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Interactive resolution of multiobjective combinatorial optimization problems by incremental elicitation of criteria weights 基于准则权值增量提取的多目标组合优化问题交互式求解
IF 1 Q2 Mathematics Pub Date : 2018-11-01 DOI: 10.1007/s40070-018-0085-4
Nawal Benabbou , Patrice Perny

We propose an introduction to the use of incremental preference elicitation methods in the field of multiobjective combinatorial optimization. We consider three different optimization problems in vector-valued graphs, namely the shortest path problem, the minimum spanning tree problem and the assignment problem. In each case, the preferences of the decision-maker over cost vectors are assumed to be representable by a weighted sum but the weights of criteria are initially unknown. We then explain how to interweave preference elicitation and search to quickly determine a near-optimal solution with a limited number of preference queries. This leads us to successively introduce an interactive version of dynamic programming, greedy search, and branch and bound to solve the problems under consideration. We then present numerical tests showing the practical efficiency of these algorithms that achieve a good compromise between the number of queries asked and the solution times.

本文介绍了在多目标组合优化领域中使用增量偏好激发方法。我们考虑了向量值图的三种不同的优化问题,即最短路径问题、最小生成树问题和分配问题。在每种情况下,假设决策者对成本向量的偏好可以用加权和表示,但标准的权重最初是未知的。然后,我们解释了如何将偏好激发和搜索交织在一起,以在有限的偏好查询数量下快速确定接近最优的解决方案。这导致我们相继引入交互式版本的动态规划、贪婪搜索和分支绑定来解决所考虑的问题。然后,我们给出了数值测试,显示了这些算法的实际效率,这些算法在请求的查询数量和解决时间之间实现了很好的折衷。
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引用次数: 14
The need of diagrams based on Toulmin schema application: an aeronautical case study 基于图尔敏模式应用的图的需求:以航空为例
IF 1 Q2 Mathematics Pub Date : 2018-11-01 DOI: 10.1007/s40070-018-0086-3
Thomas Polacsek , Sanjiv Sharma , Claude Cuiller , Vincent Tuloup

In this article, justification diagrams are introduced for structuring evidence to support conclusions that are reached from results of simulation studies. An industrial application is used to illustrate the use of the justification diagrams. Adapted from the Toulmin schema, the aim of justification diagram is to define a comprehensive, auditable and shareable notation to explain the results, the input data, the assumptions made and the techniques applied, to construct a cogent conclusion. Further, the dustification diagrams provide a visual representation of the argument that aims to corroborate the specified claims, or conclusions. A large part of this work is based on the application of the justification diagrams in the context of the European project, TOICA. The justification diagrams were used to structure all justifications that would be needed to convince an authority that a simulation process, and the associated results, upheld a particular conclusion. These diagrams are built concurrently in a product development process that accompanies the various stages of Verification and Validation (V&V) and where, for each design stage of V&V, argumentation is constructed by aggregating evidence and documents produced at this design stage.

在这篇文章中,论证图被用来构造证据来支持从模拟研究结果中得出的结论。一个工业应用程序被用来说明论证图的使用。论证图的目的是定义一个全面的、可审计的和可共享的符号来解释结果、输入数据、所做的假设和应用的技术,以构建一个令人信服的结论。此外,验证图提供了旨在证实指定的主张或结论的论证的可视化表示。这项工作的很大一部分是基于在欧洲项目TOICA背景下的论证图的应用。论证图被用来构造所有的论证,这些论证将需要说服一个权威机构,一个模拟过程和相关的结果支持一个特定的结论。这些图表是在伴随验证和确认(V&V)的各个阶段的产品开发过程中同时构建的,其中,对于V&V的每个设计阶段,论证是通过聚集在该设计阶段产生的证据和文件来构建的。
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引用次数: 5
A practical application approach to argumentation for multicriteria analysis and decision support 多标准分析和决策支持论证的实际应用方法
IF 1 Q2 Mathematics Pub Date : 2018-11-01 DOI: 10.1007/s40070-018-0087-2
Rallou Thomopoulos

This paper explores, through an application example, connections between argumentation and another type of methods often involved in decision problems, namely, multicriteria analysis. A novel argumentative analysis framework is proposed and applied to assess a short supply chain device for food aid, regarding different categories of criteria. The analysis leads to some feedback concerning argumentation systems.

本文通过一个应用实例,探讨论证与决策问题中经常涉及的另一种方法之间的联系,即多准则分析。提出了一种新的论证分析框架,并将其应用于评估食品援助的短供应链设备,涉及不同类别的标准。分析得出了一些关于论证系统的反馈。
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引用次数: 9
Factors influencing the ratio bias 影响比例偏差的因素
IF 1 Q2 Mathematics Pub Date : 2018-11-01 DOI: 10.1007/s40070-018-0082-7
David Bourdin , Rudolf Vetschera

The ratio bias refers to the tendency of individuals to judge probabilities expressed as ratios of large numbers as more likely than equivalent or even higher probabilities expressed as a ratio of small numbers. For example, the ratio bias effect occurs when a lottery offering a 9/100 chance of winning is preferred over a lottery that offers a 1/10 chance of winning. Although previous empirical research has found evidence for the ratio bias, the exact conditions under which this effect occurs are still unclear and there is a lack of rigor in distinguishing the ratio bias from other similar effects. In this article, besides providing a comprehensive and integrative literature review, we present the results of an experiment in which we extend previous research on the ratio bias by comparing deviations both in favor of low- and high-number alternatives, as well as allowing for indifference. Results indicate that a systematic deviation in favor of high-number alternatives does exist, but that the ratio bias must be clearly distinguished from a general tendency to indicate indifference. Concerning characteristics of the problem and the decision maker, we find significant influences of probability levels involved (the ratio bias occurs more frequently for low probabilities), and of gender (the bias occurs more often among female subjects).

比率偏差指的是个体倾向于判断以大数之比表示的概率比以小数之比表示的同等甚至更高的概率更有可能。例如,当提供9/100中奖机会的彩票比提供1/10中奖机会的彩票更受欢迎时,就会出现比率偏差效应。虽然以往的实证研究已经发现了比例偏差的证据,但这种效应发生的确切条件仍然不清楚,并且在区分比例偏差与其他类似效应方面缺乏严谨性。在这篇文章中,除了提供一个全面和综合的文献综述,我们提出了一个实验的结果,我们通过比较偏向于低数量和高数量的选择的偏差,以及允许冷漠来扩展先前对比例偏差的研究。结果表明,支持高数量替代方案的系统性偏差确实存在,但必须清楚地将比例偏差与表明冷漠的一般趋势区分开来。关于问题和决策者的特征,我们发现所涉及的概率水平(比例偏差在低概率情况下更常见)和性别(偏差在女性受试者中更常见)的显著影响。
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引用次数: 5
On proper scoring rules and cumulative prospect theory 论合理评分规则与累积前景理论
IF 1 Q2 Mathematics Pub Date : 2018-11-01 DOI: 10.1007/s40070-018-0081-8
Arthur Carvalho , Stanko Dimitrov , Kate Larson

Scoring rules are traditional techniques to measure the association between a reported belief and an observed outcome. The condition that a scoring rule is proper means that an agent maximizes his expected score when he reports a belief that equals his true belief. The implicit assumption that the agent is risk neutral is, however, often unrealistic, at least when the underlying agent is a human. Modern decision theories based on rank-dependent utilities, such as cumulative prospect theory, have been shown to be more effective at describing how human beings make decisions under risk and uncertainty. Traditional proper scoring rules are, however, incompatible with cumulative prospect theory because they fail to satisfy a property called comonotonicity. In this paper, we provide novel insights on why comonotonicity is crucial to make proper scoring rules indeed proper when eliciting beliefs from cumulative prospect theory agents. After suggesting strategies to create comonotonic proper scoring rules, we propose calibration procedures to obtain an agent’s true belief by removing the influence of the agent’s value function and weighting functions from his reported belief, when beliefs are elicited by means of comonotonic proper scoring rules.

评分规则是衡量报告的信念和观察到的结果之间的联系的传统技术。评分规则合适的条件是指当一个agent报告的信念与他的真实信念相等时,他的期望分数最大化。然而,认为代理人是风险中立的隐含假设通常是不现实的,至少当潜在代理人是人类时是这样。基于等级依赖效用的现代决策理论,如累积前景理论,已被证明在描述人类如何在风险和不确定性下做出决策方面更有效。然而,传统的适当评分规则与累积前景理论不相容,因为它们不能满足称为共单调性的性质。在本文中,我们提供了新颖的见解,为什么共同性是至关重要的,使正确的评分规则,当从累积前景理论主体引出信念。在提出了创建共单调适当评分规则的策略之后,我们提出了校准程序,当使用共单调适当评分规则获得信念时,通过消除代理的价值函数和权重函数对其报告信念的影响来获得代理的真实信念。
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引用次数: 4
Foreword to the Special Issue on supporting and explaining decision processes by means of argumentation 关于用论证的方法支持和解释决策过程的特刊前言
IF 1 Q2 Mathematics Pub Date : 2018-11-01 DOI: 10.1007/s40070-018-0088-1
A. Hunter , N. Maudet , F. Toni , W. Ouerdane
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引用次数: 0
Simulation of multicriteria data 多标准数据的模拟
IF 1 Q2 Mathematics Pub Date : 2018-06-01 DOI: 10.1007/s40070-017-0069-9
Jairo Cugliari , Antoine Rolland

For several reasons like benchmarking of MCDA methods, the MCDA community should be interested in the production of simulated multicriteria datasets based on real datasets. Our goal in this paper is to propose several methods to simulate these new multicriteria data from an existing dataset. Simulated data should be as similar as possible to the initial dataset, including the capture of specific structure in the initial dataset (if any). We propose here to study independent sample, PCA-based sample and copula-based sample and to determine which one best succeeds in generating new data on demand. The copula-based method seems the best one to reproduce specific links between criteria.n

由于MCDA方法的基准测试等几个原因,MCDA社区应该对基于真实数据集的模拟多标准数据集的产生感兴趣。我们在本文中的目标是提出几种方法来模拟现有数据集中的这些新的多标准数据。模拟数据应尽可能与初始数据集相似,包括捕获初始数据集(如果有的话)中的特定结构。我们建议在此研究独立样本,基于pca的样本和基于copula的样本,并确定哪一个最成功地按需生成新数据。基于copula的方法似乎是重现标准之间特定联系的最佳方法
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引用次数: 2
Critical success factors for implementing cholera vaccination campaigns in humanitarian emergencies: a DEMATEL-based approach 在人道主义紧急情况下实施霍乱疫苗接种运动的关键成功因素:基于dematel的方法
IF 1 Q2 Mathematics Pub Date : 2018-06-01 DOI: 10.1007/s40070-017-0062-3
Thomas K. Dasaklis , Costas P. Pappis

Cholera outbreaks are quite common in the aftermath of natural or man-made disasters. Population displacement and overcrowding in conjunction with increased prevalence of malnutrition and degradation of sanitary conditions present the main drivers favoring cholera outbreaks in these settings. Although cholera is a vaccine-preventable disease, the implementation of mass vaccination campaigns remains still a difficult task in humanitarian emergencies. In this paper an attempt is made for identifying critical success factors as well as the possible interrelationships among them for successfully implementing cholera vaccination campaigns in humanitarian emergencies. Such factors are identified through systematically surveying the literature. Based on this survey and following experts’ responses relevant priorities are identified and the description and analysis of the interrelationships among these factors are given through the usage of the Decision-Making Trial and Evaluation Laboratory (DEMATEL) method. According to the results of the analysis, sound coordination among the key-players involved, establishment of surveillance systems and mobilization of the target communities present the three most important factors while security issues and the general political context in which an immunization campaign is implemented are considered the most influential factors. The findings could be of significant value to those drafting contingency plans or implementing immunization campaigns in humanitarian emergencies.

在自然灾害或人为灾害之后,霍乱暴发十分常见。人口流离失所和过度拥挤,加上营养不良日益普遍和卫生条件恶化,是这些环境中霍乱爆发的主要驱动因素。虽然霍乱是一种疫苗可预防的疾病,但在人道主义紧急情况下,实施大规模疫苗接种运动仍然是一项艰巨的任务。本文试图确定在人道主义紧急情况下成功实施霍乱疫苗接种运动的关键成功因素以及它们之间可能的相互关系。这些因素是通过系统地调查文献确定的。在此基础上,通过使用决策试验和评估实验室(DEMATEL)方法,确定了相关优先事项,并对这些因素之间的相互关系进行了描述和分析。根据分析的结果,主要参与者之间的良好协调、监测系统的建立和目标社区的动员是三个最重要的因素,而安全问题和实施免疫运动的一般政治环境被认为是最具影响的因素。调查结果可能对在人道主义紧急情况下起草应急计划或实施免疫运动的人具有重大价值。
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引用次数: 9
The role of supervised learning in the decision process to fair trade US municipal debt 监督学习在公平交易美国市政债券决策过程中的作用
IF 1 Q2 Mathematics Pub Date : 2018-06-01 DOI: 10.1007/s40070-018-0079-2
Gordon H. Dash , Nina Kajiji , Domenic Vonella

Determining a fair price and an appropriate timescale to trade municipal debt is a complex decision. This research uses data informatics to explore transaction characteristics and trading activity of investment grade US municipal bonds. Using the relatively recent data stream distributed by the Municipal Securities Rulemaking Board, we provide an institutional summary of market participants and their trading behavior. Subsequently, we focus on a sample of AAA bonds to derive a new methodology to estimate a trade-weighted benchmark municipal yield curve. The methodology integrates the study of ridge regression, artificial neural networks, and support vector regression. We find an enhanced radial basis function artificial neural network outperforms alternate methods used to estimate municipal term structure. This result forms the foundation for establishing a decision theory on optimal municipal bond trading. Using multivariate modeling of a liquidity domain measured across three dependent variables, we investigate the proposed decision theory by estimating weekly production-theoretic bond liquidity returns to scale. Across the three liquidity measures and for almost all weeks investigated, bond trading liquidity is elastic with respect to the modeled factors. This finding leads us to conclude that an optimal trading policy for municipal debt can be implemented on a weekly timescale using the elasticity estimates of bond price, trade size, risk, days-to-maturity, and the macroeconomic influences of labor in the workforce and building activity.

为市政债券交易确定一个公平的价格和适当的时间表是一个复杂的决定。本研究运用数据信息学的方法探讨美国投资级市政债券的交易特征和交易活动。利用市证券规则制定委员会发布的相对较新的数据流,我们提供了市场参与者及其交易行为的机构摘要。随后,我们将重点放在AAA债券的样本上,以得出一种新的方法来估计贸易加权基准市政收益率曲线。该方法综合了岭回归、人工神经网络和支持向量回归的研究。我们发现一个增强的径向基函数人工神经网络优于用于估计市政期限结构的替代方法。这一结果为建立市政债券最优交易决策理论奠定了基础。使用跨三个因变量测量的流动性域的多元建模,我们通过估计每周生产理论债券流动性回报的规模来研究提出的决策理论。在三种流动性措施和几乎所有周调查中,债券交易流动性相对于模型因素是有弹性的。这一发现使我们得出结论,利用债券价格、交易规模、风险、到期日以及劳动力和建筑活动的宏观经济影响的弹性估计,可以在每周的时间尺度上实施市政债券的最佳交易政策。
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引用次数: 4
Evaluating the reliability of efficient energy technology portfolios 评估高效能源技术组合的可靠性
IF 1 Q2 Mathematics Pub Date : 2018-06-01 DOI: 10.1007/s40070-018-0077-4
Ilka Deluque , Ekundayo Shittu , Jonathan Deason

This paper develops a decision evaluation framework to assess how the treatment of risk affects the reliability of, and investment into, electricity generation infrastructure. First, portfolios of electricity generation technologies that comprise the energy supply systems in the US are evaluated using a mean-variance approach. Second, this research assesses the reliability of the portfolios with the aid of loss of load expectation and loss of energy expectation metrics. The methodology considers the least-cost technology mix coupled with the reduction of market and system risks. The variation in the portfolio cost is based on the prevailing policies in the geographic locations. Overall, the current mix of technologies evaluated along the cost-risk latitudes shows an inefficient electricity technology portfolio system. First, investments in renewable technologies may create a bifurcation. On the one hand, the portfolios with significant proportions of the high-cost intermittent technologies exhibit low market risks. On the other hand, these portfolios have less desirable system reliability measures. Second, policy makers will find it instructive that a more diverse electricity technology mix offers the potential to migrate to the efficient frontier in the near term. However, it is imperative to craft policies in support of the transition with the caveat that technology diversity is not always a panacea for improving system reliability even if the portfolio is on the efficient frontier. This work projects some intriguing insights and offers guidance for policy makers.

本文开发了一个决策评估框架来评估风险处理如何影响发电基础设施的可靠性和投资。首先,利用均值方差法对构成美国能源供应系统的发电技术组合进行了评估。其次,本研究借助负荷期望损失和能源期望损失指标来评估组合的可靠性。该方法考虑了成本最低的技术组合,同时减少了市场和系统风险。投资组合成本的变化基于地理位置的现行政策。总的来说,目前的技术组合沿着成本风险纬度进行评估,显示出一个低效的电力技术组合系统。首先,对可再生能源技术的投资可能会产生分歧。一方面,高成本间歇性技术占比较大的投资组合表现出较低的市场风险。另一方面,这些组合具有不太理想的系统可靠性度量。其次,政策制定者将发现,更多样化的电力技术组合将在短期内提供向高效前沿迁移的潜力,这将是有益的。然而,必须制定支持转型的政策,同时要注意,即使投资组合处于效率前沿,技术多样性也并不总是提高系统可靠性的灵丹妙药。这项工作提出了一些有趣的见解,并为政策制定者提供了指导。
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引用次数: 14
期刊
EURO Journal on Decision Processes
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