The optimization problems of gas transmission for different optimality criteria are presented. The analysis of factors that influence both calculation of operating mode parameters and complexity of algorithms of search of their optimal values is carried out. In the course of conducting numerical experiments, some classes of problems being solved in an optimization statement are demonstrated.
A mathematical model of the gas transmission system is studied in this article. Models of gas flows in the main technological objects that are involved in the transportation of gas are represented. The structure of the system is represented in terms of graph theory. Adaptive algorithm of the gas transportation system model implementation is constructed and real-world examples of its work are presented in this paper.
A two-level model for the structure of a natural gas transmission system has been built with the use of methods of set and graph theories. The model is intended for development of software for automation of management by the system.