The Survival Probability Function of a Target Moving along a Straight Line in a Random Field of Obscuring Elements
Abstract
This study is focused on the problem of determining the survival probability of a moving target, which is under attack by a hunter. The target (vehicle, tank, etc.) is moving along a straight line path, which is partially obscured from the hunter by randomly distributed objects (trees, clouds, terrain objects, etc.). The target can be destroyed by the hunter only along the visible segments of the path. Visibility contact between the hunter and the target is needed for tau sub o time units for a shooting trial to occur. In any given shooting trial the probability that the target is destroyed is fixed. If the target survives a shooting trial, another identical trial may be attempted if continuous visibility for tau sub o time units is possible. If the target enters an obscured segment of the path, the shooting trials terminate, until visible segment of length L, its survival probability can be approximated by the negative exponential function exp(-qL), for suitably chosen constant q, 0 < q < infinity. The problem is that the number of visible segments on the moving path, between two specified points P sub L and P sub U, and their lengths are random variables, whose distributions depend on the characteristics of the random field. This study is based on the model of a random Poisson field of obscuring elements. (kr)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 15, 1990
- Accession Number
- ADA222839
Entities
People
- M. Yadin
- S. Zacks
Organizations
- Binghamton University