In this article, I determine the grouped hyperplane distribution of the affine space An (SH-distribution) and prove the relevant existence theorem. I perform internal normalizations of the main structural subbundles of the SH-distribution in first and second-order differential neighbourhoods. Normal and tangent affine connections of the main structural subbundles of the SH-distribution are introduced.
This study aims to identify the features of the simulation modelling of a hospitality business. Such simulations can be used to increase the efficiency of property management in view of the major trends in the relevant segments of the tourism industry. We suggest an approach to the simulation modelling of a hospitality facility that will help to streamline its structure and increase the profits of the business.
We present an information system capable of performing the Mamdani algorithm operations, plotting graphs for the functions of fuzzy linguistic variables, and creating diagrams for a visual assessment of each type of expenditure. We provide a block diagram and describe a general algorithm for the information system operation. A class diagram of information system implementation is created in the UML. We outline the main principles of the system operation and describe the testing of the system and the analysis of the results obtained.