ПРО ІГРОВУ ЗАДАЧУ ПОШУКУ РУХОМИХ ОБ’ЄКТІВ ДЛЯ МОДЕЛІ НАПІВМАРКІВСЬКОГО ТИПУ
A pursuit problem on multi-dimensional integer lattice is considered for the case when position and velocity of the evader constitute a process of semi-Markovian type. A formula for transition probability of the embedded Markov chain is obtained. А formula is found for the transition probability for...
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| Date: | 2006 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2006
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| Online Access: | https://jais.net.ua/index.php/files/article/view/251 |
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| Journal Title: | Problems of Control and Informatics |
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Problems of Control and Informatics| Summary: | A pursuit problem on multi-dimensional integer lattice is considered for the case when position and velocity of the evader constitute a process of semi-Markovian type. A formula for transition probability of the embedded Markov chain is obtained. А formula is found for the transition probability for the nonhomogenous Markov chain that describes motion of the evader. А formula is derived for the probability of non-detection before certain moment of time. Optimization of the probability of detection before moment 2 for a special type of distribution of the evader’s strategies is considered as an example. |
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