A collection of analytical results related to the ASW protection of convoys and carriers

Abstract

This paper is a collection of diverse analytical results that are related to several aspects of a common problem: the defence of carriers against torpedo-firing submarines. This work is not in any sense a complete treatment of those issues, but is rather a set of analytical vignettes. Examined are:

(1) escort response time to a flaming datum;

(2) the probability of detecting the attacker after a flaming datum;

(3) ship/submarine exchange ratio as depending on the number of submarine attacks within a convoy;

(4) the trade-off between screening and flaming datum prosecution; and

(5) carrier survival probability

after a submarine has penetrated its screen.