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SUMMARY This paper presents a conceptual framework towards the development of a mathematical model of a production system. The framework is functional, and it is designed to permit a rational mathematical formulation of the transient and steady state operation of production systems. The boundaries and nature of a generalized production system are defined with reference to the organization system and environmental systems. The sub-systems and component functions of the production system are then defined and classified in terms of trees, stages, streams, levels, and components. The dimensions and units necessary for a quantitative analysis of the streams, levels, and components are defined. The types of mathematical relationships pertinent in defining the system operating functions are described and typical resulting equations presented
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Alcalay et al. (1963) studied this question.
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