A PROPOSAL FOR A GENERAL MODEL OF A PRODUCTION SYSTEM

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