Abstract
SUMMARY Optimal power balance in complex systems such as natural gas refineries has been studied by Gignoux, Littauer & Starr for a model of interconnected units whose energy consumption or production is constant and where the system's power requirements fluctuate owing to failure of various units. In the present paper the distribution functions of power requirements are obtained for a similar discrete model and also for a continuous model where the quantities of power consumed or produced are themselves random variables. The optimal balance between power self generated and power purchased from an outside source is derived by application of the distribution functions and illustrated by a numerical example. The method is general and applicable to other systems of power generation.
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