一种基于可能度的区间判断矩阵排序法

给出了区间数两两比较的一种可能度公式,以及文献[4]中的方法参数k,m的取值范围,提出了一种基于可能度的区间判断矩阵排序方法。最后,通过算例说明了该法的可行性和有效性。     

区间数互补判断矩阵的一致性及其排序研究

由于目前国内外文献对区间数互补判断矩阵的性质研究较少,从而使得对排序方法的相关研究缺乏理论依据.针对这些缺陷,本文研究了区间数互补判断矩阵的性质及其排序方法问题.根据区间数互补判断矩阵的定义,给出了区间数互补判断矩阵的一致性、严格强传递性与弱传递性等定义,并研究了一致性判断矩阵的性质,并说明这些性质更符合人们的思维特征.在一致性性质的基础上建立了区间数互补判断矩阵排序的非线性规划模型,算例分析表明该方法是有效可行的.     

基于流形学习的非一致性判断矩阵排序方法

针对传统层次分析法(AHP)在构造判断矩阵过程中需要满足一致性条件问题,本文研究AHP方法需要进行一致性调整的原因,提出了一种基于流形学习的非一致性判断矩阵排序方法。在非一致性判断矩阵排序过程中,首先基于近邻距离的概念,构建出判断矩阵所对应数据集的近邻距离矩阵;然后以近邻点的线性表示为基础,将每个数据点映射到一个全局低维坐标系,并据此获得判断矩阵所对应的低维嵌入;根据各层求解出的低维嵌入对各层要素进行优劣排序,进而得到最终排序结论。最后,通过数值案例验证了所提方法的有效性和实用性。     

基于模糊判断矩阵的对数最小二乘排序方法

基于决策者提供方案偏好信息的排序方法研究是决策分析的一个重要问题.不同类型的偏好信息有不同的排序方法和理论依据.根据模糊判断矩阵完全一致性的概念,从最优化角度提出了模糊判断矩阵的对数最小二乘排序方法,并研究了其性质,给出了相应的一致性检验指标.最后进行了算例分析.     

群组决策中三角模糊数互补判断矩阵的相容性及方案排序研究

针对专家偏好信息为三角模糊数互补判断矩阵的群组决策问题,研究偏好信息的相容性及方案排序问题。基于Hamming 距离的概念,首先给出了衡量两个三角模糊数相容性的一个指标,并研究了该指标的相关性质;其次,根据三角模糊数互补判断矩阵的特点,给出了三角模糊数互补判断矩阵的相容性指标;以相容性指标为依据设定专家权重,进而给出了一种方案排序方法。最后,算例验证了方法的有效性。     

三端点区间数互反判断矩阵的排序方法研究

本文研究了三端点区间数互反判断矩阵的一致性和排序方法。在三端点区间数互反判断矩阵完全一致性概念的基础上,首次将矩阵特征向量思想引入三端点区间数互反判断矩阵之中——研究了三端点区间数互反判断矩阵的一致性与权重向量之间的类似特征向量关系,并运用线性规划模型给出一种处理三端点区间数决策者对方案属性权重的方法,然后通过三端点区间数权重向量的期望值,进行方案集结排序。最后通过具体的案例,验证了所提出方法的有效性和适用性。     

广义AHP判断矩阵的一致性研究

对非一致广义判断矩阵的不一致性给出了一个检验指标,并在此指标下给出了广义判断矩阵排序向量的一种近似求法.     

An integer programming method for the design of multi-criteria multi-action conservation plans

The design of conservation management plans is a crucial task for ensuring the preservation of ecosystems. A conservation plan is typically embodied by two types of decisions: in which areas of a given territory it will be implemented, and how actions against threats will be deployed across these areas. These decisions are usually guided by the resulting ecological benefit, their spatial effectiveness, and their implementation cost.In this paper, we propose a multi-criteria optimization framework, for modeling and solving a mixed integer programming characterization of a multi-action and multi-species conservation management design problem. The optimization tool seeks for a management plan that maximizes ecological benefit and minimizes spatial fragmentation, simultaneously, while ensuring an implementation cost no greater than a given budget.For showing the effectiveness of the methodology, we consider a case study corresponding to a portion of the Mitchell river catchment, located in northern Australia, where 31 freshwater fish species are affected by four threats.The attained results show how the methodology exploits the trade-offs among the ecological, spatial and cost criteria, enabling decision-makers to explore and analyze a broad range of conservation plans. Selecting conservation plans in a more informed way allows to obtain the best outcomes from a strategic and operational point of view.     

Modelling activity times by hybrid synthetic method

Uncertain (manual) activity times impact a number of manufacturing system modules: plant and layout design, capacity analysis, operator assignment, process planning, scheduling and simulation. Direct observation cannot be used for non-existent production lines. A hybrid direct observation/synthetic method derived from Method Time Measurement available in industry is proposed. To determine accurate activity times required by heuristics and metaheuristics optimisation, manufacturing system modules are modelled by MILP and operator efficiency parameters are used for time standardisation. Among human factors considered are skill and ergonomics. Application to the sterilisation of reusable medical devices is extensively described. Experimental data taken from observation on the field and a worst-case date have shown the model direct applicability for professionals also to non-manufacturing cases.     

混合指标层次模糊决策法研究

应用层次分析的思想和模糊模式识别方法,在引入模糊一致判断矩阵的基础上,提出了混合指标层次模糊决策方法.方法的主要特点是综合考虑了评价系统中的定性和定量指标,并提出了"表现度"的概念,使之更加客观真实地反映实际状况.然后通过模糊模式识别方法,得到系统的局部和整体发展水平评价.最后通过案例分析,表明该方法在实际运用中是有效的,具有实际应用价值.     

Competent genetic algorithms for weighing matrices

In this paper, we demonstrate that the search for weighing matrices constructed from two circulants can be viewed as a minimization problem together with two competent genetic algorithms to locate optima of an objective function. The motivation to deal with the messy genetic algorithm (mGA) is given from the pioneering results of Goldberg, regarding the ability of the mGA to put tight genes together in a solution which points directly to structural patterns in weighing matrices. In order to take into advantage certain properties of two ternary sequences with zero autocorrelation we use an adaptation of the fast messy GA (fmGA) where we combine mGA with advanced techniques, such as thresholding and tie-breaking. This transformation of the weighing matrices problem to an instance of a combinatorial optimization problem seems to be promising, since we resolved two open cases for weighing matrices as these are listed in the second edition of the Handbook of Combinatorial Designs.     

A hybrid genetic algorithm/mathematical programming approach to the multi-family flowshop scheduling problem with lot streaming

This paper presents a hybrid genetic algorithm/mathematical programming heuristic for the n-job, m-machine flowshop problems with lot streaming. The number of sublots for each job and the size of sublots are directly addressed by the heuristic and setups may be sequence-dependent. A new aspect of the problem, the interleaving of sublots from different jobs in the processing sequence, is developed and addressed. Computational results from 12 randomly generated test sets of 24 problems each are presented.     

一类网络扩张的机会约束模型与算法

在不确定环境中的机会约束下,怎样去增加一组边的容量到一个指定的瓶颈容量,而使网络瓶颈扩张的费用最小.带有随机单位扩张费用的网络瓶颈容量扩张问题,可以根据一些概率机会约束规则,列出它的机会约束规划模型的通用表达式.将网络瓶颈容量算法、随机模拟方法和遗传算法合成在一起,设计出该问题的混合智能通用算法.最后,给出数值案例.     

Target setting for indirect processes: a new hybrid method for the continuous improvement management of indirect processes

Indirect processes are increasingly contributing to the total cost of production in highly competitive and technology-intensive industries. Unfortunately, they are less assessable than direct processes due to the complex organisational management structure. Therefore, companies seeking to make improvements in indirect areas need decision support methods to indicate which indirect process needs to be improved and to what extent. To facilitate this task, the target setting for indirect processes (TSIP) method has been developed following the constructive research approach. TSIP is a combination of process modelling, the analytic network process, activity-based management from managerial accounting research and the value control chart from target costing research in a kaizen budgeting framework. This new hybrid method is developed and validated in cooperation with a global first-tier automotive supplier.     

Dynamic programming for spatial allocation of advertising expenditure

The paper deals with optimal allocation of a given amount of advertising expenditure among various sales districts. It applies dynamic programming to arrive at the optimal policy regarding such allocation. The basic model is that of Zentler and Ryde which heretofore has been solved using a graphical method. The optimal solution is illustrated with an example.