A Schur analysis approach to minimum distance problems

Minimum Distance Violation Tree Problems

A proportional approach to claims problems with a guaranteed minimum

In distribution problems, and specifically in bankruptcy issues, the Proportional (P ) and the Egalitarian (EA) divisions are two of the most popular ways to resolve the conflict. Nonetheless, when using the egalitarian division, agents may receive more than her claim. We propose a compromise between the proportional and the egalitarian solutions by considering the restriction that no one recei...

The Minimum Evolution Distance-based Approach to Phylogenetic Inference

Distance algorithms remain among the most popular for reconstructing phylogenies, especially for researchers faced with data sets with large numbers of taxa. Distance algorithms are much faster in practice than character or likelihood algorithms, and least-squares algorithms produce trees that have several desirable statistical properties. The fast Neighbor Joining heuristic has proven to be qu...

A New Approach to Solve Multiple Objective Programming Problems

Multiple Objective Programming (MOP) problems have become famous among many researchers due to more practical and realistic implementations. There have been a lot of methods proposed especially during the past four decades. In this paper, we develop a new algorithm based on a new approach to solve MOP problems by starting from a utopian point (which is usually infeasible) and moving towards the...

A New Approach to Nonstandard Analysis

In this paper, we propose a new approach to nonstandard analysis without using the ultrafilters. This method is very simple in practice. Moreover, we construct explicitly the total order relation in the new field of the infinitesimal numbers. To illustrate the importance of this work, we suggest comparing  a few applications of this approach with the former methods.