Abstract

The modern development of data acquisition technologies in many industrial processes is facilitating the collection of quality characteristics that are apt to be modeled as functions, which are usually referred to as profiles. At the same time, measurements of concurrent variables, which are related to the quality characteristic profiles, are often available in a functional form as well, and usually referred to as covariates. To adjust the monitoring of the quality characteristic profiles by the effect of this additional information, a new functional control chart is elaborated on the residuals obtained from a function-on-function linear regression of the quality characteristic profile on the functional covariates. By means of a Monte Carlo simulation study, the proposed control chart is compared with other control charts already appeared in the literature and some remarks are given on its use in presence of covariate mean shifts. Furthermore, a real-case study in the shipping industry is presented with the purpose of monitoring ship fuel consumption and thus, CO₂ emissions from a Ro-Pax ship, with particular regard to detecting their reduction after a specific energy efficiency initiative.

摘要

许多工业过程中数据采集技术的现代发展正在促进质量特性的收集，这些特性易于建模为函数，通常称为配置文件。同时，与质量特征曲线相关的并发变量的测量通常也以函数形式提供，通常称为协变量。为了通过这些附加信息的影响调整质量特征曲线的监测，对从质量特征曲线对函数协变量的函数对函数线性回归获得的残差详细阐述了一个新的功能控制图。通过蒙特卡罗模拟研究，建议的控制图与文献中已经出现的其他控制图进行了比较，并对其在存在协变量均值漂移的情况下的使用给出了一些评论。此外，还介绍了航运业的真实案例研究，目的是监测船舶燃料消耗，从而监测 CO₂ Ro-Pax 船舶的排放量，特别是在特定能效举措后检测其减少量。