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General Quadratic Programming and Its Applications in Response Surface Analysis

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Optimization and Optimal Control

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 39))

Summary

In this chapter, we consider the response surface problems that are formulated as the general quadratic programming. The general quadratic programming is split into convex quadratic maximization, convex quadratic minimization, and indefinite quadratic programming. Based on optimality conditions, we propose finite algorithms for solving those problems. As application, some real practical problems arising in the response surface, one of the main part of design of experiment, have been solved numerically by the algorithms.

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References

  1. Adler, U.P., Markova, E.V., Granovskii, U.V.: Design of Experiments for Search of Optimality Conditions, Nauka, Moscow (1976)

    Google Scholar 

  2. Ahnarazov, S.L., Kafarov, V.V.: Optimization Methods of Experiments in Chemical Technology, Bishaya Shkola, Moscow (1985)

    Google Scholar 

  3. Anderson, V.L., McLean, R.A.: Design of Experiments, Marcel Dekker, New-York, Ny (1974)

    MATH  Google Scholar 

  4. Asaturyan, B.I.: Theory of Design of Experiments, Radio and Net, Moscow (1983)

    Google Scholar 

  5. Atkinson, A.C., Bogacka, B., Zhigljavsky, A., (Eds.): Optimum Design 2000, Kluwer, Dordrecht, Boston MA (2001)

    MATH  Google Scholar 

  6. Atkinson, A.C., Donev, A.N.: Optimum Experimental Designs, Oxford University Press, Oxford (1992)

    MATH  Google Scholar 

  7. Bazarsad, Y., Enkhtuya, D., Enkhbat, R.: Optimization of a technological process of wool strings. Sci. J. Mongolian Tech. Univ. 1 (16), 54–60 (1994)

    Google Scholar 

  8. Boer, E.P.J., Hendrih, E.M.T.: Global optimization problems in optimal design of experiments in regression models. J. Global Optim. 18, 385–398 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  9. Chimedochir, S., Enkhbat, R.: Optimization of a technological process of production of fruits’s (chazargan) oil. Sci. J. Mongolian Tech. Univ. 1 (23), 91–98 (1996)

    Google Scholar 

  10. Enkhbat, R.: An algorithm for maximizing a convex function over a simple set. J. Global Optim. 8, 379–391 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  11. Enkhbat, R., Chuluunhuyag, S.: Mathematical model of a technological process of reducing of amount of iron in water. Sci. J. Mongolian Inst. Waterpolicy 1, 68–76 (1996)

    Google Scholar 

  12. Enkhbat, R., Kamada, M., Bazarsad, Y.: A finite method for quadratic programming. J. Mongolian Math. Soc. 2, 12–30 (1998)

    MathSciNet  MATH  Google Scholar 

  13. Ermakov, S.M., Zhigljavsky, A.A.: Mathematical Theory of Optimal Experiments, Nauka, Moscow (1987)

    Google Scholar 

  14. Fedorov, V.V.: Theory of Optimal Experiments, Academic, New York, NY (1972)

    Google Scholar 

  15. Fisher, R.A.: Design of Experiments, Hafner, New York, NY (1966)

    Google Scholar 

  16. Fukelsheim, F.: Optimal Design of Experiments, Wiley, New York, NY (1993)

    Google Scholar 

  17. Gorskii, B.G., Adler, U.P., Talalai, A.M.: Design of Experiments in Industries, Metallurgy, Moscow (1978)

    Google Scholar 

  18. Hill, W.J., Hunter, W.G.: Response Surface Methodology, Technical Report No.62, University of Wisconsin, Madison, WI (1966)

    Google Scholar 

  19. Horst, R., Tuy, H.: Global Optimization, Springer, New York, NY (1990)

    MATH  Google Scholar 

  20. Myers, R.H.: Response Surface Methodology, Allyn and Bacon, Boston, MA (1971)

    Google Scholar 

  21. Rockafellar, R.T.: Convex Analysis, Princeton University Press, Princeton, NJ (1970)

    MATH  Google Scholar 

  22. Ruvinshtein, U.B., Bolkova, L.A.: Mathematical Methods for Extraction of Treasures of the Soil, Nedra, Moscow (1987)

    Google Scholar 

  23. Sebostyanov, A.G., Sebostyanov, P.A.: Optimization of Mechanical and Technological Processes of Textile Industries, Nedra, Moscow (1991)

    Google Scholar 

  24. Tsetsgee, D.: Optimization of Frying Process of National Cookies. PhD Thesis, Mongolian Technical University, Mongolia (1997)

    Google Scholar 

  25. Vasiliev, O.V.: Optimization Methods, World Federation Publishers, Atlanta, GA (1996)

    MATH  Google Scholar 

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Correspondence to Rentsen Enkhbat .

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Enkhbat, R., Bazarsad, Y. (2010). General Quadratic Programming and Its Applications in Response Surface Analysis. In: Chinchuluun, ., Pardalos, P., Enkhbat, R., Tseveendorj, I. (eds) Optimization and Optimal Control. Springer Optimization and Its Applications(), vol 39. Springer, New York, NY. https://doi.org/10.1007/978-0-387-89496-6_6

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