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On the Penalization Method in Convex Stochastic Programming

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Operations Research in Progress

Part of the book series: Theory and Decision Library ((TDLU,volume 32))

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Abstract

In this paper we consider a constrained stochastic optimization problem of the following type (cf. [4]). Let f and g.,j=l…,m be (unknown) convex continuous functions defined on IRq, the q-dimensional Euklidean space.

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References

  1. Ermoliev, Yu.M. (1976). Stochastic Programming Methods. Nauka, Moscows

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  2. Gupal, A.M. (1974). On the stochastic programming problem with constraints. Kibernetika, 6.

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  3. Hiriart-Urruty, J.B. (1976). These. Annales de L’Université de Clermont n° 58, Math., 12ieme fasc.

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  4. Pflug, G.Ch. (1981). On the convergence of a penalty-type stochastic optimization procedure. Submitted to Journal of Information & Optimization Sciences.

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  5. Schmetterer, L. (1980). Über ein Verfahren von Hiriart-Urruty. Sitzungsber i chte der Österr. Akademie der Wissenschaften.

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© 1982 D. Reidel Publishing Company

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Pflug, G.C. (1982). On the Penalization Method in Convex Stochastic Programming. In: Feichtinger, G., Kall, P. (eds) Operations Research in Progress. Theory and Decision Library, vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7901-7_5

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  • DOI: https://doi.org/10.1007/978-94-009-7901-7_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7903-1

  • Online ISBN: 978-94-009-7901-7

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