Advanced Mathematical Techniques in Computational and Intelligent Systems.

Format:

Book

Author/Creator:

Singh, Sandeep.

Contributor:

Haghighi, Aliakbar Montazer.

Dalal, Sandeep.

Series:

Computational and Intelligent Systems Series

Language:

English

Physical Description:

1 online resource (285 pages)

Edition:

1st ed.

Place of Publication:

Milton : Taylor & Francis Group, 2023.

Summary:

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.

Contents:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Index.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: Singh, Sandeep Advanced Mathematical Techniques in Computational and Intelligent Systems

ISBN:

9781000997477

1000997472

OCLC:

1406412833