A Simple Stochastic Model of Air–Naval Combat
作者:
GriffithsJ. D.,
MarshallS. A.,
WealeT. G.,
WilliamsJ. E.,
期刊:
Journal of the Operational Research Society
(Taylor Available online 1991)
卷期:
Volume 42,
issue 4
页码: 289-300
ISSN:0160-5682
年代: 1991
DOI:10.1057/jors.1991.67
出版商: Taylor&Francis
关键词: defence studies;stochastic modelling
数据来源: Taylor
摘要:
AbstractConsideration is given to a scenario where a fleet of ships, each armed with the same anti-aircraft weapon, is attacked by identical aircraft in line-ahead formation. It is assumed that each aircraft uses its weapon against one ship, but all ships use their weapons against each aircraft as it attacks in turn. A difference equation for the bivariate probability distribution of ship and aircraft casualties is obtained, and some analytic results are derived by decomposition of the problem. Using data from the sinking of the HMSPrince of Walesand HMSRepulsein World War II to estimate parameter values, a numerical solution of the difference equation is provided. A separate method for computing the ultimate or terminal form of the distribution is given.
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