmic Law of Attrition and Its Application to Tank Combat," Operations Research, Vol.15, pp.557-558, 1967.   DOI
16 M. B. Schaffer, "Lanchester Models of Guerrilla Engagements," Operations Research, Vol.16, pp.457-488, 1968.   DOI
17 S. J. Dietchman, "A Lanchester Model of Guerrilla Warfare," Operations Research, Vol.10, pp.818-827, 1962.   DOI
18 D. S. Hartley and R. L. Helmbold, "Validating Lanchester's Square Law and Other Attrition Models", Naval Research Logistics, Vol.42, pp.609-633, 1995.   DOI
19 유병주, "전쟁사 자료를 이용한 인원손실률 분석 방법론," 한국국방경영분석학회지, 제46권, 제1호, pp.31-42, 2020.
20 T. N. Dupuy, Understanding War: History and Theory of Combat, Paragon House, 1987.