最佳效益施肥方案的研究

以掖单13号紧凑型夏玉米为例,应用运筹学中的非线性规划理论,研究了如何确定最佳效益施肥方案的问题。     

高等教育系统的办学效益分析与评价

在研究高等教育系统内部机理的基础上,揭示了系统的物理力学性质,建立了外延扩大、内涵挖潜而提高培养力与高等教育系统办学效益的数学模型.利用模型对系统的办学效益进行分析和评价指标体系的建立作了探索.     

企业活力测试与评价的数学模型

本文应用系统工程和线性规划理论，提出一套诊断和评价企业活力和经营管理效益的综合指标及数学模型，为企业科学地进行经济预测、制定计划、改善管理、提高效益提供了数量化依据．     

线性规划方法在企业管理中的应用

本文首先简单介绍了线性规划问题,然后通过具体实例介绍线性规划方法在管理中的应用,其目的是为了提高企业的经济效益     

瓶颈资源解困工程项目效益的估价：用投入产出并线性规划联合模型估价万 …

本文介绍用于瓶颈资源解困工程项目效益估价的一种方法，以及万家寨引黄工程效益估价中的投入产出并线性规划联合模型。     

淠史杭灌区水稻灌溉效益的分析研究

水稻是淠史杭灌区的主要粮食作物 ,随着现代农田灌溉和农业先进技术的推广应用 ,产量不断提高 ,其增产效益显然是水利和农业综合作用的结果。为了水利工程的经济分析 ,制定合理的水价标准 ,淠史杭灌区灌溉试验站按丰水年、平水年、干旱年和特别干旱年四个典型降雨年型试验分析灌区供水的灌溉效益。通过试验结果并根据灌区历年降雨和粮食产量资料 ,按降雨频率测算各年灌溉效益分摊系数 ,计算出灌区的农业供水灌溉效益。     

瓶颈资源解困工程项目效益的估价——用投入产出并线性规划联合模型估价万家寨引黄工程效益

薛倚明．瓶颈资源解困工程项目效益的估价．数理统计与管理，１９９８，１７（４），６２～６本文介绍用于瓶颈资源解困工程项目效益估价的一种方法，以及万家寨引黄工程效益估价中的投入产出并线性规划联合模型     

企业活力诊断与评价的系统分析及数学模型

本文应用系统工程和线性规划理论,提出了一套诊断、评价企业活力和经营管理效益的综合指标及数学模型,为企业科学地进行经济预测、制定规划、改善管理、提高效益提供了数量化依据。     

组合DEA方法与成熟度模型对项目效益的评价

为全面考虑资金、管理决策能力等因素对项目效益的影响，本运用数据包络分析与项目成熟度模型结合的方法来对企业各个项目之间的相对效益进行评价，应用结果表明该评价方法对于企业资源的最优配置、提高总体效益是十分有用的。     

PM2.5成因的逐步回归分析及治理方案研究

应用逐步回归分析方法获得了PM2.5与3个既与综合治理又与专项治理有关的因素SO_2、NO_2、PM10的最优二次回归方程,在将治理基准年与五年后目标的PM2.5浓度折算为对应的AQI指标之后,结合数据分析计算出了基准年的PM2.5、SO_2、NO_2、PM10这4个基准指标值.然后结合PM2.5综合治理与专项治理的费用经验公式,按照五年治理投入总经费最小的原则建立了一个标准的非线性规划模型,并求解出了最少的五年总投入经费及每年经费投入.对于指导PM2.5的治理工作有一定实际意义.     

线性规划在回归分析中的应用

线性回归中,针对最小二乘法的两个替代准则一绝对离差和最小准则以及最大绝对离差最小准则,利用线性规划技术建立回归预测模型。实用分析表明,线性规划模型具有较好的预测效果,有郊地消除了统计数据中异常值对回归方程的影响。     

Analytic hierarchy process-hesitant group decision making

In this paper, we consider that the judgments provided by the decision makers (DMs) cannot be aggregated and revised, then define them as hesitant judgments to describe the hesitancy experienced by the DMs in decision making. If there exist hesitant judgments in analytic hierarchy process-group decision making (AHP-GDM), then we call it AHP-hesitant group decision making (AHP-HGDM) as an extension of AHP-GDM. Based on hesitant multiplicative preference relations (HMPRs) to collect the hesitant judgments, we develop a hesitant multiplicative programming method (HMPM) as a new prioritization method to derive ratio-scale priorities from HMPRs. The HMPM is discussed in detail with examples to show its advantages and characteristics. The practicality and effectiveness of our methods are illustrated by an example of the water conservancy in China.     

The analytic hierarchy process with stochastic judgements

The analytic hierarchy process (AHP) is a widely-used method for multicriteria decision support based on the hierarchical decomposition of objectives, evaluation of preferences through pairwise comparisons, and a subsequent aggregation into global evaluations. The current paper integrates the AHP with stochastic multicriteria acceptability analysis (SMAA), an inverse-preference method, to allow the pairwise comparisons to be uncertain. A simulation experiment is used to assess how the consistency of judgements and the ability of the SMAA-AHP model to discern the best alternative deteriorates as uncertainty increases. Across a range of simulated problems results indicate that, according to conventional benchmarks, judgements are likely to remain consistent unless uncertainty is severe, but that the presence of uncertainty in almost any degree is sufficient to make the choice of best alternative unclear.     

线性回归在林区生产决策中的应用

在黑龙江省伊春林区 ,以 16个林业局调查的数据为依据 ,并由木材年采伐量与剩余物密切相关这一特点 ,应用数理统计知识 ,建立了回归分析方程 ,从而对木材采伐量和剩余物做出预测和控制 ,为保护森林生态环境及林区工业生产的宏观决策 ,提供了重要的参考数据     

The impact of DSS use and information load on errors and decision quality

This paper uses a laboratory experiment to examine the effect of DSS use on the decision maker’s error patterns and decision quality. The DSS used in our experiments is the widely used Expert Choice (EC) implementation of the Analytic Hierarchy Process. Perhaps surprisingly, our experiments do not provide general support for the often tacit assumption that the use of a DSS such as EC improves decision quality. Rather, we find that, whereas a DSS can help decision makers develop a better understanding of the essence of a decision problem and can reduce logical error (especially if the information load is high), it is also susceptible to introducing accidental effects such as mechanical errors. In some cases, as in our study, the accidental errors may outweigh the benefits of using a DSS, leading to lower quality decisions.     

易拉罐形状和尺寸的最优设计模型

用游标卡尺测量了当前流行的几种易拉罐饮料尺寸参数,然后建立微分方程模型和规划模型,借助MATLAB 6.5,LINGO8.0编程求解出了易拉罐为正圆柱体、圆台和圆柱体的组合体时的最优设计.最后综合经济、美观、实用等因素,运用非线性规划和层次分析法得出设想中易拉罐的最佳设计,对2006"高教社杯"全国数学建模竞赛C题中的各问题作出了完整的解答.     

University objectives and socioeconomic results: A multicriteria measuring of alignment

Universities develop technology transfer mechanisms as the tools required to undertake missions committed to the socioeconomic environment. In this work a new proposal to measure the extent to which the goals or strategic objectives of a university are aligned with the results obtained through its technology transfer mechanisms with the local community is presented. This will enable to perform a diagnosis, by comparing the situation sought by the University Management team (expected case) with the actual one that derives from the application of the plans that implement the technology transfer mechanisms (real case). To achieve this, two different Multicriteria Decision Analysis techniques e.g. Analytic Network Process (ANP) and Analytic Hierarchy Process (AHP) will be used. Both the methodology and the MCDA techniques proposed need to be explained and clarified to the different experts who collaborate in the study, hence the facilitating process, key to the whole procedure, will be analysed in detail.The model proposed in this study is applied to analyse the case of the National University of Colombia – Bogotá Campus. Findings show that the following questions can be answered: (i) How much importance is granted by the University Management to the objectives of the University? (ii) To what extent are the objectives of the university fulfilled by the technology transfer mechanisms to the socioeconomic environment? (iii) Are the objectives of the university aligned with the results achieved through the technology transfer mechanisms?     

Evaluation of knowledge portal development tools using a fuzzy AHP approach: The case of Taiwanese stone industry

The mission of Stone Industry Development Center (SIDC) at Taiwan attempts to promote the upgrading of the Taiwanese stone industry which recently has suffered a severe depression. After several years of technical developments, SIDC tends to shift focus to efficient use of existing knowledge/information. Consequently, a knowledge portal system (KPS) is expected to be a strategic tool to improve the competitiveness of the Taiwanese stone industry. This study proposes a fuzzy AHP approach to help five domain experts individually evaluate three KPS development tools. Then, a technique to determine the weights of experts, which is used while aggregating group decisions, is addressed. Finally, the weighted geometric mean method is applied to reach the final decision.     

Fuzzy logic modifications of the Analytic Hierarchy Process

The Analytic Hierarchy Process (AHP) is a measurement methodology based on pair-wise comparisons that relies on judgment to derive priority scales. During its implementation, one constructs hierarchies, then makes judgments or performs measurements on pairs of elements with respect to a criterion to derive preference scales, which are then synthesized throughout the structure to select the preferred alternative.One of the areas where the AHP finds application is in the subjective phases of risk assessment (RA), where it is used to structure and prioritize diverse risk factors, including the judgments of experts. Since fuzzy logic (FL) has been shown to be an effective tool for accommodating human experts and their communication of linguistic variables, there has been research aimed at modeling the fuzziness in the AHP (FAHP), and recently the focus of some of that modeling has been with respect to RA.The literature discusses more than one FAHP model, which raises the question as to which are the prominent models and what are their characteristics. In response to this question, we examine three of the most influential FAHP models. The article proceeds as follows. It begins with a brief overview of the AHP and its limitations when confronted with a fuzzy environment. This is followed by a discussion of FL modifications of the AHP. A RA-based likelihood score example is used throughout. The article ends with a commentary on the findings.     

The assessment of the information quality with the aid of multiple criteria analysis

The virtual business work flow depends on the information quality (IQ) which is essential attribute of information. The IQ depends strongly on organization of the information system (IS) and how the information is processed. In our approach we incorporate the four-aspect representation of IQ: (1) intrinsic, (2) contextual, (3) representational, and (4) accessibility. These four-aspects are divided into several criteria at the next level of hierarchy. The weights, representing the relative importance of criteria, have been assessed by pair-wise comparisons made by group of experts. Based on discussion with experts, six alternative strategies, that could be used for improving the IQ, were designed. For each given criterion, the group of subjects revealed the opinion about the level of achievement of every alternative. The set of scores, assigned to the alternative by different subjects, formed the discrete distribution that is used for a comparison of alternatives with the aid of stochastic dominances. In analogy to the Electre I methodology, the simple algorithm for the aggregate evaluation of analyzed alternatives was proposed. The benefits of proposed approach were demonstrated in a case study of the semiconductor industry. The results of our study suggest, that in case of matured company, the external strategies, that point out to the information exchange and strategic networked alliance with customers and suppliers, are preferred to the internal ones. The latter ones might be of greater importance for the new set up or for a young company.