A Study of Optimal Design Problem for the Applied Consecutive-k System with Dependent Components

研究了一类具有依赖元件的实用连续k系统的最优设计问题，特别是元件的最优布置问题，考虑了系统状态期望最大化的多状态连续k取n：F系统的最优元件布置问题。对于这些问题，我们得到了1)使排布最优的条件，2)用模拟退火法给出了伪最优排布的元启发式方法。并且，利用1)和2)的结果，我们可以解决以下其他主题：3)多周期有限周期模型的最优分配问题。4)求多目标网络问题Pareto解的有效算法。

This study considered the optimal design problem (especially, optimal arrangement problem of components) of an applied consecutive-k system with dependent components.We considered optimal component arrangement problem of a multi-state consecutive-k-out-of-n:F system, in which the expectation of system state are maximized. For these problems, we obtained 1) the conditions of making an arrangement optimal, developed 2) Meta-heuristic approach for pseudo-optimal arrangement by simulated-annealing. And, by utilizing results for 1) and 2), we can solve the following other theme: 3) Optimal assignment problem in a limited-cycle model with multiple periods. 4) Efficient algorithm for obtaining Pareto-solutions of multi-objective network problem.