A Stochastic Approach to a Combined Parallel System

Unozkan H., Yilmaz M.

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, vol.60, no.1, pp.81-87, 2021 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 1
  • Publication Date: 2021
  • Journal Name: INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), zbMATH
  • Page Numbers: pp.81-87
  • Keywords: Bivariate geometric distribution, exponentially distributed components, reliability analyses, stochastic process, Markov chain, RANDOM MINIMA, BIVARIATE, DISTRIBUTIONS, PRESERVATION, ORDERS, MAXIMA
  • Ankara University Affiliated: Yes

Abstract

This paper is aimed to introduce a parallel system consisting of random number of components according to a bivariate geometric distribution. The structure of this system is that it initially includes two components combined with parallel and then there are random component additions to these two core components in every discrete time. This situation gives a specific system structure and the stochastic process of this system structure is examined.