Fusion: Practice and Applications FPA 2692-4048 2770-0070 10.54216/FPA https://www.americaspg.com/journals/show/4046 2018 2018 Models and Algorithms for Minimizing Errors in Managing the Consumption of Fuel and Energy Resources Tashkent State University of Economics, 49 Islam Karimov Street, 100066 Tashkent, Uzbekistan Murodjon Murodjon School of ICT, College of Sciences and Engineering, University of Tasmania, Hobart TAS 7001, Australia Botirjon Karimov Tashkent State University of Economics, 49 Islam Karimov Street, 100066 Tashkent, Uzbekistan Olimjon Uralov Tashkent State University of Economics, 49 Islam Karimov Street, 100066 Tashkent, Uzbekistan Nodir Akbarov Managing fuel and energy resources (FER) efficiently is still a major challenge for energy-intensive industries like oil and gas. This paper presents a practical framework that combines mathematical models with easy-to-run algorithms to plan and control FER use in real time. Our twin goals are to cut costs and keep equipment dependable. We first outline the main parts of an energy-management system for an oil-and-gas operation, and then list the key tasks, factors, and decision criteria. The framework has two complementary paths: Path 1 relates FER use to production output via Lagrange optimization, while Path 2 fine-tunes forecasts with a simple least-squares correction based on metered data. Both paths are implemented as executable algorithms and tested on real electricity and fuel-gas datasets. The new method cuts monthly FER-planning errors by up to 80 %, reducing penalties and helping equipment last longer. 2026 2026 42 55 10.54216/FPA.210203 https://www.americaspg.com/articleinfo/3/show/4046