Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy: Proceedings of the Second International Conference, MMCITRE 2021 ... in Intelligent Systems and Computing, 1405)

This book presents new knowledge and recent developments in all aspects of computational techniques, mathematical modeling, energy systems, and applications of fuzzy sets and intelligent computing. The book is a collection of best selected research papers presented at the Second International Conference on “Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy (MMCITRE 2021),” organized by the Department of Mathematics, Pandit Deendayal Petroleum University, in association with Forum for Interdisciplinary Mathematics. The book provides innovative works of researchers, academicians, and students in the area of interdisciplinary mathematics, statistics, computational intelligence, and renewable energy. Preface Contents About the Editors Advanced Mathematical Concepts Strongly Prime Radicals and S-Primary Ideals in Posets 1 Introduction 2 Preliminaries 3 Main Results 4 Conclusion References Association Schemes Over Some Finite Group Rings 1 Introduction 2 Preliminaries 3 Main Results 4 Conclusions References Rings Whose Nonunits Are Multiple of Unit and Strongly Nilpotent Element 1 Introduction 2 US-Rings 3 US Group Rings References Improved Lower Bounds on Second Order Non-linearities of Cubic Boolean Functions 1 Introduction 1.1 Representation of Boolean Functions 1.2 Some Definitions 1.3 Nonlinearity of Boolean Functions 1.4 Nonlinearities of Higher Order 2 Preliminary Results 2.1 Recursive Lower Bounds on Nonlinearities of Higher Order of Boolean Functions 2.2 Quadratic Boolean Functions ch4canteanut08,ch4patterson83 2.3 Walsh Hadamard Spectrum of a Quadratic Boolean Function 2.4 Linearized Polynomial 3 Algorithms 4 Previous Results 5 Main Results 5.1 Improved Lower Bounds 6 Comparisons 7 Conclusion References Cesàro-Riesz Product Summability φ-|C1R;δ|q Factor for an Infinite series 1 Introduction 2 Definitions and Notations 3 Known-Result 4 Lemma 5 Main Result 6 Corollaries 7 Conclusion References Ostrowski-Type Inequalities with Exponentially Convex Functions and Its Applications 1 Introduction 2 Ostrowski-Type Inequalities 3 Applications to Means 4 Conclusion References Energy of 2-Corona of Graphs 1 Introduction 2 2-Corona Product of Graphs 3 Energy of 2-Corona Product of Graphs 3.1 Energy of 2-c.p of Same Graphs 3.2 Energy of 2-Corona Product of Different Graphs 4 Conclusion References Generalized KKM Mapping Theorems 1 Introduction 2 Preliminaries 3 Main Results References Optimal Mild Solutions of Time-Fractional Stochastic Navier-Stokes Equation with Rosenblatt Process in Hilbert Space 1 Introduction 2 Model Description of Time-Fractional Stochastic NSE 3 Preliminaries 4 Existence of Mild Solution 5 Optimal Mild Solutions 6 Conclusion References Shape Preserving Hermite Interpolation Reproducing Ellipse 1 Introduction 2 Quadratic Trigonometric Spline and Hermite Interpolation 3 Monotonicity 4 Convexity and Concavity 5 Numerical Examples 6 Comparison 7 Concluding Remark References Mellin Transform of Bose–Einstein Integral Functions 1 Introduction 2 Bose–Einstein Integral Functions 3 Bose–Einstein Integral Functions as Power Series Functions 4 Relation Between the Mellin Transform of Bose–Einstein Integral Functions and the Riemann Zeta Function 5 Some Numerical Values of F1/2(α), F3/2(α) and F5/2(α) Using Gauss–Laguerre Quadrature 6 Conclusion References A Note on Solution of Linear Partial Differential Equations with Variable Coefficients Formed by an Algebraic Function Using Sumudu Transform with Sm Operator 1 Introduction 2 Theorems on Sumudu Transform with Sm Operator 2.1 Examples of Sumudu Transform with Sm Operator 3 Sumudu Transform with Partial Differential Equations 4 Conclusion References Mathematical Modelling and Simulation in Various Disciplines A Computational Approach for Disease Diagnosis Using Information Embedded in the Relationships Between MicroRNA and Their Target Messenger RNA 1 Introduction 2 Literature Survey 3 Proposed Methodology 3.1 Graphical Representation References Computational Reconstruction of Gene Regulatory Networks Using Half-Systems Incorporating False Positive Reduction Techniques 1 Introduction 2 Preliminaries 2.1 Half-Systems 2.2 Artificial Bee Colony Optimisation 2.3 Dragonfly Inspired Artificial Bee Colony Optimisation 3 Proposed Methodology 4 Experimental Results and Discussions 5 Conclusion References A Study with Magnetic Field on Stenosed Artery of Blood Flow 1 Introduction 2 Mathematical Formulation 3 Solution of the Problem 4 Result and Discussion 5 Conclusion References Estimation of Reproduction Number of COVID-19 for the Northeastern States of India Using SIR Model 1 Introduction 2 Data and Methods 3 Results 4 Conclusion References Novel Generalized Divergence Measure for Intuitionistic Fuzzy Sets and Its Applications in Medical Diagnosis and Pattern Recognition 1 Introduction 2 Preliminaries 3 Novel Generalized Intuitionistic Fuzzy Divergence Measure 3.1 Definition of Novel Generalized Intuitionistic Fuzzy Divergence Measure 4 Case Study of Pattern Recognition 4.1 Comparison with Other Divergence Measures 5 Case Study of Medical Diagnosis 5.1 Comparison with Other Intuitionistic Fuzzy Divergence Measures 6 Conclusions References Development of 2D Axisymmetric Acoustic Transient and CFD Based Erosion Model for Vibro Cleaner Using COMSOL Multiphysics 1 Introduction 2 Technical Background 2.1 Working Principle 2.2 Cavitation Erosion Effect 2.3 Simulation Equations 3 Methodology 3.1 Input Parameters for Ultrasonic Cleaning Tank and Other Parts 3.2 Computational Model and Simulation 4 Result and Discussion 4.1 Acoustic Approach 4.2 CFD Approach 5 Conclusion References Performance Analysis of Nonlinear Isothermal CSTR for Its Different Operating Conditions by Sliding Mode Controller Design 1 Introduction 2 Process Description: Isothermal CSTR 3 State Observer 3.1 Stability Analysis of State Observer 4 Controller Design 4.1 State Space Model of Isothermal CSTR Process 4.2 Sliding Mode Controller 5 Simulation Study 6 Conclusion References Production Inventory Model for Deteriorating Items with Hybrid-Type Demand and Partially Backlogged Shortages 1 Introduction 2 Assumptions and Notations 2.1 Assumption 2.2 Notation 3 Mathematical Model Formulation 4 Cost Calculation 4.1 Total Cost 5 Optimality of the Model 6 Numerical Verification 6.1 Convexity Graph of Total Cost Functions 6.2 Sensitivity Analysis 7 Conclusion References Influence of Electric and Magnetic Fields on Rayleigh–Taylor Instability in a Power-Law Fluid 1 Introduction 2 Mathematical Model of the Problem 3 Dispersion Relation 4 Concluding Remarks References An Eco-Epidemic Dynamics with Incubation Delay of CDV on Amur Tiger 1 Introduction 2 Development of the Model 3 Positivity and Boundedness 4 Basic Reproduction Number 5 Equilibrium Classification and Existence 6 Mathematical Analysis of the Model 6.1 Global Stability Analysis 7 Sensitivity Analysis 8 Numerical Simulation 9 Discussion 10 Conclusion 11 Future Scope References Optimization and Statistical Analysis Comparison of Optimization Results of RSM Approaches for Transesterification of Waste Cooking Oil Using Microwave-Assisted Method Catalyzed by CaO 1 Introduction 2 Materials and Methodology 2.1 Materials 2.2 Design of Experiment (DOE) 2.3 Microwave-Assisted Method 2.4 Response Surface Methodology (RSM) 3 Results and Discussion 3.1 RSM Empirical Models and Analysis 3.2 Influence of Different Parameters on Biodiesel Yield 3.3 Process Optimization 3.4 Comparison of FFD and BBD Using RSM 4 Conclusion References Developing a Meta-Heuristic Method for Solving Multi-objective COTS Selection Problems 1 Introduction 2 Mathematical Model Formulation of COTSSP 3 Hybrid Jaya Algorithm for Solving Multi-objective COTS Selection Problem 4 Numerical Illustration 5 Conclusion References SNOV-DNOV Mesh Sorting for Multi-objective Optimization 1 Introduction 2 Non-dominated Sorting 3 Proposed SNOV-DNOV Mesh Sorting 3.1 Mesh Weight Components for SNOD-DNOV Sorting 3.2 SNOV-DNOV Mesh Sorting Algorithm 3.3 Mesh Weight Assignment in the 2D Objective Space Using SNOV-DNOV 3.4 Mesh Weight Assignment for the mD Objective Space Using SNOV-DNOV 4 Performance Evaluation of the SNOV-DNOV Mesh Sorting 5 Conclusions References Multivariate Analysis and Human Health Risk Assessment of Groundwater in Amreli District of Gujarat State, India 1 Introduction 2 Materials and Methodology 3 Results and Analysis 4 Conclusion References Tuning Pmax in RED Gateways for QoS Enhancement in Wireless Packet Switching Networks 1 Introduction 2 Literature Review 3 System Modeling 3.1 Wireless Loss-Predictor: Normalized Delay Gradient (NDG) 3.2 RED Algorithm 3.3 Selection of qmin and qmax Values 3.4 Stability Analysis of Pmax 3.5 Theorem 4 Simulation and Performance Analysis 5 Conclusion References Development of a Mathematical Framework to Evaluate and Validate the Performance of Smart Grid Communication Technologies: An Indian Case Study 1 Introduction 2 Literature Review 3 Methodology 3.1 Framework 3.2 Algorithm 4 An Indian Case Study 4.1 Results 5 Conclusions, Recommendations and Future Directions 5.1 Conclusions 5.2 Recommendations 5.3 Future Directions Appendix 1: Nomenclatures and Abbreviations References Early Prediction of Cardiovascular Disease Using One-vs-All Model 1 Introduction 2 Literature Review 3 Dataset and Algorithms Used 4 Results 5 Conclusion 6 Future Work References Signature Analysis of Series–Parallel System 1 Introduction 2 Importance of Signature Analysis 3 Signature Analysis of Series–Parallel System 4 Numerical Example 5 Conclusion and Future Scope References Modified Goel-Okumoto Software Reliability Model Considering Uncertainty Parameter 1 Introduction 2 SRGM: A Brief Survey 3 Uncertainties 4 Proposed Model 4.1 Basic Assumption 4.2 Uncertainty Modeling 5 Model Analysis 5.1 Model Comparison Criteria 5.2 Dataset Used 5.3 Results and Comparison 6 Conclusion References A Neoteric Technique Using ARIMA-LSTM for Time Series Analysis on Stock Market Forecasting 1 Introduction 2 ARIMA Model 3 LSTM Model 4 Proposed Methodology 5 Results 6 Conclusion 7 Limitations and Future Work References Collaborative Deployment Strategy for Efficient Connectivity in the Internet of Things 1 Introduction 2 System Model 3 Proposed Collaborative Deployment Strategy 4 Results and Discussion 5 Conclusions References Theoretical Development of Fuzzy and Energy System with Applications Fuzzy Beta mathcalC-Open Sets 1 Introduction 2 Preliminaries 3 Main Results 4 Conclusion References On Intuitionistic Fuzzy Measures of Generalized Bounded Variation 1 Introduction 2 On Fuzzy Measure 3 On Intuitionistic Fuzzy Measure 4 Conclusion References Fuzzy Model of Transmission Dynamics of COVID-19 in Nepal 1 Introduction 1.1 Fuzzy Set 1.2 Fuzzy Measure and Fuzzy Expected Value 2 Materials and Methods 2.1 Formulation of Model 2.2 Positivity and Boundedness 2.3 Existence and Uniqueness 2.4 Fuzzy SAIHR Model 2.5 Basic Reproduction Number and Equilibrium Points 3 Relation Between R0(x) and R0f 4 Stability Analysis 5 Results 6 Conclusion References Cryptanalysis of Fuzzy-Based Mobile Lightweight Protocol Scheme 1 Introduction 1.1 Our Contributions 1.2 Paper Organization 2 Literature Survey 3 Scheme of Qiu et al. 3.1 System Setup Phase 3.2 Login and Authentication 3.3 Password and Biometric Update Phase 4 Cryptanalysis of Qiu et al.’s [61] 4.1 SSTI Attack 4.2 Replay Attack 4.3 Overhead Computation 4.4 Denial of Service 4.5 Stolen Verifier Attack 5 Conclusion and Future Work References Energetic and Exergetic Analyses of Hybrid Wind-Solar Energy Systems 1 Introduction 2 Mathematical Modeling 2.1 Wind Energy System (WES) 2.2 Solar Energy System (SES) 2.3 Hybrid Wind-Solar Energy System (HWSES) 3 Results 4 Conclusion References Analysis of State of Health Estimation for Lithium-Ion Cell Using Unscented and Extended Kalman Filter 1 Introduction 1.1 State of Charge 1.2 State of Health 2 State of Health Estimation Algorithm 2.1 Kalman Filter 2.2 Extended Kalman Filter 2.3 Unscented Kalman Filter 3 Electrical Equivalent Battery Model 4 Results and Discussions 5 Conclusion References Control of 7-Level Simplified Generalized Multilevel Inverter Topology for Grid Integration of Photovoltaic System 1 Introduction 2 General Architecture of Grid-Tied Photovoltaic System 3 Simplified Generalized 7-Level Multilevel Inverter 4 Proposed Architecture of Grid-Tied PV System 4.1 Mathematical Modeling of PV Cell 4.2 Modeling of 7-level Simplified Generalized MLI Topology 4.3 Control Algorithm 5 Results 6 Conclusion References Implementation of Constraint Handling Techniques for Photovoltaic Parameter Extraction Using Soft Computing Techniques 1 Introduction 2 Mathematical Modelling 2.1 Single-Diode and Double-Diode PV Model 3 Problem Formulation 4 Ensemble Constraint Handling Techniques and Its Implementation 4.1 ECHTE Algorithm 4.2 ECHTE Implemented for Extracting Solar PV Parameters 5 Experimental Analysis of the Estimated Parameters 5.1 Experimental Data Analysis of RTC Cell at the Controlled Climatic Condition 5.2 Comparison of Different Constraint Handling Techniques Concerning Performance Parameters and Literature 5.3 Uncontrolled Climatic Data Validation Conditions with Measured Sets 6 Conclusion References Single Zonal Building Energy Modelling and Simulation 1 Introduction 2 Building Energy Model 3 Simulation Results 4 Conclusion Appendix References Author Index