基于评估的任务间隔期维修任务选择方法

针对任务间隔期维修任务的选择问题,提出了求解该问题的方法。首先,给出了维修任务优先级评估指标,以及修理有效性评估指标;然后,提出了AHP-熵-DEA-TOPSIS方法,用来确定维修任务的优先级,以及修理有效性;接着建立基于维修效果的数学规划模型,其目标是使维修方案的加权有效性总和在满足维修资源约束条件下最大化。最后,应用该方法对具体示例进行了求解,验证了方法的有效性和可行性。分析表明所求得的维修任务选择方案能够充分利用各种信息,具有较强的可信性与实用性,有助于维修管理人员对维修任务选择进行优化。     

基于熵权TOPSIS法的多方案保障性评价研究

为了提高武器系统的综合保障能力和系统决策水平,将一种基于熵权TOPSIS的多方案评价方法应用于保障性评价当中。通过指标数值间的差异程度确定熵权,并将熵权与专家权重进行综合,克服了传统熵权评价法只反映客观的信息,而忽略人的主观重视程度的弊端。实例分析表明,该方法能够主客观相结合,可操作性较强,具有一定的应用价值。     

Deterministic and stochastic scheduling with teamwork tasks

We study a class of new scheduling problems which involve types of teamwork tasks. Each teamwork task consists of several components, and requires a team of processors to complete, with each team member to process a particular component of the task. Once the processor completes its work on the task, it will be available immediately to work on the next task regardless of whether the other components of the last task have been completed or not. Thus, the processors in a team neither have to start, nor have to finish, at the same time as they process a task. A task is completed only when all of its components have been processed. The problem is to find an optimal schedule to process all tasks, under a given objective measure. We consider both deterministic and stochastic models. For the deterministic model, we find that the optimal schedule exhibits the pattern that all processors must adopt the same sequence to process the tasks, even under a general objective function GC = F(f₁(C₁), f₂(C₂), … , f_n(C_n)), where f_i(C_i) is a general, nondecreasing function of the completion time C_i of task i. We show that the optimal sequence to minimize the maximum cost MC = max f_i(C_i) can be derived by a simple rule if there exists an order f₁(t) ≤ … ≤ f_n(t) for all t between the functions {f_i(t)}. We further show that the optimal sequence to minimize the total cost TC = ∑ f_i(C_i) can be constructed by a dynamic programming algorithm. For the stochastic model, we study three optimization criteria: (A) almost sure minimization; (B) stochastic ordering; and (C) expected cost minimization. For criterion (A), we show that the results for the corresponding deterministic model can be easily generalized. However, stochastic problems with criteria (B) and (C) become quite difficult. Conditions under which the optimal solutions can be found for these two criteria are derived. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

Scheduling recurrent construction

A problem we call recurrent construction involves manufacturing large, complex, expensive products such as airplanes, houses, and ships. Customers order configurations of these products well in advance of due dates for delivery. Early delivery may not be permitted. How should the manufacturer determine when to purchase and release materials before fabrication, assembly, and delivery? Major material expenses, significant penalties for deliveries beyond due dates, and long product makespans in recurrent construction motivate choosing a release timetable that maximizes the net present value of cash flows. Our heuristic first projects an initial schedule that dispatches worker teams to tasks for the backlogged products, and then solves a series of maximal closure problems to find material release times that maximize NPV. This method compares favorably with other well‐known work release heuristics in solution quality for large problems over a wide range of operating conditions, including order strength, cost structure, utilization level, batch policy, and uncertainty level. Computation times exhibit near linear growth in problem size. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

Parametric inference for component distributions from lifetimes of systems with dependent components

In system reliability analysis, for an n ‐component system, the estimation of the performance of the components in the system is not straightforward in practice, especially when the components are dependent. Here, by assuming the n components in the system to be identically distributed with a common distribution belonging to a scale‐family and the dependence structure between the components being known, we discuss the estimation of the lifetime distributions of the components in the system based on the lifetimes of systems with the same structure. We develop a general framework for inference on the scale parameter of the component lifetime distribution. Specifically, the method of moments estimator (MME) and the maximum likelihood estimator (MLE) are derived for the scale parameter, and the conditions for the existence of the MLE are also discussed. The asymptotic confidence intervals for the scale parameter are also developed based on the MME and the MLE. General simulation procedures for the system lifetime under this model are described. Finally, some examples of two‐ and three‐component systems are presented to illustrate all the inferential procedures developed here. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

信息熵和判断矩阵的专家聚类赋权法

为了降低专家聚类赋权过程中由排序向量引起的不确定性和判断矩阵引起的矛盾性,提高权值分配的精确性,提出了基于信息熵和判断矩阵相结合的专家聚类赋权法。该方法采用聚类分析原理,对排序向量进行分类,根据分类结果、信息熵值和一致性比率确定专家权重系数。实例分析表明:基于信息熵和判断矩阵相结合的专家聚类赋权法在具体应用中得到的结果离期望值更近,说明该算法有效可行。     

主被动传感器异地配置下的航迹关联

在雷达和电子支援(ESM)传感器异地配置的情况下,提出了一种基于位置统计量和最大似然准则的异类传感器航迹关联算法。首先基于位置统计量对目标进行了航迹粗关联,排除掉一些虚假关联组合;然后采用最大似然准则对目标进行了航迹细关联,以求进一步提高雷达和ESM传感器航迹关联的检测概率。仿真结果表明,该算法能够快速、准确地完成对多目标的航迹关联。     

小样本采样数据的预处理

一般情况下数据处理大多采用数理统计方法,该方法对于数据较少情况下处理和判别粗大误差不适用。提出了运用线性均方估计法和熵值判别法来处理和判别粗大误差,线性均方估计消除粗大误差是一种采用软化的方法处理粗大误差;熵值判别法是根据熵的上界对应最大的不确定度,利用所得数据的熵信息量判别数据是否含有粗大误差。这两种方法经过多个实例计算,结果表明,它们在处理小样本采样数据时更有效。     

成败型产品的Bayes鉴定试验方案研究

利用可靠性增长模型给出了成败型产品鉴定试验的一种Bayes方法.提出了Bayes鉴定试验的最大后验风险准则,利用这种准则制定的鉴定试验方案综合了产品研制过程中的先验信息.在确保产品质量的前提下,与传统的鉴定试验方案相比,将大大节省试验时间.     

混合指数分布模型的Bayes分析

针对截尾试验数据的情况,给出了二元混合指数分布模型的平均寿命和可靠性函数的严格的Ｂａｙｅｓ点估计,并运用最大熵准则给出了可靠性函数的近似的Ｂａｙｅｓ置信下限估计。