Transactions of KarRC RAS :: Scientific publications
Transactions of KarRC RAS :: Scientific publications

Transactions of KarRC RAS :: Scientific publications
Karelian Research Centre of RAS
ISSN (print): 1997-3217
ISSN (online): 2312-4504
Transactions of KarRC RAS :: Scientific publications
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Transactions of KarRC RAS :: Scientific publications

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SCIENTIFIC PUBLICATIONS
Энатская Н.Ю.
Вероятностный анализ максимальных заполнений в моделях размещения частиц по ячейкам
Enatskaya N.Yu. Probability analysis of maximum occupation in models of particle placement to cells // Transactions of Karelian Research Centre of Russian Academy of Science. No 4. Mathematical Modeling and Information Technologies. 2024. Pp. 49-54
Keywords: particle placement; maximum cell occupancy; numbering problem; modeling
The probabilistic distributions of maximum cell occupancylevels (problem 2) and the numbers of outcomes given their fixed values are studied in models of equiprobable outcomes of the schemes for placing R particles in n cells. The schemes differ in all possible pairwise qualities of cells and particles in terms of their distinguishability. A method for probabilistic analysis of the schemes is proposed, which consists in recalculating the previously obtained results when finding the probabilistic distributions of the minimum cell occupancy levels (problem 1) for certain ratios of their parameters. This technique is based on a specially constructed procedure for coordinated placement of two types of particles of the same quality in terms of distinguishability in the same cells in each scheme studied in problem 2 and its analog with its own number of particles in the scheme studied in problem 1.In this regard, a number of auxiliary novel results were obtained.
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  Last modified: July 16, 2024