首页 > 最新文献

Probability in the Engineering and Informational Sciences最新文献

英文 中文
PES volume 36 issue 4 Cover and Front matter PES第36卷第4期封面和封面问题
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2022-10-01 DOI: 10.1017/s0269964822000389
{"title":"PES volume 36 issue 4 Cover and Front matter","authors":"","doi":"10.1017/s0269964822000389","DOIUrl":"https://doi.org/10.1017/s0269964822000389","url":null,"abstract":"","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"60 1","pages":"f1 - f2"},"PeriodicalIF":1.1,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91014649","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
Extreme Behaviors of the Tail Gini-Type Variability Measures 尾基尼型变异性测量的极端行为
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2022-09-23 DOI: 10.1017/s0269964822000304
Hong-Jie Sun, Yu Chen
For a bivariate random vector $(X, Y)$ , suppose $X$ is some interesting loss variable and $Y$ is a benchmark variable. This paper proposes a new variability measure called the joint tail-Gini functional, which considers not only the tail event of benchmark variable $Y$ , but also the tail information of $X$ itself. It can be viewed as a class of tail Gini-type variability measures, which also include the recently proposed tail-Gini functional. It is a challenging and interesting task to measure the tail variability of $X$ under some extreme scenarios of the variables by extending the Gini's methodology, and the two tail variability measures can serve such a purpose. We study the asymptotic behaviors of these tail Gini-type variability measures, including tail-Gini and joint tail-Gini functionals. The paper conducts this study under both tail dependent and tail independent cases, which are modeled by copulas with so-called tail order property. Some examples are also shown to illuminate our results. In particular, a generalization of the joint tail-Gini functional is considered to provide a more flexible version.
对于二元随机向量$(X, Y)$,假设$X$是一个有趣的损失变量,$Y$是一个基准变量。本文提出了一种新的可变性测度——联合尾部基尼函数,它不仅考虑基准变量$Y$的尾部事件,而且考虑$X$本身的尾部信息。它可以被视为一类尾部基尼型变异性测量,其中也包括最近提出的尾部基尼函数。通过扩展基尼系数的方法来测量变量在某些极端情况下X$的尾部可变性是一项具有挑战性和有趣的任务,两个尾部可变性测量可以达到这样的目的。我们研究了这些尾基尼型变异性度量的渐近行为,包括尾基尼函数和联合尾基尼函数。本文在尾相关和尾独立两种情况下进行了研究,这两种情况都是用具有尾序性质的连曲线来建模的。文中还列举了一些例子来说明我们的结论。特别是,联合尾-基尼函数的泛化被认为提供了一个更灵活的版本。
{"title":"Extreme Behaviors of the Tail Gini-Type Variability Measures","authors":"Hong-Jie Sun, Yu Chen","doi":"10.1017/s0269964822000304","DOIUrl":"https://doi.org/10.1017/s0269964822000304","url":null,"abstract":"\u0000 For a bivariate random vector \u0000 \u0000 \u0000 $(X, Y)$\u0000 \u0000 , suppose \u0000 \u0000 \u0000 $X$\u0000 \u0000 is some interesting loss variable and \u0000 \u0000 \u0000 $Y$\u0000 \u0000 is a benchmark variable. This paper proposes a new variability measure called the joint tail-Gini functional, which considers not only the tail event of benchmark variable \u0000 \u0000 \u0000 $Y$\u0000 \u0000 , but also the tail information of \u0000 \u0000 \u0000 $X$\u0000 \u0000 itself. It can be viewed as a class of tail Gini-type variability measures, which also include the recently proposed tail-Gini functional. It is a challenging and interesting task to measure the tail variability of \u0000 \u0000 \u0000 $X$\u0000 \u0000 under some extreme scenarios of the variables by extending the Gini's methodology, and the two tail variability measures can serve such a purpose. We study the asymptotic behaviors of these tail Gini-type variability measures, including tail-Gini and joint tail-Gini functionals. The paper conducts this study under both tail dependent and tail independent cases, which are modeled by copulas with so-called tail order property. Some examples are also shown to illuminate our results. In particular, a generalization of the joint tail-Gini functional is considered to provide a more flexible version.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"8 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87532975","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: 1
Preservation properties of some reliability classes by lifetimes of coherent and mixed systems and their signatures 相干和混合系统若干可靠性类的寿命保存性及其特征
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2022-09-23 DOI: 10.1017/s0269964822000316
S. Izadkhah, Ebrahim Amini-Seresht, N. Balakrishnan
This paper examines the preservation of several aging classes of lifetime distributions in the formation of coherent and mixed systems with independent and identically distributed (i.i.d.) or identically distributed (i.d.) component lifetimes. The increasing mean inactivity time class and the decreasing mean time to failure class are developed for the lifetime of systems with possibly dependent and i.d. component lifetimes. The increasing likelihood ratio property is also discussed for the lifetime of a coherent system with i.i.d. component lifetimes. We present sufficient conditions satisfied by the signature of a coherent system with i.i.d. components with exponential distribution, under which the decreasing mean remaining lifetime, the increasing mean inactivity time, and the decreasing mean time to failure are all satisfied by the lifetime of the system. Illustrative examples are presented to support the established results.
本文研究了具有独立和同分布(i.i.d)或同分布(i.d)组件寿命的相干和混合系统形成中寿命分布的几种老化类别的保存。对于具有可能依赖和相同部件寿命的系统,给出了平均不活动时间类增加和平均失效时间类减少的公式。本文还讨论了具有1个分量寿命的相干系统寿命的似然比增加特性。给出了具有指数分布的i.i.d分量的相干系统的签名所满足的充分条件,在此条件下,系统的寿命满足平均剩余寿命减小、平均不活动时间增大和平均失效时间减小。给出了实例来支持所建立的结果。
{"title":"Preservation properties of some reliability classes by lifetimes of coherent and mixed systems and their signatures","authors":"S. Izadkhah, Ebrahim Amini-Seresht, N. Balakrishnan","doi":"10.1017/s0269964822000316","DOIUrl":"https://doi.org/10.1017/s0269964822000316","url":null,"abstract":"This paper examines the preservation of several aging classes of lifetime distributions in the formation of coherent and mixed systems with independent and identically distributed (i.i.d.) or identically distributed (i.d.) component lifetimes. The increasing mean inactivity time class and the decreasing mean time to failure class are developed for the lifetime of systems with possibly dependent and i.d. component lifetimes. The increasing likelihood ratio property is also discussed for the lifetime of a coherent system with i.i.d. component lifetimes. We present sufficient conditions satisfied by the signature of a coherent system with i.i.d. components with exponential distribution, under which the decreasing mean remaining lifetime, the increasing mean inactivity time, and the decreasing mean time to failure are all satisfied by the lifetime of the system. Illustrative examples are presented to support the established results.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"22 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85520659","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: 1
Nonparametric estimation of some dividend problems in the perturbed compound Poisson model 摄动复合泊松模型中红利问题的非参数估计
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2022-09-09 DOI: 10.1017/S0269964822000298
Yang Yang, Jiayi Xie, Zhimin Zhang
In this paper, we consider some dividend problems in the perturbed compound Poisson model under a constant barrier dividend strategy. We approximate the expected present value of dividend payments before ruin and the expected discounted penalty function based on the COS method, and construct some nonparametric estimators by using a random sample on claim number and individual claim sizes. Under a large sample size setting, we perform an error analysis of the estimators. We also provide some simulation results to verify the effectiveness of this estimation method when the sample size is finite.
本文研究了常屏障股利策略下的扰动复合泊松模型中的股利问题。本文基于COS方法近似了破产前股利支付的期望现值和期望贴现惩罚函数,并利用随机样本对索赔数量和个人索赔规模构造了一些非参数估计量。在大样本量设置下,我们对估计器进行误差分析。仿真结果验证了该方法在有限样本量下的有效性。
{"title":"Nonparametric estimation of some dividend problems in the perturbed compound Poisson model","authors":"Yang Yang, Jiayi Xie, Zhimin Zhang","doi":"10.1017/S0269964822000298","DOIUrl":"https://doi.org/10.1017/S0269964822000298","url":null,"abstract":"In this paper, we consider some dividend problems in the perturbed compound Poisson model under a constant barrier dividend strategy. We approximate the expected present value of dividend payments before ruin and the expected discounted penalty function based on the COS method, and construct some nonparametric estimators by using a random sample on claim number and individual claim sizes. Under a large sample size setting, we perform an error analysis of the estimators. We also provide some simulation results to verify the effectiveness of this estimation method when the sample size is finite.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"4 1","pages":"418 - 441"},"PeriodicalIF":1.1,"publicationDate":"2022-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85331422","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: 2
Relationships between cumulative entropy/extropy, Gini mean difference and probability weighted moments 累积熵/外向性、基尼均值差与概率加权矩的关系
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2022-08-26 DOI: 10.1017/s026996482200047x
S. Kattumannil, E. Sreedevi, N. Balakrishnan
In this work, we establish a connection between the cumulative residual entropy and the Gini mean difference (GMD). Some relationships between the extropy and the GMD, and the truncated GMD and dynamic versions of the cumulative past extropy are also established. We then show that several entropy and extropy measures discussed here can be brought into the framework of probability weighted moments, which would facilitate finding estimators of these measures.
在这项工作中,我们建立了累积残差熵和基尼平均差(GMD)之间的联系。此外,还建立了熵值与GMD之间的关系,以及截断的GMD与过去累积熵值的动态版本之间的关系。然后,我们证明了这里讨论的几个熵和熵测度可以纳入概率加权矩的框架,这将有助于找到这些测度的估计量。
{"title":"Relationships between cumulative entropy/extropy, Gini mean difference and probability weighted moments","authors":"S. Kattumannil, E. Sreedevi, N. Balakrishnan","doi":"10.1017/s026996482200047x","DOIUrl":"https://doi.org/10.1017/s026996482200047x","url":null,"abstract":"\u0000 In this work, we establish a connection between the cumulative residual entropy and the Gini mean difference (GMD). Some relationships between the extropy and the GMD, and the truncated GMD and dynamic versions of the cumulative past extropy are also established. We then show that several entropy and extropy measures discussed here can be brought into the framework of probability weighted moments, which would facilitate finding estimators of these measures.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"86 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73049748","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: 2
Phase transitions in biased opinion dynamics with 2-choices rule 带有2选择规则的偏见意见动态的相变
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2022-08-25 DOI: 10.1017/s0269964823000098
Arpan Mukhopadhyay
We consider a model of binary opinion dynamics where one opinion is inherently “superior” than the other, and social agents exhibit a “bias” toward the superior alternative. Specifically, it is assumed that an agent updates its choice to the superior alternative with probability α > 0 irrespective of its current opinion and opinions of other agents. With probability $1-alpha$ , it adopts majority opinion among two randomly sampled neighbors and itself. We are interested in the time it takes for the network to converge to a consensus on the superior alternative. In a complete graph of size n, we show that irrespective of the initial configuration of the network, the average time to reach consensus scales as $Theta(n,log n)$ when the bias parameter α is sufficiently high, that is, $alpha gt alpha_c$ where α c is a threshold parameter that is uniquely characterized. When the bias is low, that is, when $alpha in (0,alpha_c]$ , we show that the same rate of convergence can only be achieved if the initial proportion of agents with the superior opinion is above certain threshold $p_c(alpha)$ . If this is not the case, then we show that the network takes $Omega(exp(Theta(n)))$ time on average to reach consensus.
我们考虑了一个二元意见动态模型,其中一种意见本质上比另一种意见“优越”,社会代理人表现出对优越选择的“偏见”。具体地说,假设一个智能体以α > 0的概率更新其选择,而不考虑它当前的意见和其他智能体的意见。概率为$1-alpha$,它在两个随机抽样的邻居和它自己之间采用多数意见。我们感兴趣的是网络在更好的替代方案上达成共识所需的时间。在大小为n的完整图中,我们表明,无论网络的初始配置如何,当偏差参数α足够高时,达到共识的平均时间为$Theta(n,log n)$,即$alpha gt alpha_c$,其中α c是唯一表征的阈值参数。当偏差较低时,即$alpha in (0,alpha_c]$,我们表明,只有当具有优越意见的代理的初始比例高于一定阈值$p_c(alpha)$时,才能实现相同的收敛速度。如果不是这样,那么我们表明网络平均需要$Omega(exp(Theta(n)))$时间来达成共识。
{"title":"Phase transitions in biased opinion dynamics with 2-choices rule","authors":"Arpan Mukhopadhyay","doi":"10.1017/s0269964823000098","DOIUrl":"https://doi.org/10.1017/s0269964823000098","url":null,"abstract":"\u0000 We consider a model of binary opinion dynamics where one opinion is inherently “superior” than the other, and social agents exhibit a “bias” toward the superior alternative. Specifically, it is assumed that an agent updates its choice to the superior alternative with probability α > 0 irrespective of its current opinion and opinions of other agents. With probability \u0000 \u0000 \u0000 $1-alpha$\u0000 \u0000 , it adopts majority opinion among two randomly sampled neighbors and itself. We are interested in the time it takes for the network to converge to a consensus on the superior alternative. In a complete graph of size n, we show that irrespective of the initial configuration of the network, the average time to reach consensus scales as \u0000 \u0000 \u0000 $Theta(n,log n)$\u0000 \u0000 when the bias parameter α is sufficiently high, that is, \u0000 \u0000 \u0000 $alpha gt alpha_c$\u0000 \u0000 where α\u0000 c\u0000 is a threshold parameter that is uniquely characterized. When the bias is low, that is, when \u0000 \u0000 \u0000 $alpha in (0,alpha_c]$\u0000 \u0000 , we show that the same rate of convergence can only be achieved if the initial proportion of agents with the superior opinion is above certain threshold \u0000 \u0000 \u0000 $p_c(alpha)$\u0000 \u0000 . If this is not the case, then we show that the network takes \u0000 \u0000 \u0000 $Omega(exp(Theta(n)))$\u0000 \u0000 time on average to reach consensus.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"26 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78138848","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: 1
Almost first-order stochastic dominance by distorted expectations 几乎是一阶随机优势的扭曲预期
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2022-08-12 DOI: 10.1017/s0269964822000250
Jianping Yang, Tian Zhou, Weiwei Zhuang
Almost stochastic dominance has been receiving a great amount of attention in the financial and economic literatures. In this paper, we characterize the properties of almost first-order stochastic dominance (AFSD) via distorted expectations and investigate the conditions under which AFSD is preserved under a distortion transform. The main results are also applied to establish stochastic comparisons of order statistics and receiver operating characteristic curves via AFSD.
在金融和经济文献中,几乎随机优势一直受到广泛关注。本文通过畸变期望刻画了几乎一阶随机优势性的性质,并研究了在畸变变换下几乎一阶随机优势性保持的条件。主要结果还应用于通过AFSD建立顺序统计量和接收机工作特性曲线的随机比较。
{"title":"Almost first-order stochastic dominance by distorted expectations","authors":"Jianping Yang, Tian Zhou, Weiwei Zhuang","doi":"10.1017/s0269964822000250","DOIUrl":"https://doi.org/10.1017/s0269964822000250","url":null,"abstract":"Almost stochastic dominance has been receiving a great amount of attention in the financial and economic literatures. In this paper, we characterize the properties of almost first-order stochastic dominance (AFSD) via distorted expectations and investigate the conditions under which AFSD is preserved under a distortion transform. The main results are also applied to establish stochastic comparisons of order statistics and receiver operating characteristic curves via AFSD.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"9 10 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89806508","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
Optimal singular dividend control with capital injection and affine penalty payment at ruin 具有资本注入和仿射罚金支付的最优奇异股利控制
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2022-08-12 DOI: 10.1017/S0269964822000249
Ran Xu
In this paper, we extend the optimal dividend and capital injection problem with affine penalty at ruin in (Xu, R. & Woo, J.K. (2020). Insurance: Mathematics and Economics 92: 1–16) to the case with singular dividend payments. The asymptotic relationships between our value function to the one with bounded dividend density are studied, which also help to verify that our value function is a viscosity solution to the associated Hamilton–Jacob–Bellman Quasi-Variational Inequality (HJBQVI). We also show that the value function is the smallest viscosity supersolution within certain functional class. A modified comparison principle is proved to guarantee the uniqueness of the value function as the viscosity solution within the same functional class. Finally, a band-type dividend and capital injection strategy is constructed based on four crucial sets; and the optimality of such band-type strategy is proved by using fixed point argument. Numerical examples of the optimal band-type strategies are provided at the end when the claim size follows exponential and gamma distribution, respectively.
在本文中,我们扩展了(Xu, R. & Woo, J.K.(2020))中具有仿射惩罚的最优股利和资本注入问题。保险:数学与经济92:1-16)的情况下的单一股息支付。研究了我们的值函数与有界红利密度的值函数之间的渐近关系,这也有助于验证我们的值函数是相关的hamilton - jack - bellman拟变分不等式(HJBQVI)的粘滞解。在一定的泛函类中,值函数是最小的黏度超解。证明了一种改进的比较原理,保证了值函数作为黏度解在同一函数类内的唯一性。最后,基于四个关键集合,构建了带式股利注资策略;并利用不动点论证证明了这种带型策略的最优性。最后给出了索赔规模分别服从指数分布和伽马分布时最优带型策略的数值算例。
{"title":"Optimal singular dividend control with capital injection and affine penalty payment at ruin","authors":"Ran Xu","doi":"10.1017/S0269964822000249","DOIUrl":"https://doi.org/10.1017/S0269964822000249","url":null,"abstract":"In this paper, we extend the optimal dividend and capital injection problem with affine penalty at ruin in (Xu, R. & Woo, J.K. (2020). Insurance: Mathematics and Economics 92: 1–16) to the case with singular dividend payments. The asymptotic relationships between our value function to the one with bounded dividend density are studied, which also help to verify that our value function is a viscosity solution to the associated Hamilton–Jacob–Bellman Quasi-Variational Inequality (HJBQVI). We also show that the value function is the smallest viscosity supersolution within certain functional class. A modified comparison principle is proved to guarantee the uniqueness of the value function as the viscosity solution within the same functional class. Finally, a band-type dividend and capital injection strategy is constructed based on four crucial sets; and the optimality of such band-type strategy is proved by using fixed point argument. Numerical examples of the optimal band-type strategies are provided at the end when the claim size follows exponential and gamma distribution, respectively.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"18 1","pages":"462 - 490"},"PeriodicalIF":1.1,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88192787","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
Ordered multi-state system signature and its dynamic version in evaluating used multi-state systems 有序多状态系统签名及其在评价二手多状态系统中的动态版本
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2022-07-27 DOI: 10.1017/s0269964822000237
He Yi, N. Balakrishnan, Xiang Li
Signature theory plays an important part in the field of reliability. In this paper, the ordered multi-state system signature and its related properties are discussed based on a life-test of independent and non-identical coherent or mixed systems with independent and identical binary-state components. Dynamic properties of these systems are considered through a new notion called dynamic multi-state system signature, and then related comparisons are made based on system lifetimes and costs. Finally, the theoretical results established are illustrated with some specific examples to demonstrate the use of dynamic ordered multi-state system signature in evaluating used multi-state coherent or mixed systems.
签名理论在可靠性研究中占有重要地位。本文基于具有独立和相同二态分量的独立和不相同相干或混合系统的寿命试验,讨论了有序多态系统的特征及其相关性质。通过动态多状态系统签名的概念来考虑系统的动态特性,然后根据系统寿命和成本进行相关比较。最后,通过具体的算例对所建立的理论结果进行了说明,说明了动态有序多态系统签名在评价已使用的多态相干或混合系统中的应用。
{"title":"Ordered multi-state system signature and its dynamic version in evaluating used multi-state systems","authors":"He Yi, N. Balakrishnan, Xiang Li","doi":"10.1017/s0269964822000237","DOIUrl":"https://doi.org/10.1017/s0269964822000237","url":null,"abstract":"Signature theory plays an important part in the field of reliability. In this paper, the ordered multi-state system signature and its related properties are discussed based on a life-test of independent and non-identical coherent or mixed systems with independent and identical binary-state components. Dynamic properties of these systems are considered through a new notion called dynamic multi-state system signature, and then related comparisons are made based on system lifetimes and costs. Finally, the theoretical results established are illustrated with some specific examples to demonstrate the use of dynamic ordered multi-state system signature in evaluating used multi-state coherent or mixed systems.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"40 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91104127","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: 1
Scheduling servers in a two-stage queue with abandonments and costs 在带有放弃和成本的两阶段队列中调度服务器
IF 1.1 3区 工程技术 Q4 ENGINEERING, INDUSTRIAL Pub Date : 2022-07-20 DOI: 10.1017/s0269964822000213
Gabriel Zayas-Cabán, Amy L. Cochran
We consider the assignment of servers to two phases of service in a two-stage tandem queueing system when customers can abandon from each stage of service. New jobs arrive at both stations. Jobs arriving at station 1 may go through both phases of service and jobs arriving at station 2 may go through only one phase of service. Stage-dependent holding and lump-sum abandonment costs are incurred. Continuous-time Markov decision process formulations are developed that minimize discounted expected and long-run average costs. Because uniformization is not possible, we use the continuous-time framework and sample path arguments to analyze control policies. Our main results are conditions under which priority rules are optimal for the single-server model. We then propose and evaluate threshold policies for allocating one or more servers between the two stages in a numerical study. These policies prioritize a phase of service before “switching” to the other phase when total congestion exceeds a certain number. Results provide insight into how to adjust the switching rule to significantly reduce costs for specific input parameters as well as more general multi-server situations when neither preemption or abandonments are allowed during service and service and abandonment times are not exponential.
考虑在两阶段串联排队系统中,当客户可以放弃每一阶段的服务时,服务器分配到两阶段的服务。两站都有新的工作机会。到达站1的工作可能会经历两个阶段的服务,而到达站2的工作可能只经历一个阶段的服务。阶段依赖的持有和一次性的放弃成本。开发了连续时间马尔可夫决策过程公式,使折现预期成本和长期平均成本最小化。由于统一化是不可能的,我们使用连续时间框架和样本路径参数来分析控制策略。我们的主要结果是优先级规则对于单服务器模型是最优的条件。然后,我们在数值研究中提出并评估在两个阶段之间分配一个或多个服务器的阈值策略。当总拥塞超过一定数量时,这些策略优先考虑服务的一个阶段,然后“切换”到另一个阶段。结果提供了如何调整切换规则以显着降低特定输入参数的成本的见解,以及在服务期间不允许抢占或放弃并且服务和放弃时间不是指数的更一般的多服务器情况下。
{"title":"Scheduling servers in a two-stage queue with abandonments and costs","authors":"Gabriel Zayas-Cabán, Amy L. Cochran","doi":"10.1017/s0269964822000213","DOIUrl":"https://doi.org/10.1017/s0269964822000213","url":null,"abstract":"\u0000 We consider the assignment of servers to two phases of service in a two-stage tandem queueing system when customers can abandon from each stage of service. New jobs arrive at both stations. Jobs arriving at station 1 may go through both phases of service and jobs arriving at station 2 may go through only one phase of service. Stage-dependent holding and lump-sum abandonment costs are incurred. Continuous-time Markov decision process formulations are developed that minimize discounted expected and long-run average costs. Because uniformization is not possible, we use the continuous-time framework and sample path arguments to analyze control policies. Our main results are conditions under which priority rules are optimal for the single-server model. We then propose and evaluate threshold policies for allocating one or more servers between the two stages in a numerical study. These policies prioritize a phase of service before “switching” to the other phase when total congestion exceeds a certain number. Results provide insight into how to adjust the switching rule to significantly reduce costs for specific input parameters as well as more general multi-server situations when neither preemption or abandonments are allowed during service and service and abandonment times are not exponential.","PeriodicalId":54582,"journal":{"name":"Probability in the Engineering and Informational Sciences","volume":"18 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73423339","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