Pub Date : 2023-01-23DOI: 10.19139/soic-2310-5070-1537
Abdelilah Et-taleby, Y. Chaibi, Mohamed Benslimane, M. Boussetta
Over the years, the boom of technology has caused the accumulation of a large amount of data, famously known as big data, in every field of life. Traditional methods have failed to analyse such a huge pile of data due to outdated techniques. In recent times, the use of photovoltaic systems has risen worldwide. The arena Photovoltaic (PV) system has witnessed the same unprecedented expansion of data owing to the associated monitoring systems. However, the faults created within the PV system cannot be detected, classified, or predicted by using conventional techniques. This necessitates the use of modern techniques such as Machine Learning. Its powerful algorithms, such as artificial neural networks (ANN), help in the accurate detection and classification of faults in the PV system. This review paper introduces and evaluates the applications of Machine Learning (ML) algorithms in PV fault detection. It provides a brief overview of Machine Learning and its concepts along with various widely used ML algorithms. This review various peer-reviewed studies to investigate various models of ML algorithms in the PV system with the main focus on its fault detection accuracy and efficiency.
{"title":"Applications of Machine Learning Algorithms for Photovoltaic Fault Detection: a Review","authors":"Abdelilah Et-taleby, Y. Chaibi, Mohamed Benslimane, M. Boussetta","doi":"10.19139/soic-2310-5070-1537","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1537","url":null,"abstract":"Over the years, the boom of technology has caused the accumulation of a large amount of data, famously known as big data, in every field of life. Traditional methods have failed to analyse such a huge pile of data due to outdated techniques. In recent times, the use of photovoltaic systems has risen worldwide. The arena Photovoltaic (PV) system has witnessed the same unprecedented expansion of data owing to the associated monitoring systems. However, the faults created within the PV system cannot be detected, classified, or predicted by using conventional techniques. This necessitates the use of modern techniques such as Machine Learning. Its powerful algorithms, such as artificial neural networks (ANN), help in the accurate detection and classification of faults in the PV system. This review paper introduces and evaluates the applications of Machine Learning (ML) algorithms in PV fault detection. It provides a brief overview of Machine Learning and its concepts along with various widely used ML algorithms. This review various peer-reviewed studies to investigate various models of ML algorithms in the PV system with the main focus on its fault detection accuracy and efficiency.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116875701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-18DOI: 10.19139/soic-2310-5070-1527
J. Fathali
The median problem is a basic model in location theory and transportation sciences. This problem deals with locating a facility on a network, to minimize the sum of weighted distances between the facility and the vertices of the network. In this paper, the cases that weights of vertices, edge lengths or both of them are grey numbers, are considered. For all these cases, we show that the set of vertices of network contains a solution of the median problem. This property is called vertex optimality. Median problem with grey parameters and its properties are first considered in this paper.
{"title":"Grey Median Problem and Vertex Optimality","authors":"J. Fathali","doi":"10.19139/soic-2310-5070-1527","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1527","url":null,"abstract":"The median problem is a basic model in location theory and transportation sciences. This problem deals with locating a facility on a network, to minimize the sum of weighted distances between the facility and the vertices of the network. In this paper, the cases that weights of vertices, edge lengths or both of them are grey numbers, are considered. For all these cases, we show that the set of vertices of network contains a solution of the median problem. This property is called vertex optimality. Median problem with grey parameters and its properties are first considered in this paper.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"84 Pt 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129032764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-18DOI: 10.19139/soic-2310-5070-591
Bushra Husain, Afrah Hafeez
Mixture experiments are usually designed to study the effects on the response by changing the relative proportions of the mixture ingredients. This is usually achieved by keeping the total amount fixed but in many practical applications such as medicine or biology, not only are the proportions of mixture ingredients involved but also their total amount is of particular interest. Such experiments are called mixture amount experiments. In such experiments, the usual constraint on the mixture proportions that they should sum to unity is relaxed. The optimality of the design strictly depends on the nature of the underlying model. In this paper, we have obtained D- and A- optimal orthogonally blocked mixture component-amount designs in two and three ingredients via projections based on the reduced cubic canonical model presented by Husain and Sharma [7] and the additive quadratic mixture model proposed by Husain and Parveen [3], respectively.
{"title":"D- And A- Optimal Orthogonally Blocked Mixture Component-Amount Designs via Projections","authors":"Bushra Husain, Afrah Hafeez","doi":"10.19139/soic-2310-5070-591","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-591","url":null,"abstract":"Mixture experiments are usually designed to study the effects on the response by changing the relative proportions of the mixture ingredients. This is usually achieved by keeping the total amount fixed but in many practical applications such as medicine or biology, not only are the proportions of mixture ingredients involved but also their total amount is of particular interest. Such experiments are called mixture amount experiments. In such experiments, the usual constraint on the mixture proportions that they should sum to unity is relaxed. The optimality of the design strictly depends on the nature of the underlying model. In this paper, we have obtained D- and A- optimal orthogonally blocked mixture component-amount designs in two and three ingredients via projections based on the reduced cubic canonical model presented by Husain and Sharma [7] and the additive quadratic mixture model proposed by Husain and Parveen [3], respectively.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129815748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-14DOI: 10.19139/soic-2310-5070-881
B. Joshi
In this paper, we consider semi-infinite mathematical programming problems withequilibrium constraints (SIMPEC). By using the notion of convexificators, we establish sufficient optimality conditions for the SIMPEC. We formulate Wolfe and Mond-Weir type dual models for the SIMPEC under generalized convexity assumptions. Moreover, weak and strong duality theorems are established to relate the SIMPEC and two dual programs in the framework of convexificators.
{"title":"Semi-infinite Mathematical Programming Problems involving Generalized Convexity","authors":"B. Joshi","doi":"10.19139/soic-2310-5070-881","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-881","url":null,"abstract":"In this paper, we consider semi-infinite mathematical programming problems withequilibrium constraints (SIMPEC). By using the notion of convexificators, we establish sufficient optimality conditions for the SIMPEC. We formulate Wolfe and Mond-Weir type dual models for the SIMPEC under generalized convexity assumptions. Moreover, weak and strong duality theorems are established to relate the SIMPEC and two dual programs in the framework of convexificators.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134222158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-14DOI: 10.19139/soic-2310-5070-1286
O. Kharazmi, F. J. Paghale, A. S. Nik, S. Dey, M. Alizadeh
In this article, we first define a new two-sided distribution called the two-sided Kumaraswamy distribution and then we propose a generalized class of lifetime distributions via compounding two-sided Kumaraswamy and a baseline distribution. One of the advantages of this class of new distributions is that they can be unimodal or bimodal. The general model is specified by taking the exponential distribution as the baseline distribution. Some basic properties of the proposed distribution are derived. The model parameters are estimated by means of maximum likelihood method. In addition, parametric and non-parametric bootstrap procedures are used to obtain point estimates and confidence intervals of the parameters of the model. A simulation study has been conducted to examine the bias and the mean square error of the maximum likelihood estimators. We illustrate the performance of the proposed distribution by means of two real data sets (one is complete data set and other is right censored data set) and both the data sets show that the new distribution is more appropriate as compared to Weibull, gamma, weighted exponential, generalized two-sided exponential, generalized transmuted two-sided exponential and generalized exponential distributions.
{"title":"A New Two-Sided Class of Lifetime Distributions: Applications to Complete and Right Censored Data","authors":"O. Kharazmi, F. J. Paghale, A. S. Nik, S. Dey, M. Alizadeh","doi":"10.19139/soic-2310-5070-1286","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1286","url":null,"abstract":"In this article, we first define a new two-sided distribution called the two-sided Kumaraswamy distribution and then we propose a generalized class of lifetime distributions via compounding two-sided Kumaraswamy and a baseline distribution. One of the advantages of this class of new distributions is that they can be unimodal or bimodal. The general model is specified by taking the exponential distribution as the baseline distribution. Some basic properties of the proposed distribution are derived. The model parameters are estimated by means of maximum likelihood method. In addition, parametric and non-parametric bootstrap procedures are used to obtain point estimates and confidence intervals of the parameters of the model. A simulation study has been conducted to examine the bias and the mean square error of the maximum likelihood estimators. We illustrate the performance of the proposed distribution by means of two real data sets (one is complete data set and other is right censored data set) and both the data sets show that the new distribution is more appropriate as compared to Weibull, gamma, weighted exponential, generalized two-sided exponential, generalized transmuted two-sided exponential and generalized exponential distributions.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116774067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-09DOI: 10.19139/soic-2310-5070-1706
M. Nachaoui, A. Nachaoui, R. Shikhlinskaya, Abdelali Elmoufidi
This paper deals with fuzzy logic controllers. Our interest is in studying different techniques of defuzzification methods. In particular, we propose a generalization of the WABL method to the multiple output system controller. We give a numerical realization, and we show the advantages of this method compared to other defuzzification methods (MOM, COG, WAF,ldots) through an application for intelligent control of air conditioners.
{"title":"An improved hybrid defuzzification method for fuzzy controllers","authors":"M. Nachaoui, A. Nachaoui, R. Shikhlinskaya, Abdelali Elmoufidi","doi":"10.19139/soic-2310-5070-1706","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1706","url":null,"abstract":"This paper deals with fuzzy logic controllers. Our interest is in studying different techniques of defuzzification methods. In particular, we propose a generalization of the WABL method to the multiple output system controller. We give a numerical realization, and we show the advantages of this method compared to other defuzzification methods (MOM, COG, WAF,ldots) through an application for intelligent control of air conditioners.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115143635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-09DOI: 10.19139/soic-2310-5070-1702
Karzan A. Berdawood, A. Nachaoui, M. Nachaoui
This paper deals with an inverse problem governed by the Helmholtz equation. It consists in recovering lackingdata on a part of the boundary based on the Cauchy data on the other part. We propose an optimal choice of the relaxationparameter calculated dynamically at each iteration. This choice of relaxation parameter ensures convergence without priordetermination of the interval of the relaxation factor required in our previous work. The numerous numerical example showsthat the number of iterations is drastically reduced and thus, our new relaxed algorithm guarantees the convergence for allwavenumber k and gives an automatic acceleration without any intervention of the user.
{"title":"An accelerated alternating iterative algorithm for data completion problems connected with Helmholtz equation","authors":"Karzan A. Berdawood, A. Nachaoui, M. Nachaoui","doi":"10.19139/soic-2310-5070-1702","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1702","url":null,"abstract":"This paper deals with an inverse problem governed by the Helmholtz equation. It consists in recovering lackingdata on a part of the boundary based on the Cauchy data on the other part. We propose an optimal choice of the relaxationparameter calculated dynamically at each iteration. This choice of relaxation parameter ensures convergence without priordetermination of the interval of the relaxation factor required in our previous work. The numerous numerical example showsthat the number of iterations is drastically reduced and thus, our new relaxed algorithm guarantees the convergence for allwavenumber k and gives an automatic acceleration without any intervention of the user.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133697478","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-09DOI: 10.19139/soic-2310-5070-1741
A. Laghrib, L. Afraites, M. Nachaoui, A. Ghazdali
The evolution of mathematics gave rise to several new fields, among them we can find Data Science and someapplications to mathematics and computer science. Recently, Data science is considered as a dynamic and attractive research area with numerous usability in other scientific fields, such as: Machine Learning, Data Mining and computer science, especially in Image Processing. For that and to closely follow the evolution of Data Science using recent mathematical tools, we propose this special issue which contains a number of papers on various mathematical tools, optimization and their applications. This special issue contains carefully selected articles from the first edition of the conference ``International Conference on New Trends of Applied Mathematics (ICNTAM)”, which is held at B'{e}ni Mellal, Morocco from 19 to 21 May 2022.
{"title":"Special Issue: Recent Developments of Optimization and Computational Mathematics","authors":"A. Laghrib, L. Afraites, M. Nachaoui, A. Ghazdali","doi":"10.19139/soic-2310-5070-1741","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1741","url":null,"abstract":"The evolution of mathematics gave rise to several new fields, among them we can find Data Science and someapplications to mathematics and computer science. Recently, Data science is considered as a dynamic and attractive research area with numerous usability in other scientific fields, such as: Machine Learning, Data Mining and computer science, especially in Image Processing. For that and to closely follow the evolution of Data Science using recent mathematical tools, we propose this special issue which contains a number of papers on various mathematical tools, optimization and their applications. This special issue contains carefully selected articles from the first edition of the conference ``International Conference on New Trends of Applied Mathematics (ICNTAM)”, which is held at B'{e}ni Mellal, Morocco from 19 to 21 May 2022.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"12 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122378935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-09DOI: 10.19139/soic-2310-5070-1701
Anass Lamaizi, A. Zerouali, O. Chakrone, B. Karim
In this paper, we study weak solutions for a class of parabolic problems with dynamical boundary condition.We establish the existence of a weak solution to the corresponding Dynamical problem. Moreover, we will show that the existence time T of solution is finite when the initial energy satisfies certain condition.
{"title":"Existence and blow up of solutions for a class of parabolic problems with dynamical boundary condition","authors":"Anass Lamaizi, A. Zerouali, O. Chakrone, B. Karim","doi":"10.19139/soic-2310-5070-1701","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1701","url":null,"abstract":"In this paper, we study weak solutions for a class of parabolic problems with dynamical boundary condition.We establish the existence of a weak solution to the corresponding Dynamical problem. Moreover, we will show that the existence time T of solution is finite when the initial energy satisfies certain condition.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132317172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-09DOI: 10.19139/soic-2310-5070-1725
W. Bentoto, M. Zaydan, H. Amini Alaoui, E. Essaghir, R. Sehaqui
Analytical study of mixed convection of an oscillating laminar flow of nanofluid (Gold-Kerosene Oil) throughthe vertical channel in the presence of a magnetic field has been investigated in this article. Assuming that the nanofluid electrically driven due to the magnetic field applied to the transverse direction of the flow and the sides of the channel are subject to thermal radiative flux and high temperature, a system of equations expressing momentum, energy, and concentration has been considered under these assumptions. Using the non-dimension variables technique, the system is transformed into differential equations, which are solved analytically by the perturbation method. The velocity and temperature profiles are plotted. Furthermore. The obtained results indicate that the nanofluids have a clear influence on the velocity and temperature behavior. Moreover, the presence of thermal radiation improves the heat transfer rate.
{"title":"Mixed convection of a MHD oscillatory laminar flow of a nanofluid (Gold-Kerosene oil) in a vertical channel","authors":"W. Bentoto, M. Zaydan, H. Amini Alaoui, E. Essaghir, R. Sehaqui","doi":"10.19139/soic-2310-5070-1725","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1725","url":null,"abstract":"Analytical study of mixed convection of an oscillating laminar flow of nanofluid (Gold-Kerosene Oil) throughthe vertical channel in the presence of a magnetic field has been investigated in this article. Assuming that the nanofluid electrically driven due to the magnetic field applied to the transverse direction of the flow and the sides of the channel are subject to thermal radiative flux and high temperature, a system of equations expressing momentum, energy, and concentration has been considered under these assumptions. Using the non-dimension variables technique, the system is transformed into differential equations, which are solved analytically by the perturbation method. The velocity and temperature profiles are plotted. Furthermore. The obtained results indicate that the nanofluids have a clear influence on the velocity and temperature behavior. Moreover, the presence of thermal radiation improves the heat transfer rate.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130137222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}