A Parametric Analysis of Duels.
CENTER FOR NAVAL ANALYSES ALEXANDRIA VA AIR WARFARE DEPT
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The type of game of timing analyzed here is known as a discrete, noisy duel. Through the use of decomposition, such games can be defined recursively i.e., in terms of successively simpler games. The principle of decomposition is well suited to implementation on a computer. Such a program listed in the appendix was developed on a VAX 11780 computer in BASIC. This program permits parametric analysis by providing nearly instantaneous solutions to discrete, noisy duels. The discrete, noisy duels considered here can be thought of as a naval engagement between two ships armed with surface-to-surface missiles. The duels, while not prohibitively complex problems, are sufficiently time-consuming to make manual attempts at parametric analysis virtually impossible. However, the development of a computer program that can solve very large duels in seconds i.e., duels involving 10 salvos per player and 20 distance decrements readily allows such analysis. In fact, a fortunate side benefit of the decomposition algorithm is that not only is the value of the specified duel determined, but also the value of energy duel with parameters salvos for player 1, salvos for player 2, and initial separation less than those of the specified duel. The result is a vast reduction in completion time.
- Numerical Mathematics
- Computer Programming and Software
- Naval Surface Warfare