Advances in System Reliability Engineering

Mangey Ram, J. Paulo Davim

• Publisher: Academic Press
• Year: 2018
• Print ISBN: 9780128159064
• eBook ISBN: 9780128162729
• Topic: Tecnología e ingeniería
• Subtopic: Ingeniería mecánica

Recent Advances in System Reliability Engineering describes and evaluates the latest tools, techniques, strategies, and methods in this topic for a variety of applications. Special emphasis is put on simulation and modelling technology which is growing in influence in industry, and presents challenges as well as opportunities to reliability and systems engineers. Several manufacturing engineering applications are addressed, making this a particularly valuable reference for readers in that sector.- Contains comprehensive discussions on state-of-the-art tools, techniques, and strategies from industry- Connects the latest academic research to applications in industry including system reliability, safety assessment, and preventive maintenance- Gives an in-depth analysis of the benefits and applications of modelling and simulation to reliability

Chapter 1

Delay-Time-Based Maintenance Modeling for Technical Systems—Theory and Practice

Sylwia Werbińska-Wojciechowska Department of Operation and Maintenance of Logistic Systems, Transportation Systems and Hydraulic Systems, Wroclaw University of Science and Technology, Wroclaw, Poland

Abstract

This chapter will be a valuable resource for understanding the latest developments in maintenance modeling issues in the field of delay-time approach implementation. This chapter presents the literature review on delay-time modeling for single- and multiunit systems. The maintenance models for single-unit systems assume two-stage or three-stage failure processes. In the case of complex systems, the discussed problems are with regard to models’ parameters, estimation issues, case studies analysis, or hybrid modeling approach implementation. The maintenance models for multiunit systems examine the known models for nonseries systems. A case study for maintenance modeling for multiunit systems based on a delay-time approach is provided. The directions for further research work are defined.

Keywords

Delay-time concept; Multiunit systems; Literature review; Maintenance modeling; Optimization

Abbreviations

AIC Akaike information criterion

BI Block Inspection

CM corrective maintenance

DT delay time

DTA delay-time approach

DTM delay-time models

ELECTRE elimination and choice expressing the reality

HPP homogeneous Poisson process

MAUT multiattribute utility theory

MC Monte Carlo

MLE maximum likelihood estimation

MRT mean repair time

MTBF mean time between failures

NHPP nonhomogeneous Poisson process

PAR proportional age reduction

PM preventive maintenance

PROMETHEE preference ranking organization method for enrichment evaluations

Important Notations

c(T_in) expected cost over each inspection cycle

c(T_ini) expected cost over ith inspection cycle

C(T_in) total costs resulting from chosen maintenance policy

c_cs clean-up cost connected with cleaning up any spillage that may result in a failure

c_in cost of inspection action performance

c_p cost of preventive replacement of a unit

c_r cost of failed unit replacement

d_in time of single inspection action performance

d_p the time of preventive replacement of a system

d_r time of corrective replacement of a system (after a failure)

E[x] expected value of random variable x

E_d(T_in) expected downtime in an inspection cycle of length T_in

F(t) probability distribution function of system/unit lifetime; $\overline{F}$

(t)=1−F(t)

F_h(h) probability distribution function of system delay time

f_h(h) probability density function of system delay time

F_hi(h) probability distribution function of ith element delay time

f_hi(h) probability density function of ith element delay time

G_h(t) probability distribution function of the initial time u, which elapses from the beginning of operation by “as good as new” elements of a system until the moment of first symptoms of failure occurrence

g_h(t) probability density function of the initial time u, which elapses from the beginning of operation by “as good as new” elements of a system until the moment of first symptoms of failure occurrence

G_hi(t) probability distribution function of initial time u of ith element in a system

g_hi(t) probability density function of initial time u of ith element in a system

h delay time of a defect, denoting the period between the moment of appearance of the first symptoms of potential failure and the moment of an object's failure occurrence

k_u constant rate for fault's arrival in a technical system for any inspection period

M_cs measure of possible impact of a failure of a piece of equipment on an environment

M_env(T_in) environmental model of a technical object

m number of failures until element replacement

n number of elements in a system

n_k minimum number of operating components to make a system function (performance in n_k-out-of-n reliability structure)

N_rin(t^i–1_in, tⁱ_in) expected number of failures over inspection interval (t^i–1_in, tⁱ_in)

p_cs probability of a failure resulting in a spillage requiring clean up

p_in probability of imperfect inspection occurrence

P_uF(T_in) probability of a fault arising as a breakdown in a system

p_w probability that, during system inspection, performance symptoms of forthcoming failures (if they occur in a system) are identified

R(t) reliability function of a system

R_Tin(t) component reliability at time t

R_Tini^c a cubic approximation of average reliability over an ith inspection

R_Tini^L a linear approximation of average reliability over an ith inspection

r_mr repair cost rate

r_Tin⁽ⁱ⁾(t) reliability function for a component at time t

r˙^(k)_Tin(kT_in) left-hand derivative of reliability function at t = kT_in

t_f r...

Table of contents

• Cover image
• Title page
• Table of Contents
• Copyright
• Contributors
• Editors Biography
• Preface
• Acknowledgments
• Chapter 1: Delay-Time-Based Maintenance Modeling for Technical Systems—Theory and Practice
• Chapter 2: Deterministic and Probabilistic Safety Analyses
• Chapter 3: Reliability-Game Theory
• Chapter 4: Integrating Reliability Models and Adaptive Algorithms for Wind Power Forecasting
• Chapter 5: Time-Dependent Analysis of Series-Parallel Multistate Systems Using Structure Function and Markov Processes
• Chapter 6: Modeling Correlated Counts in Reliability Engineering
• Chapter 7: Statistical Inference of an Imperfect Repair Model with Uniform Distributed Repair Degrees
• Chapter 8: Method of Fuzzy Perfectness in Human Reliability Analysis: Selection of Performance Conditions
• Chapter 9: System Reliability Assessment Through Bayesian Network Modeling
• Chapter 10: Multistate Multifailures System Analysis With Reworking Strategy and Imperfect Fault Coverage
• Chapter 11: Software Patch Scheduling Policy Incorporating Functional Safety Standards
• Chapter 12: Tools and Techniques in Software Reliability Modeling
• Index