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Management of production is a cornerstone of every economic system. This paper provides a formal description of a production unit (e.g. factory) represented by an agent in an artificial economic system. The concept of the production unit consists of several layers representing respective control processes from the operational up to the strategic level. For maintaining continuous production and optimization of the production unit performance, both the geographical (location of resources, the distance between factories) as well as economic (market structures, competition) context is important. Attention is focused primarily on the formal description of multi-plant production model with autonomous control with facilities situated in distributed geographical locations.