  Today, power waste is one of the most crucial problems which power stations
across the world are facing. One of the recent trends of the energy system is
the lean management technique. When lean management is indicated by the system,
customer value is increased and the waste process in industry or in a power
station is reduced. In this paper, first of all, we propose mathematical
modeling to reduce the cost of production, and then the simulation technique
applies to electricity transmission distribution systems. Furthermore, we
consider two criteria for comparison including the different costs of the
system and the rate of energy waste during the transmission. The primary
approach is to use both of the models in order to draw a comparison between
simulation results and mathematical models. Finally, the analysis of the test
results done by the CPLEX toolbox of MATLAB Software 2019 leads to a remarkable
decrease in the costs of energy demand in the electricity transmitting network
distribution system.
