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Fuel-switch decisions in the electric power industry under environmental regulations 环境法规下电力行业的燃料开关决策
Pub Date : 2016-03-03 DOI: 10.1080/0740817X.2015.1056391
Rafay Ishfaq, Uzma Raja, Mark M. Clark
ABSTRACT The changing landscape of environmental regulations, discovery of new domestic sources of natural gas, and the economics of energy markets has resulted in a major shift in the choice of fuel for electric power generation. This research focuses on the relevant factors that impact a power plant's decision to switch fuel from coal to natural gas and the timing of such decisions. The factors studied in this article include capital costs of plant replacement, public policy, associated monetary penalties, availability and access to gas supply networks, and the option of plant retirement. These factors are evaluated in a case study of power plants in the Southeastern United States, using mathematical programming and logistic regression models. The results show that environmental regulations can be effective if the monetary penalties imposed by such regulations are set at an appropriate level, with respect to plant replacement costs. Although it is economic for large-size (power generation capacity > 600 MW) coal-fired power plants to switch fuel to natural gas, plant retirement is more suitable for smaller-sized plants. This article also presents a multi-logit decision model that can help identify the best time for a power plant to switch fuel and whether such a decision is useful in the context of plant replacement costs, fuel costs, electric power decommission limits, and environmental penalties.
环境法规的变化、国内天然气新资源的发现以及能源市场的经济状况导致了发电燃料选择的重大转变。本研究的重点是影响电厂将燃料从煤炭转向天然气的决策的相关因素以及此类决策的时机。本文研究的因素包括工厂更换的资本成本、公共政策、相关的罚款、天然气供应网络的可用性和可及性,以及工厂退役的选择。利用数学规划和逻辑回归模型,对美国东南部电厂的案例研究评估了这些因素。结果表明,如果环境法规所施加的货币惩罚相对于工厂重置成本设定在适当的水平,则环境法规是有效的。虽然大型(发电能力约600兆瓦)燃煤电厂改用天然气是经济的,但电厂退役更适合小型电厂。本文还提出了一个多logit决策模型,该模型可以帮助确定发电厂转换燃料的最佳时间,以及这种决策在工厂更换成本、燃料成本、电力退役限制和环境处罚的背景下是否有用。
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引用次数: 6
Allocating Protection Resources to Facilities When the Effect of Protection is Uncertain 当保护效果不确定时,如何将保护资源分配给设施
Pub Date : 2016-03-03 DOI: 10.1080/0740817X.2015.1078013
Hugh R. Medal, E. Pohl, M. Rossetti
We study a new facility protection problem in which one must allocate scarce protection resources to a set of facilities given that allocating resources to a facility only has a probabilistic effect on the facility’s post-disruption capacity. This study seeks to test three common assumptions made in the literature on modeling infrastructure systems subject to disruptions: 1) perfect protection, e.g., protecting an element makes it fail-proof, 2) binary protection, i.e., an element is either fully protected or unprotected, and 3) binary state, i.e., disrupted elements are fully operational or non-operational. We model this facility protection problem as a two-stage stochastic program with endogenous uncertainty. Because this stochastic program is non-convex we present a greedy algorithm and show that it has a worst-case performance of 0.63. However, empirical results indicate that the average performance is much better. In addition, experimental results indicate that the mean-value version of this model, in which parameters are set to their mean values, performs close to optimal. Results also indicate that the perfect and binary protection assumptions together significantly affect the performance of a model. On the other hand, the binary state assumption was found to have a smaller effect.
本文研究了一个新的设施保护问题,该问题必须将稀缺的保护资源分配给一组设施,并且分配资源对设施的破坏后能力只有概率影响。本研究试图测试在对受中断影响的基础设施系统建模的文献中提出的三个常见假设:1)完美保护,例如,保护一个元素使其防故障;2)二元保护,即,一个元素要么完全保护,要么不受保护;3)二元状态,即,中断的元素是完全可操作的或非可操作的。我们将该设施保护问题建模为具有内生不确定性的两阶段随机规划。由于这个随机程序是非凸的,我们提出了一个贪心算法,并证明它的最坏情况性能为0.63。然而,实证结果表明,平均性能要好得多。此外,实验结果表明,该模型的均值版本,其中参数设置为其均值,性能接近最优。结果还表明,完美保护和二元保护假设共同显著影响模型的性能。另一方面,二元状态假设的影响较小。
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引用次数: 20
Robust dual-response optimization 鲁棒双响应优化
Pub Date : 2016-03-03 DOI: 10.1080/0740817X.2015.1067737
Ihsan Yanikoglu, D. den Hertog, J. Kleijnen
ABSTRACT This article presents a robust optimization reformulation of the dual-response problem developed in response surface methodology. The dual-response approach fits separate models for the mean and the variance and analyzes these two models in a mathematical optimization setting. We use metamodels estimated from experiments with both controllable and environmental inputs. These experiments may be performed with either real or simulated systems; we focus on simulation experiments. For the environmental inputs, classic approaches assume known means, variances, or covariances and sometimes even a known distribution. We, however, develop a method that uses only experimental data, so it does not need a known probability distribution. Moreover, our approach yields a solution that is robust against the ambiguity in the probability distribution. We also propose an adjustable robust optimization method that enables adjusting the values of the controllable factors after observing the values of the environmental factors. We illustrate our novel methods through several numerical examples, which demonstrate their effectiveness.
本文提出了响应面法中双响应问题的鲁棒优化重新表述。双响应方法拟合均值和方差的独立模型,并在数学优化设置中分析这两个模型。我们使用从可控和环境输入的实验中估计的元模型。这些实验可以在真实或模拟系统中进行;我们着重于模拟实验。对于环境输入,经典方法假设已知均值、方差或协方差,有时甚至假设已知分布。然而,我们开发了一种只使用实验数据的方法,因此它不需要已知的概率分布。此外,我们的方法产生了一个对概率分布中的模糊性具有鲁棒性的解决方案。我们还提出了一种可调节的鲁棒优化方法,可以在观察环境因素的值后调整可控因素的值。通过几个数值算例说明了新方法的有效性。
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引用次数: 26
A Bayesian variable selection method for joint diagnosis of manufacturing process and sensor faults 制造过程与传感器故障联合诊断的贝叶斯变量选择方法
Pub Date : 2016-02-26 DOI: 10.1080/0740817X.2015.1109739
Shan Li, Yong Chen
ABSTRACT This article presents a Bayesian variable selection–based diagnosis approach to simultaneously identify both process mean shift faults and sensor mean shift faults in manufacturing processes. The proposed method directly models the probability of fault occurrence and can easily incorporate prior knowledge on the probability of a fault occurrence. Important concepts are introduced to understand the diagnosability of the proposed method. A guideline on how to select the values of hyper-parameters is given. A conditional maximum likelihood method is proposed as an alternative method to provide robustness to the selection of some key model parameters. Systematic simulation studies are used to provide insights on the relationship between the success of the diagnosis method and related system structure characteristics. A real assembly example is used to demonstrate the effectiveness of the proposed diagnosis method.
提出了一种基于贝叶斯变量选择的制造过程平均移位故障和传感器平均移位故障的诊断方法。该方法直接对故障发生的概率进行建模,可以很容易地将先验知识纳入故障发生的概率。介绍了重要的概念,以了解所提出的方法的可诊断性。给出了如何选择超参数值的准则。提出了一种条件极大似然法作为一种替代方法,为一些关键模型参数的选择提供了鲁棒性。系统仿真研究提供了诊断方法的成功与相关系统结构特征之间关系的见解。通过一个装配实例验证了该诊断方法的有效性。
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引用次数: 8
Reliability performance for dynamic systems with cycles of K regimes 具有K区间循环的动态系统的可靠性性能
Pub Date : 2016-02-25 DOI: 10.1080/0740817X.2015.1110266
Jingyuan Shen, L. Cui
ABSTRACT The environment in which a system operates can have a crucial impact on its performance; for example, a machine operating in mild or harsh environments or the flow of a river changing between seasons. In this article, we consider a dynamic reliability system operating under a cycle of K regimes, which is modeled as a continuous-time Markov process with K different transition rate matrices being used to describe the various regimes. Results for the availability of such a system and probability distributions of the first uptime are given. Three special cases, which occur due to situations where the durations of the regime are constant and where the number of up states in different regimes are identical or increasing, are considered in detail. Finally, some numerical examples are shown to validate the proposed approach.
系统运行的环境对其性能有至关重要的影响;例如,在温和或恶劣环境中运行的机器,或在季节之间变化的河流。在这篇文章中,我们考虑一个动态可靠性系统在K个状态下的循环下运行,它被建模为一个连续时间马尔可夫过程,用K个不同的转移率矩阵来描述不同的状态。给出了该系统的可用性和首次正常运行时间的概率分布。详细考虑了三种特殊情况,即由于状态持续时间恒定以及不同状态下的上状态数量相同或增加而发生的情况。最后,通过数值算例验证了该方法的有效性。
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引用次数: 25
Axiomatic aggregation of incomplete rankings 不完全排名的公理聚合
Pub Date : 2016-02-21 DOI: 10.1080/0740817X.2015.1109737
Erick Moreno-Centeno, Adolfo R. Escobedo
ABSTRACT In many different applications of group decision-making, individual ranking agents or judges are able to rank only a small subset of all available candidates. However, as we argue in this article, the aggregation of these incomplete ordinal rankings into a group consensus has not been adequately addressed. We propose an axiomatic method to aggregate a set of incomplete rankings into a consensus ranking; the method is a generalization of an existing approach to aggregate complete rankings. More specifically, we introduce a set of natural axioms that must be satisfied by a distance between two incomplete rankings; prove the uniqueness and existence of a distance satisfying such axioms; formulate the aggregation of incomplete rankings as an optimization problem; propose and test a specific algorithm to solve a variation of this problem where the consensus ranking does not contain ties; and show that the consensus ranking obtained by our axiomatic approach is more intuitive than the consensus ranking obtained by other approaches.
在群体决策的许多不同应用中,个体排序代理或法官只能对所有可用候选人中的一小部分进行排序。然而,正如我们在本文中所争论的那样,这些不完整的顺序排名的聚合到一个群体共识中还没有得到充分的解决。我们提出了一种公理化的方法,将一组不完整的排名聚合成一个共识排名;该方法是对现有的汇总完整排名方法的推广。更具体地说,我们引入了一组自然公理,它们必须被两个不完全排名之间的距离所满足;证明满足这些公理的距离的唯一性和存在性;将不完全排名的聚合表述为一个优化问题;提出并测试一个特定的算法来解决这个问题的一个变体,其中共识排名不包含关系;并证明了用公理化方法得到的共识排序比其他方法得到的共识排序更直观。
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引用次数: 25
A fully integrated double-loop approach to the design of statistically and energy efficient accelerated life tests 一个完全集成的双环方法来设计统计和节能加速寿命试验
Pub Date : 2016-02-21 DOI: 10.1080/0740817X.2015.1109738
Dan Zhang, H. Liao
ABSTRACT Accelerated Life Testing (ALT) has been widely used in reliability estimation for highly reliable products. To improve the efficiency of ALT, many optimum ALT design methods have been developed. However, most of the existing methods solely focus on the reliability estimation precision without considering the significant amounts of energy consumed by the equipment that creates the harsher-than-normal operating conditions in such experiments. In order to warrant the reliability estimation precision while reducing the total energy consumption, this article presents a fully integrated double-loop approach to the design of statistically and energy-efficient ALT experiments. As an important option, the new experimental design method is formulated as a multi-objective optimization problem with three objectives: (i) minimizing the experiment's total energy consumption; (ii) maximizing the reliability estimation precision; and (iii) minimizing the tracking error between the desired and actual stress loadings used in the experiment. A controlled elitist non-dominated sorting genetic algorithm is utilized to solve such large-scale optimization problems involving computer simulation. Numerical examples are provided to demonstrate the effectiveness and possible applications of the proposed experimental design method. Compared with the traditional and sequential optimal ALT planning methods, this method further improves the energy and statistical efficiency of ALT experiments.
加速寿命试验(ALT)已广泛应用于高可靠性产品的可靠性评估。为了提高ALT的效率,人们开发了许多ALT优化设计方法。然而,现有的方法大多只关注可靠性估计的精度,而没有考虑到在此类实验中设备所消耗的大量能量,这些能量会造成比正常工作条件更恶劣的条件。为了在保证可靠性估计精度的同时降低总能耗,本文提出了一种完全集成的双环方法来设计统计和节能ALT实验。作为一个重要的选择,新的实验设计方法是一个多目标优化问题,有三个目标:(1)最小化实验总能耗;(ii)使可靠性估计精度最大化;(iii)尽量减少实验中使用的期望应力载荷和实际应力载荷之间的跟踪误差。采用受控精英非支配排序遗传算法求解这类涉及计算机仿真的大规模优化问题。数值算例说明了所提出的实验设计方法的有效性和可能的应用。与传统的顺序优化ALT规划方法相比,该方法进一步提高了ALT实验的能量和统计效率。
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引用次数: 5
Maximizing quantitative traits in the mating design problem via simulation-based Pareto estimation 基于仿真的帕累托估计的配型设计问题数量特征最大化
Pub Date : 2016-02-21 DOI: 10.1080/0740817X.2015.1096430
S. R. Hunter, B. McClosky
ABSTRACT Commercial plant breeders improve economically important traits by selectively mating individuals from a given breeding population. Potential pairings are evaluated before the growing season using Monte Carlo simulation, and a mating design is created to allocate a fixed breeding budget across the parent pairs to achieve desired population outcomes. We introduce a novel objective function for this mating design problem that accurately models the goals of a certain class of breeding experiments. The resulting mating design problem is a computationally burdensome simulation optimization problem on a combinatorially large set of feasible points. We propose a two-step solution to this problem: (i) simulate to estimate the performance of each parent pair and (ii) solve an estimated version of the mating design problem, which is an integer program, using the simulation output. To reduce the computational burden when implementing steps (i) and (ii), we analytically identify a Pareto set of parent pairs that will receive the entire breeding budget at optimality. Since we wish to estimate the Pareto set in step (i) as input to step (ii), we derive an asymptotically optimal simulation budget allocation to estimate the Pareto set that, in our numerical experiments, out-performs Multi-objective Optimal Computing Budget Allocation in reducing misclassifications. Given the estimated Pareto set, we provide a branch-and-bound algorithm to solve the estimated mating design problem. Our approach dramatically reduces the computational effort required to solve the mating design problem when compared with naïve methods.
摘要:商业植物育种者通过对特定育种群体中的个体进行选择性交配来改善经济上重要的性状。在生长季节到来之前,利用蒙特卡罗模拟对潜在的配对进行评估,并创建交配设计,在亲本对之间分配固定的繁殖预算,以实现预期的种群结果。我们为这一交配设计问题引入了一个新的目标函数,它能准确地模拟某一类育种实验的目标。由此产生的配合设计问题是一个计算量很大的可行点组合上的仿真优化问题。我们提出了这个问题的两步解决方案:(i)模拟以估计每个父对的性能;(ii)使用模拟输出解决一个估计版本的交配设计问题,这是一个整数程序。为了减少执行步骤(i)和(ii)时的计算负担,我们分析地确定了一个Pareto亲本对集,该亲本对集将在最优状态下获得整个育种预算。由于我们希望估计步骤(i)中的帕累托集作为步骤(ii)的输入,我们推导了一个渐近最优的模拟预算分配来估计帕累托集,在我们的数值实验中,在减少错误分类方面优于多目标最优计算预算分配。给出了估计Pareto集,给出了一种分支定界算法来求解估计匹配设计问题。与naïve方法相比,我们的方法大大减少了解决配合设计问题所需的计算量。
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引用次数: 24
Nonparametric dynamic screening system for monitoring correlated longitudinal data 监测相关纵向数据的非参数动态筛选系统
Pub Date : 2016-02-12 DOI: 10.1080/0740817X.2016.1146423
Jun Yu Li, P. Qiu
ABSTRACT In many applications, including the early detection and prevention of diseases and performance evaluation of airplanes and other durable products, we need to sequentially monitor the longitudinal pattern of certain performance variables of a subject. A signal should be given as soon as possible after the pattern has become abnormal. Recently, a new statistical method, called a dynamic screening system (DySS), was proposed to solve this problem. It is a combination of longitudinal data analysis and statistical process control. However, the current DySS method can only handle cases where the observations are normally distributed and within-subject observations are independent or follow a specific time series model (e.g., AR(1) model). In this article, we propose a new nonparametric DySS method that can handle cases where the observation distribution and the correlation among within-subject observations are arbitrary. Therefore, it significantly broadens the application area of the DySS method. Numerical studies show that the new method works well in practice.
在许多应用中,包括疾病的早期检测和预防以及飞机和其他耐用产品的性能评估,我们需要对一个对象的某些性能变量的纵向模式进行顺序监测。当模式出现异常时,应尽快发出信号。最近,人们提出了一种新的统计方法——动态筛选系统(DySS)来解决这一问题。它是纵向数据分析和统计过程控制的结合。然而,目前的diss方法只能处理观测值正态分布、主体内观测值独立或遵循特定时间序列模型(如AR(1)模型)的情况。在本文中,我们提出了一种新的非参数dys方法,可以处理观测分布和主体内观测之间的相关性是任意的情况。因此,极大地拓宽了dys方法的应用领域。数值研究表明,该方法在实际应用中效果良好。
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引用次数: 32
Optimal periodic maintenance policy under imperfect repair: A case study on the engines of off-road vehicles 不完全修理条件下的最优定期维修策略——以非公路车辆发动机为例
Pub Date : 2016-02-12 DOI: 10.1080/0740817X.2016.1147663
M. L. Toledo, Marta A. Freitas, E. Colosimo, Gustavo L. Gilardoni
ABSTRACT In the repairable systems literature one can find a great number of papers that propose maintenance policies under the assumption of minimal repair after each failure (such a repair leaves the system in the same condition as it was just before the failure—as bad as old). This article derives a statistical procedure to estimate the optimal Preventive Maintenance (PM) periodic policy, under the following two assumptions: (i) perfect repair at each PM action (i.e., the system returns to the as-good-as-new state) and (ii) imperfect system repair after each failure (the system returns to an intermediate state between as bad as old and as good as new). Models for imperfect repair have already been presented in the literature. However, an inference procedure for the quantities of interest has not yet been fully studied. In the present article, statistical methods, including the likelihood function, Monte Carlo simulation, and bootstrap resampling methods, are used in order to (i) estimate the degree of efficiency of a repair and (ii) obtain the optimal PM check points that minimize the expected total cost. This study was motivated by a real situation involving the maintenance of engines in off-road vehicles.
在可修复系统的文献中,人们可以发现大量的论文提出了在每次故障后最小修复的假设下的维护策略(这种修复使系统处于与故障前相同的状态-与旧一样坏)。本文推导了一个统计过程来估计最优预防性维护(PM)周期策略,在以下两个假设下:(i)每次预防性维护时的完美修复(即,系统返回到与新一样好状态)和(ii)每次故障后的不完美系统修复(系统返回到与旧一样坏和与新一样好之间的中间状态)。文献中已经提出了不完全修复的模型。然而,兴趣量的推理程序尚未得到充分的研究。在本文中,使用了统计方法,包括似然函数、蒙特卡罗模拟和自举重采样方法,以便(i)估计维修的效率程度,(ii)获得使预期总成本最小化的最佳PM检查点。这项研究的动机是一个真实的情况下,涉及维修发动机的越野车。
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引用次数: 12
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IIE Transactions
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