Abstract
This paper considers the constrained redundancy optimization problem in series systems. This problem can be formulated as a nonlinear integer programming problem of maximizing the overall systems reliability under limited resource constraints. By exploiting special features of the problem, we derive a new necessary condition for optimal redundancy assignments. This condition leads to a new fathoming condition in the branch and bound method that may result in a significant reduction of computational efforts, as evidenced in our numerical calculation for linearly constrained redundancy optimization problems.
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Sun, X.L., Li, D. Optimality Condition and Branch and Bound Algorithm for Constrained Redundancy Optimization in Series Systems. Optimization and Engineering 3, 53–65 (2002). https://doi.org/10.1023/A:1016541912439
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DOI: https://doi.org/10.1023/A:1016541912439