The multidimensional Shewhart control chart for multicriteria quality management

Successfulness and prosperity of companies in the global market to a large extent depends on the ability to measure and evaluate the quality of their own products. Product quality is mostly determined by a group of measurable criteria. Therefore, for each criterion applies separate control chart as a basic tool for quality management. The contribution addresses the issue of how to design a multi-dimensional modification of the classical Shewhart control chart for the needs of multi-criteria statistical quality control. This is a proposal for construction of n-dimensional control chart based on the classical Shewhart control chart for the regulation by measuring. This proposal is based on a geometric interpretation of the control chart algorithm, at what is used the metric of Euclidean real vector space En. Attention in the work is devoted to defined geometrical structures of space used and possibilities how to use them. It is also remitted to the visualization possibilities of process variability development in two- or three-dimensional representation.