基于四维空间相似度的军械紧急调运方案优选方法

分析了军械紧急调运方案优选决策的混合多属性特点。基于TOPSIS方法的基本原理,首先通过方案属性值的四维属性值转化,将不同类型的属性值统一成相同的形式,然后通过定义四维空间相似度,将各类型属性值的相似度计算规范到统一的度量空间,解决了含有实数、区间数、语言值和不确定语言值等多种不同决策属性值的的军械紧急调运方案优选这一混合型多属性决策问题。计算示例表明了该方法的可操性和有效性。     

On optimal system designs in reliability‐economics frameworks

Reliability Economics is a field that can be defined as the collection of all problems in which there is tension between the performance of systems of interest and their cost. Given such a problem, the aim is to resolve the tension through an optimization process that identifies the system which maximizes some appropriate criterion function (e.g. expected lifetime per unit cost). In this paper, we focus on coherent systems of n independent and identically distributed (iid) components and mixtures thereof, and characterize both a system's performance and cost as functions of the system's signature vector (Samaniego, IEEE Trans Reliabil (1985) 69–72). For a given family of criterion functions, a variety of optimality results are obtained for systems of arbitrary order n. Approximations are developed and justified when the underlying component distribution is unknown. Assuming the availability of an auxiliary sample of N component failure times, the asymptotic theory of L‐estimators is adapted for the purpose of establishing the consistency and asymptotic normality of the proposed estimators of the expected ordered failure times of the n components of the systems under study. These results lead to the identification of ε‐optimal systems relative to the chosen criterion function. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007