Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
T. Aven, (1993) On performance-measures for multistate monotone systems. Reli-ability Engineering & System Safety, Vol. 41, No. 3, pp. 259-266.
C. Chen, M. Meng and M. Zuo, (1999) Selective Maintenance Optimization for Multi-state Systems. Electrical and Computer Engineering, IEEE Canadian Conference, Vol. 3, pp. 1471-1476.
R.E. Barlow and A.S. Wu, (1978) Coherent systems with multi-state components. Mathematics of Operations Research, Vol. 3, No. 4, pp. 275-81.
L. Davis, (1991) Handbook of genetic algorithms. New York: Van Nostrand Reinhold.
E. El-Neweihi, F. Proschan and J. Sethuraman, (1988) Optimal allocation of multistate components. In: Handbook of Statistics, Vol.7: Quality Control and Reliability. Edited by P.R.Krishnaiah, C.R.Rao. North-Holland, Amsterdam, pp. 427-432.
U. Gurler and A. Kaya, (2002) A maintenance policy for a system with multi-state components: an approximate solution, Reliability Engineering & System Safety, Vol. 76, pp. 117-127.
D. Hsieh and K. Chiu, (2002) Optimal maintenance policy in a multistate deterio-rating standby system, European Journal of Operational Research, Vol. 141, pp. 689-698.
J. Huang, M.J. Zuo and Y.H. Wu, (2000) Generalized multi-state k-out-of-n:G systems. IEEE Transactions on Reliability, Vol. 49, pp. 105-111.
J. Huang, M.J. Zuo and Z. Fang, (2003) Multi-state consecutive-k-out-of-n sys-tems. IIE Transactions, Vol. 35, pp. 527-534.
F.K. Hwang and Y.C. Yao, (1989) Multistate consecutively-connected systems. IEEE Transactions on Reliability, Vol. 38, October No. 4, pp. 472-474.
W. Kuo and M.J. Zuo. (2003) Optimal reliability modeling: Principles and Applica-tions. Hoboken: John Wiley & Sons, Inc.
G. Levitin, (2000) Multistate series-parallel system expansion scheduling subject to availability constraints, IEEE Transactions on Reliability, Vol. 49, pp. 71-79.
G. Levitin, (2001a) Optimal allocation of multi-state retransmitters in acyclic transmission network, Reliability Engineering & System Safety, Vol. 75, pp. 73-82.
G. Levitin, (2001b) Redundancy optimization for multi-state system with fixed resource-requirements and unreliable sources, IEEE Transactions on Reliability, Vol. 50, pp. 52-59.
G. Levitin, (2002a) Optimal allocation of elements in linear multi-state sliding window system, Reliability Engineering & System Safety, Vol. 76, pp. 247-255.
G. Levitin, (2002b) Optimal reliability enhancement for multi-state transmission networks with fixed transmission time, Reliability Engineering & System Safety, Vol. 76, pp. 289-301.
G. Levitin, (2002c) Maximizing survivability of acyclic transmission networks with multi-state retransmitters and vulnerable nodes, Reliability Engineering & System Safety, Vol. 77, pp. 189-199.
G. Levitin, (2003a) Optimal allocation of multi-state elements in a linear consecu-tively-connected system, IEEE Trans. Reliability, Vol. 52, pp. 192-199.
G. Levitin, (2003b) Linear multi-state sliding window systems, IEEE Trans. Reli-ability, Vol. 52, pp. 263-269.
G. Levitin and A. Lisnianski, (1998a) Structure optimization of power system with bridge topology, Electric Power Systems Research, Vol. 45, pp. 201-208.
G. Levitin and A. Lisnianski, (1998b) Joint redundancy and maintenance optimi-zation for multistate series-parallel systems, Reliability Engineering & System Safety, Vol. 64, No. 1, pp. 33-42.
G. Levitin and A. Lisnianski, (1999) Optimal multistage modernization of power system subject to reliability and capacity requirements, Electric Power Sys-tems Research, Vol. 50, pp. 183-190.
G. Levitin and A. Lisnianski, (2000a) Optimization of imperfect preventive main-tenance for multi-state systems, Reliability Engineering & System Safety, Vol. 67, pp. 193-203.
G. Levitin and A. Lisnianski, (2000b) Optimal replacement scheduling in multi-state series-parallel systems (short communication), Quality and Reliability Engineering International, Vol. 16, pp. 157-162.
G. Levitin, A. Lisnianski, H. Ben Haim and D. Elmakis, (1998) Redundancy op-timization for series-parallel multistate systems, IEEE Transactions on Reli-ability, Vol. 47, No. 2, pp. 165-172.
A. Lisnianski and G. Levitin, (2003) Multi-state System Reliability: Assessment, Optimization and Applications. World Scientific, Singapore.
A. Lisnianski, G. Levitin and H. Ben Haim, (2000) Structure optimization of multi-state system with time redundancy, Reliability Engineering & System Safety, Vol. 67, pp. 103-112.
J. Malinowski and W. Preuss, (1996) Reliability increase of consecutive-k-out-of-n:F and related systems through components' rearrangement, Microelectronics and Reliability, Vol. 36, pp. 1417-1423.
F. Meng, (1996) More on optimal allocation of components in coherent systems. Journal of Applied Probability , Vol. 33, pp. 548-556.
A. Messac, (1996) Physical Programming: Effective Optimization for Computa-tional Design. AIAA Journal, Vol. 34, No. 1, pp. 149-158.
M. Nourelfath and N. Nahas, (2004a) Ant Colony Optimization to Redundancy Allocation for Multi-state Systems, Fourth International Conference on Mathematical Methods in Reliability Methodology and Practice, June 21-25, Santa Fe, New Mexico.
M. Nourelfath and Y. Dutuit, (2004b) A combined approach to solve the redun-dancy optimization problem for multi-state systems under repair policies, Reliability Engineering & System Safety, Vol. 86, No. 3, pp. 205-213.
J.E. Ramirez-Marquez and D.W. Coit, (2004) A heuristic for solving the redun-dancy allocation problem for multi-state series-parallel systems, Reliability Engineering & System Safety, Vol. 83, pp. 341-349.
J. Sobieski, (1990) Multidisciplinary design optimization. Aerospace America, Vol. 28, No. 12, pp. 65-65.
Z. Tian, M.J. Zuo and H. Huang, (2005a) Reliability-redundancy allocation for multi-state series-parallel systems. In Advances in Safety and Reliability, Ko Å‚owrocki (ed.) Taylor & Francis Group, London. pp. 1925-1930.
Z. Tian, M.J. Zuo and RCM Yam. (2005b) Performance evaluation of generalized multi-state k-out-of-n systems. Proceedings of 2005 Industrial Engineering Research Conference, Atlanta, Georgia, USA.
Z. Tian and M.J. Zuo, (2005) Redundancy allocation for multi-state systems using physical programming and genetic algorithms. Reliability Engineering and System Safety, Special issue on GA in Reliability. Accepted.
M.J. Zuo, L. Choy and R. Yam, (1999) A Model for Optimal design of Multi-state parallel-series systems, Electrical and Computer Engineering, IEEE Canadian Conference, Vol. 3, pp. 1770-1773.
M.J. Zuo and M. Liang, (1994) Reliability of multistate consecutively-connected systems, Reliability Engineering & System Safety, Vol. 44, pp. 173-176.
M.J. Zuo, B. Liu and D. Murthy, (2000) Replacement-repair policy for multi-state deteriorating products under warranty, European Journal of Operational Research, 123, pp. 519-530.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Tian, Z., Zuo, M.J., Huang, HZ. (2007). Optimal Redundancy Allocation of Multi-State Systems with Genetic Algorithms. In: Levitin, G. (eds) Computational Intelligence in Reliability Engineering. Studies in Computational Intelligence, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37368-1_6
Download citation
DOI: https://doi.org/10.1007/978-3-540-37368-1_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37367-4
Online ISBN: 978-3-540-37368-1
eBook Packages: EngineeringEngineering (R0)