University of Illinois Urbana-Champaign

Decision-making under uncertainty using a new chance constrained programming technique: A groundwater reclamation application

Morgan, David Rhys

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https://hdl.handle.net/2142/23677

Description

Title
Decision-making under uncertainty using a new chance constrained programming technique: A groundwater reclamation application
Author(s)
Morgan, David Rhys
Issue Date
1990
Doctoral Committee Chair(s)
Eheart, J. Wayland
Department of Study
  • Geotechnology
  • Engineering, Civil
  • Environmental Sciences
  • Operations Research
Discipline
  • Geotechnology
  • Engineering, Civil
  • Environmental Sciences
  • Operations Research
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • Geotechnology
  • Engineering, Civil
  • Environmental Sciences
  • Operations Research
Language
eng
Abstract
A new distribution free chance constrained programming technique is developed and applied to the design of hydraulic gradient control methods for containment and removal of contamination in an aquifer. The spatial distribution of parameters such as transmissivity in a heterogeneous domain make the value at any point uncertain. Because of this uncertainty a reliability based method is required. The chance constrained method is developed to produce a trade off curve of least cost versus reliability. A set of realizations of any statistical distribution can be generated and used to develop reliability based designs. The method is based on including numerous constraint sets, each representing one set of transmissivities, in a linear programming formulation of the design problem and allowing a certain percentage of the constraint sets to be violated. A small example is used to developed the method and a large more realistic example is used to test the method and compare it to other design methods.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/23677
Copyright and License Information
Copyright 1990 Morgan, David Rhys

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