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The concept of capacity value is widely used to quantify the contribution of additional generation (most notably renewables) within generation adequacy assessments. This paper surveys the existing probability theory of assessment of the…

Probability · Mathematics 2013-05-29 Chris Dent , Stan Zachary

Capacity drop is a traffic phenomenon in which the discharge flow from a queue is lower than the theoretical infrastructure capacity. This paper proposes a generic analytical method to estimate the queue discharge flow of freeway traffic.…

Physics and Society · Physics 2026-05-05 Yu Han , Pan Liu , Zhiyuan Liu , Ludovic Leclercq

Effective traffic incident management is essential for ensuring safety, minimizing congestion, and reducing response times in emergency situations. Traditional highway incident management relies heavily on radio room operators, who must…

Artificial Intelligence · Computer Science 2025-03-18 Matteo Cercola , Nicola Gatti , Pedro Huertas Leyva , Benedetto Carambia , Simone Formentin

Despite the wide implementation of machine learning (ML) techniques in traffic flow modeling recently, those data-driven approaches often fall short of accuracy in the cases with a small or noisy dataset. To address this issue, this study…

Machine Learning · Statistics 2022-03-15 Yun Yuan , Xianfeng Terry Yang , Zhao Zhang , Shandian Zhe

This paper proposes an approach to perform travel demand calibration for high-resolution stochastic traffic simulators. It employs abundant travel times at the path-level, departing from the standard practice of resorting to scarce…

Emerging Technologies · Computer Science 2025-01-10 Chao Zhang , Yechen Li , Neha Arora , Damien Pierce , Carolina Osorio

This paper considers linear-quadratic control of a non-linear dynamical system subject to arbitrary cost. I show that for this class of stochastic control problems the non-linear Hamilton-Jacobi-Bellman equation can be transformed into a…

General Physics · Physics 2009-11-11 H. J. Kappen

Modeling heterogeneous and multi-lane traffic flow is essential for understanding and controlling complex transportation systems. In this work, we consider three vehicle populations: two classes of human-driven vehicles (cars and trucks)…

Optimization and Control · Mathematics 2025-10-17 Maria Teresa Chiri , Christopher Denaro , Xiaoqian Gong , Benedetto Piccoli

Generalized Linear Models (GLMs) have been used extensively in statistical models of spike train data. However, the maximum likelihood estimates of the model parameters and their uncertainty, can be challenging to compute in situations…

Applications · Statistics 2021-09-07 Sahand Farhoodi , Uri Eden

In this letter, we revisit the problem of maximum likelihood estimation (MLE) of parameters of Gaussian Mixture Model (GMM) and show a new derivation for its parameters. The new derivation, unlike the classical approach employing the…

Signal Processing · Electrical Eng. & Systems 2020-01-10 Nitesh Sahu , Prabhu Babu

In this paper, the problem of load uncertainty in compliance problems is addressed where the uncertainty is described in the form of a set of finitely many loading scenarios. Computationally more efficient methods are proposed to exactly…

Computational Engineering, Finance, and Science · Computer Science 2021-09-29 Mohamed Tarek , Tapabrata Ray

Congestion control is a fundamental component of Internet infrastructure, and researchers have dedicated considerable effort to developing improved congestion control algorithms. However, despite extensive study, existing algorithms…

Networking and Internet Architecture · Computer Science 2025-08-25 Zhiyuan He , Aashish Gottipati , Lili Qiu , Yuqing Yang , Francis Y. Yan

Monitoring and control of traffic networks represent alternative, inexpensive strategies to minimize traffic congestion. As the number of traffic sensors is naturally constrained by budgetary requirements, real-time estimation of traffic…

Systems and Control · Computer Science 2019-11-12 Sebastian A. Nugroho , Ahmad F. Taha , Christian Claudel

The ever-increasing demand for data services and the proliferation of user equipment (UE) have resulted in a significant rise in the volume of mobile traffic. Moreover, in multi-band networks, non-uniform traffic distribution among…

Networking and Internet Architecture · Computer Science 2024-01-26 Saria Al Lahham , Di Wu , Ekram Hossain , Xue Liu , Gregory Dudek

Predicting traffic volume in real-time can improve both traffic flow and road safety. A precise traffic volume forecast helps alert drivers to the flow of traffic along their preferred routes, preventing potential deadlock situations.…

Machine Learning · Computer Science 2023-03-23 Lokesh Chandra Das

The Laplace approximation (LA) has been proposed as a method for approximating the marginal likelihood of statistical models with latent variables. However, the approximate maximum likelihood estimators (MLEs) based on the LA are often…

Methodology · Statistics 2022-07-21 Jeongseop Han , Youngjo Lee

Congestion in network occurs due to exceed in aggregate demand as compared to the accessible capacity of the resources. Network congestion will increase as network speed increases and new effective congestion control methods are needed,…

Networking and Internet Architecture · Computer Science 2009-12-08 Shakeel Ahmad , Adli Mustafa , Bashir Ahmad , Arjamand Bano , Al-Sammarraie Hosam

In road traffic networks, large traffic volumes may lead to extreme delays. These severe delays are caused by the fact that, whenever the maximum capacity of a road is approached, speeds drop rapidly. Therefore, the focus in this paper is…

Optimization and Control · Mathematics 2023-06-08 Nikki Levering , Rudesindo Núñez-Queija

Neural networks trained on real-world datasets with long-tailed label distributions are biased towards frequent classes and perform poorly on infrequent classes. The imbalance in the ratio of positive and negative samples for each class…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Kevin Duarte , Yogesh S. Rawat , Mubarak Shah

This short communication uses a simple experiment to show that fitting to a power law distribution by using graphical methods based on linear fit on the log-log scale is biased and inaccurate. It shows that using maximum likelihood…

Statistical Mechanics · Physics 2009-11-10 Michel L. Goldstein , Steven A. Morris , Gary G. Yen

This paper proposes a novel exact maximum likelihood (ML) estimation method for general Gaussian processes, where all parameters are estimated jointly. The exact ML estimator (MLE) is consistent and asymptotically normally distributed. We…

Statistics Theory · Mathematics 2025-09-08 Tetsuya Takabatake , Jun Yu , Chen Zhang
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