• Journal of the Korean Statistical Society
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• 제7권1호
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• pp.61-80
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• 1978

This paper presents general solutions for stochastic square duels with continuous interfiring times and various firing strategies such as standby (S), concentrated (C), seperated (I) and random (R) firings. Analysis of these square duels with negative exponential interfiring times and equivalent values of rates of fire and single shot kill probabilities reveal three important facts: i) Strategy (C) is advantageous against the opponent's strategy (S) and the advantage becomes more pronounced for lower values of single shot kill probabilities. ii) Strategy (I) is always better than strategy (C) no matter which of (C) and (I) the opponent uses and its relative advantege increases to a quarter as single shot kill probabilities increase to one but decreases to zero as they go to zero. iii) However, strategy (I) has no advantage over strategy (C) for small values of single shot kill probabilities. In this paper, square duels with strategies (C) and (I) are based on the assumptions that duelists are homogeneous and both duelists of one side fire simultaneously. The problem of relaxing these assumptions and extension of square ($2 \times 2$) duels to more general ($m \times n) duels are now being investigated.

• 한국국방경영분석학회지
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• 제6권2호
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• pp.69-88
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• 1980

A stochastic fundamental duel with continous interfiring times is considered for including the kill effect of multiple hits and fixed duel time. Two alternatives, 'vital hit' and 'damage coefficient' approaches, are developed. Since a large quantity of ammunition is consumed when a sure kill is obtained through repetitive multiple hits, limitation of initial ammunition supply is included in the stochastic duel models with multiple hits and fixed duel time. General solutions are obtained and examples with negative exponential interfiring times and geometric ammunition supply are given.

• 한국국방경영분석학회지
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• 제28권2호
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• pp.56-69
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• 2002

A technique of finding both probability density and distribution function for interkilling times is considered and demonstrated. An important result is that any arbitrary interfiring time random variables fit to this study, The interfiring renewal density function given a certain interfiring probability density function can be applied to obtain the corresponding interkilling renewal density function which helps us to estimate the expected number of killing events in a time period. The numerical inversion of Laplace transformation makes these possible and the results appear to be excellent. In case of ammunition supply is limited, an alternative way of getting the probability density function of time to the killing is investigated. The convolution technique may give us a means of settling for this new problem.

• Journal of the Korean Statistical Society
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• 제7권2호
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• pp.121-130
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• 1978

This paper presents a method of incorporating detection capability of weapon systems into the "fundamental" stochastic duels of Williams and Ancker when both detection and interfiring times are continuous random variables. An example with negative exponential detection and firing times is also given.lso given.

• 대한산업공학회지
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• 제5권2호
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• pp.2-7
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• 1979

The fundamental stochastic duel of Williams and Ancker is combined with the probabilistic linear, square and mixed laws of Brown and Smith when the battle time is limited and interfiring times are continuous. The Probability of a given side's winnig or a draw is derived in a recursive equation with Laplace transforms. Examples with negative exponential firing times are given. In linear law an exact closed form solution is obtained, whereas for square and mixed laws only square ($2{\times}2$) duels are considered.

• 한국시뮬레이션학회논문지
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• 제18권1호
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• pp.53-62
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• 2009

실 기동 훈련을 기반으로 획득한 데이터는 전투 또는 워게임 모델링 및 시뮬레이션에 중요한 역할을 지니게 된다. 특히 이들 데이터는 무기체계 분석을 위한 중요한 입력자료로 활용하게 된다. 현존하는 분석모델들은 사격시간간격의 평균값을 상수로 지정하여 적용하여 왔으나 사격시간간격은 기존 확률분포 또는 경험분포로 적합하여 사용함이 보다 현실적이라고 할 수 있다. 실제 전장의 데이터를 획득하기 어려운 여건이므로 실기동 훈련으로 획득된 경험 데이터를 활용할 수 있는 방법을 제시한다. 본 연구는 확률과정을 따르는 전투상황을 보다 근접하게 모의할 수 있는 새로운 접근방법 및 기법을 연구하고 비교한다. 이 연구는 다양한 혼합 무기체계, 적정 전투의 규모, 그리고 전술적 측면 등을 포함하는 향후 연구과제의 필요성을 제기하면서 이를 위한 첫 번째 단계에 해당하는 기초연구이다.