Department of Mathematics, Kharkiv National University, Kharkiv, Ukraine

Publications

• Mini Review   
  Lingering Classes Based Numerical Model of the PC Frameworks Dependability
  Author(s): Malik Jain*
  
  A Residual Classes based mathematical model emerges as a sophisticated and powerful framework for assessing the reliability of computer systems, transcending conventional paradigms by offering a dynamic and comprehensive perspective on system robustness. Rooted in modular arithmetic and congruence theory, this model elegantly represents the intricate interplay of components within a computer system by partitioning its state space into distinct residue classes, each encapsulating a unique configuration of component states. This partitioning facilitates the characterization of system reliability through residual class transformations, enabling the modelling of fault propagation, error recovery, and fault tolerance mechanisms with remarkable clarity. The essence of this model lies in its ability to capture the nuanced interactions between various components and th.. Read More»
  DOI: 10.37421/2168-9679.2023.12.532

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