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Studies in Systems, Decision and Control 319 Samsul Ariffin Abdul Karim   Editor Theoretical, Modelling and Numerical Simulations Toward Industry 4.0 Studies in Systems, Decision and Control Volume 319 Series Editor Janusz Kacprzyk, Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland The series “Studies in Systems, Decision and Control” (SSDC) covers both new developments and advances, as well as the state of the art, in the various areas of broadly perceived systems, decision making and control–quickly, up to date and withahighquality.Theintentistocoverthetheory,applications,andperspectives on the state of the art and future developments relevant to systems, decision making,control,complexprocessesandrelatedareas, asembeddedinthefieldsof engineering,computerscience,physics,economics,socialandlifesciences,aswell astheparadigmsandmethodologiesbehindthem.Theseriescontainsmonographs, textbooks, lecture notes and edited volumes in systems, decision making and control spanning the areas of Cyber-Physical Systems, Autonomous Systems, Sensor Networks, Control Systems, Energy Systems, Automotive Systems, Biological Systems, Vehicular Networking and Connected Vehicles, Aerospace Systems, Automation, Manufacturing, Smart Grids, Nonlinear Systems, Power Systems, Robotics, Social Systems, Economic Systems and other. Of particular valuetoboththecontributorsandthereadershiparetheshortpublicationtimeframe and the world-wide distribution and exposure which enable both a wide and rapid dissemination of research output. Indexed by SCOPUS, DBLP, WTI Frankfurt eG, zbMATH, SCImago. AllbookspublishedintheseriesaresubmittedforconsiderationinWebofScience. More information about this series at http://www.springer.com/series/13304 fi Samsul Arif n Abdul Karim Editor Theoretical, Modelling and Numerical Simulations Toward Industry 4.0 123 Editor Samsul Ariffin AbdulKarim FundamentalandApplied Sciences Department andCentrefor Systems Engineering (CSE) Institute of Autonomous System Universiti TeknologiPETRONAS SeriIskandar,PerakDarulRidzuan,Malaysia ISSN 2198-4182 ISSN 2198-4190 (electronic) Studies in Systems,DecisionandControl ISBN978-981-15-8986-7 ISBN978-981-15-8987-4 (eBook) https://doi.org/10.1007/978-981-15-8987-4 ©TheEditor(s)(ifapplicable)andTheAuthor(s),underexclusivelicensetoSpringerNature SingaporePteLtd.2021 Thisworkissubjecttocopyright.AllrightsaresolelyandexclusivelylicensedbythePublisher,whether thewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseof illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmissionorinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilar ordissimilarmethodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained hereinorforanyerrorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregard tojurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSingaporePteLtd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore Preface Mathematics and statistics have been evolved throughout the years from manual calculationtotheuseofsophisticatedtoolssuchassoftwareandhardwareinsolving complicated problems. Besides, in the era of Industrial Revolution 4.0 (IR 4.0), mathematics and statistics play an important role in all nine pillars of IR4.0. This includes autonomous robots, cybersecurity, Internet of things (IOT), additive manufacturing,augmentedreality,systemintegration,cloudcomputing,simulations and big data. This book is trying to cater one aspect of IR 4.0, i.e., modeling and simulations. This book is originated from the collaboration between Universiti Teknologi PETRONAS (UTP), Malaysia, with Universiti Brunei Darussalam (UBD), Brunei Darussalam, and FPT University, Vietnam. There are nine con- tributed chapters in this book spanning all three universities. Chapter “Rainfall Scattered Data Interpolation Using Rational Quartic Triangular Patches” presents scattereddatainterpolationschemetovisualizerainfalldatabyusingrationalquartic spline defined on triangle domain. The scheme has three free parameters for shape modification.TheresultinginterpolatingrainfallsurfaceshaveC1continuityaswell asvisuallypleasing.Furthermore,theproposedschemewithfreeparametershasthe capability to produce a surface that is near to the positivity. Chapter “A Hybrid Metaheuristic Algorithm for Truss Structure Domain’s Optimization Problem” presentsaself-adaptivepenaltyfunctionapproachtoeliminatetheneedforfrequent trials for setting up penalty parameters. This approach is hybridized with particle swarm optimization (PSO) and colliding bodies algorithm (CBO). Later, this approachistestedwithtrussstructureproblemsandcomparedwithpreviousworks. The effect of the behavior of penalty parameter, penalty function and constrained violationanalyzedanddiscussedwiththeadvantagesoverotheralgorithms.Chapter “ElectricFieldBehaviorinTimeDomainforSemicircleAntennainHomogeneous Multi Layered Media” presents the simulation of the electric field for semicircle antennausedtodetectthepresenceofhydrocarbonbasedonresistivitycontrast.The simulationresultsarebasedonseawaterdepth;thicknessofhydrocarbonshowsthat the semicircle antenna has the potential to be used in seabed logging. Chapter “Surface Interpolation Using Partially Blended Rational Bi-Quartic Spline” dis- cussed the construction of new rational bi-quartic spline interpolation by using v vi Preface partially blended scheme. There are twelve parameters in the description of the proposed scheme, and it can be used for shape modification. Numerical results suggest that the proposed rational bi-quartic spline interpolation is the best for surfaceinterpolatingcomparedwithexistingschemes.Theinterpolatingsurfacesare verysmoothandhaveC1continuityeverywhere.Chapter“Cost-BenefitAnalysisof SustainableSolar-PoweredWorkplaceElectricVehicleChargingStation”considers deployment of solar integrated EVs are feasible through embedding the IR 4.0 components, including the information communication technology (ICT), sensors andintelligentnetworks.Thismakesthelow-voltagedistributionnetworkfreefrom overloading of distribution transformers, overloading of network feeders. It avoids variousimpactscausedbythechargingofEVs.Inthischapter,thedesignandsizing of SPEVCS for workplace charging system along withperformance and cost anal- ysis of the SPECS are carried out. Chapter “Positivity-Preserving Interpolation UsingRationalQuarticSplineFunctions”considerstheconstructionofnewrational quartic spline of the form quartic numerator and linear denominator. This rational spline is used for positivity-preserving interpolation. Data-dependent sufficient condition for the positivity of the rational spline is derived on the parameter. Numerical results indicate that the proposed scheme has the capability to preserve the positivity of the data. The interpolating positive curve is smooth as well as visually pleasing. Chapter “Decision Support Method for Agricultural Irrigation Scenarios Performance Using WEAP Model” presents a suitable decision support method to look at the performance of the effect of different agricultural irrigation scenarios on special type of rice variety, i.e., MRQ76, planted in Wasan padi field, situated at Brunei-Muara District, Brunei Darussalam. Specifically, the WEAP-MABIAmodel(basedonsoil-waterbalanceapproach)isappliedtoperform evaluation of irrigation scheduling for three different rice growing seasons. We found that the WEAP model is a good model for providing the best irrigation schedulingstrategyforoptimumriceyieldandefficientwatermanagement.Chapter “BayesianVariableSelectionforLinearModelsUsingI-Priors”presentsaBayesian methodology for variable selection using a novel, information-theoretic, objective priorchoicecalledtheI-prior(Bergsma,2019).Inthiswork,weshowthatusingthe I-priorinKuoandMallick’s(1998)variableselectionmodel,weareabletoachieve betterresults(improvedparsimony,R2valuesandpredictiveabilities),especiallyin datawithstrongmulticollinearity.Thisisshownbywayofasimulationstudyandin real data examples. Chapter “On the Space of m-Subharmonic Functions” presents radiallysymmetricm-subharmonicfunctionsontheunitballandtheirconvexityas well as their relationship with a solution of the complex Hessian equations. Furthermore, the ordered vector space of delta radially symmetric m-subharmonic functions which is a Riesz space is investigated. Moreover, we propose a space of m-subharmonic functions along withthe Mabuchi metric and introduce a geodesic between two pointsin this space. Theeditorwouldliketoexpresshisgratitudetoallcontributingauthorsfortheir great effort andfull commitment in preparingtheirfinalmanuscripts. Furthermore, we would like to thank you all reviewers for their constructive comments. This project is fully supported by Universiti Teknologi PETRONAS (UTP) and the Preface vii Ministry of Education, Malaysia, through a research grant FRGS/1/2018/STG06/ UTP/03/1015MA0-020 (Rational quartic spline interpolation for image refine- ment)andYUTP:0153AA-H24(SplineTriangulationforSpatialInterpolation of Geophysical Data). Thisbookissuitableforallmathematicsandstatisticspostgraduatestudentsand researchers. Seri Iskandar, Malaysia Samsul Ariffin Abdul Karim July 2020 Contents Rainfall Scattered Data Interpolation Using Rational Quartic Triangular Patches. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Nur Nabilah Che Draman, Samsul Ariffin Abdul Karim, Ishak Hashim, and Yeo Wee Ping A Hybrid Metaheuristic Algorithm for Truss Structure Domain’s Optimization Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Kallol Biswas, Pandian Vasant, Jose Antonio Gamez Vintaned, Junzo Watada, Arunava Roy, and Rajalingam Sokkalingam Electric Field Behavior in Time Domain for Semicircle Antenna in Homogeneous Multi Layered Media . . . . . . . . . . . . . . . . . . . . . . . . . 35 Elsayed Dahy, Afza Shafie, and Noorhana Yahya Surface Interpolation Using Partially Blended Rational Bi-Quartic Spline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Samsul Ariffin Abdul Karim, Lila Iznita Izhar, Mahmod Othman, and Nooraini Zainuddin Cost-Benefit Analysis of Sustainable Solar-Powered Workplace Electric Vehicle Charging Station. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 KameswaraSatyaPrakashOruganti,ChockalingamAravindVaithilingam, Gowthamraj Rajendran, and Agileswari Ramasamy Positivity-Preserving Interpolation Using Rational Quartic Spline Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 Samsul Ariffin Abdul Karim and Van Thien Nguyen Decision Support Method for Agricultural Irrigation Scenarios Performance Using WEAP Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 Saiful Azmi Husain and Nor Hamizah Mohd Rhyme ix x Contents Bayesian Variable Selection for Linear Models Using I-Priors. . . . . . . . 107 Haziq Jamil and Wicher Bergsma On the Space of m-Subharmonic Functions . . . . . . . . . . . . . . . . . . . . . . 133 Samsul Ariffin Abdul Karim and Van Thien Nguyen Index .... .... .... .... .... ..... .... .... .... .... .... ..... .... 167

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