A branch and bound algorithm for designing reliable systems at a minimum cost

Applied Mathematics and Computation

Volumn 118, Issue 2-3, 2001, Pages 247-259

  Djerdjour, Mohamed ^a   Rekab, Kamel ^b  

^a STATE UNIVERSITY OF NEW YORK   (United States)

^b Florida Institute of Technology   (United States)

Author keywords

Enumeration algorithm; Mathematical model; Nonlinear integer programming; Reliability

Indexed keywords

ALGORITHMS; INTEGER PROGRAMMING; NONLINEAR PROGRAMMING; PROBLEM SOLVING; RELAXATION PROCESSES; RELIABILITY;

BRANCH AND BOUND ALGORITHMS;

MACHINE DESIGN;

EID: 0035281820     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00217-9     Document Type: Article

References (11)

1. Bain L.J., Engelhardt M. Statistical Analysis of Reliability and Life-Testing Models: Theory and Methods. 1991;Dekker, New York.
2. Balas B., Mazzola J.B. Nonlinear 0-1 programming: linearization techniques. Mathematical Programming. 30:1984;1-21.
3. M. Djerdjour, Computing optimal surrogate multipliers, ASAC Proceedings, Management Science Division 15 (2) (1994) 59-68.
4. Djerdjour M. An enumerative algorithm framework for a class of nonlinear integer programming problems. European Journal of Operational Research. 101:1997;104-121.
5. Dummer G.W.A., Winton R.C. An Elementary Guide to Reliability. 1990;Pergamon Press, Oxford.
6. B. Fox, J. Liebman, A discrete nonlinear simplex method for optimized engineering design, Engineering Optimization (5) (1981) 129-147.
7. Grosh D.L. A Primer of Reliability Theory. 1989;Wiley, New York.
8. Harry F.M., Waller R.A. Bayesian Reliability Analysis. 1982;Wiley, New York.
9. Hwang C.L., Lee H.B., Tillman F.A., Lie C.H. Nonlinear integer goal programming applied to optimal system reliability. IEEE Transactions on Reliability. 33(5):1984;155-165.
10. Nakagawa Y. Optimal reliability allocation by branch and bound techniques. IEEE Transactions on Reliability. 27(31):1978;27-35.
11. Tillman F.A., Hwang C.L., Way K. Optimization of Systems Reliability. 1980;Marcel Dekker, New York.