GNU-Octave System software was designed to obtain 3D/2D Graphical Optimization for Molecular Effect Model (MEM) in [ Tl- Sn-Pb-Ba-Si-Mn-Mg-Cu-O ] High Temperature Superconductors (HTSCs) class exclusively TC > 0° ]. The study results show two parts, namely, 3D and 2D/3D MEM optimization review. Series of 2D graphs with increasing ILS polynomial degree are developed demonstrate the equaling t...

Probabilistic graphical models provide a framework for compact representation and efficient reasoning about the joint probability distribution of several interdependent variables. This is a classical topic with roots in statistical physics. In recent years, spurred by several applications in unstructured data integration, sensor networks, image processing, bio-informatics, and code design, the ...

Many optimization problems can be naturally represented as (hyper) graphs, where vertices correspond to variables and edges to tasks, whose cost depends on the values of the adjacent variables. Capitalizing on the structure of the graph, suitable dynamic programming strategies can select certain orders of evaluation of the variables which guarantee to reach both an optimal solution and a minima...

We consider a constrained minimax single-facility location problem with addends on the plane with rectilinear distance. The problem is first formulated in a standard form, and then represented in terms of tropical mathematics as a constrained optimization problem. We apply methods and results of tropical optimization to obtain direct, explicit solutions to the optimization problem. The results ...

Many researchers had worked on three dimensional (3D) optimization which presented results using numbers and graphs. This paper proposes a standard way to represent the solution naturally, in 3D graphical layout display based on OpenGL. Since container loading problem (CLP) is a common reference for 3D space optimization algorithms, we present a method to represent the 3D layout solution for CL...

The paper presents a general purpose software system for optimization and decision support, called Optima-Plus. It consists of two independent parts LIOP-1 system and MKO-2.1 system. Optima-Plus system is designed to support the decision maker (DM) in modeling and solving different problems of linear and linear integer single-criterion and multicriteria optimization. The system implements three...

Paknejad et al.’s model is considered in this paper. Itemwise multiobjective models for both exponential and uniform lead-time demand are taken and the results are compared numerically both in fuzzy optimization and intuitionistic fuzzy optimization techniques. Objective of this paper is to establish that intuitionistic fuzzy optimizaion method is better than usual fuzzy optimization technique ...

Submodular functions are relevant to machine learning for at least two reasons: (1) some problems may be expressed directly as the optimization of submodular functions and (2) the Lovász extension of submodular functions provides a useful set of regularization functions for supervised and unsupervised learning. In this monograph, we present the theory of submodular functions from a convex analy...