Mathematical Analysis of the Counterfire Duel: Tanks versus Anti-Tank Munitions,
Abstract
A detailed, analytic model is developed to represent the duel between a ground laser designator (GLD) directing a sequence of laser-guided rounds against a platoon of target tanks which counterfire against the GLD. The model accurately portrays the complex interplay between the designator on time, the rate of fire of the laser-guided rounds and the tank counterfire response time distributions. Also taken into account are the tank aiming errors and range estimating techniques, the level of GLD protection, flight times, designation modes and degree of coordination of the tank platoon. One of the innovations of this model is the use of gamma distributions to represent tank counterfire response times. This permits representation of the time-to-fire for any number of tank rounds within the designator-on time interval by convolution of the gamma density functions. Exact expressions which allow for all encounter outcomes are derived for computation of the expected number of tanks killed and probability of GLD kill. This model was used to determine the probabilistic outcomes of the encounters at each stage of the force-on-force analysis in the definitive U.S. Army study on GLD survivability.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1984
- Accession Number
- ADP002964
Entities
People
- J. V. Michalowicz
Organizations
- Harry Diamond Laboratories