Stochastic modeling of facility security-systems for analytical solutions

Abstract

In this paper the author presents a modeling approach which makes use of conventional systems engineering techniques; namely, system block diagrams and networks where the transfer functions are expressed in the complex domain using Laplace transforms. Transit times, and times for the intruders and the responding guard force to overcome barriers, are both static and dynamic; the times are either deterministic or probabilistic variables obeying different and mixed probability laws. The solution methods are analytical, yielding measures of effectiveness of the security system. Modeling and solutions are presented for two cases. One case is for the simplified scenario where the reliability, sensitivity and response times of the sensors are assumed to be independent of time. The other is for the generalized case where sensor response times are time dependent and where the guard force encounters multiple barriers when attempting to intercept the intruders.