On optimal grouping and stochastic comparisons for heterogeneous items

Nil Kamal Hazra, Maxim Finkelstein, Ji Hwan Cha

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


In this paper, we consider series and parallel systems composed of n independent items drawn from a population consisting of m different substocks/subpopulations. We show that for a series system, the optimal (maximal) reliability is achieved by drawing all items from one substock, whereas, for a parallel system, the optimal solution results in an independent drawing of all items from the whole mixed population. We use the theory of stochastic orders and majorization orders to prove these and more general results. We also discuss possible applications and extensions.

Original languageEnglish
Pages (from-to)146-156
Number of pages11
JournalJournal of Multivariate Analysis
StatePublished - Aug 2017


  • Majorization order
  • Parallel system
  • Reliability
  • Schur-convex/concave function
  • Series system
  • Stochastic orders


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