首页 > 最新文献

Probability in the Engineering and Informational Sciences最新文献

英文 中文
Equilibrium analysis of the fluid model with two types of parallel customers and incomplete fault 具有两种并行客户和不完全故障的流体模型的平衡分析
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2024-01-12 DOI: 10.1017/s0269964823000244
Yitong Zhang, Xiuli Xu, Pei Zhao, Mingxin Liu
This article considers the individual equilibrium behavior and socially optimal strategy in a fluid queue with two types of parallel customers and incomplete fault. Assume that the working state and the incomplete fault state appear alternately in the buffer. Different from the linear revenue and expenditure structure, an exponential utility function can be constructed to obtain the equilibrium balking thresholds in the fully observable case. Besides, the steady-state probability distribution and the corresponding expected social benefit are derived based on the renewal process and the standard theory of linear ordinary differential equations. Furthermore, a reasonable entrance fee strategy is discussed under the condition that the fluid accepts the globally optimal strategies. Finally, the effects of the diverse system parameters on the entrance fee and the expected social benefit are explicitly illustrated by numerical comparisons.
本文探讨了在有两种并行客户和不完全故障的流体队列中的个体均衡行为和社会最优策略。假设工作状态和不完全故障状态交替出现在缓冲区中。与线性收入和支出结构不同,在完全可观测的情况下,可以构建指数效用函数来获得均衡逡巡阈值。此外,基于更新过程和线性常微分方程的标准理论,还推导出了稳态概率分布和相应的预期社会效益。此外,在流体接受全局最优策略的条件下,讨论了合理的入场费策略。最后,通过数值比较明确说明了不同系统参数对入口费和预期社会效益的影响。
{"title":"Equilibrium analysis of the fluid model with two types of parallel customers and incomplete fault","authors":"Yitong Zhang, Xiuli Xu, Pei Zhao, Mingxin Liu","doi":"10.1017/s0269964823000244","DOIUrl":"https://doi.org/10.1017/s0269964823000244","url":null,"abstract":"This article considers the individual equilibrium behavior and socially optimal strategy in a fluid queue with two types of parallel customers and incomplete fault. Assume that the working state and the incomplete fault state appear alternately in the buffer. Different from the linear revenue and expenditure structure, an exponential utility function can be constructed to obtain the equilibrium balking thresholds in the fully observable case. Besides, the steady-state probability distribution and the corresponding expected social benefit are derived based on the renewal process and the standard theory of linear ordinary differential equations. Furthermore, a reasonable entrance fee strategy is discussed under the condition that the fluid accepts the globally optimal strategies. Finally, the effects of the diverse system parameters on the entrance fee and the expected social benefit are explicitly illustrated by numerical comparisons.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"14 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139464975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the dynamic residual measure of inaccuracy based on extropy in order statistics 基于订单统计外熵的不准确性动态残差测量
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2024-01-11 DOI: 10.1017/s0269964823000268
M. Mohammadi, M. Hashempour, O. Kamari

In this paper, we introduce a novel way to quantify the remaining inaccuracy of order statistics by utilizing the concept of extropy. We explore various properties and characteristics of this new measure. Additionally, we expand the notion of inaccuracy for ordered random variables to a dynamic version and demonstrate that this dynamic information measure provides a unique determination of the distribution function. Moreover, we investigate specific lifetime distributions by analyzing the residual inaccuracy of the first-order statistics. Nonparametric kernel estimation of the proposed measure is suggested. Simulation results show that the kernel estimator with bandwidth selection using the cross-validation method has the best performance. Finally, an application of the proposed measure on the model selection is provided.

在本文中,我们介绍了一种利用熵概念量化阶次统计剩余误差的新方法。我们探讨了这种新度量的各种属性和特征。此外,我们还将有序随机变量的不准确性概念扩展为动态版本,并证明这种动态信息度量可提供分布函数的唯一确定性。此外,我们还通过分析一阶统计的残余不准确性来研究特定的寿命分布。我们建议对所提出的度量进行非参数核估计。仿真结果表明,使用交叉验证法选择带宽的核估计器性能最佳。最后,还介绍了所提测量方法在模型选择中的应用。
{"title":"On the dynamic residual measure of inaccuracy based on extropy in order statistics","authors":"M. Mohammadi, M. Hashempour, O. Kamari","doi":"10.1017/s0269964823000268","DOIUrl":"https://doi.org/10.1017/s0269964823000268","url":null,"abstract":"<p>In this paper, we introduce a novel way to quantify the remaining inaccuracy of order statistics by utilizing the concept of extropy. We explore various properties and characteristics of this new measure. Additionally, we expand the notion of inaccuracy for ordered random variables to a dynamic version and demonstrate that this dynamic information measure provides a unique determination of the distribution function. Moreover, we investigate specific lifetime distributions by analyzing the residual inaccuracy of the first-order statistics. Nonparametric kernel estimation of the proposed measure is suggested. Simulation results show that the kernel estimator with bandwidth selection using the cross-validation method has the best performance. Finally, an application of the proposed measure on the model selection is provided.</p>","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"59 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139421156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Shock models governed by an inverse gamma mixed Poisson process 由反伽马混合泊松过程控制的冲击模型
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2023-12-15 DOI: 10.1017/s0269964823000232
Antonella Iuliano, Barbara Martinucci, Verdiana Mustaro
We study three classes of shock models governed by an inverse gamma mixed Poisson process (IGMP), namely a mixed Poisson process with an inverse gamma mixing distribution. In particular, we analyze (1) the extreme shock model, (2) the δ-shock model, and the (3) cumulative shock model. For the latter, we assume a constant and an exponentially distributed random threshold and consider different choices for the distribution of the amount of damage caused by a single shock. For all the treated cases, we obtain the survival function, together with the expected value and the variance of the failure time. Some properties of the inverse gamma mixed Poisson process are also disclosed.
我们研究了由反伽马混合泊松过程(IGMP)(即具有反伽马混合分布的混合泊松过程)控制的三类冲击模型。我们特别分析了(1)极端冲击模型、(2)δ冲击模型和(3)累积冲击模型。对于后者,我们假设了一个常数和一个指数分布的随机阈值,并考虑了单次冲击造成的破坏量分布的不同选择。对于所有处理过的情况,我们都得到了生存函数,以及失效时间的期望值和方差。我们还揭示了反伽马混合泊松过程的一些特性。
{"title":"Shock models governed by an inverse gamma mixed Poisson process","authors":"Antonella Iuliano, Barbara Martinucci, Verdiana Mustaro","doi":"10.1017/s0269964823000232","DOIUrl":"https://doi.org/10.1017/s0269964823000232","url":null,"abstract":"We study three classes of shock models governed by an inverse gamma mixed Poisson process (IGMP), namely a mixed Poisson process with an inverse gamma mixing distribution. In particular, we analyze (1) the extreme shock model, (2) the <jats:italic>δ</jats:italic>-shock model, and the (3) cumulative shock model. For the latter, we assume a constant and an exponentially distributed random threshold and consider different choices for the distribution of the amount of damage caused by a single shock. For all the treated cases, we obtain the survival function, together with the expected value and the variance of the failure time. Some properties of the inverse gamma mixed Poisson process are also disclosed.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"106 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138692444","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Precise large deviations for a multidimensional risk model with regression dependence structure 具有回归依赖结构的多维风险模型的精确大偏差
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2023-12-01 DOI: 10.1017/s0269964823000220
Yang Liu, Ke-Ang Fu, Zhenlong Chen
In this paper, we consider a nonstandard multidimensional risk model, in which the claim sizes ${vec{X}_k, kge 1}$ form an independent and identically distributed random vector sequence with dependent components. By assuming that there exists the regression dependence structure between inter-arrival time and the claim-size vectors, we extend the regression dependence to a more practical multidimensional risk model. For the univariate marginal distributions of claim vectors with consistently varying tails, we obtain the precise large deviation formulas for the multidimensional risk model with the regression size-dependent structure.
本文考虑一个非标准多维风险模型,其中索赔规模${vec{X}_k, kge 1}$是一个独立的、具有相关分量的同分布随机向量序列。通过假设到达间隔时间与索赔规模向量之间存在回归依赖结构,将回归依赖关系扩展到更实际的多维风险模型。对于尾部连续变化的索赔向量的单变量边际分布,我们得到了具有回归规模依赖结构的多维风险模型的精确大偏差公式。
{"title":"Precise large deviations for a multidimensional risk model with regression dependence structure","authors":"Yang Liu, Ke-Ang Fu, Zhenlong Chen","doi":"10.1017/s0269964823000220","DOIUrl":"https://doi.org/10.1017/s0269964823000220","url":null,"abstract":"In this paper, we consider a nonstandard multidimensional risk model, in which the claim sizes <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" mimetype=\"image\" xlink:href=\"S0269964823000220_inline1.png\" /> <jats:tex-math>${vec{X}_k, kge 1}$</jats:tex-math> </jats:alternatives> </jats:inline-formula> form an independent and identically distributed random vector sequence with dependent components. By assuming that there exists the regression dependence structure between inter-arrival time and the claim-size vectors, we extend the regression dependence to a more practical multidimensional risk model. For the univariate marginal distributions of claim vectors with consistently varying tails, we obtain the precise large deviation formulas for the multidimensional risk model with the regression size-dependent structure.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"209 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138539062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a retrial queue with negative customers, passive breakdown, and delayed repairs 在有负面客户、被动故障和延迟维修的重审队列上
3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2023-10-20 DOI: 10.1017/s0269964823000219
Yunna Han, Ruiling Tian, Xinyu Wu, Liuqing He
Abstract This paper studies an M/M/1 retrial queue with negative customers, passive breakdown, and delayed repairs. Assume that the breakdown behavior of the server during idle periods is different from that during busy periods. Passive breakdowns may occur when the server is idle, due to the lack of monitoring of the server during idle periods. When the passive breakdown occurs, the server does not get repaired immediately and enters a delayed repair phase. Negative customers arrive during the busy period, which will cause the server to break down and remove the serving customers. Under steady-state conditions, we obtain explicit expressions of the probability generating functions for the steady-state distribution, together with some important performance measures for the system. In addition, we present some numerical examples to illustrate the effects of some system parameters on important performance measures and the cost function. Finally, based on the reward-cost structure, we discuss Nash equilibrium and socially optimal strategy and numerically analyze the influence of system parameters on optimal strategies and optimal social benefits.
摘要研究了一类具有负顾客、被动故障和延迟维修的M/M/1重审队列。假设服务器在空闲期间的故障行为与繁忙期间的故障行为不同。当服务器处于空闲状态时,由于在空闲期间缺乏对服务器的监控,可能会发生被动故障。当被动故障发生时,服务器不会立即得到修复,而是进入延迟修复阶段。负面客户在繁忙期间到来,这会导致服务器崩溃,并移除正在服务的客户。在稳态条件下,我们得到了稳态分布的概率生成函数的显式表达式,以及系统的一些重要性能指标。此外,我们还给出了一些数值例子来说明一些系统参数对重要性能指标和成本函数的影响。最后,基于回报-成本结构,讨论了纳什均衡和社会最优策略,并数值分析了系统参数对最优策略和最优社会效益的影响。
{"title":"On a retrial queue with negative customers, passive breakdown, and delayed repairs","authors":"Yunna Han, Ruiling Tian, Xinyu Wu, Liuqing He","doi":"10.1017/s0269964823000219","DOIUrl":"https://doi.org/10.1017/s0269964823000219","url":null,"abstract":"Abstract This paper studies an M/M/1 retrial queue with negative customers, passive breakdown, and delayed repairs. Assume that the breakdown behavior of the server during idle periods is different from that during busy periods. Passive breakdowns may occur when the server is idle, due to the lack of monitoring of the server during idle periods. When the passive breakdown occurs, the server does not get repaired immediately and enters a delayed repair phase. Negative customers arrive during the busy period, which will cause the server to break down and remove the serving customers. Under steady-state conditions, we obtain explicit expressions of the probability generating functions for the steady-state distribution, together with some important performance measures for the system. In addition, we present some numerical examples to illustrate the effects of some system parameters on important performance measures and the cost function. Finally, based on the reward-cost structure, we discuss Nash equilibrium and socially optimal strategy and numerically analyze the influence of system parameters on optimal strategies and optimal social benefits.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"6 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135565467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Jensen- divergence measure 詹森散度测度
3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2023-10-19 DOI: 10.1017/s0269964823000189
Omid Kharazmi, Narayanaswamy Balakrishnan
Abstract The purpose of this paper is twofold. The first part is to introduce relative- $chi_{alpha}^{2}$ , Jensen- $chi_{alpha}^{2}$ and ( p , w )-Jensen- $chi_{alpha}^2$ divergence measures and then examine their properties. In addition, we also explore possible connections between these divergence measures and Jensen–Shannon entropy measure. In the second part, we introduce $(p,eta)$ -mixture model and then show it to be an optimal solution to three different optimization problems based on $chi_{alpha}^{2}$ divergence measure. We further study the relative- $chi_{alpha}^{2}$ divergence measure for escort and arithmetic mixture densities. We also provide some results associated with relative- $chi_{alpha}^{2}$ divergence measure of mixed reliability systems. Finally, to demonstrate the usefulness of the Jensen- $chi_{alpha}^{2}$ divergence measure, we apply it to a real example in image processing and present some numerical results. Our findings in this regard show that the Jensen- $chi_{alpha}^{2}$ is an effective criteria for quantifying the similarity between two images.
本文的目的是双重的。第一部分介绍了相对- $chi_{alpha}^{2}$、Jensen- $chi_{alpha}^{2}$和(p, w)-Jensen- $chi_{alpha}^2$散度测度,并考察了它们的性质。此外,我们还探讨了这些散度测度与Jensen-Shannon熵测度之间的可能联系。在第二部分,我们引入了$(p,eta)$ -混合模型,并证明了它是基于$chi_{alpha}^{2}$散度度量的三种不同优化问题的最优解。进一步研究了伴生密度和算术混合密度的相对- $chi_{alpha}^{2}$散度测度。我们还提供了一些与混合可靠性系统的相对- $chi_{alpha}^{2}$散度度量相关的结果。最后,为了证明Jensen- $chi_{alpha}^{2}$散度度量的有效性,我们将其应用于一个实际的图像处理实例,并给出了一些数值结果。我们在这方面的研究结果表明,Jensen- $chi_{alpha}^{2}$是量化两幅图像之间相似性的有效标准。
{"title":"On Jensen- divergence measure","authors":"Omid Kharazmi, Narayanaswamy Balakrishnan","doi":"10.1017/s0269964823000189","DOIUrl":"https://doi.org/10.1017/s0269964823000189","url":null,"abstract":"Abstract The purpose of this paper is twofold. The first part is to introduce relative- $chi_{alpha}^{2}$ , Jensen- $chi_{alpha}^{2}$ and ( p , w )-Jensen- $chi_{alpha}^2$ divergence measures and then examine their properties. In addition, we also explore possible connections between these divergence measures and Jensen–Shannon entropy measure. In the second part, we introduce $(p,eta)$ -mixture model and then show it to be an optimal solution to three different optimization problems based on $chi_{alpha}^{2}$ divergence measure. We further study the relative- $chi_{alpha}^{2}$ divergence measure for escort and arithmetic mixture densities. We also provide some results associated with relative- $chi_{alpha}^{2}$ divergence measure of mixed reliability systems. Finally, to demonstrate the usefulness of the Jensen- $chi_{alpha}^{2}$ divergence measure, we apply it to a real example in image processing and present some numerical results. Our findings in this regard show that the Jensen- $chi_{alpha}^{2}$ is an effective criteria for quantifying the similarity between two images.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135730362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dependence among order statistics for time-transformed exponential models 时变指数模型阶统计量间的相关性
3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2023-10-05 DOI: 10.1017/s0269964823000190
Subhash Kochar, Fabio L. Spizzichino
Abstract Let $(X_{1},ldots,X_{n})$ be a random vector distributed according to a time-transformed exponential model . This is a special class of exchangeable models, which, in particular, includes multivariate distributions with Schur-constant survival functions. Let for $1leq ileq n$ , $X_{i:n}$ denote the corresponding i th-order statistic. We consider the problem of comparing the strength of dependence between any pair of X i ’s with that of the corresponding order statistics. It is in particular proved that for $m=2,ldots,n$ , the dependence of $X_{2:m}$ on $X_{1:m}$ is more than that of X 2 on X 1 according to more stochastic increasingness (positive monotone regression) order, which in turn implies that $(X_{1:m},X_{2:m})$ is more concordant than $(X_{1},X_{2})$ . It will be interesting to examine whether these results can be extended to other exchangeable models.
摘要设$(X_{1},ldots,X_{n})$是一个随机向量,按照时间变换指数模型进行分布。这是一类特殊的可交换模型,特别地,它包括具有舒尔常数生存函数的多变量分布。对于$1leq ileq n$, $X_{i:n}$表示对应的i阶统计量。我们考虑比较任意X i对与相应阶统计量之间的依赖强度的问题。特别证明了对于$m=2,ldots,n$,按照更随机递增(正单调回归)的顺序,$X_{2:m}$对$X_{1:m}$的依赖性大于x2对x1的依赖性,这意味着$(X_{1:m},X_{2:m})$比$(X_{1},X_{2})$更协调。研究这些结果是否可以推广到其他可交换模型将是一件有趣的事情。
{"title":"Dependence among order statistics for time-transformed exponential models","authors":"Subhash Kochar, Fabio L. Spizzichino","doi":"10.1017/s0269964823000190","DOIUrl":"https://doi.org/10.1017/s0269964823000190","url":null,"abstract":"Abstract Let $(X_{1},ldots,X_{n})$ be a random vector distributed according to a time-transformed exponential model . This is a special class of exchangeable models, which, in particular, includes multivariate distributions with Schur-constant survival functions. Let for $1leq ileq n$ , $X_{i:n}$ denote the corresponding i th-order statistic. We consider the problem of comparing the strength of dependence between any pair of X i ’s with that of the corresponding order statistics. It is in particular proved that for $m=2,ldots,n$ , the dependence of $X_{2:m}$ on $X_{1:m}$ is more than that of X 2 on X 1 according to more stochastic increasingness (positive monotone regression) order, which in turn implies that $(X_{1:m},X_{2:m})$ is more concordant than $(X_{1},X_{2})$ . It will be interesting to examine whether these results can be extended to other exchangeable models.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135481884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Structured Replacement Policies for Offshore Wind Turbines 海上风力涡轮机的结构性更换政策
3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2023-10-02 DOI: 10.1017/s0269964823000165
Morteza Soltani, Jeffrey P. Kharoufeh, Amin Khademi
Abstract We consider the problem of optimally maintaining an offshore wind farm in which major components progressively degrade over time due to normal usage and exposure to a randomly varying environment. The turbines exhibit both economic and stochastic dependence due to shared maintenance setup costs and their common environment. Our aim is to identify optimal replacement policies that minimize the expected total discounted setup, replacement, and lost power production costs over an infinite horizon. The problem is formulated using a Markov decision process (MDP) model from which we establish monotonicity of the cost function jointly in the degradation level and environment state and characterize the structure of the optimal replacement policy. For the special case of a two-turbine farm, we prove that the replacement threshold of one turbine depends not only on its own state of degradation but also on the state of degradation of the other turbine in the farm. This result yields a complete characterization of the replacement policy of both turbines by a monotone curve. The policies characterized herein can be used to optimally prescribe timely replacements of major components and suggest when it is most beneficial to share costly maintenance resources.
摘要:我们考虑了一个海上风电场的最佳维护问题,其中主要部件由于正常使用和暴露于随机变化的环境而随着时间的推移逐渐退化。由于共同的维护设置成本和共同的环境,涡轮机表现出经济和随机依赖性。我们的目标是确定在无限范围内最小化预期总折扣安装、替换和损失的电力生产成本的最佳替换策略。利用马尔可夫决策过程(MDP)模型建立了退化水平和环境状态下成本函数的单调性,并刻画了最优替代策略的结构。对于双水轮机电场的特殊情况,我们证明了一台水轮机的替换阈值不仅取决于其自身的退化状态,还取决于该电场中另一台水轮机的退化状态。这一结果用单调曲线完整地描述了两台涡轮机的更换策略。本文所描述的策略可用于最佳地规定及时更换主要部件,并建议何时最有利于共享昂贵的维护资源。
{"title":"Structured Replacement Policies for Offshore Wind Turbines","authors":"Morteza Soltani, Jeffrey P. Kharoufeh, Amin Khademi","doi":"10.1017/s0269964823000165","DOIUrl":"https://doi.org/10.1017/s0269964823000165","url":null,"abstract":"Abstract We consider the problem of optimally maintaining an offshore wind farm in which major components progressively degrade over time due to normal usage and exposure to a randomly varying environment. The turbines exhibit both economic and stochastic dependence due to shared maintenance setup costs and their common environment. Our aim is to identify optimal replacement policies that minimize the expected total discounted setup, replacement, and lost power production costs over an infinite horizon. The problem is formulated using a Markov decision process (MDP) model from which we establish monotonicity of the cost function jointly in the degradation level and environment state and characterize the structure of the optimal replacement policy. For the special case of a two-turbine farm, we prove that the replacement threshold of one turbine depends not only on its own state of degradation but also on the state of degradation of the other turbine in the farm. This result yields a complete characterization of the replacement policy of both turbines by a monotone curve. The policies characterized herein can be used to optimally prescribe timely replacements of major components and suggest when it is most beneficial to share costly maintenance resources.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135895606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the combined imperfect repair process 关于不完美的修补过程
3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2023-09-18 DOI: 10.1017/s0269964823000177
Ji Hwan Cha, Maxim Finkelstein
Abstract In this paper, a new point process is introduced. It combines the nonhomogeneous Poisson process with the generalized Polya process (GPP) studied in recent literature. In reliability interpretation, each event (failure) from this process is minimally repaired with a given probability and GPP-repaired with the complementary probability. Characterization of the new process via the corresponding bivariate point process is presented. The mean numbers of events for marginal processes are obtained via the corresponding rates, which are used for considering an optimal replacement problem as an application.
本文介绍了一种新的点法。它将非齐次泊松过程与近年来研究的广义Polya过程(GPP)相结合。在可靠性解释中,该过程中的每个事件(故障)以给定的概率进行最小修复,并以互补概率进行gpp修复。通过相应的二元点过程对新过程进行了表征。通过相应的速率得到了边际过程的平均事件数,并将其作为一个应用来考虑最优替换问题。
{"title":"On the combined imperfect repair process","authors":"Ji Hwan Cha, Maxim Finkelstein","doi":"10.1017/s0269964823000177","DOIUrl":"https://doi.org/10.1017/s0269964823000177","url":null,"abstract":"Abstract In this paper, a new point process is introduced. It combines the nonhomogeneous Poisson process with the generalized Polya process (GPP) studied in recent literature. In reliability interpretation, each event (failure) from this process is minimally repaired with a given probability and GPP-repaired with the complementary probability. Characterization of the new process via the corresponding bivariate point process is presented. The mean numbers of events for marginal processes are obtained via the corresponding rates, which are used for considering an optimal replacement problem as an application.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"189 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135153867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Worst-case Omega ratio under distribution uncertainty with its application in robust portfolio selection 分布不确定性下的最坏情况Omega比率及其在稳健投资组合选择中的应用
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2023-08-01 DOI: 10.1017/s0269964823000141
Qiuyang Li, Xinqiao Xie
Omega ratio, a risk-return performance measure, is defined as the ratio of the expected upside deviation of return to the expected downside deviation of return from a predetermined threshold described by an investor. Motivated by finding a solution protected against sampling errors, in this paper, we focus on the worst-case Omega ratio under distributional uncertainty and its application to robust portfolio selection. The main idea is to deal with optimization problems with all uncertain parameters within an uncertainty set. The uncertainty set of the distribution of returns given characteristic information, including the first two orders of moments and the Wasserstein distance, can handle data problems with uncertainty while making the calculation feasible.
Omega比率是一种风险回报绩效指标,定义为预期收益的上行偏差与预期收益偏离投资者所描述的预定阈值的下行偏差之比。在寻找一个不受抽样误差影响的解决方案的激励下,本文重点研究分布不确定性下最坏情况下的Omega比率及其在稳健投资组合选择中的应用。其主要思想是处理一个不确定集中所有不确定参数的优化问题。给定特征信息的收益分布的不确定性集,包括前两阶矩和Wasserstein距离,可以处理具有不确定性的数据问题,同时使计算可行。
{"title":"Worst-case Omega ratio under distribution uncertainty with its application in robust portfolio selection","authors":"Qiuyang Li, Xinqiao Xie","doi":"10.1017/s0269964823000141","DOIUrl":"https://doi.org/10.1017/s0269964823000141","url":null,"abstract":"\u0000 Omega ratio, a risk-return performance measure, is defined as the ratio of the expected upside deviation of return to the expected downside deviation of return from a predetermined threshold described by an investor. Motivated by finding a solution protected against sampling errors, in this paper, we focus on the worst-case Omega ratio under distributional uncertainty and its application to robust portfolio selection. The main idea is to deal with optimization problems with all uncertain parameters within an uncertainty set. The uncertainty set of the distribution of returns given characteristic information, including the first two orders of moments and the Wasserstein distance, can handle data problems with uncertainty while making the calculation feasible.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83129627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
Probability in the Engineering and Informational Sciences
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1