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In this paper, we analyze the relative errors that crop up in the various reliability measures due to the tacit assumption that the components are independently working associated with a $n$-component series system or a parallel system…

统计理论 · 数学 2025-03-28 Subarna Bhattacharjee , Aninda Kumar Nanda , Subhashree Patra

Stochastic Spatio-Temporal processes are prevalent across domains ranging from modeling of plasma to the turbulence in fluids to the wave function of quantum systems. This letter studies a measure-theoretic description of such systems by…

最优化与控制 · 数学 2021-05-25 George I. Boutselis , Ethan N. Evans , Marcus A. Pereira , Evangelos A. Theodorou

We model the joint distribution of choice probabilities and decision times in binary choice tasks as the solution to a problem of optimal sequential sampling, where the agent is uncertain of the utility of each action and pays a constant…

神经元与认知 · 定量生物学 2015-05-14 Drew Fudenberg , Philipp Strack , Tomasz Strzalecki

Relative ageing describes how a system ages with respect to another one. The ageing faster orders are the ones which compare the relative ageings of two systems. Here, we study ageing faster orders in the hazard and the reversed hazard…

应用统计 · 统计学 2019-06-21 Nil Kamal Hazra , Neeraj Misra

Location of depots and routing of emergency response units are assumed to be interdependent in the incident management system. System costs will be excessive if delay regarding routing decisions is ignored when locating response units. This…

系统与控制 · 计算机科学 2015-04-21 Hyoshin Park , Ali Shafahi , Ali Haghani

Real-time systems are traditionally classified into hard real-time and soft real-time: in the first category we have safety critical real-time systems where missing a deadline can have catastrophic consequences, whereas in the second class…

操作系统 · 计算机科学 2015-12-08 Giuseppe Lipari , Luigi Palopoli

Using large scale numerical simulations we analyze the statistical properties of fracture in the two dimensional random spring model and compare it with its scalar counterpart: the random fuse model. We first consider the process of crack…

材料科学 · 物理学 2009-11-11 Phani Kumar V. V. Nukala , Stefano Zapperi , Srdan Simunovic

Queuing systems with redundant requests have drawn great attention because of their promise to reduce the job completion time and variability. Despite a large body of work on the topic, we are still far from fully understanding the benefits…

性能 · 计算机科学 2019-10-08 Amir Behrouzi-Far , Emina Soljanin

Accurate probabilistic modeling of the power system restoration process is essential for resilience planning, operational decision-making, and realistic simulation of resilience events. In this work, we develop data-driven probabilistic…

系统与控制 · 电气工程与系统科学 2026-03-18 Arslan Ahmad , Ian Dobson

Statistical systems are conceived from the standpoint of statistical mechanics, as made of a (generally large) number of identical units and exhibiting a (generally large) number of different configurations (microstates), among which only…

综合物理 · 物理学 2017-06-21 R. Caimmi

This article describes a model and an exact solution method for facility location problems with decision-dependent uncertainties. The model allows characterizing the probability distribution of the random elements as a function of the…

最优化与控制 · 数学 2025-09-15 Giovanni Pantuso

We consider different models of stochastic dissipative equations and theoretically compute the probability distribution functions (actually the associated large deviation functions) of the time averaged injected power required to sustain a…

统计力学 · 物理学 2015-06-24 Jean Farago

In this paper we focus on providing sufficient conditions for some well-known stochastic orders in reliability but dealing with the discrete versions of them, filling a gap in the literature. In particular, we find conditions based on the…

统计理论 · 数学 2026-01-28 F. Belzunce , C. Martínez-Riquelme , M. Pereda

We consider stochastic dynamical systems defined by differential equations with a uniform random time delay. The latter equations are shown to be equivalent to deterministic higher-order differential equations: for an $n$-th order equation…

统计力学 · 物理学 2011-10-11 P. L. Krapivsky , J. M. Luck , K. Mallick

Considering the close interaction between spare parts logistics and maintenance planning, this paper presents a model for joint optimization of multi-location spare parts supply chain and condition-based maintenance under predictive and…

最优化与控制 · 数学 2018-10-17 Morteza Soltani

Statistical and structural modeling represent two distinct approaches to data analysis. In this paper, we propose a set of novel methods for combining statistical and structural models for improved prediction and causal inference. Our first…

计量经济学 · 经济学 2020-06-11 Jiaming Mao , Jingzhi Xu

In this paper, the survival function of waiting times between orders and the corresponding trades in a double-auction market is studied both by means of experiments and of empirical data. It turns out that, already at the level of order…

物理与社会 · 物理学 2008-12-02 Enrico Scalas , Taisei Kaizoji , Michael Kirchler , Juergen Huber , Alessandra Tedeschi

We study the stability of non-conservative deterministic cross diffusion models and prove that they are approximated by stochastic population models when the populations become locally large. In this model, the individuals of two species…

偏微分方程分析 · 数学 2025-10-09 Vincent Bansaye , Alexandre Bertolino , Ayman Moussa

In this work, we consider the dynamics of repairable systems characterized by three distinct states: one signifying normal operational states, another representing degraded conditions and a third denoting failed conditions. These systems…

最优化与控制 · 数学 2024-07-09 Daniel Owusu Adu , Weiwei Hu

We review basic modeling approaches for failure and maintenance data from repairable systems. In particular we consider imperfect repair models, defined in terms of virtual age processes, and the trend-renewal process which extends the…

统计方法学 · 统计学 2007-08-03 Bo Henry Lindqvist