(Вэшбэрн Алан Р. Заметки по теории стрельбы).Monterey, California: Naval Postgraduate School. 2000. – 36 p.These notes are intended to be tutorial in nature, rather than comprehensive. The reader who desires a comprehensive treatment should see [1], which contains additional references to the considerable literature that exists on coverage problems. It seems to be the nature of the subject that there are a great many conceptually similar cases and sub-cases, each requiring a different mathematical treatment. Our goal here is to describe and summarize the main ideas, recording in the process only those results for which simple expressions are available. .
The material in the first three sections of these notes is devoted to computations of the probability of killing a target with possibly several weapons, with the effectiveness of each weapon depending on a two-dimensional miss distance. The same mathematics applies to computations of such things as the probability of detecting a target with sensors; the only essential feature is that the crucial event must either happen or not. Partial damage is not permitted — each shot either kills the target or leaves it unscathed. This assumption is often not realistic, but it nonetheless must serve because practically all analysis is based on it.Contents:.
Introduction.
Single shot kill probability.
Definitions.
Cookie cutter weapons.
Carleton weapons.
Other damage functions.
Multiple shot kill probability.
Simultaneous independent shots.
Simultaneous dependent shots.
Area targets/Multiple error sources.
Sequential shots with feedback.
Defense of one target.
Known attack size.
Bayesian defense.
The maximum cost defense.
Prim-Read defense.
