Ageing Orders of Series-Parallel and Parallel-Series Systems with Independent Subsystems Consisting of Dependent Components

Authors

  • Ghobad Barmalzan Department of Statistics, University of Zabol, Sistan and Baluchestan, IRAN
Abstract:

In this paper, we consider series-parallel and parallel-series systems with independent subsystems consisting of dependent homogeneous components whose joint lifetimes are modeled by an Archimedean copula. Then, by considering two such systems with different numbers of components within each subsystem, we establish hazard rate and reversed hazard rate orderings between the two system lifetimes, and also discuss how these systems age relative to each other in terms of hazard rate and reversed hazard rate functions.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Stochastic Comparisons of Series and Parallel Systems with Heterogeneous Extended Generalized Exponential Components

In this paper, we discuss the usual stochastic‎, ‎likelihood ratio, ‎dispersive and convex transform order between two parallel systems with independent heterogeneous extended generalized exponential components. ‎We also establish the usual stochastic order between series systems from two independent heterogeneous extended generalized exponential samples. ‎Finally, ‎we f...

full text

A Multi Objective Optimization Model for Redundancy Allocation Problems in Series-Parallel Systems with Repairable Components

The main goal in this paper is to propose an optimization model for determining the structure of a series-parallel system. Regarding the previous studies in series-parallel systems, the main contribution of this study is to expand the redundancy allocation parallel to systems that have repairable components. The considered optimization model has two objectives: maximizing the system mean time t...

full text

A fuzzy reliability model for series-parallel systems

Fuzzy set based methods have been proved to be effective in handling many types of uncertainties in different fields, including reliability engineering. This paper presents a new approach on fuzzy reliability, based on the use of beta type distribution as membership function. Considering experts' ideas and by asking operators linguistic variables, a rule base is designed to determine the level ...

full text

Redundancy Allocation Combined with Supplier Selection for Design of Series-parallel Systems

In this paper a redundancy allocation problem is studied where for the first time the supplier selection is taken into consideration and redundant components are provided from appropriate suppliers with the most suitable offers such as discount on buying price of components, warranty length for components, things like that, so that the system reliability, profit and the warranty length proposed...

full text

Preservation of Stochastic Orderings of Interdependent Series and Parallel Systems by Componentwise Switching to Exponentiated Models

This paper discusses the preservation of some stochastic orders between two interdependent series and parallel systems when the survival and distribution functions of all components switch to the exponentiated model. For the series systems, the likelihood ratio, hazard rate, usual, aging faster, aging intensity, convex transform, star, superadditive and dispersive orderings, and for the paralle...

full text

Reliability Analysis of Three Elements Series and Parallel Systems under Time-varying Fuzzy Failure Rate

Reliability is the most important performance issue in the engineering design process but in the real world problems, there are limitations for using the conventional reliability. Fuzzy logic has proved to be effective in expressing uncertainties in different fields, including reliability engineering. In this paper, For both the series and parallel systems composed of three identical or differe...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 20  issue 1

pages  83- 100

publication date 2021-06

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023