Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components

Wang, Junrui; Yan, Rongfang; Lu, Bin

doi:10.3390/math8040470

You are currently on the new version of our website. Access the old version .

Article

29 March 2020

18 Pages

Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components

and

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Author to whom correspondence should be addressed.

Mathematics2020, 8(4), 470;https://doi.org/10.3390/math8040470

Version Notes

Order Reprints

Abstract

This paper deals with stochastic comparisons of two parallel (series) systems with Type II half logistic-resilience scale (TIIHL-RS) distribution components with different baseline distribution functions. Under the conditions of interdependency and independency, the research shows that the system performance is better (worse) with the stronger component heterogeneity in the parallel (series) system under the usual stochastic order and the (reversed) hazard rate order.

Keywords:

stochastic order; majorization order; Type II half logistic-resilience scale distribution; parallel system; series system

Article Metrics

Citations

Article Access Statistics

Journal Statistics

Multiple requests from the same IP address are counted as one view.

A Remarkable Property of Concircular Vector Fields on a Riemannian Manifold

Dimensionality-reduction Procedure for the Capacitated p-Median Transportation Inventory Problem