Advertisement

Mathematical Description of Manufacturing Processes

  • Victor A. Skormin
Chapter
  • 1.5k Downloads
Part of the Springer Texts in Business and Economics book series (STBE)

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.

Keywords

Mathematical models Parameter estimation Cluster analysis Singular value decomposition 

Supplementary material

Bibliography

  1. 1.
    Sam Kash Kachigan, Multivariate Statistical Analysis: A Conceptual Introduction, 2nd Edition, ISBN-13: 978-0942154917Google Scholar
  2. 2.
    Alvin C. Rencher, William F. Christensen, Methods of Multivariate Analysis 3rd Edition, Wiley, ISBN-13: 978-0470178966Google Scholar
  3. 3.
    Astrom, K.J. and Wittenmark, B., Adaptive Control, Addison-Wesley Publishing Company.Google Scholar
  4. 4.
    V. Skormin, V. Gorodetski, L. Popyack, “Data Mining Technology for Failure Prognostics of Avionics,” IEEE Trans. On Aerospace and Electronic Systems 38, no. 2 (Apr 2002): 388–402.Google Scholar
  5. 5.
    A. Tarakanov and V. Skormin, Immunocomputing: Principles and Applications, Springer, 2002Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Victor A. Skormin
    • 1
  1. 1.T.J. Watson School of EngineeringBinghamton UniversityBinghamtonUSA

Personalised recommendations