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Mathematics, Volume 9, Issue 18

September-2 2021 - 170 articles

Cover Story: A two-stage non-standard optimal control problem with time-inconsistent preferences is studied. In an infinite horizon setting, a time-consistent decision maker chooses the time of switching between two consecutive regimes. The second regime corresponds to the implementation of a new technology, and a cost must be paid at the switching time. The problem is solved by transforming it into a finite horizon problem with free terminal time. The dynamic programming equations are presented, and conditions for the derivation of the switching time by decision makers with different degrees of sophistication are studied. A resource extraction model with technology adoption is solved in detail. Effects of the adoption of nonconstant and heterogeneous discount functions are illustrated numerically. View this paper
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Articles (170)

  • Review
  • Open Access
49 Citations
8,867 Views
52 Pages

Review of Metaheuristics Inspired from the Animal Kingdom

  • Elena Niculina Dragoi and
  • Vlad Dafinescu

21 September 2021

The search for powerful optimizers has led to the development of a multitude of metaheuristic algorithms inspired from all areas. This work focuses on the animal kingdom as a source of inspiration and performs an extensive, yet not exhaustive, review...

  • Article
  • Open Access
33 Citations
6,786 Views
26 Pages

21 September 2021

As failures in rotating machines can have serious implications, the timely detection and diagnosis of faults in these machines is imperative for their smooth and safe operation. Although deep learning offers the advantage of autonomously learning the...

  • Article
  • Open Access
43 Citations
4,842 Views
24 Pages

A Comprehensive Analysis of Demand Response Pricing Strategies in a Smart Grid Environment Using Particle Swarm Optimization and the Strawberry Optimization Algorithm

  • Emad M. Ahmed,
  • Rajarajeswari Rathinam,
  • Suchitra Dayalan,
  • George S. Fernandez,
  • Ziad M. Ali,
  • Shady H. E. Abdel Aleem and
  • Ahmed I. Omar

21 September 2021

In the modern world, the systems getting smarter leads to a rapid increase in the usage of electricity, thereby increasing the load on the grids. The utilities are forced to meet the demand and are under stress during the peak hours due to the shortf...

  • Article
  • Open Access
3 Citations
3,655 Views
11 Pages

Multi-Objective Pharmaceutical Portfolio Optimization under Uncertainty of Cost and Return

  • Mahboubeh Farid,
  • Hampus Hallman,
  • Mikael Palmblad and
  • Johannes Vänngård

21 September 2021

This paper presents the study of multi-objective optimization of a pharmaceutical portfolio when both cost and return values are uncertain. Decision makers in the pharmaceutical industry encounter several challenges in deciding the optimal selection...

  • Article
  • Open Access
20 Citations
2,850 Views
36 Pages

21 September 2021

In some multi-attribute decision-making (MADM) models studying attributes’ interactive phenomena is very important for the minimizing decision risks. Usually, the Choquet integral type aggregations are considered in such problems. However, the Choque...

  • Article
  • Open Access
2,190 Views
8 Pages

21 September 2021

The paper deals with a Volterra integral equation with delay. In order to apply the w-weak generalized contraction theorem for the study of existence and uniqueness of solutions, we rewrite the equation as a fixed point problem. The assumptions take...

  • Article
  • Open Access
5 Citations
3,263 Views
14 Pages

21 September 2021

The paper considers the features of numerical reconstruction of the advection coefficient when solving the coefficient inverse problem for a nonlinear singularly perturbed equation of the reaction-diffusion-advection type. Information on the position...

  • Article
  • Open Access
6 Citations
2,636 Views
14 Pages

21 September 2021

The commonly used Geographically Weighted Regression (GWR) fitting method for a spatial varying coefficient model is to select a bandwidth h for the geographic location (u, v), and assign the same weight to the two dimensions. However, spatial data u...

  • Article
  • Open Access
5 Citations
2,294 Views
14 Pages

21 September 2021

In this paper, the non-linear dynamical behavior of a 3D autonomous dissipative system of Hopf–Langford type is investigated. Through the help of a mode transformation (as the system’s energy is included) it is shown that the 3D nonlinear system can...

  • Article
  • Open Access
2,270 Views
9 Pages

Composition Vector Spaces as a New Type of Tri-Operational Algebras

  • Omid Reza Dehghan,
  • Morteza Norouzi and
  • Irina Cristea

21 September 2021

The aim of this paper is to define and study the composition vector spaces as a type of tri-operational algebras. In this regard, by presenting nontrivial examples, it is emphasized that they are a proper generalization of vector spaces and their str...

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Mathematics - ISSN 2227-7390