A Probabilistic Theory of Anti-Submarine Warfare Models Developed in Terms of Congestion Theory
SACLANT ASW RESEARCH CENTRE LA SPEZIA (ITALY)
Pagination or Media Count:
This report, which is methodological, develops a probabilistic theory that has direct application to both antisubmarine warfare and congestion models. The theory is expressed in congestion terminology because of the presumed wider knowledge and appeal of this field. This results in a simplified presentation of the general theory of infinite service facility systems with specific application to Myinfinity and XMinfinity, some of which have already been studied by Takacs and Khintchine. A new result is given for the output of the latter process. The analogy between certain infinite service facility systems and a single-server system with queue length dependent service is exploited to provide results for the latter process. A further new result for the busy period of such a process is quoted. The antisubmarine applications are to the formally similar models of the number of units present in a geographical area, and to the attrition of an enemy submarine force subjected to a steady threat from an antisubmarine barrier that geographical or other constraints compel it to transit.
- Statistics and Probability
- Undersea and Antisubmarine Warfare