Redundancy in Two-series-parallel and Two-parallel-series Systems with Independent Components Randomly Chosen from Two Batches

In this paper, we study two-series-parallel and two-parallel-series systems with independent components that are randomly chosen from two different batches. We assume the components from the first batch to be more reliable than those from the second batch with respect to the stochastic order. We the...

Full description

Saved in:
Bibliographic Details
Published in:Methodology and computing in applied probability Vol. 27; no. 4; p. 97
Main Authors: Fang, Longxiang, Ruan, Yu, Balakrishnan, N.
Format: Journal Article
Language:English
Published: New York Springer US 01.12.2025
Springer Nature B.V
Subjects:
Business and Management
Computer centers
Economics
Electrical Engineering
Life Sciences
Mathematics and Statistics
Random variables
Redundancy
Statistics
Subsystems
60E15
Active redundancy
Two-series-parallel system
Two-parallel-series system
Redundancy allocation
Minimal repair
62G30
Distortion distribution
ISSN:1387-5841, 1573-7713
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we study two-series-parallel and two-parallel-series systems with independent components that are randomly chosen from two different batches. We assume the components from the first batch to be more reliable than those from the second batch with respect to the stochastic order. We then use distortion functions to obtain general results for different redundancy procedures, including the popular active redundancy and minimal repair procedures. The purpose is to determine which batch of components the redundancy should be placed in the system for each subsystem, according to its structure. For a two-parallel-series system, we present some conditions and show that the redundancy mechanism should be assigned to the component from the weaker batch. But, for a two-series-parallel system, under some conditions, we show that the best option is to assign the redundancy to the component from the better batch. Finally, some examples are presented for illustrating all the results established here.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1387-5841
1573-7713
DOI:10.1007/s11009-025-10229-8