Model of technological line for bottling of fruit juices
2018
Francik, S., University of Agriculture in Krakow (Poland) | Lapczynska-Kordon, B., University of Agriculture in Krakow (Poland) | Slomka-Polonis, K., University of Agriculture in Krakow (Poland) | Knapczyk, A., University of Agriculture in Krakow (Poland)
The paper presents a relational model of a technological line used for bottling fruit juices, which constitutes a stage of works aimed at building mathematical and simulation models. The model has been developed using the system analysis method. A relational model is defined as a pair of relations between a set of model elements and a relational structure. Creation of this model is a work stage approaching the construction of mathematical and simulation models. Relation model was developed with the system analysis method developed by Jaros and Pabis. The creation of the empirical system model is carried out in several stages: analysis of the system and its structure, mapping selected system objects into model elements, creating a relational model, analysis of states that are important for the purpose of modelling for each object in the system, formulation of mathematical models, assessing the compliance of the block diagram of the model operation with the model’s relational structure, development of an operational model, programming the operating model. In this publication, we present the first three stages of model creation. The analysis of the complex empirical system of the modelled fruit juice bottling line made it possible to create a system diagram and isolate 24 objects of the actual system. The representation of a set of system objects as a set of model elements made it possible to obtain a relational model consisting of 6 elements and a set of 16 relations, which form the structure of the model. The elements of the relational model include a blower, monobloc, packaging unit, labelling device, transport equipment, check and repair service. In addition, the model includes forklift trucks as an element of the environment. The formulated relational model provides the basis for the development of an operational model and its logical acceptance.
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