Interactive Decision Support System for Finding Robust Optimal Solutions with Uncertainties in Manufacturing Circumstances

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This study addressed decision making problems under operational uncertainties in manufacturing circumstances. Uncertainties were expressed as a set of scenarios with occurrence probabilities. Concepts of a"robust optimal solution"in single-objective cases and a"robust set of nondominated solutions"in multiobjective cases were introduced on the basis of"stochastic ordering."Robust optimization methods with either discrete variables or continuous variables were developed in static and dynamic cases, where one of scenarios was fixed at the beginning of a planning horizon in the static case and the scenario would change from the reference scenario to one of supposed scenarios once at any time over the planning horizon in the dynamic case. An interactive decision support system with sensitivity analysis was also developed for helping a decision maker to find robust optimal solutions.