TY - JOUR
T1 - Availability and reliability of a parallel system under imperfect repair and replacement
T2 - analysis and cost optimization
AU - Temraz, Neama Salah Youssef
N1 - Publisher Copyright:
© 2019, The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden.
PY - 2019/10/1
Y1 - 2019/10/1
N2 - 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.
AB - 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.
KW - Availability
KW - Lagrange multiplier
KW - Markov models
KW - Optimization
KW - Penalty function
KW - Reliability
UR - http://www.scopus.com/inward/record.url?scp=85073800479&partnerID=8YFLogxK
U2 - 10.1007/s13198-019-00829-2
DO - 10.1007/s13198-019-00829-2
M3 - Article
AN - SCOPUS:85073800479
SN - 0975-6809
VL - 10
SP - 1002
EP - 1009
JO - International Journal of System Assurance Engineering and Management
JF - International Journal of System Assurance Engineering and Management
IS - 5
ER -