• Media type: E-Article
  • Title: Optimal number of units for a parallel system
  • Contributor: Nakagawa, Toshio
  • imprint: Cambridge University Press (CUP), 1984
  • Published in: Journal of Applied Probability
  • Language: English
  • DOI: 10.1017/s0021900200024815
  • ISSN: 0021-9002; 1475-6072
  • Keywords: Statistics, Probability and Uncertainty ; General Mathematics ; Statistics and Probability
  • Origination:
  • Footnote:
  • Description: <jats:p>This paper considers a problem of determining the optimal number of units for a parallel redundant system. The optimal number <jats:italic>N∗</jats:italic> to minimize the expected cost is given by a unique solution of equations. When the system is replaced before failure at time <jats:italic>T</jats:italic>, the optimal <jats:italic>N∗</jats:italic> and <jats:italic>T∗</jats:italic> are discussed, and a computing procedure for obtaining these values is specified.</jats:p>