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Journal ArticleDOI

Containing groundwater contamination: Planning models using stochastic programming with recourse

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TLDR
In this article, the problem of operating pumping wells in order to contain an area of groundwater contamination when the aquifer properties of the area are uncertain is examined. And the problem is solved using an extension to the Finite Generation Algorithm that will find an at least locally optimal solution.
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This article is published in European Journal of Operational Research.The article was published on 1994-08-25. It has received 30 citations till now. The article focuses on the topics: Stochastic programming.

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Optimization under uncertainty: state-of-the-art and opportunities

TL;DR: This paper reviews theory and methodology that have been developed to cope with the complexity of optimization problems under uncertainty and discusses and contrast the classical recourse-based stochastic programming, robust stochastics programming, probabilistic (chance-constraint) programming, fuzzy programming, and stochastically dynamic programming.
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An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty

TL;DR: This study presents an interval-parameter fuzzy two-stage stochastic programming (IFTSP) method for the planning of water-resources-management systems under uncertainty and demonstrates how the method efficiently produces stable solutions together with different risk levels of violating pre-established allocation criteria.
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A Two-Stage Interval-Stochastic Programming Model for Waste Management under Uncertainty

TL;DR: The developed TISP model provides a linkage to predefined policies determined by authorities that have to be respected when a modeling effort is undertaken and furnishes the reflection of uncertainties presented as both probabilities and intervals.
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An Exact Solution Approach Based on Shortest-Paths for P -Hub Median Problems

TL;DR: A novel exact-solution approach for solving the multiple-allocation case of the p-hub median problem is described and it is shown how a similar method can be adapted for solved the more difficult single-allocated case.
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ITOM : an interval-parameter two-stage optimization model for stochastic planning of water resources systems

TL;DR: The modeling results indicate that an optimistic water policy corresponding to higher agricultural income may be subject to a higher risk of system-failure penalties; while, a too conservative policy may lead to wastage of irrigation supplies.
References
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Journal ArticleDOI

L-shaped linear programs with applications to optimal control and stochastic programming.

TL;DR: An algorithm for L-shaped linear programs which arise naturally in optimal control problems with state constraints and stochastic linear programs (which can be represented in this form with an infinite number of linear constraints) is given.
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A Stochastic-Conceptual Analysis of One-Dimensional Groundwater Flow in Nonuniform Homogeneous Media

TL;DR: In this paper, the effects of stochastic parameter distributions on predicted hydraulic heads are analyzed with the aid of a set of Monte Carlo solutions to the pertinent boundary value problems, and the results show that the standard deviations of the input hydrogeologic parameters, particularly σy and σc, are important index properties; changes in their values lead to different responses for even when the means μy, μc, and μn are fixed.
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Stochastic subsurface hydrology from theory to applications

TL;DR: In this paper, the authors used perturbation-based spectral theory to estimate the head variance, effective conductivity tensor, and macrodispersivity tensors in a field, and used these results to answer important questions about the large-scale behavior of naturally heterogeneous aquifers.
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Decomposition and Partitioning Methods for Multistage Stochastic Linear Programs

TL;DR: Dec decomposition and partitioning methods for solvingMultistage stochastic linear programs model problems in financial planning, dynamic traffic assignment, economic policy analysis, and many other applications.
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