Reference Point Specification in Inverted Generational Distance for Triangular Linear Pareto Front

Generational Cyclic Reference Counting

An Empirical Assessment of the Properties of Inverted Generational Distance on Multi- and Many-Objective Optimization

The inverted generational distance (IGD) is a metric for assessing the quality of approximations to the Pareto front obtained by multi-objective optimization algorithms. The IGD has become the most commonly used metric in the context of many-objective problems, i.e., those with more than three objectives. The averaged Hausdorff distance and IGD are variants of the IGD proposed in order to overc...

Computing the Complete Pareto Front

We give an efficient algorithm to enumerate all elements of a Pareto front in a multi-objective optimization problem in which the space of values is finite for all objectives. Our algorithm uses a feasibility check for a search space element as an oracle and minimizes the number of oracle calls that are necessary to identify the Pareto front of the problem. Given a k-dimensional search space in...

Combined Economic and Emission Dispatch with Valve-point loading of Thermal Generators using Modified NSGA-II

This paper discusses the application of evolutionary multi-objective optimization algorithms namely Non-dominated Sorting Genetic Algorithm-II (NSGA-II) and Modified NSGA-II (MNSGA-II) for solving the Combined Economic Emission Dispatch (CEED) problem with valvepoint loading. The valve-point loading introduce ripples in the input-output characteristics of generating units and make the CEED prob...

Pareto Front Analysis of Flight Time and Energy-Use In Long-Distance Bird Migration

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