A branch and bound method for stochastic integer problems under probabilistic constraints

Patrizia Beraldi, Andrzej Ruszczyski

Research output: Contribution to journalArticlepeer-review

67 Scopus citations

Abstract

Stochastic integer programming problems under probabilistic constraints are considered. Deterministic equivalent formulations of the original problem are obtained by using p-efficient points of the distribution function of the right hand side vector. A branch and bound solution method is proposed based on a partial enumeration of the set of these points. The numerical experience with the probabilistic lot-sizing problem shows the potential of the solution approach and the efficiency of the algorithms implemented.

Original languageEnglish (US)
Pages (from-to)359-382
Number of pages24
JournalOptimization Methods and Software
Volume17
Issue number3 SPEC.
DOIs
StatePublished - Jun 2002

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Optimization
  • Applied Mathematics

Keywords

  • Branch and bound
  • Probabilistic programming
  • Stochastic integer programming

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