Survival Distributions in Crossing Fields Containing Clusters of Absorption Points with Possible Detection and Uncertain Activation or Absorption.

摘要

The present paper presents an algorithm for the exact determination of survival distributions in crossing fields containing absorption points (mines). The model under consideration considers clusters of absorption points,scattered at random in the field around specified aim points. The scatter distributions of the various clusters are assumed to be known. The encounter process between the particles (objects) and the absorption points allows for a possible detection and destruction of the points,for inactivation of the points and for the possibility that an activated point will not absorb the particle. Recursive formulae for the determination of the survival probabilities of each particle in a column of n crossing a the same path are given. The distribution of the number of survivors out of n particles in a column is also determined. Computer programs in Fortran are provided as well as numerical examples. (Author)