Probability Distribution of Battle Duration in Stochastic Combats

전투시간의 확률분포에 관한 연구

  • 홍윤기 (한성대학교 산업 및 기계시스템공학부)
  • Published : 2003.12.01

Abstract

Knowing the characteristic of battle duration is important for commanders and logicians in the analysis of combat realization. Analytic solutions for mean and standard deviation can be found in small sized battles. Stochastic combat simulation model is utilized to study a probabilistic behavior of the combat duration. Output data is fitted to a certain probability distribution and some moments such as skewness and kurtosis are investigated. Fire allocation strategies, reselect options, interfiring time random variables, and kill rates are considered to investigate how they affect the battle termination time.

Keywords

References

  1. Ancker, C. J, Jr., One-on-One Stochastic Duels. Military Application section, Operations Research Society of America, 1982
  2. Ancker, C. J, Jr., 'Stochastic Duels with Limited Ammunition Supply,' Operations Research, Vol. 12, No.1, pp. 38-50, 1964 https://doi.org/10.1287/opre.12.1.38
  3. Ancker, C. J, Jr. and A. V. Gafarian, 'The Validity of Assumptions Underlying Current Uses of Lanchester Attrition Rates,' Naval Research, Vol.42, pp.311-336, 1995 https://doi.org/10.1002/nav.3220420303
  4. Anker, C. J. jr., 'A Proposed Foundation for a Theory of Combat', Naval Research Logistics, Vol.42, pp.311-336, 1995 https://doi.org/10.1002/nav.3220420303
  5. Averill M. Law & Associates, ExpertFit, User's Guide, 1995
  6. Cox, D. R., Renewal Theory, From Methuen's Monographs on Applied Probability and Statistics, Science Paperbacks, Methuen & Co. LTD London, 1962
  7. Gafarian, A. V. and C. J. Ancker, Jr., 'The Two-on-One Stochastic Duel,' Naval Research Logistics Quarterly, Vol.31, pp. 300-324, 1984 https://doi.org/10.1002/nav.3800310213
  8. Gafarian, A. V. and K R. Manion, 'Some Two-on-Two Homogeneous Stochastic Combats,' Naval Research Logistics, Vol. 36, pp. 721-764, 1989 https://doi.org/10.1002/1520-6750(198912)36:6<721::AID-NAV3220360602>3.0.CO;2-V
  9. Gafarian, A. V. and D. G. Harvey, Jr., Y. G. Hong, and M, D Kronauer, 'Some Many-on-Many Homogeneous Stochastic Combat Simulation Models,' Technical Report, University of Southern California, Los Angeles, California, 1988
  10. Heyman, D.P. and M. J. Sobel, Stochastic Models in Operations Research, Vol. 1, McGraw-Hill, 1982
  11. Hong, Y. G., 'Stochastic Combats with Limited Battle Termination Time,' Journal of the Military Operations Research Society of Korea, Vol. 19, No.2, pp 102-115, 1993
  12. Hong, Y. G., 'Analysis of Fire Allocation Strategies in Stochastic Combat', Journal of the Military Operations Research Society of Korea, Vol 20, No.2, pp 39-61, 1994
  13. Parkhideh, S. and Gafarian, A.V., 'General Soilltion w Many-on-Many Heterogeneous Stochastic Combat,' Naval Research Logistics, Vol. 43, pp, 937-953, 1996 https://doi.org/10.1002/(SICI)1520-6750(199610)43:7<937::AID-NAV1>3.0.CO;2-E
  14. Yang, J. and Gafarian A. V., 'A fast Approximation of Homogeneous Stochastic Combat', Naval Research Logistics, Vol.42, pp.503-533, 1995 https://doi.org/10.1002/1520-6750(199504)42:3<503::AID-NAV3220420310>3.0.CO;2-Z