Metrisable assessment of the course of stream-systemic processes in vector form in industry 4.0
Autor: | Radosław Wolniak, Radosław Drozd |
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Rok vydání: | 2021 |
Předmět: |
Statistics and Probability
Discrete mathematics Manufacturing process 05 social sciences Scalar (mathematics) Structure (category theory) General Social Sciences State (functional analysis) 010501 environmental sciences Manufacturing systems 01 natural sciences Product (mathematics) 0502 economics and business Representation (mathematics) 050203 business & management 0105 earth and related environmental sciences Mathematics |
Zdroj: | Quality & Quantity. 55:2161-2176 |
ISSN: | 1573-7845 0033-5177 |
Popis: | The goal of this paper is to present an innovative conception how to use metrisable vector structure of a manufacturing process, based on quantitative relations between the activity of input streams, features of the product, and effect of losses; all of which are excellent practical solution for Industry 4.0, and in turn intelligent factories. This solution can be a usefull way in the process of building sustainable organization. A vector representation of manufacturing processes was formulated, one which is based in system engineering. Three manufacturing system state vectors were proposed. These are: input stream vector$${\upphi }$$ϕ, product features vector$$\overrightarrow {{\text{ P}}}$$P→which is also referred to as quality vector, and losses vector$$\overrightarrow {{\text{ S}}}$$S→. Scalar, vector, and mixed products of these vectors may form constitutive equations of manufacturing processes. The relations between the vectors$$\upphi$$ϕ,$$\overrightarrow {{\text{ P}}}$$P→,$$\overrightarrow {{\text{ S}}}$$S→provide a possibility for a metrisable, complex analysis and assessment of a contemporary manufacturing process. The paper shows practical methods for defining the size of the vector values within the process. The demonstrated vector description of stream-systemic processes can also be applied to non-material manufacturing. |
Databáze: | OpenAIRE |
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