Accession Number:
AD0436529
Title:
STOCHASTIC DUELS OF LIMITED TIME-DURATION,
Descriptive Note:
Corporate Author:
SYSTEM DEVELOPMENT CORP SANTA MONICA CALIF
Personal Author(s):
Report Date:
1964-03-30
Pagination or Media Count:
25.0
Abstract:
This paper continues the development of the theory of stochastic duels to include the case where there is a time limitation on the duration of the duel. An example of this situation is fighter-bomber combat in which the fighter has a very limited fuel supply. In this duel, two contestants with unlimited ammunition supplies fire at each other with constant kill probabilities. The time between rounds fired is either 1 a continuous random variable or 2 constant. The duel proceeds until one or both of the contestants are killed or until the time limit is exceeded. The time limit is either 1 a continuous random variable or 2 constant. General solutions are derived for these various situations and specific examples given. Author