WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 14, 2015
Probability Density Function of the Time to Kill for Heterogeneous Target
Authors: , ,
Abstract: In this paper we propose the concepts about homogeneous and heterogeneous target. The homogeneous target is defined as one that hitting the different position of a target causes the same effect, whereas the heterogeneous target is allowed to differ. The large body of work on stochastic duels studied the homogeneous target. But, in many cases, it is unrealistic to assume that a target is homogeneous. We consider the heterogeneous target in this study, and obtain the probability density function of the time to kill. The general solution is obtained in quadrature form and specific solutions are derived for some particular cases. It is illustrated by an example with particular heterogeneous target.
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Keywords: Stochastic duel, Heterogeneous target, Probability density function, Renewal equation, Military operations research, Applied probability
Pages: 36-46
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 14, 2015, Art. #4