On optimal grouping and stochastic comparisons for heterogeneous items

JOURNAL OF MULTIVARIATE ANALYSIS

卷:160

Article

Hazra, Nil Kamal¹  Finkelstein, Maxim^1,2  Cha, Ji Hwan³ 

[1] Univ Free State, Dept Math Stat & Actuarial Sci, 339 Bloemfontein, ZA-9300 Bloemfontein, South Africa

[2] ITMO Univ, St Petersburg, Russia

[3] Ewha Womans Univ, Dept Stat, Seoul 120750, South Korea

关键词: Majorization order;    Parallel system;    Reliability;    Schur-convex/concave function;    Series system;    Stochastic orders;   

DOI  :  10.1016/j.jmva.2017.06.006

来源: Elsevier

【 摘 要 】

In this paper, we consider series and parallel systems composed of n independent items drawn from a population consisting of in differentsubstocks/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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free