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Mathematical Description of Manufacturing Processes

In: Introduction to Process Control

Author

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  • Victor A. Skormin

    (Binghamton University)

Abstract

Mathematical description of a manufacturing process resulting in a mathematical model presents a basis for objective analysis, control, and optimization. Model-based process analysis includes prediction of the process outcome and its particular characteristics, “what if” analysis, and the evaluation of the effects of particular factors on the process. Mathematical models in the form of transfer functions are invaluable for the analysis and synthesis of control systems maintaining the desired operation of the process in spite of various disturbance factors. A mathematical model allows for the formalization of the process optimization problem, and serves as a “guinea pig” during the optimization search. Implemented in a simulation environment, a mathematical model presents an ideal testbed for the validation of the most advanced control and optimization schemes. In order to be usable, a mathematical model must be updated and valid. This section presents practical techniques for the development, validation, and updating of mathematical models utilizing statistical data.

Suggested Citation

  • Victor A. Skormin, 2016. "Mathematical Description of Manufacturing Processes," Springer Texts in Business and Economics, in: Introduction to Process Control, chapter 0, pages 37-110, Springer.
    • Handle: RePEc:spr:sptchp:978-3-319-42258-9_2
    DOI: 10.1007/978-3-319-42258-9_2
    as

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