: 77-83
Lviv Polytechnic National University
Department of Heat and Gas Supply, and Ventilation, Lviv Polytechnic National University
Lviv Polytechnic National University, Department of Heat and Gas Supply and Ventilation
Lviv Polytechnic National University, Department of Heat and Gas Supply and Ventilation
Lviv Polytechnic National University

The article presents the results of theoretical research on obtaining of the maximum profit by the installation and procurement company in the manufacture and sale of pipe billets for the installation of ventilation systems in the production premise. Graphical and analytical dependences are given. The results of research substantiate the receipt of the maximum profit in the manufacture and sale of the ventilation pipe billets of the different diameters by the installation and procurement enterprise. The purpose of the work is to increase the efficiency of ventilation system installationin production facilities, to determine the maximum profit for the installation and procurement company in the manufacture and sale of pipe billets of the different diameters of ventilation system in the presence of several restrictions on materials and manpower, identify ways to improve installation of ventilation system in production facilities of small volume and justification of the calculation method. Quantitative characteristics of the objective function under given initial conditions are established. The calculated dependences for determining the parameters of the objective function are obtained. The obtained results allow to determine the optimal parameters of the values at the given restrictions on materials and labor intensity of production. The maximum profit in the manufacture and sale of ventilation pipe billets of different diameters by the procurement and installation company is determined. Using of the graphical method and the simplex method to determine the required parameters can significantly increase the efficiency criteria for procurement and installation work and thus reduce the amount of labor and material consumption for the manufacture and installation of ventilation systems.

Kapalo, P., Domnita, F., Bacotiu, C., & Spodyniuk, N. (2018). The impact of carbon dioxide concentration on the human health - case study, Journal of Applied Engineering Sciences, Vol. 8, no. 1, 61-66. ISSN 2284-7197,

Kapalo, P., Meciarova, L., Vilcekova, S., Burdova, E., Domnita, F., Bacotiu, & C. Peterfi, K. (2019). Investigation of CO2 production depending on physical activity of students. International Journal of Environmental Health Research. Vol. 29, Issue 1, 31-44. ISSN:09603123.

Kapalo, P., Sedláková, A., Košicanová, D., Voznyak, O., Lojkovics, J., & Siroczki, P. (2014). Effect of ventilation on indoor environmental quality in buildings. The 9th International Conference "Environmental
Engineering", 22-23 May 2014, Vilnius, Lithuania SELECTED PAPERS, eISSN 2029-7092 / eISBN 978-609-457-640-9 Section: Energy for Buildings.

Kapalo, P., Voznyak, O., Yurkevych, Yu., Myroniuk, Kh., & Sukholova, I. (2018). Ensuring comfort microclimate in the classrooms under condition of the required air exchange, Eastern European Journal of Enterprise Technologies, Vol 5/10 (95), 6-14.

Kapalo, P., Vilcekova, S., & Voznyak, O. (2014).Using experimental measurements the concentrations of carbon dioxide for determining the intensity of ventilation in the rooms, Chemical Engineering Transactions, Vol.39, 1789-1794.ISBN 978-88-95608-30-3; ISSN 2283-9216

Kapalo, P., Vilceková, S., Domnita, F., Bacotiu, C., & Voznyak, O. (2017). Determining the Ventilation Rate inside an Apartment House on the Basis of Measured Carbon Dioxide Concentrations - Case Study, The 10th International Conference on Environmental Engineering, Vilnius, Lithuania, Selected Papers, 30-35.

Voznyak, O., Korbut, V., Davydenko, B., & Sukholova, I. (2019). Air distribution efficiency in a room by a two-flow device. Proceedings of CEE, Advances in Resourse-saving Technologies and Materials in Civil and Environmental Engineering, Springer, Vol 47, 526-533.

Voznyak, O., Myroniuk, K., & Dovbush,O. (2005). Relationship between a Person Heat Exchange and Indoor Climate. Selected scientific Papers 10th Rzeszow-Lviv-Kosice Conference 2005 Supplementary
Issue.Technical University of Kosice. 148-152.

Gumen, O.M., Dovhaliuk, V.B., & Міleikovskyi, V.O. (2016). Determination of the intensity of turbulence of streams with large-scale vortices on the basis of geometric and kinematic analysis of macrostructure. Proc. of Lviv Polytechnic National University: The theory and building practice, No.844, 76-83 (in Ukrainian).

Dovhaliuk, V.B., & Міleikovskyi, V.O. (2007). Efficiency of organization of air exchange in heat-stressed premises in compressed conditions, Journal: Building of Ukraine, No.3, 36. (in Ukrainian).

Dovhaliuk, V.B., & Міleikovskyi, V.O. (2008).Estimated model of non-isothermal stream, which is laid out on a convex cylindrical surface.Ventilation, Illumination and Heat and Gas Supply: Scientific and Technical
Collection, Issue 12, Kyiv, KNUBA, 11-32 (in Ukrainian).

Dovhaliuk, V.B., & Міleikovskyi, V.O. (2013). Analytical studies of the macrostructure of jet currents for calculating energy-efficient systems of air distribution. Energy efficiency in construction and architecture, Issue 4, 11-32 (in Ukrainian).

Zhelykh, V.M, Voznyak, O.T, Dovbush, O.M, Yurkevich, Yu. S., Savchenko, O.O (2019). Technologies of procurement and installation of heating and ventilation systems. Lviv: Lviv Polytechnic Publishing House (in Ukrainian).

Gass, S. (1961). Linear programming (methods and applications. Moscow, M: Fizmatgiz (in Russian).

Danzig, J. (1966). Linear programming, its applications and generalizations. Translation from English. Moscow, M: Progress (in Russian).

Lyashenko, I.N., et al. (1975). Linear and nonlinear programming. Kyiv: High School (in Russian).

Pupkov, K.A. (1974). Fundamentals of Cybernetics. Mathematical foundations of cybernetics. Moscow, M: High School (in Russian).