Abstract
In this chapter we highlight the relationships between multiobjective optimization and parametric optimization that is used to solve such problems. Solution of a multiobjective problem is the set of Pareto efficient points, known in the literature as Pareto efficient frontier or Pareto front. Pareto points can be obtained by using either weighting the objectives or by e-constrained (hierarchical) method for solving multiobjective optimization models. Using those methods we can formulate them as parametric optimization problems and compute their efficient solution set numerically. We present a methodology for conic quadratic optimization that allows tracing the Pareto efficient frontier without discretization of the objective space and without solving the corresponding optimization problem at each discretization point.
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