This book comprehensively discusses the modeling of real-world industrial problems and innovative optimization techniques such as heuristics, finite methods, operation research techniques, intelligent algorithms, and agent- based methods.
The field of computational and intelligent systems has seen remarkable advancements in recent years. Mathematical techniques are at the heart of these developments, providing a powerful toolset for solving complex problems in a wide range of applications.
This edited book, Advanced Mathematical Techniques Applicable in Computational and Intelligent Systems, brings together a diverse collection of chapters written by experts in their respective fields. This book covers a broad spectrum of mathematical techniques and their applications in computational and intelligent systems. It includes topics ranging from optimization techniques to mathematical modeling of biological systems, and from graph theory to public key cryptography.
Solving optimization problems to boost production is where Machine Learning comes to the rescue. Operators perform the optimization on the basis of their personal experience, which adds up over time as they get to know about handling the process. This capability of learning from one’s own experience is the best part of Machine Learning. Machine Learning algorithms analyse a huge amount of previous data from the sensors and they can learn to know the complicated relation between different parameters and how they affect production.
Application of graph theory in search of websites and web pages: Website designing can be drawn as a graph, with web pages represented by vertices and hyperlinks between them using edges within the graph. This idea is called web graph. It makes discovering exciting data. Various software areas of the graph are in the net network. Here vertices represent training items, and each vertex represents one type of object, and each vertex represents one type of object that is associated with each vertex rep- resenting different types of objects. In graph theory, this type of graph is known as a complete bipartite graph. The use of graph illustration in website development also has several advantages: (i) search and community discovery; (ii) graph representation (directed graph) in website application evaluation and link size and (iii) detect all associated factors and provide easy identification.
Discusses advanced techniques such as key cell, Mobius inversion, and zero suffix techniques to find initial feasible solutions to optimization problems.
Provides a useful guide toward the development of a sustainable model for disaster management.
Presents optimized hybrid block method techniques to solve mathematical problems existing in the industries.
Covers mathematical techniques such as Laplace transformation, stochastic process, and differential techniques related to reliability theory.
Highlights application on smart agriculture, smart healthcare, techniques for disaster management, and smart manufacturing.
Advanced Mathematical Techniques in Computational and Intelligent Systems is primarily written for graduate and senior undergraduate students, as well as academic researchers in electrical engineering, electronics and communications engineering, computer engineering, and mathematics.
Author(s): Sandeep Singh, Aliakbar Montazer Haghighi, Sandeep Dalal
Series: Computational and Intelligent Systems Series
Publisher: CRC Press
Year: 2023
Language: English
Pages: 285
Cover
Half Title
Series Page
Title Page
Copyright Page
Table of Contents
About the Editors
Contributors
Preface
1 Increasing the Order of Convergence of Three-step-Modified Potra-Pták-Chebyshev Methods for Systems and Equations
1.1 Introduction
1.2 Development of the Method
1.3 Multi-step Version Method
1.4 Local Convergence Analysis
1.5 Numerical Examples
References
2 Mathematical Model to Distinguish the Symptomatic Patient of COVID-19
2.1 Introduction
2.2 Preliminaries
2.2.1 Basic Definition
2.2.2 Arithmetic Operations
2.2.3 Max-min Principle
2.3 Approach
2.4 Model Representation
2.5 Case Study
2.6 Results and Discussion
2.7 Conclusion and Future Scope
References
3 Maximum Cost cell Method for IBFS of Transportation Problems
3.1 Introduction
3.2 Mathematical Representation
3.3 Proposed Algorithm (PA)
3.4 Illustrative Example
3.5 Comparative Study
3.6 Conclusion
References
4 Optimization Techniques and Applications to Solve Real-world Industrial Optimization Problems
4.1 Introduction
4.1.1 Background
4.2 Recent Works
4.2.1 Optimizing Maintenance Schedule
4.2.2 Search-based Software Testing (SBST)
4.2.3 Cost Optimization of Turning Process
4.3 Problem Statement
4.3.1 Research Questions
4.3.2 Research Objectives
4.4 Using Industrial data for Optimization Practices
4.4.1 Centralization and Collection of Data
4.4.2 Automation of Monitoring
4.4.3 Real-time Data Visualization
4.4.4 Predictive Analysis
4.5 Optimization Techniques and Applications to Solve Real-world Problems
4.5.1 Optimization Models
4.5.2 Optimization Methods
4.5.3 The Complex Nature of Production Optimization
4.5.4 Solving Optimization Problem with Machine Learning
4.5.5 Components of ML-based Production Optimization
4.6 Discussion
4.7 Conclusion
References
5 A Method to Solve Trapezoidal Transshipment Problem under Uncertainty
5.1 Introduction
5.2 Preliminaries
5.3 Arithmetic Operations
5.4 Ranking Function
5.5 Mathematical Formulation of the Transshipment Problem under Uncertainty
5.6 Proposed Method
5.7 Numerical Example
5.8 Results and Discussion
5.9 Comparative Studies
5.10 Conclusion
References
6 Enhancing the Security of Public key Cryptographic Model based on Integrated ElGamal-Elliptic Curve Diffe Hellman (EG-ECDH) Key Exchange Technique
6.1 Introduction
6.2 Generalized Fibonacci Matrix and its Inverse
6.3 Technique for key Generation, Encryption and Decryption
6.3.1 ElGamal Technique
6.3.2 ECDH Technique
6.3.3 Proposed Integrated ElGamal-ECDH Technique for key Generation
6.4 Technique for Encryption and Decryption
6.5 Algorithm for Proposed Model
6.6 Numerical Example
6.7 Complexity of this Model
6.8 Conclusion
References
7 An Investigation of Fractional Ordered Biological Systems using a Robust Semi-Analytical Technique
7.1 Introduction
7.2 Generalized time Fractional order Biological Population Model
7.3 Preliminaries
7.3.1 Basic Concept of Fractional Calculus
7.3.2 Basic Definitions
7.4 Implementation of Fractional Modified Differential Transform Method
7.5 Conclusion
References
8 Variable Selection in Multiple Nonparametric Regression Modelling
8.1 Introduction
8.2 Proposed Methodology and Statistical Properties
8.2.1 Description of the Method
8.2.2 Large Sample Statistical Property
8.3 Simulation Study
8.4 Real data Analysis
8.4.1 QSAR Fish Toxicity Data Set
8.4.2 Istanbul Stock Exchange Data Set
8.4.3 SGEMM GPU Kernel Performance Data Set
8.4.4 CSM (Conventional and Social Media Movies) Data Set
8.5 Concluding Remarks
Appendix A (Proofs)
Appendix B (Tables)
Acknowledgement
References
9 Mathematical Modeling of Regulation of Sulfur Metabolic Pathways
9.1 Introduction
9.2 Review of Literature
9.3 Materials and Methods
9.3.1 Materials
9.3.2 Methods
9.4 Results
9.4.1 KEGG Reported S-biochemical Pathways
9.4.2 Construction of S-biochemical Network
9.4.3 Model Formulation
9.4.4 Steady State Behavior of S-biochemical System
9.4.5 Parameter Dependency of the S-biochemical System
9.4.6 Initial Condition Dependency of the S-biochemical System
9.4.7 Flipping Dynamics of Sulfate and Sulfide
9.4.8 Elementary Flux Modes
9.5 Conclusion
References
10 Some Results on Quasi-convergence in Gradual Normed linear Spaces
10.1 Introduction: Background and Driving Forces
10.2 Preliminaries
10.3 Main Results
10.4 Conclusion
References
11 On Einstein Gyrogroup
11.1 Introduction
11.2 Preliminaries
11.2.1 Gyrogroup and its Main Properties
11.2.2 Einstein’s Addition of Relativistically Admissible Velocities
11.3 Gyrations: Repairing the Breakdown of Classical Laws
References
12 On the Norms of Toeplitz and Hankel Matrices with Balancing and Lucas-balancing Numbers
12.1 Introduction
12.1.1 Norms and Bounds for Spectral Norm
12.2 Main Results
12.2.1 Bounds on Norms for Toeplitz Matrices
12.2.2 Norms on Hankel Matrices
12.3 Numerical Experiments
12.4 Concluding Remarks
Acknowledgment
References
13 Grey Wolf Optimizer for the Design Optimization of a DC-DC Buck Converter
13.1 Introduction
13.2 Algorithms for Optimization
13.2.1 Grey Wolf Optimizer
13.2.2 Moth Flame Optimization
13.2.3 Particle Swarm Optimization
13.2.4 Simulated Annealing
13.2.5 Firefly Algorithm
13.3 Steady State Space Model of the DC–DC buck Converter
13.4 Design Constraints of the DC–DC buck Converter
13.5 Results and Discussion
13.5.1 Solution Quality
13.5.2 Robustness
13.6 Conclusions
References
14 A New Modified Iterative Transform Method for Solving Time-fractional Nonlinear Dispersive Korteweg-de Vries Equation
14.1 Introduction
14.2 Numerical Experiment
14.3 Some Preliminaries
14.3.1 Basics on Fractional Calculus
14.3.2 Conformable Sumudu Transform
14.4 Conformable New Iterative Transform Method
14.5 Illustrative Example
14.6 Conclusion
Acknowledgments
References
15 Application of Graph Theory in Search of Websites and Web Pages
15.1 Introduction
15.2 Materials and Methods
15.3 Solution Procedure
15.4 Results and Discussion
15.5 Conclusion
References
Index
