In this paper we extend the one-on-one stochastic duel model with searching to the many-on-one case based on information-sharing. We have derived the probability density function of the time to kill the target in many-on-one model. It is illustrated by an example in which the firing time and the searching time are of different exponential distributions.
K. Wand, S. Humble and R. J. T. Wilson, “Explicit Modelling of Detection within a Stochastic Duel,” Naval Research Logistics Quarterly, Vol. 40, 1993, pp. 431-450.