A branch and bound method for stochastic global optimization
Mathematical Programming: Series A and B
Computational Optimization and Applications
Simulation-based approach to estimation of latent variable models
Computational Statistics & Data Analysis
Monte Carlo bounding techniques for determining solution quality in stochastic programs
Operations Research Letters
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This paper considers the problem of multisite integration and coordination strategies within a network of petroleum refineries under uncertainty and using robust optimization techniques. The framework of simultaneous analysis of process network integration, originally proposed by Al-Qahtani & Elkamel [1], is extended to account for uncertainty in model parameters. Robustness is analyzed based on both model robustness and solution robustness, where each measure is assigned a scaling factor to analyze the sensitivity of the refinery plan and integration network due to variations. Parameters uncertainty considered include coefficients of the objective function and right-hand-side parameters in the inequality constraints. The proposed method makes use of the Sample Average Approximation (SAA) method with statistical bounding techniques. The proposed approach was tested on an industrial scale study of a network of refineries.