We consider the problem of allocating an infinitely divisible commodity among a group of agents with single-peaked preferences. A rule that has played a central role in the analysis of the problem is the so-called uniform rule. Chun (2001) proves that the uniform rule is the only rule satisfying Pareto optimality, no-envy, separability, and Ω-continuity. We obtain an alternative characterizatio...

A methodology to minimize potential environmental impact and operating cost in the selection of the operating conditions of a steam and power plant is presented. A bi-objective mixed integer nonlinear programming problem is formulated and solved in GAMS. Different strategies are implemented successfully to generate the Pareto curve such as: minimum distance to the utopia point, ε-constraint, we...

Given a first set of observations from a design of experiments sampled randomly in the design space, the corresponding set of non-dominated points usually does not give a good approximation of the Pareto front. We propose here to study this problem from the point of view of multivariate analysis, introducing a probabilistic framework with the use of copulas. This approach enables the expression...

On Line Analytical Processing (OLAP) aims at gaining useful information quickly from large amounts of data residing in a data warehouse. To improve the quickness of response to queries, preaggregation is a useful strategy. However, it is usually impossible to pre-aggregate along all combinations of the dimensions. The multidimensional aspects of the data lead to combinatorial explosion in the n...

An analysis of Pareto fronts for programmable self-assembly.

In order to study the phenomenon in detail that income distribution follows Pareto law, we analyze the database of high income companies in Japan. We find a quantitative relation between the average capital of the companies and the Pareto index. The larger the average capital becomes, the smaller the Pareto index becomes. From this relation, we can possibly explain that the Pareto index of comp...

Goals: understand why hypervolume-based search is that successful understand basic properties of hypervolume indicator Approach: rigorous running time analyses of a hypervolume-based MOEA for (i) approaching the Pareto front (ii) approximating large Pareto fronts (unary) hypervolume indicator (A) = hypervolume/area of dominated part of search space between front A and reference point Pareto-dom...

In order to study phenomenon in detail that income distribution follows Pareto law, we analyze database of high income companies in Japan. We find a quantitative relation between average capital of the companies and the Pareto index, that the average capital becomes larger the Pareto index becomes smaller. From this relation, we point out a possibility we can explain that Pareto index of compan...

In order to study phenomenon in detail that income distribution follows Pareto law, we analyze database of high income companies in Japan. We find a quantitative relation between average capital of the companies and the Pareto index, that the average capital becomes larger the Pareto index becomes smaller. From this relation, we point out a possibility we can explain that Pareto index of compan...