MATHEMATICAL MODELS OF ANTISUBMARINE TACTICS
NORTHWESTERN UNIV EVANSTON IL
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Two types of ASW operations are considered 1 a hunter-killer force P1 is searching for a submarine P2, and 2 P1 is attacking P2. Both of these types of operations are formulated as two-person zero-sum games. These game formulations distinguish this work from the literature since they allow P2 as well as P1 to choose tactics. Both sequential and non-sequential search games are developed. Secondary objectives and additional information are included by extending these games to constrained game formulations. Sequential games are also developed. When the players move, they not only determine a payoff but also the probability that the play terminates. The strategies which minimax the expected duration of the game must also maximin the one-step termination probability. A stochastic game due to Shapley is used to study attack operations. Finally, multiple contact problems are investigated.
- Statistics and Probability
- Operations Research
- Military Operations, Strategy and Tactics
- Undersea and Antisubmarine Warfare