Solving Stochastic Linear Programs with Restricted RecourseUsing Interior Point Methods

  • Authors:
  • Patrizia Beraldi;Roberto Musmanno;Chefi Triki

  • Affiliations:
  • Dipartimento di Elettronica, Informatica e Sistemistica, Università degli Studi della Calabria, 87036 Rende (CS), Italy. beraldi@parcolab.unical.it;Dipartimento di Ingegneria, dell'Innovazione, Università degli Studi di Lecce, 73100 Lecce, Italy. musmanno@ingle01.unile.it;Dipartimento di Elettronica, Informatica e Sistemistica, Università degli Studi della Calabria, 87036 Rende (CS), Italy. chefi@parcolab.unical.it

  • Venue:
  • Computational Optimization and Applications
  • Year:
  • 2000

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Abstract

In this paper we present a specialized matrix factorizationprocedure for computing the dual step in a primal-dual path-followinginterior point algorithm for solving two-stage stochastic linear programswith restricted recourse. The algorithm, based on the Birge-Qifactorization technique, takes advantage of boththe dual block-angular structure of the constraint matrix and of thespecial structure of the second-stage matrices involvedin the model. Extensive computational experiments on a set oftest problems have been conducted in order to evaluate theperformance of the developed code. The results are very promising,showing that the code is competitive with state-of-the-artoptimizers.