References
- Agarwal , M. , Gupta , R. , Ramirez-Marquez , J. E. and Coit , D. W. 2006 . Errata for the paper: Jose E. Ramirez-Marquez, David W. Coit, “A Heuristic For Solving The Redundancy Allocation Problem For Multi-State Series-Parallel Systems [Reliability Engineering and System Safety 83 (2004) 341–349] . Reliability Engineering and System Safety , 91 ( 7 ) : 857 – 858 .
- Aven , T. 1985 . Reliability evaluation of multistate systems with multistate components . IEEE Transactions on Reliability , 34 : 473 – 479 .
- Aven , T. 1993 . On performance measures for multistate monotone systems . Reliability Engineering & System Safety , 41 : 259 – 266 .
- Barlow , R. E. and Wu , A. S. 1978 . Coherent systems with multi-state components . Mathematics of Operations Research , 3 : 275 – 281 .
- Coit , D. W. and Smith , A. E. 1998 . Redundancy allocation to maximize a lower percentile of the system time-to-failure distribution . IEEE Transactions on Reliability , 47 : 79 – 87 .
- El-Neveihi , E. , Proschan , F. and Seturaman , J. 1978 . Multistate coherent systems . Journal of Applied Probability , 15 : 675 – 688 .
- Kim , J. E. and Yum , B. J. 1993 . A heuristic method for solving redundancy optimization problem in complex systems . IEEE Transactions on Reliability , 42 : 572 – 578 .
- Kim , K. O. and Kuo , W. 2003 . Percentile residual life and system reliability as performance measures in the optimal system design . IIE Transactions , 35 ( 12 ) : 1133 – 1142 .
- Kuo , W. and Prasad , V. R. 2000 . An annotated overview of system reliability optimization . IEEE Transactions on Reliability , 49 ( 2 ) : 176 – 187 .
- Kuo , W. , Rajendra , V. P. , Tillman , F. A. and Hwang , C. L. 2001 . Optimal Reliability Design—Fundamentals and Applications , Cambridge, , UK : Cambridge University Press .
- Levitin , G. , Lisnianski , A. and Elmakis , D. 1997 . Structure optimization of power system with different redundant elements . Electric Power Systems Research , 43 : 19 – 27 .
- Lisnianski , A. , Levitin , G. , Ben-Haim , H. and Elmakis , D. 1996 . Power system structure optimization subject to reliability constraints . Electric Power Systems Research , 39 : 145 – 152 .
- Lisnianski , A. and Levitin , G. 2003 . Multistate System Reliability-Assesement, Optimization and Applications , Singapore : World Scientific Publishing .
- Ramirez-Marquez , J. E. and Coit , D. W. 2004 . A heuristic for solving the redundancy allocation problem for multistate series-parallel systems . Reliability Engineering & System Safety , 83 : 341 – 349 .
- Ross , S. M. 1979 . Multivalued state component systems . Annals of Probability , 7 : 379 – 383 .
- Tillman , F. A. , Hwang , C. L. and Kuo , W. 1977 . Optimization techniques for systems reliability with redundancy . IEEE Transactions on Reliability , 26 ( 3 ) : 148 – 155 .
- Ushakov , I. 1986 . A universal generating function . Soviet Journal of Computer and Systems Sciences , 24 ( 5 ) : 118 – 129 .
- Ushakov , I. 1987 . Optimal standby problems and a universal generating function . Soviet Journal of Computer and Systems Sciences , 25 ( 4 ) : 79 – 82 .
- Ushakov , I. 1988 . Reliability analysis of multistate systems by means of modified generating function . Journal Information Processing and Cybernetics , 24 : 131 – 135 .