전투시간(戰鬪時間)의 제한성(制限性)을 고려(考慮)한 다수(多數) 대(對) 다수(多數) 전투모형(戰鬪模型)

Stochastic Combats with Time Limitation

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.