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Mathematical and Computational Applications, Volume 23, Issue 2

2018 June - 15 articles

Cover Story: The benefits of considering multiple objectives simultaneously are increasingly appreciated by scientists from all disciplines, and multiobjective optimization is receiving increased attention in the control community as well. In comparison to classical optimization, additional challenges arise, such as real-time constraints or dynamical systems governed by expensive models (e.g., PDEs). This survey gives an overview of a variety of approaches to efficiently solving these challenging problems. View the paper here.
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Articles (15)

  • Article
  • Open Access
2 Citations
3,730 Views
14 Pages

We consider a general problem of optimal allocation of limited resources in a wireless telecommunication network. The network users are divided into several different groups (or classes), which correspond to different levels of service. The network m...

  • Feature Paper
  • Review
  • Open Access
75 Citations
12,600 Views
33 Pages

Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to compute the set...

  • Article
  • Open Access
7 Citations
4,167 Views
19 Pages

The Impact of the Implementation Cost of Replication in Data Grid Job Scheduling

  • Babar Nazir,
  • Faiza Ishaq,
  • Shahaboddin Shamshirband and
  • Anthony T. Chronopoulos

Data Grids deal with geographically-distributed large-scale data-intensive applications. Schemes scheduled for data grids attempt to not only improve data access time, but also aim to improve the ratio of data availability to a node, where the data r...

  • Feature Paper
  • Article
  • Open Access
5 Citations
5,012 Views
18 Pages

In this article, a Space-Time Finite Element Method (STFEM) is proposed for the resolution of mechanical problems involving three dimensions in space and one in time. Special attention will be paid to the non-separation of the space and time variable...

  • Article
  • Open Access
1 Citations
5,455 Views
14 Pages

A new formulation for a proposed solution to the 3D Navier-Stokes Equations in cylindrical co-ordinates coupled to the continuity and level set convection equation is presented in terms of an additive solution of the three principle directions in the...

  • Article
  • Open Access
13 Citations
11,630 Views
21 Pages

The motivation for this study is to introduce and motivate the use of nonstandard finite difference (NSFD) schemes, capable of solving one-compartment pharmacokinetic models. These models are modeled by both linear and nonlinear ordinary differential...

  • Article
  • Open Access
5 Citations
4,409 Views
13 Pages

Among the numerous alphabetical optimality criteria is the IV-criterion that is focused on prediction variance. We propose a new criterion, called the weighted IV-optimality. It is similar to IV-optimality, because the researcher must first specify a...

  • Feature Paper
  • Article
  • Open Access
7 Citations
6,037 Views
17 Pages

The two-dimensional differential equation y’ = f(x,y) can be interpreted as a direction field. Commercial Finite Element (FE) programs can be used for this integration task without additional programming, provided that these programs have options for...

  • Feature Paper
  • Article
  • Open Access
7 Citations
4,987 Views
14 Pages

A Simple Spectral Observer

  • Lizeth Torres,
  • Javier Jiménez-Cabas,
  • José Francisco Gómez-Aguilar and
  • Pablo Pérez-Alcazar

The principal aim of a spectral observer is twofold: the reconstruction of a signal of time via state estimation and the decomposition of such a signal into the frequencies that make it up. A spectral observer can be catalogued as an online algorithm...

  • Feature Paper
  • Article
  • Open Access
4 Citations
3,937 Views
15 Pages

We solve numerically a forest management optimization problem governed by a nonlinear partial differential equation (PDE), which is a size-structured population model. The formulated problem is supplemented with a natural constraint for a solution to...

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Math. Comput. Appl. - ISSN 2297-8747