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The distribution of the time‐duration of stochastic duels
Naval Research Logistics Quarterly, 1965AbstractThe Theory of Stochastic Duels is extended by considering the distribution of time‐to‐completion of the fundamental duel. The model has fixed kill probabilities and either random or fixed time between rounds fired. Time‐limitation is included. Special cases and examples are worked out.
Ancker, C. J. jun., Gafarian, A. V.
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Stochastic duels with displacements (suppression)
Naval Research Logistics Quarterly, 1981AbstractThe stochastic duel is extended to include the possibility of a near‐miss on each round fired, which causes the opponent to displace. During displacement, the displacing contestant cannot return the fire but is still a target for his opponent.
Williams, G. Trevor, Ancker, C. J. jun.
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A two-on-one stochastic duel with maneuvering and fire allocation tactics
Naval Research Logistics, 1991M. Kress
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Naval Research Logistics Quarterly, 1976
AbstractIn this analysis we extend the theory of stochastic duels to include the situation where one of the contestants fires a single infinitely long burst at a fixed rate of fire and secondly where he fires fixed‐length, fixed‐rate of fire bursts randomly spaced. In both cases the opponent fires single rounds randomly spaced.
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AbstractIn this analysis we extend the theory of stochastic duels to include the situation where one of the contestants fires a single infinitely long burst at a fixed rate of fire and secondly where he fires fixed‐length, fixed‐rate of fire bursts randomly spaced. In both cases the opponent fires single rounds randomly spaced.
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Stochastic Duels with Limited Ammunition Supply
Operations Research, 1964In a previous paper the ground work was laid for a new theoretical model of combat called the “stochastic duel.” The principal elements of the model were fixed kill probabilities on each round fired, a random time between rounds fired, and unlimited ammunition supply.
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Some Discrete Processes in the Theory of Stochastic Duels
Operations Research, 1965The duel in which the contestant on each side has a fixed kill probability and a random (continuous) time between firings has been previously considered. By limiting the time between rounds to a constant, certain situations in which strong interactions occur are investigated.
Ancker, C. J. jun., Williams, Trevor
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Stochastic duels with lethal dose
Naval Research Logistics Quarterly, 1970This paper introduces the idea of lethal dose to achieve a kill and examines its effect on the course and final outcome of a duel. Results have been illustrated for a particular case of exponential firing rates.
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Stochastic duels involving reliability
Naval Research Logistics Quarterly, 1972AbstractThe reliability of weapons in combat has been treated by Bhashyam in the context of a stochastic duel characterized by fixed ammunition supplies. negative exponentially distributed firing times and weapon lifetimes, and a fixed number of spare weapons for each duelist.
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The Status of Developments in the Theory of Stochastic Duels—II
Operations Research, 1967This paper contains a brief outline of the history and the principal features of the Theory of Stochastic Duels, as well as the major analytical results to date. Areas for future research and possible fields of application are also considered. The connection with other models of combat, such as Lanchester's equations and games of strategy, is ...
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The distribution of rounds fired in stochastic duels
Naval Research Logistics Quarterly, 1964AbstractThis paper continues the development of the theory of stochastic duels to include the distribution of the number of rounds fired. This distribution is principally of interest in estimating stock levels and resupply requirements in appropriate combat situations.
Ancker, C. J. jun., Gafarian, A. V.
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