Topics are
- Redundancy for Reliability
- Reliability Optimization
- Systems Reliability Analysis
- Bayesian Reliability Analysis
- Fuzzy Reliability Analysis
- Using Genetic Algorithm
- Using Ant Colony Optimization
- Maintenance
\begin{equation}{\label{a}}\tag{A}\mbox{}\end{equation}
Redundancy for Reliability.
\item Ghare, P.M. and Taylor, R.E.:
Optimal Redundancy for Reliability in Series Systems,
{\em Operations Research} 17 (1969) 838-847.
\item Hsieh, Y.-C.:
A Linear Approximation for Redundant Reliability Problems with Multiple Component Choices,
{\em Computers and Industrial Engineering} 44 (2002) 91-103.
\item Levitin, G. and Lisnianski, A.:
Joint Redundancy and Maintenance Optimization for Multistate Series-Parallel
Systems,
{\em Reliability Engineering and System Safety} 64 (1999) 33-42.
\item Levitin, G., Lisnianski, A., Ben-Haim, H. and Elmakis, D.:
Redundancy Optimization for Series-Parallel Multi-State Systems,
{\em IEEE Trans. on Reliability} 47 (1998) 165-171.
\item Liang, Y.-C. and Chen, Y.-C.:
Redundancy Allocation of Series-Parallel Systems Using a Variable
Neighborhood Search Algorithm,
{\em Reliability Engineering and System Safety} 92 (2007) 323-331.
\item Ramirez-Marquez, J.E. and Coit, D.W.:
A Heuristic for Solving the Redundancy Allocation Problem for
Multi-State Series-Parallel Systems,
{\em Reliability Engineering and System Safety} 83 (2004) 341-349.
\item You, P.-S. and Chen, T.-C.:
An Efficient Heuristic for Series-Parallel Redundant Reliability Problems,
{\em Computers and Operations Research} 32 (2005) 2117-2127.
\item Yun, W.Y. and Kim, J.W.:
Multi-Level Redundancy Optimization in Series Systems,
{\em Computers and Industrial Engineering} 46 (2004) 337-346.
\item Yun, W.Y., Song, Y.M. and Kim, H.-G.:
Multiple Multi-Level Redundancy Allocation in Series Systems,
{\em Reliability Engineering and System Safety} 92 (2007) 308-313.
\begin{equation}{\label{b}}\tag{B}\mbox{}\end{equation}
Reliability Optimization.
\item Ha, C. and Kuo, W.:
Reliability Redundancy Allocation: An Improved Realization for Nonconvex Nonlinear Programming Problems,
{\em European Journal of Operational Research} 171 (2006) 24-38.
\item Gayton, N., Bourinet, J.M. and Lemaire, M.:
CQ2RS: A New Statistical Approach to the Response Surface Method
for Reliability Analysis,
{\em Structural Safety} 25 (2003) 99-121.
\item Kuo, W. and Prasad, V.R.:
An Annotated Overview of System-Reliability Optimization,
{\em IEEE Trans. on Reliability} 49 (2000) 176-187.
\item Misra, K.B. and Sharma, U.:
An Efficient Algorithm to Solve Integer-Programming Problems Arising
in System-Reliability Design,
{\em IEEE Trans. on Reliability} 40 (1991) 81-91.
\item Nourelfath, M. and Nahas, N.:
Quantized Hopfield Networks for Reliability Optimization,
{\em Reliability Engineering and System Safety} 81 (2003) 191-196.
\item Prasad, V.R. and Kuo, W.:
Reliability Optimization of Coherent Systems,
{\em IEEE Trans. on Reliability} 49 (2000) 323-330.
\item Sung, C.S. and Cho, Y.K.:
Reliability Optimization of a Series System with Multiple-Choice and
Budget Constraints,
{\em European Journal of Operational Research} 127 (2000) 159-171.
\item Taboada, H.A., Baheranwala, F., Coit, D.W. and Wattanapongsakorn, N.:
Practical Solutions for Multi-objective Optimization: An Application to
System Reliability Design Problems,
{\em Reliability Engineering and System Safety} 92 (2007) 314-322.
\item Xu, Z., Kuo, W. and Lin, H.-H.:
Optimization Limits in Improving System Reliability,
{\em IEEE Trans. on Reliability} 39 (1990) 51-60.
\begin{equation}{\label{c}}\tag{C}\mbox{}\end{equation}
Systems Reliability Analysis.
\item Barlow, R.E. and Wu, A.S. : Coherent Systems,
{\em Mathematics of Operations Research} 3 (1978) 275-281.
\item Baxter, L.A. : Continum Structure I,
{\em J. of Applied Probability} 21 (1984) 802-815.
\item Baxter, L.A. : Continum Structure II,
{\em Math. Proc. Comb. Phil. Soc.} 99 (1986) 331-338.
\item Block, H.W. and Savits, T.H. :
A Decomposition for Multistate Monotone Systems,
{\em J. of Applied Probability} 19 (1982) 391-402.
\item Block, H.W. and Savits, H.T. :
Continuous Multistate Structure Functions,
{\em Operations Research} 32 (1984) 703-714.
\item Chen, H. \& Zhou, J. :
Reliability Optimization in Generalized Stochastic-Flow Networks,
{\em IEEE Trans. Reliability} 40 (1991) 92-97.
\item Cheng, K. and Zhang, Y.L.:
Analysis for a Consecutive-k-out-of-n: F Repairable System with Priority
in Repair,
{\em International Journal of Systems Science} 32 (2001) 591-598.
\item El-Neweihi, E., Proschan, F. and Sethuraman, J. :
Multistate Coherent Systems,
{\em J. of Applied Probability} 15 (1978) 675-688.
\item Elsayed, E.A. and Zebib, A. : A Repairable Multistate Device,
{\em IEEE Transactions on Reliability} 28 (1979) 81-82.
\item Gen, M., Ida, K., Sasaki, M. \& Lee, J.U. :
Algorithm for Solving Large-Sacle 0-1 Goal Programming and Its Application
to Reliability Optimization Problem,
{\em Computers and Industrial Engineering} 17 (1989) 525-530.
\item Gera, A.E.:
A Consecutive k-out-of-n:G System with Dependent Elements — A Matrix
Formulation and Solution,
{\em Reliability Engineering and System Safety} 68 (2000) 61-67.
\item Griffth, W.S. : Multistate Reliability Models,
{\em J. of Applied Probability} 17 (1980) 735-744.
\item Lam, Y. and Zhang, Y.L.:
Repairable Consecutive-k-out-of-n: F System with Markov Dependence,
{\em Naval Research Logistics} 47 (2000) 18-39.
\item Legat, V., Zaludova, A.H., Cervenka, V. and Jurca, V.:
Contribution to Optimization of Preventive Replacement,
{\em Reliability Engineering and System Safety} 51 (1996) 259-266.
\item Mastran, D.V. : Incorporating Component and System Test Data into the Same Assessment,
{\em Operations Research} 24 (1976) 491-499.
\item Misra, K.B. :
Search Procedure to Solve Integer Programming Problems Arising in Reliability Design of a System,
{\em Int. J. System Sci.} 22 (1991) 2153-2169.
\item Nadarajah, S.:
Reliability for Laplace Distributions,
{\em Mathematical Problems in Engineering} 2004:2 (2004) 169-183.
\item Nadarajah, S.:
Reliability for Some Bivariate Beta Distributions,
{\em Mathematical Problems in Engineering} 2005:1 (2005) 101-111.
\item Nadarajah, S.:
Reliability for Some Bivariate Gamma Distributions,
{\em Mathematical Problems in Engineering} 2005:2 (2005) 151-163.
\item Nadarajah, S. and Kotz, S.:
Reliability for Some Bivariate Exponential Distributions,
{\em Mathematical Problems in Engineering}.
\item Nakagawa, T. : Replacement Problem of a Parallel System in Random
Environment,
{\em J. of Applied Probability} 16 (1979) 203-2-5.
\item Natvig, B. :
Two Suggestions of How to Define a Multistate Coherent System,
{\em Advances in Applied Probability} 14 (1982) 434-455.
\item Ohi, F. and Nishida, T., On Multistate Coherent System,
{\em IEEE Transactions on Reliability} 33 (1984) 284-288.
\item Painton, L. \& Campbell, J. :
Genetic Algorithms in Optimization of System Reliability,
{\em IEEE Transaction on Reliability} 44 (1995) 172-178.
\item Petrovi\'{c}, D. :
Decision Support for Improving System Reliability by Redundancy,
{\em European J. Operational Research} 55 (1991) 357-367.
\item Rackwitz, R.:
Reliability Analysis — A Review and Some Perspectives,
{\em Structural Safety} 23 (2001) 365-395.
\item Rade, L. :
Reliability Systems in Random Environment,
{\em J. of Applied Probability} 13 (1976) 407-410.
\item Roberts, I.D. \& Samuel, A.E. :
The Use of Imprecise Component Reliability Distribution in Reliability
Calculations,
{\em IEEE Transactions on Reliability} 45 91996) 141-144.
\item Ross, S.M. : Miltivalued State Component Systems,
{\em The Annals of Probability} 7 (1979) 379-383.
\item Wang, K.S., Tsai, Y.-T. and Lin, C.-H.:
A Study of Replacement Policy for Components in a Mechanical System,
{\em Reliability Engineering and System Safety} 58 (1997) 191-199.
\item Xu, Z. :
Optimization Limits in Improving System Reliability,
{\em IEEE Transactions on Reliability} 39 (1990) 51-60.
\item Yam, R.C.M., Zuo, M.J. and Zhang, Y.L.:
A Method for Evaluation of Reliability Indices for Repairable Circular
Consecutive-k-out-of-n: F Systems,
{\em Reliability Engineering and System Safety} 79 (2003) 1-9.
\item Yamashiro, M. :
A Repairable Multistate Device with General Repair Time,
{\em IEEE Transactions on Reliability} 29 (1980) 276.
\item Yeh, W.-C.: many articles that are not list.
\item Zhang, Y.L., Zuo, M.J. and Yam, R.C.M.:
Reliability Analysis for a Circular Consecutive-2-out-of-n:F Repairable
System with Priority in Repair,
{\em Reliability Engineering and System Safety} 68 (2000) 113-120.
\item Zhang, Y.L. and Wang, T.P.:
Repairable Consecutive-2-out-of-n: F System,
{\em Microelectronic Reliability} 36 (1996) 605-608.
\item Zhao, Y.-G. and Ono, T.:
A General Procedure for First/Second-Order Reliability Method (FORM/SORM),
{\em Structural Safety} 21 (1999) 95-112.
\begin{equation}{\label{d}}\tag{D}\mbox{}\end{equation}
Bayesian Reliability Analysis.
\item Azaiez, M.N. \& Bier, V.M. :
Perfect Aggregation in Bayesian Estimation for Several Realistic Reliability Models,
{\em Applied Mathematics and Computation} 64 (1994) 139-153.
\item Azaiez, M.N. \& Bier, V.M. :
Perfect Aggregation for a Class of General Reliability Models with Bayesian Updating,
{\em Applied Mathematics and Computation} 73 (1995) 281-302.
\item Azaiez, M.N. \& Bier, V.M. :
Aggregation Error in Bayesian Analysis of Reliability Systems,
{\em Management Science} 42 (1996) 516-528.
\item Bhattacharya, S.K. \& Tiwari, R.C. :
Hierarchical Bayesian Reliability Analysis Using Erlang Families of Prior
and Hyperpriors,
{\em Microelectrinics and Reliability} 32 (1994) 241-247.
\item Bhattacharya, S.K. \& Singh, N.K. :
Bayesian Reliability Analysis for the MED,
{\em Microelectrinics and Reliability} 34 (1994) 1685-1687.
\item Cole, P.V.Z. :
A Bayesian Reliability Assessment of Complex Systems for Binomial Sampling,
{\em IEEE Transactions on Reliability} 24 (1975) 114-117.
\item Martz, H.F. \& Waller, R.A. :
Bayesian Reliability Analysis of Series Systems of Binomial Subsystems
and Components,
{\em Technometrics} 30 (1988) 143-154.
\item Martz, H.F. \& Waller, R.A. :
Bayesian Reliability Analysis of Complex Series / Parallel Systems of
Binomial Systems and Components,
{\em Technometrics} 32 (1990) 407-416.
\item Mastran, D.V. \& Singpurwalla, N.D. :
A Bayesian Estimation of the Reliability Coherent Structures
{\em Operations Research} 26 (1978) 663-672.
\item Sharma, K.K. \& Bhutani, R.K. :
Bayesian Reliability Analysis of a Series System,
{\em Microelectrnics and Reliability} 34 (1994) 761-763.
\item Soland, R.M. :
Bayesian Analysis of the Weibull Process with Unknown Sacle and Shape
Parameters,
{\em IEEE Transactions on Reliability} 18 (1969) 181-184.
\item Thompson, W.E. \& Palicio, P.A. :
Bayesian Confidence Limits for the Availability of Systems,
{\em IEEE Transactions on Reliability} 24 ( 1975) 118-120.
\item Thompson, W.E. \& Haynes, R.D. :
On the Reliability, Availability and Bayes Confidence Intervals for
Multicomponent Systems,
{\em Naval Research Logistics Quarterly} 27 (1980) 345-358.
\begin{equation}{\label{e}}\tag{E}\mbox{}\end{equation}
Fuzzy Reliability Analysis.
\item Cai, K.Y. and Wen, C.Y. :
Street-lighting Lamps
Replacement : A Fuzzy Viewpoint,
{\em Fuzzy Sets and Systems} 37 (1990) 161-172.
\item Cai, K.Y., Wen, C.Y. and Zhang, M.L. : Fuzzy Variables as a
Basis for a Theory of Fuzzy Reliability in the Possibility Context,
{\em Fuzzy Sets and Systems} 42 (1991), 145-172.
\item Cai, K.Y., Wen, C.Y. and Zhang, M.L. : Posbist Reliability
Behavior of Typical Systems with Two Types of Failures,
{\em Fuzzy Sets and Systems} 43 (1991), 17-32.
\item Cai, K.Y., Wen, C.Y. and Zhang, M.L. :
A Novel Approach to Software Reliability Modeling,
{\em Microelectronics and Reliability} 33 (1993) 2265-2267.
\item Cai, K.Y., Wen, C.Y. and Zhang, M.L. : Fuzzy States as a Basis
for a Theory of Fuzzy Relaibility, {\em Microelectronics and Reliability} 33,
(1993), 2253-2263.
\item Cai, K.Y. :
System Failure Engineering and Fuzzy Methodology : An Introduction Overview,
{\em Fuzzy Sets and Systems} 83 91996) 113-133.
\item Chaudhuri, D. and Suresh, P.V. :
An Algorithm for Maintenance and Replacement Policy Using Fuzzy Set Theory,
{\em Reliability Engineering and System Safety} 50 (1995) 79-86.
\item Chen, S.-M. : Fuzzy System Reliability Analysis Using
Fuzzy Number Arithemetic Operations,
{\em Fuzzy Sets and Systems} 64 (1994), 31-38.
\item Cheng, C.-H. and Mon, D.-L. :
Fuzzy System Reliability Analysis by the Interval of Confidence,
Analysis by the Interval of Confidence,
{\em Fuzzy Sets and Systems} 56 (1993) 29-35.
\item Cho, H.-N., Choi, H.-H. and Kim, Y.-B.:
A Risk Assessment Methodology for Incorporating Uncertainties Using
Fuzzy Concepts,
{\em Reliability Engineering and System Safety} 78 (2002) 173-183.
\item Chou, K.C. \& Yuan, J. :
Fuzzy-Bayesian Approach to Reliability of Existing Structures,
{\em J. of Structural Engineering} 119 (1993) 3276-3290.
\item Chowdhury, S.G. and Misra, K.B. Misra :
Evaluation of Fuzzy Reliability of a Non-series Parallel Network,
{\em Microelectronics and Reliability} 32 (1992) 1-4.
\item Cooman, Gert de :
On Modeling Possibilistic Uncertainty in Two-State Reliability Theory,
{\em Fuzzy Sets and Systems} 83 (1996) 215-238.
\item Cutello, V., Momtero, J. and Tanez, J. :
Structure Functions with Fuzzy States,
{\em Fuzzy Sets and Systems} 83 (1996) 189-202.
\item Dunyak, J., Saad, I.W. and Wunsch, D.:
A Theory of Independent Fuzzy Probability for System Reliability,
{\em IEEE Trans. on Fuzzy Systems} 7 (1999) 286-294.
\item Gen, M. and Yun, Y.S.:
Soft Computing Approach for Reliability Optimization: State-of-the-Art
Survey,
{\em Reliability Engineering and System Safety} 91 (2006) 1008-1026.
\item George, A. \& Veeramani, P. :
On Some Results in Fuzzy Metric Spaces,
{\em Fuzzy Sets and Systems} 64 (1994) 395-399.
\item George, A. \& Veeramani, P. :
On Some Results of Analysis for Fuzzy Metric Spaces,
{\em Fuzzy Sets and Systems} 90 (1997) 365-368.
\item Guan, J. and Wu, Y.:
Repairable Consecutive-k-out-of-n:F System with Fuzzy States,
{\em Fuzzy Sets and Systems} 157 (2006) 121-142.
\item Ha, M., Cheng, L. \& Wang, X. :
Notes on Riesz’s Theorem on Fuzzy Metric Space
{\em Fuzzy Sets and Systems} 90 (1997) 361-363.
\item Hall, J.W. and Lawry, J.:
Fuzzy Label Methods for Constructing Imprecise Limit State Functions,
{\em Structural Safety} 28 (2003) 317-341.
\item Hong, D.H. \& Do, H.Y. :
Fuzzy System Reliability Analysis by the Use of Tw (the Weakest t-Norm) on
Fuzzy Number Arithmetic Operations,
{\em Fuzzy Sets and Systems} 90 (1997) 307-316.
\item Huang, H.-Z. :
Relaibility Analysis Method in the Presence of Fuzziness
Attached to Operating Time,
{\em Microelectronics and Reliability} 35 (1995) 1483-1487.
\item Huang, H.-Z., Wu, W.-D. and Liu, C.-S.:
A Coordination Method for Fuzzy Multiobjective Optimization of System
Reliability,
{\em Journal of Intelligent and Fuzzy Systems} 16 (2005) 213-220.
\item Huang, H.-Z., Zuo, M.J. and Sun, Z.-Q.:
Bayesian Reliability Analysis for Fuzzy Lifetime Data,
{\em Fuzzy Sets and Systems} 157 (2006) 1674-1686.
\item Jiang, Q. and Chen, C.-H.:
A Numerical Algorithm of Fuzzy Reliability,
{\em Reliability Engineering and System Safety} 80 (2003) 299-307.
\item Kanagawa, A. \& Ohta, H. :
Fuzzy Design for Fixed-Number Life Tests,
{\em IEEE Transactions on Reliability} 39 (1990) 394-398.
\item Keller, A.Z. and Kara-Zaitri, C. :
Further Applications of Fuzzy Logic
to Reliability Assessment,
{\em Microelectronics and Reliability} 29 (1989) 399-404.
\item Kenarangui, R. : Event-Tree Analysis by Fuzzy Probability,
{\em IEEE Transactions on Reliability} 40 (1991) 120-124.
\item Krishna, S.V. \& Sarma, K.K.M. :
Fuzzy Topological Vector Spaces – Topological Generation and Normality,
{\em Fuzzy Sets and Systems} 41 (1991) 89-99.
\item Krishna, S.V. \& Sarma, K.K.M. :
Fuzzy Continuity of Linear Maps on Vector Spaces,
{\em Fuzzy Sets and Systems} 45 (1992) 341-354.
\item Leuschen, M.L., Walker, I.D. and Cavallaro, J.R.:
Robot Reliability Through Fuzzy Markov Models,
{\em 1998 Proceedings Annual Reliability and Maintainability Symposium}
209-214.
\item Liang, G.-H. and Wang, M.-J. :
Evaluating Human Reliability Using Fuzzy Relation,
{\em Microelectronics and Reliability} 33 (1993) 63-80.
\item Liu, Y., Qiao, Z. \& Wang, G. :
Fuzzy Random Reliability of Structures Based on Fuzzy Random Variables,
{\em Fuzzy Sets and Systems} 86 (1997) 345-355.
\item Misra, K.B. and Weber, G.G. :
A New Method for Fuzzy Fault Tree Analysis,
{\em Microelectronics and Reliability} 29 (1989) 195-216.
\item Misra, K.B. and Weber, G.G. :
Use of Fuzzy Set Theory for Level-I
Studies in Probabilistic Risk Assessment,
{\em Fuzzy Sets and Systems} 37 (1990) 139-160.
\item Mon, D.-L. and Cheng, C.-H. : Fuzzy System Reliability
Analysis for Components with Different Membership Functions,
{\em Fuzzy Sets and Systems} 64 (1994), 145-157.
\item Morsi, N.N. :
On Fuzzy Pseudo-Normed Vector Spaces,
{\em Fuzzy Sets and Systems} 27 (1988) 351-372.
\item Morsi, N,N, \& Yehia, S.E. :
Continuity of Fuzzy Multiplication in the N-Euclidean Space,
{\em J. Math. Anal. Appl.} 46 (1992) 97-106.
\item Onisawa, T. : An Approach to Human Reliability in Man-machine
Systems Using Error Possibility,
{\em Fuzzy Sets and Systems} 27 (1988) 87-103.
\item Onisawa, T. :
An Application of Fuzzy Concept to Modelling of Reliability
Analysis, {\em Fuzzy Sets and Systems} 37 (1990) 267-286.
\item Onisawa, T. :
Subjective Analysis of System Reliability and its Analyzer,
{\em Fuzzy Sets and Systems} 83 (1996) 249-269.
\item Oussalah, M. and Newby, M.:
Analysis of Serial-Parallel Systems in the Framework of Fuzzy/Possibility
Approach. Part I. Apprasial: Case of Independent Components,
{\em Reliability Engineering and System Safety} 79 (2003) 353-368.
\item Park, K.S.:
Fuzzy Apportionment of System Reliability,
{\em IEEE Trans. on Reliability} 36 (1987) 129-132.
\item Ramachandran, V., Sankaranarayanan, V. and Seshasayee, S. :
Fuzzy Reliability Modelling-Linguistic Approach,
{\em Microelectronics and Reliability} 32 (1992) 1311-1318.
\item Ravi, V., Reddy, P.J. and Zimmermann, H.-J.:
Fuzzy Global Optimization of Complex System Reliability,
{\em IEEE Trans. on Fuzzy Systems} 8 (2000) 241-248.
\item Saraiva, J.T., Miranda, V. and Pinto, L.M.V:
Generation/Transmission Power System Reliability Evaluation by
Monte Carlo Simulation Assuming a Fuzzy Load Description,
{\em IEEE Trans. on Power System} 11 (1996) 690-695.
\item Shrestha, B.P., Reddy, R.K. and Duckstein, L.:
Fuzzy Reliability in Hydraulics,
IEEE (1990) 167-172.
\item Singer, D. :
A Fuzzy Set Approach to Fault Tree and Reliability Analysis,
{\em Fuzzy Sets and Systems} 34 (1990) 145-155.
\item Tanaka, H., Fan, L.T., Lai F.S. and Toguchi, K. :
Fault-Tree Analysis by Fuzzy Probability,
{\em IEEE Transactions on Reliability} 32 (1983) 453-457.
\item Taheri, S.M. and Zarei, R.:
Bayesian System Reliability Assessment under the Vague Environment,
{\em Applied Soft Computing} .
\item Utkin, L.V. :
Fuzzy Reliability of Repariable Syatems in the Possibility Context.
{\em Microelectronics and Reliability} 34 (1994) 1865-1876.
\item Utkin, L.V. Utkin : Knowledge Based Fuzzy Reliability Assessment,
{\em Microelectronics and Reliability} 34 (1994) 863-874.
\item Utkin, L.V. :
Redundancy Optimization by Fuzzy Reliability and Cost of
Systems Components,
{\em Microelectronics and Reliability} 34 (1994) 53-59.
\item Utkin, L.V. \& Gurov, S.V. :
A General Formal Approach for Fuzzy Reliability Analysis in the Possibility
Context,
{\em Fuzzy Sets and Systems} 83 (1996) 203-213.
\item Utkin, L.V., Gurov, S.V. \& Shubinsky, I.B. :
A Method to Solve Fuzzy Reliability Optimization Problem.
{\em Microelectronics and Reliability} 35 (1995) 171-181.
\item Wang, J.D. and Liu, T.S.:
Fuzzy Reliability Using a Discrete Stress-Strength Interference Model,
{\em IEEE Trans. on Reliability} 46 (1996) 145-149.
\item Wang, K.S., Po, H.J., Hsu, F.S. and Liu, C.S.:
Analysis of Equivalent Dynamic Reliability with Repairs under Partial
Information,
{\em Reliability Engineering and System Safety} 76 (2002) 29-42.
\item Xu, K., Tang, L.C., Xie, M., Ho, S.L. and Zhu, M.L.:
Fuzzy Assement of FMEA for Engine Systems,
{\em Reliability Engineering and System Safety} 75 (2002) 17-29.
\item Zhao, R. and Liu, B.:
Redundancy Optimization Problems with Uncertainty of Combining Randomness and Fuzziness,
{\em European Journal of Operational Research} 157 (2004) 716-735.
\item Zhao, R. and Liu, B.:
Standby Redundancy Optimization Problems with Fuzzy Lifetimes,
{\em Computers and Industrial Engineering} 49 (2005) 318-338.
\begin{equation}{\label{f}}\tag{F}\mbox{}\end{equation}
Using Genetic Algorithms.
\item Busacca, P.G., Marseguerra, M. and Zio, E.:
Multiobjective Optimization by Genetic Algorithms: Application to
Safety Systems,
{\em Reliability Engineering and System Safety} 72 (2001) 59-74.
\item Chiang, C.-H. and Chen, L.-H.:
Availability Allocation and Multi-Objective Optimization for
Parallel-Series Systems,
{\em European Journal of Operational Research} 180 (2007) 1231-1244.
\item Coit, D.W. and Smith, A.E.:
Reliability Optimization of Series-Parallel Systems Using a Genetic Algorithm,
{\em IEEE Trans. on Reliability} 45 (1996) 254-266.
\item Coit, D.W. and Smith, A.E.:
Penalty Guided Genetic Search for Reliability Design Optimization,
{\em Computers and Industrial Engineering} 30 (1996) 895-904.
\item Elegbede, C. and Adjallah, K.:
Availability Applocation to Repairable Systems with Genetic Algorithms:
A Multi-Objective Formulation,
{\em Reliability Engineering and System Safety} 82 (2003) 319-330.
\item Gen, M. and Cheng, R.:
Optimal Design of System Reliability Using Interval Programming and
Genetic Algorithms,
{\em Computers and Industrial Engineering} 31 (1996) 237-240.
\item Marseguerra, M. and Zio, E.:
Optimizing Maintenance and Repair Policies via a Combination of Genetic
Algorithms and Monte Carlo Simulation,
{\em Reliability Engineering and System Safety} 68 (2000) 69-83.
\item Marseguerra, M., Zio, E. and Podofillini, L.:
Condition-Based Maintenance Optimization by Means of Genetic Algorithms
and Monte Carlo Simulation,
{\em Reliability Engineering and System Safety} 77 (2002) 151-166.
\item Painton, L. and Campbell, J. : (GA for Reliability Optimization)
Genetic Algorithms in Optimization of System Reliability,
{\em IEEE Transaction on Reliability} 44 (1995) 172-178.
\item Taguchi, T., Yokota, T, and Gen, M.:
Reliability Optimal Design Problem with Interval Coefficients Using
Hybrid Genetic Algorithms,
{\em Computers and Industrial Engineering} 35 (1998) 373-376.
\item Tian, Z. and Zuo, M.J.:
Redundancy Allocation for Multi-State Systems Using Physical Programming
and Genetic Algorithms,
{\em Reliability Engineering and System Safety} 91 (2006) 1049-1056.
\item Tsai, Y.-T., Wang, K.-S. and Teng, H.-Y.:
Optimizing Preventive Maintenance for Mechanical Components Using Genetic
Algorithms,
{\em Reliability Engineering and System Safety} 74 (2001) 89-97.
\begin{equation}{\label{g}}\tag{G}\mbox{}\end{equation}
Using Ant Colony Optimization.
\item Liang, Y.-C. and Smith, A.E.:
An Ant Colony Optimization Algorithm for the Redundancy Allocation Problem,
{\em IEEE Trans. on Reliability} 53 (2004) 417-423.
\item Nahas, N. and Nourelfath, M.:
Ant System for Reliability Optimization of a Series System with
Multiple-Choice and Budget Constraints,
{\em Reliability Engineering and System Safety} 87 (2005) 1-12.
\item Nahas, N., Nourelfath, M. and Ait-Kadi, D.:
Coupling Ant Colony and the Degraded Ceiling Algorithm for the Redundancy Allocation Problem of Series-Parallel Systems,
{\em Reliability Engineering and System Safety} 92 (2007) 211-222.
\item Samrout, M., Yalaoui, F., Chatelet, E. and Chebbo, N.:
New Methods to Minimize the Preventive Maintenance Cost of Series-Parallel Systems Using Ant Colony Optimization,
{\em Reliability Engineering and System Safety} 89 (2005) 346-354.
\item Shelokar, P.S., Jayaraman, V.K. and Kulkarni, B.D.:
Ant Algorithm for Single and Multiobjective Reliability Optimization Problems,
{\em Quality and Reliability Engineering International} 18 (2002) 497-514.
\item Zhao, J.-H., Liu, Z. and Dao, M.-T.:
Reliability Optimization Using Multiobjective Ant Colony System Approaches,
{\em Relibaility Engineering and System Safety} 92 (2007) 109-120.
\begin{equation}{\label{h}}\tag{H}\mbox{}\end{equation}
Maintenance.
\item Assaf, D. \& Shanthikumar, J.G. :
Optimal Graoup Maintenance Polices with Continuous and Periodic Inspections,
{\em Management Sciences} 33 (1987) 1440-1452.
\item Barlow, R.E. and Hunter, L.:
Optimum Preventive Maintenance Policies,
{\em Operations Research} 8 (1960) 90-100.
\item Birge, J.R., Frenk, J.B.G., Mittenthal, J. \& Rinnooy Kan, A.H.G. :
Single-Machine Scheduling Subject to Stochastic Breakdowns,
{\em Naval Research Logistics} 37 (1990) 661-677.
\item Birge, J.R. \& Glazebrook, K.D. :
Assessing the Effects of Machine Breakdowns in Stochastic Scheduling,
{\em Operations Research Letters} 7 (1988) 267-271.
\item Bris, R., Chatelet, E. and Yalaoui, F.:
New Method to Minimize the Preventive Maintenance Cost of Series-Parallel
Systems,
{\em Reliability Engineering and System Safety} 82 (2003) 247-255.
\item Chaudhuri, D. \& Suresh, P.V. :
An Algorithm for Maintenance and Replacement Policy Using Fuzzy Set Theory,
{\em Reliability Engineering and System Safety} 50 (1995) 79-86.
\item Chung, C.-S. \& Flynn, J. :
A Branch and Bound Algorithm for Computing Optimal Replacement Policies
in k-out-of-N Systems,
{\em Operations Research} 43 (1995) 826-837.
\item Huang, C.J., Lin, C.E. \& Huang, C.L. :
Fuzzy Approach for Generator Maintenance Scheduling,
{\em Electric Power Systems Research} 24 (1992) 31-38.
\item Levitin, G. and Lisnianski, A.:
Optimization of Imperfect Preventive Maintenance for Multi-State Systems,
{\em Reliability Engineering and System Safety} 67 (2000) 193-203.
\item Marseguerra, M. and Zio, E.:
Optimizing Maintenance and Repair Policies via a Combination of Genetic
Algorithms and Monte Carlo Simulation,
{\em Reliability Engineering and System Safety} 68 (2000) 69-83.
\item Marseguerra, M., Zio, E. and Podofillini, L.:
Condition-Based Maintenance Optimization by Means of Genetic Algorithms
and Monte Carlo Simulation,
{\em Reliability Engineering and System Safety} 77 (2002) 151-166.
\item Ritchken, P. \& Wilson, J.G. :
(m,T) Group Maintenance Polices,
{\em Management Sciences} 36 (1990) 632-639.
\item Singer, D. : Fuzzy Algorithms for Planning the Maintenance of Large
Systems with Insufficient Resources,
{\em Int. J. Systems Sci.} 21 (1990) 2199-2208.
\item Suresh, P.V., Chaudhuri, D. \& Rao, B.V.A. : Fuzzy Set Approach to
Select Maintenance Strategies for Multistate Equipmeny,
{\em IEEE Trans. Reliability} 43 (1994) 451-456.
\item Tsai, Y.-T., Wang, K.-S. and Teng, H.-Y.:
Optimizing Preventive Maintenance for Mechanical Components Using Genetic
Algorithms,
{\em Reliability Engineering and System Safety} 74 (2001) 89-97.
\item Wilson, J.G. \& Benmerzouga, A. :
Bayesian Group Replacement Policies,
{\em Operations Research} 43 (1995) 471-476.
\item Yeh, L. :
A Note on the Optimal Replacement Problem,
{\em Advances in Applied Probability} 20 (1988) 479-482.
