Availability and reliability of a parallel system under imperfect repair and replacement: analysis and cost optimization

In present paper, analysis of a parallel system with independent and identical units is introduced where the life and repair times follow general distribution. It is supposed that the repair rate of each component can be either perfect or imperfect and after the component is imperfectly repaired, it...

Full description

Saved in:
Bibliographic Details
Published in:International journal of system assurance engineering and management 2019-10, Vol.10 (5), p.1002-1009
Main Author: Temraz, Neama Salah Youssef
Format: Article
Language:English
Subjects:
Algorithms
Cost analysis
Engineering
Engineering Economics
Lagrange multiplier
Logistics
Marketing
Markov chains
Mathematical models
Optimization
Optimization techniques
Organization
Original Article
Penalty function
Probability distribution functions
Quality Control
Reliability
Reliability analysis
Repair
Safety and Risk
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In present paper, analysis of a parallel system with independent and identical units is introduced where the life and repair times follow general distribution. It is supposed that the repair rate of each component can be either perfect or imperfect and after the component is imperfectly repaired, it can be replaced by another new one. Markov models are used to construct the mathematical model of the system. Analysis of the availability and reliability functions of the model is discussed when the failure, repair, imperfect repair and replacement rates are general and as a special case the exponential distribution is discussed. Optimization problem is introduced in each case in order to minimize the cost of each component of the system. Algorithms based on Lagrange multiplier, penalty function methods are used to solve the introduced optimization problems in each case. Different applications are given to show how the optimization techniques can be applied.
ISSN:0975-6809
0976-4348
DOI:10.1007/s13198-019-00829-2