Results 91 to 100 of about 270 (146)

The stochastic duel with time-dependent hit probabilities

Naval Research Logistics Quarterly, 1984
AbstractThe fundamental stochastic duel considers two opponents who fire at each other at either random continuous or fixed‐time intervals with a constant hit probability on each round fired. Each starts with an unloaded weapon, unlimited ammunition, and unlimited time. The first to hit wins.
C J Ancker
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The two-on-one stochastic duel

Naval Research Logistics Quarterly, 1984
AbstractThe one‐on‐one stochastic duel is extended to the general two‐on‐one duel for the first time. The state equations, win probabilities, mean value, and variance functions are derived. The case where one side has Erlang (2) firing times and the other is negative exponential is compared with the corresponding “Stochastic Lanchester” and Lanchester ...
C J Ancker
exaly   +2 more sources

The many-on-one stochastic duel

Naval Research Logistics, 1987
The general many-on-one stochastic duel conditioned on the order in which targets are attacked is investigated, and the state probabilities are derived for the first time. The results are illustrated by an example of a three-on-one stochastic duel with negative exponential interfiring times. Some aspects of the tradeoff between individual firepower and
Moshe Kress
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Stochastic Duels with Damage

Operations Research, 1972
This paper considers the duel between two contestants with unlimited ammunition supplies, each one firing at the other. It assumes that the damage resulting from a round of fire is measurable and has a probability distribution. The cumulative damage function depends both on time and on number of rounds fired. For given rates of fire, damage functions,
A. Nagabhushanam, G. C. Jain
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Stochastic duels with round‐dependent hit probabilities

Naval Research Logistics Quarterly, 1975
AbstractThe effect of round dependent hit probabilities in the fundamental stochastic duel are examined. The general solution and several specific examples are derived where one side's hit probabilities are improved from round to round. For these specific cases the advantages of round to round improvement are explicitly displayed.
C. J. Ancker
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Stochastic duels with nonrepairable weapons

Naval Research Logistics Quarterly, 1970
This paper examines the effect of limitation, regarding weapons that are likely to fail during the period of deployment, on the final outcome in a stochastic duel model. Inter-firing times as well as inter-failure times have been assumed to be exponentially distributed.
Niketh Bhashyam
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A kind of stochastic duel model for guerrilla war

European Journal of Operational Research, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liwei Liu, Jun Yu, Zhi Guo
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The Status of Developments in the Theory of Stochastic Duels—II

Operations Research, 1967
This 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 ...
C. J. Ancker
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The distribution of rounds fired in stochastic duels

Naval Research Logistics Quarterly, 1964
AbstractThis 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.
C. J. Ancker, A. V. Gafarian
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Stochastic duels with displacements (suppression)

Naval Research Logistics Quarterly, 1981
AbstractThe 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.
Gethin Williams, C. J. Ancker
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