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Mathematical and Computational Applications, Volume 23, Issue 3

2018 September - 20 articles

Cover Story: The (p,q)-averaged Hausdorff distance Δp,q is a new indicator proposed for the performance assessment of Evolutionary Multi-objective (EMO) algorithms; it carries some desired metric properties, and its definition allows for the consideration of continuous approximations to Pareto sets. The figure illustrates a table of Δp,q-metric balls around a discretized short segment with a negative slope for different values of p and q. View this paper.
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Articles (20)

  • Feature Paper
  • Article
  • Open Access
21 Citations
5,680 Views
24 Pages

A (p,q)-Averaged Hausdorff Distance for Arbitrary Measurable Sets

  • Johan M. Bogoya,
  • Andrés Vargas,
  • Oliver Cuate and
  • Oliver Schütze

18 September 2018

The Hausdorff distance is a widely used tool to measure the distance between different sets. For the approximation of certain objects via stochastic search algorithms this distance is, however, of limited use as it punishes single outliers. As a reme...

  • Communication
  • Open Access
1 Citations
3,848 Views
7 Pages

Left Ventricular Volume in Bovines: The Correlation between Teichholz’s Medical Mathematical Method and the Volume of the Truncated Prolate Spheroid

  • José Sérgio Domingues,
  • Ravel Alvarenga Coelho,
  • Francielly Dos Santos Bento,
  • Brenda Cristina Almeida and
  • Ayanne Oliveira De Castro

11 September 2018

The main objective of this article is to determine the existing linear correlation between the real left ventricular volume (RV) from the heart of bovines and the volumes obtained by Teichholz’s mathematical model and the volume of the truncate...

  • Feature Paper
  • Article
  • Open Access
3,337 Views
17 Pages

First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World

  • Isabelle Santos,
  • Stéphane Puechmorel and
  • Guillaume Dufour

10 September 2018

Planning conflict-free trajectories is a long-standing problem in Air Traffic Management. Navigation functions designed specifically to produce flyable trajectories have been previously considered, but lack the robustness to uncertain weather conditi...

  • Article
  • Open Access
2 Citations
3,034 Views
21 Pages

TL-Moments for Type-I Censored Data with an Application to the Weibull Distribution

  • Hager A. Ibrahim,
  • Mahmoud Riad Mahmoud,
  • Fatma A. Khalil and
  • Ghada A. El-Kelany

This paper aims to provide an adaptation of the trimmed L (TL)-moments method to censored data. The present study concentrates on Type-I censored data. The idea of using TL-moments with censored data may seem conflicting. However, our perspective is...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,186 Views
13 Pages

An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities

  • Juan Carlos Ku-Cauich,
  • Guillermo Morales-Luna and
  • Horacio Tapia-Recillas

Two new systematic authentication codes based on the Gray map over a Galois ring are introduced. The first introduced code attains optimal impersonation and substitution probabilities. The second code improves space sizes, but it does not attain opti...

  • Feature Paper
  • Article
  • Open Access
4 Citations
3,344 Views
30 Pages

Optimal Strategies for Psoriasis Treatment

  • Ellina Grigorieva and
  • Evgenii Khailov

Within a given time interval we consider a nonlinear system of differential equations describing psoriasis treatment. Its phase variables define the concentrations of T-lymphocytes, keratinocytes and dendritic cells. Two scalar bounded controls are i...

  • Article
  • Open Access
8 Citations
3,834 Views
14 Pages

A new complex variable method is presented for stress and displacement problems in a non-circular deep tunnel with certain given boundary conditions at infinity. In order to overcome the complex problems caused by non-circular geometric configuration...

  • Article
  • Open Access
54 Citations
6,165 Views
28 Pages

Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making

  • Muhammad Akram,
  • Amna Habib,
  • Farwa Ilyas and
  • Jawaria Mohsan Dar

The purpose of this research study is to present some new operations, including rejection, symmetric difference, residue product, and maximal product of Pythagorean fuzzy graphs (PFGs), and to explore some of their properties. This research article i...

  • Article
  • Open Access
6 Citations
2,918 Views
10 Pages

Hulls of linear codes have been extensively studied due to their wide applications and links with the efficiency of some algorithms in coding theory. In this paper, the average dimension of the Euclidean hull of negacyclic codes of length n over fini...

  • Article
  • Open Access
10 Citations
5,680 Views
19 Pages

An Improved Differential Evolution Algorithm for Crop Planning in the Northeastern Region of Thailand

  • Udompong Ketsripongsa,
  • Rapeepan Pitakaso,
  • Kanchana Sethanan and
  • Tassin Srivarapongse

This research aimed to solve the economic crop planning problem, considering transportation logistics to maximize the profit from cultivated activities. Income is derived from the selling price and production rate of the plants; costs are due to oper...

  • Article
  • Open Access
3 Citations
5,760 Views
21 Pages

We present a systematic spreadsheet method for modeling and optimizing general partial differential algebraic equations (PDAE). The method exploits a pure spreadsheet PDAE solver function design that encapsulates the Method of Lines and permits seaml...

  • Article
  • Open Access
5 Citations
5,021 Views
29 Pages

Cost-Effective Analysis of Control Strategies to Reduce the Prevalence of Cutaneous Leishmaniasis, Based on a Mathematical Model

  • Dibyendu Biswas,
  • Suman Dolai,
  • Jahangir Chowdhury,
  • Priti K. Roy and
  • Ellina V. Grigorieva

Leishmaniasis is a neglected tropical vector-borne epidemic disease, and its transmission is a complex process. Zoonotic transmission to humans or animals occurs through the bites of female Phlebotominae sand flies. Here, reservoir is considered as a...

  • Article
  • Open Access
7 Citations
4,326 Views
8 Pages

In this paper, we study the existence of solutions for a new class of boundary value problems of non-linear fractional integro-differential equations. The existence result is obtained with the aid of Schauder type fixed point theorem while the unique...

  • Article
  • Open Access
3 Citations
8,021 Views
19 Pages

We propose numerical algorithms which can be integrated with modern computer algebra systems in a way that is easily implemented to approximate the sine and cosine functions with an arbitrary accuracy. Our approach is based on Taylor’s expansio...

  • Article
  • Open Access
5 Citations
4,732 Views
14 Pages

There has been considerable interest in seeking exact solutions of non-linear evolution equations that describe important physical and biological processes. Nonetheless, it is a difficult undertaking to determine closed form solutions of mathematical...

  • Article
  • Open Access
17 Citations
5,481 Views
16 Pages

This research article aims to solve the special case of the location routing problem (SLRP) when the objective function is the fuel consumption. The fuel consumption depends on the distance of travel and the condition of the road. The condition of th...

  • Article
  • Open Access
13 Citations
3,172 Views
13 Pages

In this manuscript, a stronger concept of exact controllability called Total Controllability has been introduced. Sufficient conditions have been established for the total controllability of the proposed problem. The proposed control problem is a sec...

  • Article
  • Open Access
15 Citations
4,991 Views
12 Pages

Qualitative Analysis of a Dengue Fever Model

  • Babatunde Gbadamosi,
  • Mayowa Micheal Ojo,
  • Segun Isaac Oke and
  • Maba Boniface Matadi

In this paper, a deterministic mathematical model of the Dengue virus with a nonlinear incidence function in a population is presented and rigorously analysed. The model incorporates control measures at the aquatic and adult stages of the vector (mos...

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Math. Comput. Appl. - ISSN 2297-8747