Household energy consumption optimization based on forecast schedule maximum load of household appliances

The problem of optimization of household energy consumption by constructing an optimal schedule for the use of household appliances. The formulation of the task is specified, the set of all types of household appliances is divided into 4 groups: devices with thermostatic control, devices with a cyclic mode of operation, devices with the ability to interrupt and resume the cycle of work and instruments with the possibility performing one job at different time intervals with different power consumption. For each group, the requirements for functioning are formalized and mathematical models are constructed, describing these requirements for the operation of the instrument and a graph of its energy consumption. With the use of these models, an algorithm is developed for optimizing the operation schedules of devices and shows how to reduce this problem to the main integer programming problem, in which as the objective function is the total cost of electricity consumed. Particular attention is paid to the possibility of practical application of the obtained algorithm, simplicity and convenience of input of initial data.