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Performance‐based evaluation of an improved robust optimization formulation

TitlePerformance‐based evaluation of an improved robust optimization formulation
Publication TypeJournal Article
Year of Publication2014
AuthorsRay PA, Watkins DW, Vogel RM, Kirshen PH
JournalJournal of Water Resources Planning and Management
Volume140
Issue6
Date Published06/2014
ISSN0733-9496
KeywordsBenefit-cost analysis, Decision-making under uncertainty, Instruments and techniques, Modeling, regional planning, water management
Abstract

Much progress has been made in the standardization of uncertainty analysis techniques for simulation modeling but less progress has been made in optimization modeling. Among the various techniques used for optimization modeling under uncertainty, robust optimization (RO) uniquely allows for evaluation and control of the various risks of poor system performance resulting from input parameter uncertainties in water-resources problems. A model formulation was developed that addresses an inadequacy in a previous RO formulation. The importance of evaluating, through postprocessing, RO model results with respect to a range of performance metrics, has been demonstrated rather than a single metric, as has been common in previous studies. An analysis of the tradeoffs between solution robustness (nearness to optimality across all scenarios) and feasibility robustness (nearness to feasibility across all scenarios) illustrates the importance of including these terms in multiobjective water resources decision models.

DOI10.1061/(ASCE)WR.1943‐5452.0000389