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Quality Control and Free Boundary Problems

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Extremal Methods and Systems Analysis

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 174))

Abstract

Let w be a variable point in the space of continuous functions with values in Rn: Ω = C([0,∞); Rn). Thus ω = x(ο) where x(t) is a continuous n-vector function for 0 ≤ t< ∞.

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References

  1. R. F. Anderson and A. Friedman, A quality control problem and quasi-variational inequalities, Archive Rat, Mech. Analys., 63 (1977), 205–252.

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  2. R. F. Anderson and A. Friedman, Multi-dimensional quality control problems and quasi variational inequalities, Trans, Amer. Math. Soc., to appear.

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  3. R. F. Anderson and A. Friedman, Quality control for Markov chains and free boundary problems, Trans. Amer, Math. Soc., to appear.

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  4. A. Bensoussan and J. L. Lions, Problemes de Temps d’arret Optimal et Inequations Variationnelles Paraboliques, Applicable Analys., 3 (1973), 267–294.

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  5. A. Bensoussan and J. L. Lions, Nouvelles Methodes en Controle Impulsionnel, Appl, Math, and Optimization, 1 (1975), 289–312.

    Article  Google Scholar 

  6. A. Friedman, Stochastic Differential Equations and Applications, vol. 2, Academic Press, New York, 1976.

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  7. A. Friedman, On the free boundary of a quasi variational inequality arising in a problem of quality control, Trans. Amer. Math. Soc., to appear.

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  8. M. Robin, Controle Impulsionnel des processus de Markov, thesis, IRIA, Domaine de Voluceau, Rocquencourt, France, 1977.

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  9. A. N. Shiryaev, Some new results in the theory of controlled random processes, Selected Translations in Mathematical Statistics and Probability, vol. 8, 49–130, Amer, Math. Soc., 1970, Providence, R. I.

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© 1980 Springer-Verlag Berlin Heidelberg

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Friedman, A. (1980). Quality Control and Free Boundary Problems. In: Fiacco, A.V., Kortanek, K.O. (eds) Extremal Methods and Systems Analysis. Lecture Notes in Economics and Mathematical Systems, vol 174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46414-0_27

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  • DOI: https://doi.org/10.1007/978-3-642-46414-0_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09730-3

  • Online ISBN: 978-3-642-46414-0

  • eBook Packages: Springer Book Archive

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