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Virginia Tech

A reliability-based method for optimization programming problems

Abstract

dc:description.abstract

In this study, a method is developed to solve general stochastic programming problems. The method is applicable to both linear and nonlinear optimization. Based on a proper linearization, a set of probabilistic constraints (performance functions) can be transformed into a corresponding set of deterministic constraints. this is accomplish by expanding all the constraints about the most probable failure point. The use of the proposed method allows the simplification of any stochastic programming problems into a standard linear programming problem. Numerical examples are applied to the area of probability- based optimum structural design.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Engineering Mechanics
Department dc:contributor.department
Engineering Mechanics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1992

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Esteban, Jaime
Chair dc:contributor.committeechair
  • Thangjitham, Surot
Committee members dc:contributor.committeemember
  • Heller, Robert A.
  • Morton, John

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-03302010-020045
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/41801

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Esteban, Jaime. A reliability-based method for optimization programming problems. masters thesis, Virginia Tech, 1992. http://hdl.handle.net/10919/41801