Reliability Optimization by 0-1 Programming for a System with Several Failure Modes

IEEE Transactions on Reliability

Volumn R-24, Issue 3, 1975, Pages 206-210

  Nam, Kwang ^a  

^a Dept of Management Engineering Ashikaga Institute of Technology ^*

^b Mitsuo Gen), Hyun   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING; RELIABILITY THEORY;

SYSTEMS SCIENCE AND CYBERNETICS;

EID: 0016536719     PISSN: 00189529     EISSN: 15581721     Source Type: Journal    
DOI: 10.1109/TR.1975.5215154     Document Type: Article

References (12)

1. R.E. Barlow and L.C. Hunter, “Criteria for determining optimum redundancy,”IRE Trans. R&QC, Vol. RQC-9, pp. 73-77, April 1960.
2. R.E. Barlow, L.C. Hunter, and F. Proschan, “Optimum redundancy when components are subject to two kinds of failure,” J. SIAM, Vol. 11, pp. 64-73, March 1963.
3. A.M. Geoffrion, “An improved implicit enumeration approach for integer programming,” RAND Corp. Rept. RM-5644-PR, June 1968, or Operations Res., Vol. 17, pp. 437-454, May-June 1969.
4. R.E. Gomory, “All integer programming algorithm,” IBM Res. Center Rept. RC-189, Jan. 1960, or in “Industrial Scheduling” edited by J.F. Muth and G.L. Thompson, Prentice Hall, 1963.
5. C. Henin, “Double failure and other related problems in standby redundancy,” IEEE Trans, on Rel., Vol. R-21, pp. 35-40, Feb. 1972.
6. K.N. Hyun (M. Gen) and H. Okuno, “Optimization of the redundant allocation and selection problems in a system reliability,” Keiei-Kagaku, Vol. 18, pp. 132-147, July 1974 (in Japanese, The Operations Research Society of Japan).
7. K.N. Hyun (M. Gen) and H. Okuno, “Optimization of the redundant allocation in a system with several failure modes by zero-one programming,” Proc. of 7-th Hawaii Inter. Conf. on System Set., pp.189-191,Jan. 1974.
8. P.J. Kolesar, “Linear programming and the reliability of multicomponent systems,” Naval Res. Logistics Quart., Vol. 14, pp 317-328, Sept. 1967.
9. K. Mizukami, “Optimum redundancy for maximum system reliability by the method of convex and integer programming,” Operations Res., Vol. 16, pp 392-406, March-April 1968.
10. J.K. SenGupta, “A system reliability approach to linear programming,” Unternehmens-forschung, Band 15, pp. 112-129, April 1971.
11. F.A. Tillman and J.M. Liittschwager, “Integer programming formulation of constrained reliability problems,” Management Scl., Vol. 13, pp. 887-899, July 1967.
12. F.A. Tillman, “Optimization by integer programming of constrained reliability problems with several modes of failure,” IEEE Trans. on Rel., Vol. R-18, pp. 47-53, May 1969. Kwang-Nam Hyun//Dept. of Management Engineering//Ashikaga Institute of Technology//Ashikaga-shi, Tochigi-ken 326 JAPAN