Complex System Reliability Optimisation: A Multi-Criteria Approach

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The optimal allocation of reliability to the components of complex systems to maximise their reliability is posed as multi-criteria optimisation. The minimum cut-sets leading to series-parallel reduction of such systems were constituted into criteria and their reliability maximised while minimising cost of improving the systems reliability. Consequently, the system reliability expression is made redundant, which simplifies the problem. The resultant nonlinear optimisation model was solved by the Weighted Sum method for the Pareto optimal component reliability values. The model was applied to a life support system. The results show that higher components/ systems reliability can be achieved using the approach.

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13-21

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May 2013

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[1] R.M. Cranwell, Ground Vehicle Reliability Design-for-Reliability, DoD Maintenance Symposium, Orlando, Florida, November (2007) 13-16.

Google Scholar

[2] B.K. Lad, M.S. Kulkani, K.B. Misra, Optimal Reliability Design of a system, Handbook of Performability Engineering, Springer, London, U.K. 2008.

Google Scholar

[3] T. Jin, D.W. Coit, Approximating Network Reliability Estimates using Linear and Quadratic Unreliability of Minimal Cuts, Reliability Engineering and System Safety, 82, (2003) pp.41-48.

DOI: 10.1016/s0951-8320(03)00117-0

Google Scholar

[4] J.F. Espiritu, D.W. Coit, U. Prakash, Component Criticality Importance Measures for the Power Industry, Electric Power Systems Research 77, (2007) pp.407-420.

DOI: 10.1016/j.epsr.2006.04.003

Google Scholar

[5] D.W. Coit, J.R. English, System Reliability Modelling Considering the Dependence of Component Environmental Influences, Proceedings Annual Reliability and Maintainability Symposium, (1999) pp.214-218

DOI: 10.1109/rams.1999.744121

Google Scholar

[6] W. Kuo, M.J. Zuo, Optimal Reliability Modelling: Principles and Applications, Wiley & Sons Inc., USA. 2003.

Google Scholar

[7] R. Billinton, R.N. Allan, Reliability Evaluation of Engineering Systems 2nd Ed., Plenum Press USA. 1992.

Google Scholar

[8] D.W. Coit, T. Jin, Wattanapongsakorn N., System Optimization with Component Reliability Estimation Uncertainty: Multi-Criteria Approach IEEE Transactions on Reliability Vol. 53 No.3 (2004) p.369 – 380.

DOI: 10.1109/tr.2004.833312

Google Scholar

[9] W. Kuo, R. Prasad, An Annotated Overview of System-Reliability Optimization, IEEE Transactions on Reliability Vol. 49 No. 2 (2000) pp.176-187

DOI: 10.1109/24.877336

Google Scholar

[10] A. Konak, D.W. Coit, A.E. Smith, Multi-objective Optimization using Genetic Algorithms: A tutorial, Reliability Engineering and System Safety Vol. 91 (2006) pp.992-1007.

DOI: 10.1016/j.ress.2005.11.018

Google Scholar

[11] H.A. Taboada, D.W. Coit, Data Clustering of Solutions for Multiple Objective System Reliability Optimization problems, Quality Technology and Qualitative Management Journal, Vol. 4 No.2 (2007) pp.35-54

DOI: 10.1080/16843703.2007.11673145

Google Scholar

[12] D. Salazar, C.M. Rocco, B.J. Galvan, Optimization of constrained multiple-objective reliability problems using evolutionary algorithms, Reliability Engineering And System Safety 91 (2006) pp.1057-1070.

DOI: 10.1016/j.ress.2005.11.040

Google Scholar

[13] P.S. Shelokar, V.K. Jayaraman, B.D. Kulkarni, Ant Algorithm For Single And Multi-objective Reliability Optimization Problems, Quality and Reliability Engineering International Vol. 18 (2002)pp.497-514.

DOI: 10.1002/qre.499

Google Scholar

[14] M. Sakawa, Multiobjective Reliability and Redundancy Optimization of a Series-Parallel System by the Surrogate Worth Trade-off Method, Microelectron Reliability Vol. 17 (1978) pp.465-467.

DOI: 10.1016/0026-2714(78)91126-5

Google Scholar

[15] M. Sakawa, Interactive multiobjective optimization by the sequential proxy optimization technique (SPOT), IEEE Transaction on Reliability, R31 (5) (1982) pp.461-464.

DOI: 10.1109/tr.1982.5221434

Google Scholar

[16] T. Inagaki, K. Inoue, H. Akashi, Interactive optimization of system reliability under multiple objectives, IEEE Transactions on Reliability R 27 (4) (1978) pp.264-267.

DOI: 10.1109/tr.1978.5220361

Google Scholar

[17] J. Zhao, Z. Liu, M. Dao, Reliability optimization using multiobjective ant colony systemapproaches, Reliability Engineering and System Safety 92 (2007) pp.109-120.

DOI: 10.1016/j.ress.2005.12.001

Google Scholar

[18] M.B. Mukuda, Y. Tsujimur, M. Gen, Optimization of Multiobjective System Reliability Design using FLC Controlled GA, Electrical Engineering in Japan Vol. 158 No. 3 (2007) pp.72-80.

DOI: 10.1002/eej.20319

Google Scholar

[19] D. Coit, A. Konak, Multiple Weighted Objectives Heuristic for the Redundancy Allocation Problem, IEEE Transactions on Reliability, Vol. 55, No. 3 (2006) pp.551-558.

DOI: 10.1109/tr.2006.879654

Google Scholar

[20] M. Marseguerra, E. Zio, L. Pdofillini, D.W. Coit, Optimal Design of Reliable Network Systems in the Presence of Uncertainty, IEEE Transactions on Reliability Vol 54, No. 2 (2005) pp.243-253.

DOI: 10.1109/tr.2005.847279

Google Scholar

[21] A.K. Dhingra, Optimal Apportionment of Reliability and Redundancy in Series Systems Under Multiple Objectives, IEEE Transactions on Reliability Vol. 41 (1992) pp.576-582.

DOI: 10.1109/24.249589

Google Scholar

[22] S.B. Twum, E. Aspinwall, J. Fliege, A Multi-criteria Optimisation Model for Reliability Design of Series-Parallel Systems - Part 1, International Journal of Quality and Reliability Management, Vol. 29 No 8 (2012).

DOI: 10.1108/02656711211272944

Google Scholar

[23] A. Mettas, ReliaSoft Corporation Tucson, Reliability Allocation and Optimization of Complex Systems, Proceedings, Annual Reliability and Maintainability Symposium, Los Angeles, California, January 24-27 (2000) pp.1-6.

DOI: 10.1109/rams.2000.816310

Google Scholar

[24] Reliability HotWire, Reliability Allocation and Optimisation, The eMagazine for the Reliability Professional, Issue 6, August 2001. ReliaSoft Corporation USA URL: http://www.weibull.com/hotwire/issue6/hottopics6.htm Accessed: 07/04/(2008)

Google Scholar

[25] C.F.L. Heimann, Understanding the Challenger Disaster: Organizational Structure and the Design of Reliable Systems, The American Political Science Review, Vol. 87, No. 2 (1993) pp.421-435.

DOI: 10.2307/2939051

Google Scholar

[26] I.Y. Kim, O.L. de Weck, Adaptive Weighted-Sum Method for Bi-objective Optimization: Pareto Front Generation, Structural and Multidisciplinary Optimization, Vol. 29, (2005) pp.149-158.

DOI: 10.1007/s00158-004-0465-1

Google Scholar

[27] I. Das, J.E. Dennis, A Closer Look at Drawbacks of Minimising Weighted Sums of Objectives for Pareto Set Generation in Multicriteria Optimization Problems, Structural Optimization Vol. 14, (1997) p.63 – 69.

DOI: 10.1007/bf01197559

Google Scholar

[28] A.O.C. Elegbede, C. Chu, K.H. Adjallah, F. Yalaoui, Reliability Allocation Through Cost Minimization, IEEE Transactions on Reliability Vol. 52, No. 1 (2003) pp.106-111.

DOI: 10.1109/tr.2002.807242

Google Scholar

[29] V. Ravi, B.S.N. Murty, P.J. Reddy., Non-equilibrium Simulated Annealing Algorithm Applied to Reliability Optimization of Complex Systems, IEEE Transactions on Reliability, Vol.46 (1997) pp.233-239

DOI: 10.1109/24.589951

Google Scholar

[30] C.M. Rocco, A.J. Miller, J.A. Moreno, N. Carrasquero, Reliability Optimisation of Complex Systems, Annual Reliability and Maintainability Symposium (2000) Los Angeles, USA.

DOI: 10.1109/rams.2000.816309

Google Scholar