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Systems reliability plays an important role in systems design, operation and management. Systems reliability can be improved
by adding redundant components or increasing the reliability levels of subsystems. Determination of the optimal amount of
redundancy and reliability levels among various subsystems under limited resource constraints leads to a mixed-integer nonlinear
programming problem. The continuous relaxation of this problem in a complex system is a nonconvex nonseparable optimization
problem with certain monotone properties. In this paper, we propose a convexification method to solve this class of continuous
relaxation problems. Combined with a branch-and-bound method, our solution scheme provides an efficient way to find an exact
optimal solution to integer reliability optimization in complex systems.
This research was partially supported by the Research Grants Council of Hong Kong, grants CUHK4056/98E, CUHK4214/01E and 2050252,
and the National Natural Science Foundation of China under Grants 79970107 and 10271073. 相似文献
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李小玲 《应用泛函分析学报》2012,14(4)
研究了一致连续广义Φ-伪压缩映射的不动点收敛定理.该定理中不要求Φ(t)为严格递增函数且对实序列的条件做了相应地放宽,从而所得结果推广和改进了已知的结论. 相似文献
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讨论了带有Neumann边界条件的一类Leslie-Gower型三种群系统,在一定的条件之下,虽然系统对应的扩散(没有交错扩散)系统的唯一正平衡解是稳定的,系统中的交错扩散可导致Turing不稳定性的产生.特别地,建立了该系统非常数共存解的存在性.结果表明,交错扩散可引起系统中出现非常数正稳态解(稳态模式). 相似文献
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Starting from the theory of cellular solids, the nonlinear theory of dry friction, and the model of a bent slender beam, a
nonlinear constitutive equation for a metallic rubber is constructed. The effect of density and shape factor on the mechanical
properties of the metallic rubber is studied in the cases where varies only one of the parameters or both vary simultaneously.
Static experiments were carried out in every case, and based on the results found, relations between the parameters and the
corresponding nonlinear constitutive equation are constructed. If the density and shape factor of a metallic rubber are known,
the coefficients of the equation can be obtained, and thus the constitutive equation itself of the rubber can be predicted. 相似文献
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