The economical supply of natural gas is faced with particular problems due to the considerably fluctuating demand as a result of the greatly varying course of temperature; the infrastructure of the gas distribution of largely fluctuating loads is particularly effected. As the utilization structure deteriorates however, the higher specific gas costs rise. It is hence necessary for gas supply optimization, to extensively adapt the gas bought to the gas sold especially when trying to compare with the import. Storage plays a key role in this. Starting with the annual normal line, mathematical relationships are developed for peak coverage wth liquefied natural gas which however, are set up in such a way that every other peak coverage process can be analyzed according to costs and the parameters optimized. A few selected model cases are treated (gas supply undertakings of various sizes, different gas drawing and supply conditions).