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New data acquisition technologies allow one to gather huge amounts of data that are best represented as functional data. In this setting, profile monitoring assesses the stability over time of both univariate and multivariate functional…

Methodology · Statistics 2025-04-15 Fabio Centofanti , Antonio Lepore , Biagio Palumbo

Woodall and Montgomery [35] in a discussion paper, state that multivariate process control is one of the most rapidly developing sections of statistical process control. Nowadays, in industry, there are many situations in which the…

Applications · Statistics 2009-01-20 S. Bersimis , J. Panaretos , S. Psarakis

Industrial applications often exhibit multiple in-control patterns due to varying operating conditions, which makes a single functional linear model (FLM) inadequate to capture the complexity of the true relationship between a functional…

Methodology · Statistics 2024-10-29 Christian Capezza , Fabio Centofanti , Davide Forcina , Antonio Lepore , Biagio Palumbo

A multivariate control chart is designed to monitor process parameters of multiple correlated quality characteristics. Often data on multivariate processes are collected as individual observations, i.e. as vectors one at the time. Various…

Methodology · Statistics 2019-12-23 Jimoh Olawale Ajadi , Zezhong Wang , Inez Maria Zwetsloot

Monitoring several correlated quality characteristics of a process is common in modern manufacturing and service industries. Although a lot of attention has been paid to monitoring the multivariate process mean, not many control charts are…

Methodology · Statistics 2021-04-16 Mohsen Ebadi , Shoja'eddin Chenouri , Dennis K. J. Lin , Stefan H. Steiner

In modern Industry 4.0 applications, a huge amount of data is acquired during manufacturing processes that are often contaminated with anomalous observations in the form of both casewise and cellwise outliers. These can seriously reduce the…

Applications · Statistics 2024-04-17 Christian Capezza , Fabio Centofanti , Antonio Lepore , Biagio Palumbo

Model predictive control (MPC) is of increasing interest in applications for constrained control of multivariable systems. However, one of the major obstacles to its broader use is the computation time and effort required to solve a…

Optimization and Control · Mathematics 2019-10-01 Dominic Liao-McPherson , Marco M. Nicotra , Asen L. Dontchev , Ilya V. Kolmanovsky , Vladimir. M. Veliov

Traditional Statistical Process Control (SPC) is essential for quality management but is limited by its reliance on often violated statistical assumptions, leading to unreliable monitoring in modern, complex manufacturing environments. This…

Machine Learning · Computer Science 2025-12-30 Christopher Burger

In practice, there are processes where the in-control mean and standard deviation of a quality characteristic is not stable. In such cases, the coefficient of variation (CV) is a more appropriate measure for assessing process stability. In…

Applications · Statistics 2020-01-22 P. H. Tran , A. C. Rakitzis , H. D. Nguyen , Q. T. Nguyen , K. P. Tran , C. Heuchenne

Dual control addresses the trade-off between exploitation and exploration, where control inputs both regulate the system and generate informative data for estimation and identification. For certain problem classes, control and estimation…

Optimization and Control · Mathematics 2026-04-08 Tren Baltussen , Nathan P. Lawrence , Alexander Katriniok , Ali Mesbah , Maurice Heemels

Kernel-based multivariate statistical process control (K-MSPC) extends classical monitoring to nonlinear industrial processes. Its performance depends critically on kernel parameters such as lengthscales and variance terms. In current…

The Model Predictive Control (MPC) approach is used in this paper to control the voltage profiles in MV networks with distributed generation. The proposed algorithm lies at the intermediate level of a three-layer hierarchical structure. At…

Systems and Control · Computer Science 2013-11-15 Marcello Farina , Antonio Guagliardi , Federico Mariani , Carlo Sandroni , Riccardo Scattolini

In this article an SPC case study is presented. It consists of monitoring a manufacturing process used for different products of similar kind. So far, each of these products is monitored individually. However, if there is e.g. a quality…

Applications · Statistics 2018-01-08 Thomas Muehlenstaedt

A multivariate dispersion control chart monitors changes in the process variability of multiple correlated quality characteristics. In this article, we investigate and compare the performance of charts designed to monitor variability based…

Methodology · Statistics 2019-06-20 Jimoh Olawale Ajadi , Inez Maria Zwetsloot

Model predictive control (MPC) is a widely used modern control technique with numerous successful application in diverse areas. Much of this success is due to the ability of MPC to enforce state and control constraints, which are crucial in…

Systems and Control · Electrical Eng. & Systems 2020-09-23 Tam W. Nguyen , Syed Aseem Ul Islam , Dennis S. Bernstein , Ilya V. Kolmanovsky

Monitoring multichannel profiles has important applications in manufacturing systems improvement, but it is non-trivial to develop efficient statistical methods due to two main challenges. First, profiles are high-dimensional functional…

Applications · Statistics 2016-03-18 Yuan Wang , Kamran Paynabar , Yajun Mei

Control charts, as had been used traditionally for quality monitoring, were applied alternatively to monitor systems' reliability. In other words, they can be applied to detect changes in the failure behavior of systems. Such purpose…

Applications · Statistics 2022-10-04 Khaled Janada , Hassan Soltan , Mohamed-Sobeih Hussein , Ahmad Abdel-Shafi

In this paper, we propose a model predictive control (MPC) method for real-time intervention of spreading processes, such as epidemics and wildfire, over large-scale networks. The goal is to allocate budgeted resources each time step to…

Optimization and Control · Mathematics 2022-10-31 Ruigang Wang , Armaghan Zafar , Ian R. Manchester

This article provides an overview of model predictive control (MPC) frameworks for dynamic operation of nonlinear constrained systems. Dynamic operation is often an integral part of the control objective, ranging from tracking of reference…

Systems and Control · Electrical Eng. & Systems 2024-01-10 Johannes Köhler , Matthas A. Müller , Frank Allgöwer

Control charts for process monitoring are widely used in practice. Most control charts require the monitored (residuals) process to be serially independent (and to satisfy specified distributional assumptions), whereas undetected dependence…

Methodology · Statistics 2026-05-27 Christian H. Weiß , José M. Amigó
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