International Journal of Mathematical Models and Methods in Applied Sciences

  
E-ISSN: 1998-0140
Volume 15, 2021

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of NAUN Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

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Volume 15, 2021

Title of the Paper:  Harmonic Mitigation In Grid-Tied TPSPPS Via Novel PRESH Controller

 

Authors: Uma Yadav, Anju Gupta, Rajesh Kr Ahuja

Pages: 233-238

DOI: 10.46300/9101.2021.15.30     XML

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Abstract: The proposed paper deals with a new type of controller credited with a name of “Novel PRESH” helpful in mitigating the harmonic of Grid Tied TPSPPS (Grid-Tied Three Phase Solar Photovoltaic Power System) even during abnormal grid condition. Novel PRESH controller is formed by combining the characteristic of PRES and RESH Controller and its harmonic mitigation analysis is done with the help of both Bode-Plot and MATLAB Simulink. Presently, for eliminating the harmonic from Grid -Tied TPSPPS, various filters and controllers have already been proposed but it either resulted in increase of computational load or make the system bulky. Earlier technique develops in eliminating the harmonic face difficulty in eliminating the harmonic when the reference waveform get distorted from its original position. The proposed “Novel PRESH” controller can also be incorporated when grid suffers from any abnormal condition. The presented paper will also discuss the performance analysis of controller along with its design procedure that are helpful in mitigating the THD of three phase SPPS near to 1% and thus satisfying the IEEE standard 519 and 1547.

Title of the Paper:  Numerical Investigation of Heat Transfer with Natural Convection in a Regularly Heated Elliptical Cylinder Submerged in a Square Fence Loaded With a Nanofluid

 

Authors: Djedid Taloub, Adelkarim Bouras, Zied Driss

Pages: 223-232

DOI: 10.46300/9101.2021.15.29     XML

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Abstract: During this first paper, numerical research from the natural convection of steady-state laminar heat transfer into a horizontal ring within a heated internal elliptical surface and a cold external square surface is presented. A Cu - water nanofluid, traverses this annular space. For different thermal Rayleigh numbers varying from 103 to 2.5x105 and different volume fractions from the nanoparticles. The arrangement from equations directing the problem was resolved numerically with the Fluent computational language founded on the finite volume approach. Based approaching the Boussinesq approach. The interior and exterior surfaces from the two cylinders are maintained at a fixed temperature. We investigated the impacts of various thermal Rayleigh numbers, the volume fraction from the nanoparticles, and the effect of the eccentricity of the internal cylinder on the natural convection. The results are shown within the figure of isocurrents, isotherms, and mean and local Nusselt numbers. The objective of this investigation is to examine the impact of different parameters on the heat transfer flow.

Title of the Paper:  Mathematical Model of the Transmission Dynamics of Novel Corona Virus (COVID-19) Pandamic Disease with Optimal Control

 

Authors: Getachew Beyecha Batu, Eshetu Dadi Gurmu

Pages: 195-214

DOI: 10.46300/9101.2021.15.27     XML

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Abstract: In this paper, we have developed a deterministic mathematical model that discribe the transmission dynamics of novel corona virus with prevention control. The disease free and endemic equilibrium point of the model were calculated and its stability analysis were prformed. The reproduction number R0 of the model which determine the persistence of the disease or not was calculated by using next generation matrix and also used to determine the stability of the disease free and endemic equilibrium points which exists conditionally. Furthermore, sensitivity analysis of the model was performed on the parameters in the equation of reproduction to determine their relative significance on the transmission dynamics of COVID- 19 pandemic disease. Finally the simulations were carried out using MATLAB R2015b with ode45 solver. The simulation results illustrated that applying prevention control can successfully reduces the transmission dynamic of COVID-19 infectious disease.

Title of the Paper:  Surfaces of Finite III-type

 

Authors: Hassan Al-Zoubi

Pages: 190-194

DOI: 10.46300/9101.2021.15.26     XML

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Abstract: In this paper, we consider surfaces of revolution in the 3-dimensional Euclidean space E3 with nonvanishing Gauss curvature. We introduce the finite Chen type surfaces with respect to the third fundamental form of the surface. We present a special case of this family of surfaces of revolution in E3, namely, surfaces of revolution with R is constant, where R denotes the sum of the radii of the principal curvature of a surface.

Title of the Paper:  The State-space Model of Micro-chaos

 

Authors: Gabor Csernak, Gabor Stepan

Pages: 184-189

DOI: 10.46300/9101.2021.15.25     XML

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Abstract: Micro-chaos is the phenomenon when the sampling, the delay and the round-off lead to small amplitude chaotic oscillations in a digitally controlled system. It has been proved mathematically during the last few years in a couple of simple cases that the evolving vibrations are indeed chaotic. In this study, we partially generalize these results to the case when an originally unstable state of a system is stabilized by digital feedback control. It is pointed out that this type of systems are sensitive to initial conditions and there exists a finite attracting domain in their phase-space. We also show that the oscillations, related to micro-chaos may have a considerable influence on the accuracy and settling time of the control system. The application of numerical techniques is unavoidable in the case of chaotic systems. Several possibilities are highlighted in the paper for the numerical determination of important characteristics of microchaotic oscillations.

Title of the Paper:  Time in Cyber-Physical Systems Specifications, Modeling and Measurements

 

Authors:  Miroslav Sveda

Pages: 177-183

DOI: 10.46300/9101.2021.15.24     XML

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Abstract: This paper addresses the role, interpretation and the deployment of the notion “time” in distributed cyber-physical systems. It discusses various possibilities how to approach such modeling and selects the fitting one, which enables to utilize the related specification language ASL in the domain applications.

Title of the Paper:  Unambiguous BPSK-like CSC Method for Galileo Acquisition

 

Authors:  Wei-Lung Mao, Chorng-Sii Hwang, Chung-Wen Hung, Jyh Sheen, Po-Hung Chen

Pages: 171-176

DOI: 10.46300/9101.2021.15.23     XML

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Abstract: Galileo will be Europe’s own Global Navigation Satellite System (GNSS), which is aiming to provide highly accurate and guaranteed positioning services. Galileo E1 system has a code period of 4ms which is quadruple that of GPS C/A code. In other words, due to the large number of hypotheses in code phase at acquisition stage, a longer searching time or more hardware resource is required. It is difficult to acquire Galileo signal because of longer code length and the multiple peaks of autocorrelation function of BOC modulation. In this paper, the cyclically shift-and-combine (CSC) and BPSK-like architectures are employed to resolve the unambiguous acquisition for BOC modulation and acquires these satellite signals with hardware complexity reduction. The concept of CSC code is to modify the code structure and shorten the code period such that the acquisition burden can be decreased. Simulation results show that our proposed search algorithm can provide better performances in terms of low hardware complexity for acquiring these satellite signals and detection probability at the low value of CNR.

Title of the Paper:  An Optimal Inventory Pricing and Ordering Strategy Subject to Stock and Price Dependent Demand

 

Authors:  A. Tsoularis, J. Wallace

Pages: 166-170

DOI: 10.46300/9101.2021.15.22     XML

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Abstract: This article considers the deterministic optimal control problem of profit maximization for inventory replenished at a variable rate and depleted by demand which is assumed to vary with price and stock availability. Optimal policies for the inventor, product order rate and price are derived using the maximum principle. Bounds on the maximum price possible are also derived.

Title of the Paper:  Graphical Method to Determine Sequence Variation on NA Protein of H5N1 Virus using Discrete Wavelet Transform

 

Authors:  Shiwani Saini, Lillie Dewan

Pages: 161-165

DOI: 10.46300/9101.2021.15.21     XML

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Abstract: Influenza A virus belongs to the Orthomyxoviridae family and its genome is divided in eight distinct linear segments of negative-sense single stranded ribonucleic acid (RNA). Of all the eight influenza protein sequences, mutations in hemagglutinin and neuraminidase proteins show significant variations in their sequences. The threat of Influenza pandemic is ever rising due to its constant antigenic drift. Thus there is a need to characterize the genomic information in these viruses and signal processing methods offer the advantage of faster analysis in comparison to conventional techniques. Genomic information is converted into digital form by representation of the nucleotide bases in the form of mathematical sequences. In this paper, sequence variations of H5N1 virus have been studied using wavelet transforms as a signal analysis technique. Nucleotide sequences of neuraminidase protein of influenza virus occurring in different regions, in different hosts and over different years have been downloaded from National Centre for Biotechnology Information (NCBI) database. Sequences are aligned and converted into mathematical sequences then transformed using wavelet transforms. Graphical representations of the transformed sequences have been used to localise the regions of mutations along the sequence length.

Title of the Paper: An Adaptive Lyapunovs Internal PID Regulator in Automotive Applications

 

Authors: Paolo Mercorelli, Nils Werner

Pages: 155-160

DOI: 10.46300/9101.2021.15.20     XML

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Abstract: This paper considers an aggregate actuator consisting of a piezo and a hydraulic part. Moreover a cascade PI-PID controllers is taken into account for its control in automotive applications. In the presented work the Preisach dynamic model is taken into consideration a long with a cascade PI-PID controllers. In particular, the hysteresis effect is considered and a model with a switching function is used also for the controller design. Simulations with real data are able to be seen in this contribution.

Title of the Paper: Performance Analysis of Gibbs Sampling for Bayesian Extracting Sinusoids

 

Authors:  Mehmet Cevri, Dursun Üstündag

Pages: 148-154

DOI: 10.46300/9101.2021.15.19     XML

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Abstract: This paper involves problems of estimating parameters of sinusoids from white noisy data by using Gibbs sampling (GS) in a Bayesian framework. Modifications of its algorithm is tested on data generated from synthetic signals and its performance is compared with conventional estimators such as Maximum Likelihood(ML) and Discrete Fourier Transform (DFT) under a variety of signal to noise ratio (SNR) and different length of data sampling (N), regarding to Cramér-Rao lower bound (CRLB). All simulation results show its effectiveness in frequency and amplitude estimation of sinusoids.

Title of the Paper:  Arabic Documents Classification by a Radial Basis Hybridization

 

Authors:  Taher Zaki, Driss Mammass, Abdellatif Ennaji, Stéphane Nicolas

Pages: 140-147

DOI: 10.46300/9101.2021.15.18     XML

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Abstract: In this paper, we propose a hybrid system for contextual and semantic indexing of Arabic documents, bringing an improvement to classical models based on n-grams and the Okapi model. This new approach takes into account the concept of the semantic vicinity of terms. We proceed in fact by the calculation of similarity between words using an hybridization of NGRAMs-OKAPI statistical measures and a kernel function in order to identify relevant descriptors. Terminological resources such as graphs and semantic dictionaries are integrated into the system to improve the indexing and the classification processes.

Title of the Paper: On Some Aspects of Process Management and Human Resource Management Interaction at the Customs Authorities

 

Authors: Mara Petersone, Karlis Ketners, Aivars Vilnis Krastins

Pages: 131-139

DOI: 10.46300/9101.2021.15.17     XML

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Abstract: Τhe name of article is “On some aspects of process management and human resource management interaction at the customs authorities”. Main stakeholders such as European Commission Directorate-General Taxation and Customs Union, World Customs Organization, universities and world customs administrations are looking for better training support mechanism, how to create contact points for university and customs internal training and to create qualitative business training programs in the customs area. In spite of different activities, for the time being concise and clear mechanism does not exist. Another problem lies in condition that training requirements do not underlie processes and job descriptions. Training organizers - customs authorities training centers and universities, developing own training programs follow the goals and objectives of staff development strategy, it becomes apparent that interaction of job descriptions and occupation standards is relatively little and do not supplement each other. The aim of research is to describe the mechanism of existing and potential human resource management and process management mutual interaction and mutual influence. To achieve the goal there has been set a task to study the specifics of job description formation at customs authorities, describe the significance of occupation descriptions to provide work at customs and their legislation, analyze the role of occupation standards to provide training needs. As a result of research proposals have been submitted about the improvement of process management, job description and occupation standard mutual interaction mechanism. Research is based on comparative analysis of literature and practical experience of custom authorities.

Title of the Paper: Software Development of Word Search Game on Smart Phones in English Vocabulary Learning

 

Authors: Anon Sukstrienwong, Patravadee Vongsumedh

Pages: 125-130

DOI: 10.46300/9101.2021.15.16     XML

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Abstract: At present, mobile devices are a medium of learning in school that is enjoyable with educational content. They are becoming as a part of daily life with new software games, which are considered as entertainment. As we all know, a word search game has been implemented on mobile devices for decades. It facilitates English vocabulary acquisition of students. The word search game on mobile devices allows education to be delivered in a more flexible way, anytime and anywhere at the students’ own place. To this paper, a survey is conducted to target Thai students at Bangkok University, Thailand. Therefore the word search game on smart phones embedded with the English dictionary, which helps Thai students to memorize the words is developed. Additionally, the process in developing the word search game on smart phones has been presented. It is expected that our research findings in English learning on mobile devices for Thai students will be further shared in the future.

Title of the Paper: A Calculation Method of Power System Static Stability Margin

 

Authors: Tao Yi

Pages: 118-124

DOI: 10.46300/9101.2021.15.15     XML

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Abstract: This paper establishes a hybrid power network equation with node voltage and branch current as state variables. The characteristic equation representing the stable boundary of the system is derived. Then the boundary conditions of static stability of the power system on the critical circle of voltage static stability are formed. Find the closest distance equation between the load point and the corresponding stable boundary through geometric analysis. The introduction of the distance equation avoids artificially setting the direction of load growth. The distance equation and boundary characteristic equation are added to the hybrid power network equations as additional equations for analyzing the minimum load boundary. The equations are solved by Newton's iterative algorithm. In order to avoid the Jacobian matrix singularity near the load boundary, the algorithm adopts the method of replacing the critical point in the Jacobian matrix to calculate. The simulation results show that the method is correct and effective.

Title of the Paper: An Efficient Computational Method for Singularly Perturbed Delay Parabolic Partial Differential Equations

 

Authors: Imiru Takele Daba, Gemechis File Duressa

Pages: 105-117

DOI: 10.46300/9101.2021.15.14     XML

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Abstract: In this communication, a parameter uniform numerical scheme is proposed to solve singularly perturbed delay parabolic convection-diffusion equations. Taylor’s series expansion is applied to approximate the shift term. Then the resulting singularly perturbed parabolic convection-diffusion equation is solved by utilizing the implicit Euler method for temporal discretization on uniform mesh and hybrid numerical scheme based on a midpoint upwind scheme in the coarse mesh regions and a cubic spline method in the fine mesh regions on a piecewise uniform Shishkin mesh for the spatial discretization. The proposed numerical scheme is shown to be an ε−uniformly convergent accuracy of first-order in time and almost second-order in space directions. Some test examples are considered to testify the theoretical predictions.

Title of the Paper: An Approximate Analytical Approach for Systems of Fredholm Integro-Differential Equations of Fractional Order

 

Authors: Mudaffer Alnobani, Omar Abu Al Yaqin

Pages: 91-104

DOI: 10.46300/9101.2021.15.13     XML

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Abstract: A new technique for solving a system of fractional Fredholm integro-differential equations (IDEs) is introduced in this manuscript. Furthermore, we present a review for the derivation of the residual power series method (RPSM) to solve fractional Fredholm IDEs in the paper done by Syam, as well as, corrections to the examples mentioned in that paper. The numerical results demonstrated the new technique’s applicability, efficacy, and high accuracy in dealing with these systems. On the other hand, a comparison has been done between the two schemes using the two corrected examples in addition to a problem that had been solved in many previous studies, and the results of these studies were compared with the new technique and RPSM. The comparison demonstrated clear superiority of our method over the RPSM for solving this class of equations. Moreover, they dispel the misconception that the RPSM works effectively on fractional Fredholm IDEs as mentioned in the paper done by Syam, whereas two problems solved by the RPSM produced an unaccepted error. Also, the comparison with the previous studies indicates the importance of the new method in dealing with the fractional Fredholm IDEs despite its simplicity, ease of use, and negligible computational time.

Title of the Paper: Stability Regions of Fractional First Order Controllers Applied to Fractional Order Delay Systems

 

Authors: Karim Saadaoui

Pages: 86-90

DOI: 10.46300/9101.2021.15.12     XML

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Abstract: This paper focuses on the problem of stabilizing fractional order time delay systems by fractional first order controllers. A solution is proposed to find the set of all stability regions in the controller’s parameter space. The D-decomposition method is employed to find the real root boundary and complex root boundaries which are used to identify the stability regions. Illustrative examples are given to show the effectiveness of the proposed approach, and it is remarked that the stability region obtained for the fractional order controller is larger than the non-fractional controller.

Title of the Paper: Artifact Removing from EEG Recordings using Independent Component Analysis with High-order Statistics

 

Authors: Theodor D. Popescu

Pages: 76-85

DOI: 10.46300/9101.2021.15.11     XML

Abstract: Many methods have been proposed to remove artifacts from EEG recordings especially those arising from eye movements and blinks. Often regression in time and frequency domain on parallel EEG and electrooculographic recordings is used, but this approach can become problematic in some cases. Use of Principal Component Analysis (PCA) has been proposed to remove eye artifacts from multichannel EEG. This method is not effective when the activations from cerebral activity and artifacts have comparable amplitudes. In this paper it is presented a generally applicable method for removing a wide variety of artifacts from EEG recordings based on Independent Component Analysis (ICA) with high-order statistics. The method is applied with good results in the analysis of a sample lowpass event-related potentials (ERP) data.

Title of the Paper: Development of Short-term Flood Forecast using ARIMA

 

Authors: Wei Ming Wong, Mohamad Yusry Lee, Amierul Syazrul Azman, Lew Ai Fen Rose

Pages: 68-75

DOI: 10.46300/9101.2021.15.10     XML

Abstract: The aim of this study is to use the Box-Jenkins method to build a flood forecast model by analysing real-time flood parameters for Pengkalan Rama, Melaka river, hereafter known as Sungai Melaka. The time series was tested for stationarity using the Augmented Dickey-Fuller (ADF) and differencing method to render a non-stationary time series stationary from 1 July 2020 at 12:00am to 30th July 2020. A utocorrelation (ACF) and partial autocorrelation (PACF) functions was measured and observed using visual observation to identify the suitable model for water level time series. The parameter Akaike Information Information Criterion (AIC) and the Bayesian Information Criterion (BIC) were used to find the best ARIMA model (BIC). ARIMA (2, 1, 3) was the best ARIMA model for the Pengkalan Rama, with an AIC of 5653.7004 and a BIC of 5695.209. The ARIMA (2, 1, 3) model was used to produce a lead forecast of up to 7 hours for the time series. The model's accuracy was tested by comparing the original and forecast sequences by using Pearson r and R squared. The ARIMA model appears to be adequate for Sungai Melaka, according to the findings of this study. Finally, the ARIMA model provides an appropriate short-term water level forecast with a lead forecast of up to 7 hours. As a result, the ARIMA model is undeniably ideal for river flooding.

Title of the Paper: Advanced Information Technologies under Manifold Coordinate Systems

 

Authors: Volodymyr Riznyk

Pages: 63-67

DOI: 10.46300/9101.2021.15.9     XML

Abstract: In this paper, we regard information technologies under manifold coordinate systems, namely the concept of Ideal Ring Bundles (IRBs), which can be used for configure of the system with the minimized basis for vector data coding and processing designs. The concept involves establishing harmonious mutual penetration of symmetry and asymmetry law as the remarkable property of real space, which allows optimize information technologies based on the law for finding optimal solutions for wide classes of technological problems in informatics, using novel designs based on combinatorial configurations such as the IRBs and their manifold topological transformations. These design techniques make it possible to configure big vector data information systems with fewer numbers of code words than at present, while maintaining or improving on transformation content and the other operating characteristics of the system by means of combinatorial optimization.

Title of the Paper: Elliptic and Edwards Curves Order Counting Method

 

Authors: Ruslan Skuratovskii, Volodymyr Osadchyy

Pages: 52-62

DOI: 10.46300/9101.2021.15.8     XML

Abstract: We consider the algebraic affine and projective curves of Edwards over the finite field Fpn. It is well known that many modern cryptosystems can be naturally transformed into elliptic curves. In this paper, we extend our previous research into those Edwards algebraic curves over a finite field. We propose a novel effective method of point counting for both Edwards and elliptic curves. In addition to finding a specific set of coefficients with corresponding field characteristics for which these curves are supersingular, we also find a general formula by which one can determine whether or not a curve Ed[Fp] is supersingular over this field. The method proposed has complexity O ( p log2 2 p ) . This is an improvement over both Schoof’s basic algorithm and the variant which makes use of fast arithmetic (suitable for only the Elkis or Atkin primes numbers) with complexities O(log8 2 pn) and O(log4 2 pn) respectively. The embedding degree of the supersingular curve of Edwards over Fpn in a finite field is additionally investigated. Due existing the birational isomorphism between twisted Edwards curve and elliptic curve in Weierstrass normal form the result about order of curve over finite field is extended on cubic in Weierstrass normal form.

Title of the Paper: Implementation of Modified Cubic UAT Tension B-spline DQM for Numerical Approximation of 1D and 2D Reaction-Diffusion System

 

Authors: Mamta Kapoor, Varun Joshi

Pages: 38-51

DOI: 10.46300/9101.2021.15.7     XML

Abstract: In present paper, a new approach, “modified cubic UAT tension B-spline DQM” has been developed to solve the 1D and 2D Reaction-Diffusion system numerically. The modified cubic UAT tension B-spline is used as basis function, to find the required weighting coefficients. The resulting system of ODE has been solved by SSP-RK43 scheme. The proposed scheme is checked by five test examples.

Title of the Paper: On Hydrogen Entanglements and Gravitation: A Lie Symmetry Approach

 

Authors: JM Manale

Pages: 31-37

DOI: 10.46300/9101.2021.15.6     XML

Abstract: We depart from the popular view on how gravitation is generated. Ours is entanglement based. For an atom, hydrogen in this case, all subatomic particles, within and outside the nuclei, participate in this eternal dance. To test the idea, we use it to determine a formula for G, the universal gravitational constant. In the process, we note that the one-dimensional Schrodinger equation is not solved, as claimed. For example, existing solutions are silent on the quantum superposition principle. This we address through our modified symmetry group theoretical methods.

Title of the Paper: Dynamical Characteristics in Time Series between PM10 and Wind Speed

 

Authors: Deok Du Kang, Dong In Lee, Jae-Won Jung, Kyungsk Kim

Pages: 26-30

DOI: 10.46300/9101.2021.15.5     XML

Abstract: We study the temporal variation characteristics of PM10 and wind velocity in eight South Korean cities. We employ the detrended cross-correlation analysis (DCCA) method to extract the overall tendency of the hourly variation. We ascertain from three-daily and one-weekly intervals that Busan has the negative largest, while Donghae has the positive largest in the DCCA cross-correlation coefficient between PM10 and wind velocity. As a result of Asian dust events, the cross-correlation is statistically significant for the hourly time series data less than two days. Particularly, we discuss whether a cross-correlation is statistically significant or not from random number surrogation and shuffled time series surrogation.

Title of the Paper: An Improved Immune Algorithms for Solving Flexible Manufacturing System Distributed Production Scheduling Problem Subjects to Machine Maintenance

 

Authors: Mohd Nor Akmal Khalid, Umi Kalsom Yusof

Pages: 18-25

DOI: 10.46300/9101.2021.15.4     XML

Abstract: Competitiveness and rapid expansion of flexible manufacturing system (FMS) as one of the industrial alternatives has attracted many practitioners’ and academicians’ interest. Recent globalization events have further encouraged FMS development into distributed, self-reliant units of production center. The flexible manufacturing system in distributed system (FMSDS) considers multi-factory environments, where jobs are processed by a system of FMSs. FMSDS problems deal with the allocation of jobs to factories, independent assignment of job operation to the machines, and operations sequencing on the machine. Additionally, in many previous studies, impact of maintenance as one of the core parts of production scheduling has been neglected. This significantly affects the overall performance of the production scheduling. As such, maintenance has been considered in this paper as part of the production scheduling. The objective of this paper is to minimize the global makespan over all the factories. This paper proposes an Improved Immune Algorithm (IIA) to solve the FMSDS problem. Antibody encoding adoption explicitly represents the information of factory, job, and maintenance, whilst a greedy decoding procedure exploits flexibility and determines the job routing. Rather than s traditional mutation operator, an improvised mutation operator is used to improve the solutions by refining the most promising individuals of each generation. The proposed approach has been compared with other algorithms and obtained satisfactory results, where the algorithm performance has been tested with several parameter tunings.

Title of the Paper: Strong Limit Theorems for Dependent Random Variables

 

Authors: Libin Wu, Bainian Li

Pages: 15-17

DOI: 10.46300/9101.2021.15.3     XML

Abstract: In this article We establish moment inequality of dependent random variables, furthermore some theorems of strong law of large numbers and complete convergence for sequences of dependent random variables. In particular, independent and identically distributed Marcinkiewicz Law of large numbers are generalized to the case of m₀ -dependent sequences.

Title of the Paper: Optimal Identifying Codes in Oriented Paths and Circuits

 

Authors: Ahmed Semri, Hillal Touati

Pages: 9-14

DOI: 10.46300/9101.2021.15.2     XML

Abstract: Identifying codes in graphs are related to the classical notion of dominating sets [1]. Since there first introduction in 1998 [2], they have been widely studied and extended to several application, such as: detection of faulty processor in multiprocessor systems, locating danger or threats in sensor networks. Let G=(V,E) an unoriented connected graph. The minimum identifying code in graphs is the smallest subset of vertices C, such that every vertex in V have a unique set of neighbors in C. In our work, we focus on finding minimum cardinality of an identifying code in oriented paths and circuits.

Title of the Paper: Multi-Objective Optimization for Industrial Ecology: Design and Optimize Exchange Flows in an Industrial Park

 

Authors: Chao Gu, Lionel Estel, Adnan Yassine, Sebastien Leveneur

Pages: 1-8

DOI: 10.46300/9101.2021.15.1     XML

Abstract: The aim of this project is to find an appropriate mode for green sustainable manufacturing and production. Thus, the concept of this model encourages the development of synergy and leverage of resource networks in order to reduce waste and pollution, and to share resource efficiently. To the best of our knowledge, there is currently no other general mathematical model for designing and optimizing exchange material/energy flows in an industrial park. The purpose of this work is to propose a relative advanced dynamic multi-objective model. Simulations have been performed by using the NIMBUS (Nondifferentiable Interactive Multi-objective Bundle-based optimization System) method. This model can assure a win-win situation for industries and environment.