Probabilistic Model and Analysis of Conventional Preinstalled Mine Field Defense

Simple models for a defense consisting of a preinstalled mine field possibly defended by an anti-tank weapon are derived and analyzed. This paper user a special Poisson process to model the one or two positions of mines in the mine field. The duel between the anti-tank weapon and offensive tanks cro...

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Bibliographic Details
Main Author: Lee,Young Un
Format: Report
Language:English
Subjects:
Aerial Bombs
ANTITANK WEAPONS
CROSSINGS
DEFENSE SYSTEMS
EXPONENTIAL FUNCTIONS
MARKOV PROCESSES
MATHEMATICAL MODELS
MINEFIELDS
POISSON DENSITY FUNCTIONS
PROBABILITY DISTRIBUTION FUNCTIONS
Statistics and Probability
TANKS(COMBAT VEHICLES)
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Summary:Simple models for a defense consisting of a preinstalled mine field possibly defended by an anti-tank weapon are derived and analyzed. This paper user a special Poisson process to model the one or two positions of mines in the mine field. The duel between the anti-tank weapon and offensive tanks crossing the field is modeled with a continuous time Markov chain. Some algebraic solutions and numerical results are obtained for specific scenarios.