Reliability stochastic optimization for a series system with interval component reliability via genetic algorithm

Applied Mathematics and Computation

Volumn 216, Issue 3, 2010, Pages 929-939

  Bhunia, A K ^a   Sahoo, L ^b   Roy, D ^a  

^a UNIVERSITY OF BURDWAN   (India)

^b Raniganj Girls' College   (India)

Author keywords

Chance constraints; Genetic algorithm; Interval numbers; Penalty technique; Redundancy; Reliability optimization

Indexed keywords

CHANCE CONSTRAINT; CHANCE CONSTRAINTS; INTERVAL NUMBER; INTERVAL NUMBERS; RELIABILITY OPTIMIZATION;

DYNAMIC PROGRAMMING; GENETIC ALGORITHMS; INTEGER PROGRAMMING; OPTIMIZATION; QUALITY ASSURANCE; REAL VARIABLES; REDUNDANCY; SENSITIVITY ANALYSIS; STOCHASTIC SYSTEMS;

PROBLEM SOLVING;

EID: 77949487354     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.01.106     Document Type: Article

References (24)

1. Barlow R.E., and Proschan F. Mathematical Theory of Reliability (1965), Wiley, New York
2. Barlow R.E., and Proschan F. Statistical Theory of Reliability and Life Testing: Probability Models (1975), Rinehart and Winston, New York
3. Coolen F.P.A., and Newby M.J. Bayesian reliability analysis with imprecise prior probabilities. Reliability Engineering and System Safety 43 (1994) 75-85
4. Lindqvist B., and Langseth H. Uncertainty bounds for a monotone multistate system. Probability in the Engineering and Information Sciences 12 (1998) 239-260
5. Gupta R.K., Bhunia A.K., and Roy D. A GA based penalty function technique for solving constrained redundancy allocation problem of series system with interval valued reliabilities of components. Journal of Computational and Applied Mathematics 232 (2009) 275-284
6. Gurov S.V., and Utkin L.V. Reliability of Systems under Incomplete Information (1999), Lubavitch Publication, Saint Petersburg (in Russuian)
7. Utkin L.V., and Gurov S.V. Imprecise reliability of general structures. Knowledge and Information Systems 1 4 (1999) 459-480
8. Utkin L.V., and Gurov S.V. New reliability models based on imprecise probabilities. In: Hsu C. (Ed). Advanced Signal Processing Technology (2001), World Scientific 110-139
9. Chern M.S. On the computational complexity of reliability redundancy allocation in a series system. Operations Research Letter 11 (1992) 309-315
10. Gen M., and Yun Y. Soft computing approach for reliability optimization. Reliability Engineering and System Safety 91 (2006) 1008-1026
11. Ha C., and Kuo W. Reliability redundancy allocation: an improved realization for nonconvex nonlinear programming problems. European Journal of Operational Research 171 (2006) 124-138
12. Kuo W., Prasad V.R., Tillman F.A., and Hwuang C.L. Optimal Reliability Design Fundamentals and Application (2001), Cambridge University Press
13. Sun X.L., Mckinnon K.I.M., and Li D. A convexification method for a class of global optimization problems with application to reliability optimization. Journal of Global Optimization 21 (2001) 185-199
14. Sun X., and Li Duan D. Optimal condition and branch and bound algorithm for constrained redundancy optimization in series system. Optimization and Engineering 3 (2002) 53-65
15. Zhao R., and Liu B. Stochastic programming models for general redundancy-optimization problems. IEEE Transactions on Reliability R52 2 (2003) 181-191
16. Chance A., and Cooper W.W. Chance constrained programming. Management Science 6 (1954) 131-150
17. Mahato S.K., and Bhunia A.K. Interval-arithmetic-oriented interval computing technique for global optimization. Applied Mathematics Research eXpress 2006 (2006) 1-19
18. Hansen E., and Walster G. Global optimization using interval analysis (2004), Marcel Dekker Inc., New York
19. Karmakar S., Mahato S.K., and Bhunia A.K. Interval oriented multi-section techniques for global optimization. Journal of Computation and Applied Mathematics 224 (2009) 476-491
20. Goldberg D.E. Genetic Algorithms: Search, Optimization and Machine Learning, Reading, MA (1989), Addison Wesley
21. Sakawa M. Genetic Algorithms and Fuzzy Multiobjective Optimization (2002), Kluwer Academic Publishers
22. Deb K. An efficient constraint handling method for genetic algorithms. Computer Methods in Applied Mechanics and Engineering 186 (2000) 311-338
23. Michalawich Z. Genetic Algorithms + Data Structure = Evaluation Programs (1996), Springer-Verlag, Berlin
24. Yadavalli V.S.S., Malada A., and Charles V. Reliability stochastic optimization for an n-stage series system with m chance constraints. South African Journal of Science 103 (2007) 502-504