Sensitivity analysis of mixed integer programs: An application to environmental policy making

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“…Parametric programming and sensitivity analysis provide an important tool for analysing the effect of variations in a mathematical programming problem. These variations are inherent to any mathematical model and can be attributed to uncertainty in the parameters in the model, e.g., variations in demand and supply for a planning or a scheduling problem, see for example [1,9,13,16,18,22,23,45,51,53,57] for some applications. Another important area of application is in multi-objective optimization, where multi-criterion problems can be reformulated as parametric programming problems and different (usually conflicting) optimal solutions, i.e., Pareto sets, can be obtained as parametric solutions, see for example [8,[10][11][12]17,[25][26][27]30,31,35,37,38,[47][48][49][50]52].…”