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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)

  • Article
  • Open Access
2 Citations
2,809 Views
11 Pages

21 September 2021

Unravelling how the human brain structure gives rise to function is a central question in neuroscience and remains partially answered. Recent studies show that the graph Laplacian of the human brain’s structural connectivity (SC) plays a dominant rol...

  • Article
  • Open Access
5 Citations
2,875 Views
28 Pages

Geometric Invariants of Surjective Isometries between Unit Spheres

  • Almudena Campos-Jiménez and
  • Francisco Javier García-Pacheco

21 September 2021

In this paper we provide new geometric invariants of surjective isometries between unit spheres of Banach spaces. Let X,Y be Banach spaces and let T:SX→SY be a surjective isometry. The most relevant geometric invariants under surjective isometries su...

  • Article
  • Open Access
2 Citations
2,851 Views
15 Pages

21 September 2021

This study was conducted to investigate the applicability of measuring internet traffic as an input of short-term electricity demand forecasts. We believe our study makes a significant contribution to the literature, especially in short-term load pre...

  • Article
  • Open Access
3,360 Views
20 Pages

Markov Models for Economic Evaluation in Osteoporosis Treatment

  • Marta Osca-Guadalajara,
  • Javier Díaz-Carnicero,
  • Silvia González-de-Julián and
  • David Vivas-Consuelo

20 September 2021

Osteoporosis is frequent in elderly people, causing bone fractures and lowering their quality of life. The costs incurred by these fractures constitute a problem for public health. Markov chains were used to carry out an incremental cost-utility anal...

  • Article
  • Open Access
24 Citations
2,728 Views
13 Pages

20 September 2021

This paper examines the impact of hybrid nanoparticles on the stagnation point flow towards a curved surface. Silica (SiO2) and alumina (Al2O3) nanoparticles are added into water to form SiO2-Al2O3/water hybrid nanofluid. Both buoyancy-opposing and -...

  • Article
  • Open Access
5 Citations
3,580 Views
13 Pages

Application of Exploratory Factor Analysis in the Construction of a Self-Perception Model of Informational Competences in Higher Education

  • Belén Quintero Ordóñez,
  • Ignacio González López,
  • Eloísa Reche Urbano and
  • Juan Antonio Fuentes Esparrell

20 September 2021

The progress experienced by society resulting from the ready availability of information through the use of technology highlights the need to develop specific learning related to informational competences (IC) in educational settings where future pro...

  • Article
  • Open Access
5 Citations
2,965 Views
12 Pages

Numerical Modelling of Multicellular Spheroid Compression: Viscoelastic Fluid vs. Viscoelastic Solid

  • Ruslan Yanbarisov,
  • Yuri Efremov,
  • Nastasia Kosheleva,
  • Peter Timashev and
  • Yuri Vassilevski

20 September 2021

Parallel-plate compression of multicellular spheroids (MCSs) is a promising and popular technique to quantify the viscoelastic properties of living tissues. This work presents two different approaches to the simulation of the MCS compression based on...

  • Article
  • Open Access
6 Citations
2,883 Views
52 Pages

RHOASo: An Early Stop Hyper-Parameter Optimization Algorithm

  • Ángel Luis Muñoz Castañeda,
  • Noemí DeCastro-García and
  • David Escudero García

20 September 2021

This work proposes a new algorithm for optimizing hyper-parameters of a machine learning algorithm, RHOASo, based on conditional optimization of concave asymptotic functions. A comparative analysis of the algorithm is presented, giving particular emp...

  • Article
  • Open Access
10 Citations
3,659 Views
27 Pages

19 September 2021

In this paper, we propose robust optimisation models for the distribution network design problem (DNDP) to deal with uncertainty cases in a collaborative context. The studied network consists of collaborative suppliers who satisfy their customers’ ne...

  • Article
  • Open Access
13 Citations
3,180 Views
18 Pages

Simulated Annealing with Mutation Strategy for the Share-a-Ride Problem with Flexible Compartments

  • Vincent F. Yu,
  • Putu A. Y. Indrakarna,
  • Anak Agung Ngurah Perwira Redi and
  • Shih-Wei Lin

19 September 2021

The Share-a-Ride Problem with Flexible Compartments (SARPFC) is an extension of the Share-a-Ride Problem (SARP) where both passenger and freight transport are serviced by a single taxi network. The aim of SARPFC is to increase profit by introducing f...

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Mathematics - ISSN 2227-7390