In Ukraine, where, unlike the countries of the European Union that use district heating systems and have invested more than €80 billion in their modernization over the past 30 years, during 1990-2020 there was no necessary investment in the modernization of district heating systems, especially badly worn out heating systems combined heat and power plants and heating networks, losses of thermal energy in heat sources and networks are the largest in Europe, rational work is needed to further improve the technical level of heat supply systems based on innovative, highly efficient technologies and equipment; reduction of non-production losses of heat energy and fuel consumption; ensuring controllability, reliability, safety and efficiency of heat supply; reducing the negative impact on the environment. And in this case, the planning of works that are significant in terms of volume, cost and time becomes especially relevant to the use of economic and mathematical models and methods existing in the theory of planning and network management, such as the Critical Path Method, Program Evaluation and Review Technique, Graphical Evaluation and Review Technique, which involve working with networks, and related software like Project Standard, Open Plan, Primavera Project Planner, SureTrak Project Manager and others that will help generate invariants of management decisions regarding the sequencing and timing of use limited resources throughout the entire period of the project, dynamically adjust the timing of the start of each type of work, carry out the optimal distribution of funds allocated to the project in terms of reducing the duration of the entire project, analyze the trade-off relationships between p the costs and timing of various works, taking into account the available reserve of time, when it comes to a large number of interrelated works that must be performed in a strict technological sequence, require timing and control in order to achieve the task. The article is devoted to the systematization and review of such methods for calculating network parameters (network graphics) such as analytical, matrix, tabular and with the use of electronic computers (computers). The expediency of adapting them to the practice of effective planning and management of modernization, reconstruction and replacement of technological equipment of heat points and heating networks of heat power enterprises in order to reduce costs in the production, transmission and distribution of heat energy for the implementation of the Energy Strategy of Ukraine for the period up to 2035 is substantiated.