In this paper we propose an approach based on affine parameterization of the recourse policy for the solution of multi-stage optimization problems that arise in the context of allocation of financial portfolios over multiple periods. Such problems are typically dealt with using the multi-stage stochastic programming paradigm, which has the drawback of being computationally intractable. Here, we show that imposing an affine structure to the recourse policy results in an explicit and exact problem formulation, which is efficiently solvable by means of interior point methods for convex second order cone programs.

On two-stage portfolio allocation problems with affine recourse / Calafiore, Giuseppe Carlo; M. C., Campi. - STAMPA. - (2006), pp. 8042-8047. (Intervento presentato al convegno Joint 44th IEEE Conference on Decision and Control and European Control Conference tenutosi a Seville, Spain nel 12-15 Dec. 2005) [10.1109/CDC.2005.1583463].

On two-stage portfolio allocation problems with affine recourse

CALAFIORE, Giuseppe Carlo;
2006

Abstract

In this paper we propose an approach based on affine parameterization of the recourse policy for the solution of multi-stage optimization problems that arise in the context of allocation of financial portfolios over multiple periods. Such problems are typically dealt with using the multi-stage stochastic programming paradigm, which has the drawback of being computationally intractable. Here, we show that imposing an affine structure to the recourse policy results in an explicit and exact problem formulation, which is efficiently solvable by means of interior point methods for convex second order cone programs.
2006
0780395670
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1409005
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