Mathematics Applied to Engineering and Management (Mathematical Engineering, Manufacturing, and Management Sciences)

317 Pages·2019·12.755 MB·English

by  Mangey Ram (editor), S.B. Singh (editor)

Mathematics Applied
to Engineering and
Management
Mathematical Engineering, Manufacturing,
Mathematics Applied
and Management Sciences
Series Editor: Mangey Ram, Professor, Department of Mathematics;
to Engineering and
Computer  Science and Engineering, Graphic Era Deemed to be University,
Dehradun, India
Management
The aim of this new book series is to publish the research studies and articles
that contain the latest development and research applied to mathematics
and its applications in the manufacturing and management sciences areas.
Mathematical tools and techniques are the strength of engineering sciences.
They form the common foundation of all novel disciplines as engineering
evolves and develops. The series will include a comprehensive range
of applied mathematics and its application in engineering areas such as
optimization techniques, mathematical modeling and simulation, stochastic
processes and systems engineering, safety-critical system performance,
system safety, system security, high-assurance software architecture and
design, mathematical modeling in environmental safety sciences, finite
element methods, differential equations, and reliability engineering.
Edited by
Sustainable Procurement in Supply Chain Operations
Mangey Ram
Edited by Sachin Mangla, Sunil Luthra, Suresh Jakar, Anil Kumar,
and  Nirpendra Rana S. B. Singh
For more information on this series, please visit: https://www.crcpress.com/
Mathematical-Engineering-Manufacturing-and-Management-Sciences/
book-series/CRCMEMMS
Mathematical Engineering, Manufacturing,
Mathematics Applied
and Management Sciences
Series Editor: Mangey Ram, Professor, Department of Mathematics;
to Engineering and
Computer  Science and Engineering, Graphic Era Deemed to be University,
Dehradun, India
Management
The aim of this new book series is to publish the research studies and articles
that contain the latest development and research applied to mathematics
and its applications in the manufacturing and management sciences areas.
Mathematical tools and techniques are the strength of engineering sciences.
They form the common foundation of all novel disciplines as engineering
evolves and develops. The series will include a comprehensive range
of applied mathematics and its application in engineering areas such as
optimization techniques, mathematical modeling and simulation, stochastic
processes and systems engineering, safety-critical system performance,
system safety, system security, high-assurance software architecture and
design, mathematical modeling in environmental safety sciences, finite
element methods, differential equations, and reliability engineering.
Edited by
Sustainable Procurement in Supply Chain Operations
Mangey Ram
Edited by Sachin Mangla, Sunil Luthra, Suresh Jakar, Anil Kumar,
and  Nirpendra Rana S. B. Singh
For more information on this series, please visit: https://www.crcpress.com/
Mathematical-Engineering-Manufacturing-and-Management-Sciences/
book-series/CRCMEMMS
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Library of Congress Cataloging‑in‑Publication Data
Names: Ram, Mangey, editor. | Singh, S. B. (Engineer) editor.
Title: Mathematics applied to engineering and management / edited by Mangey
Ram and S.B. Singh.
Description: Boca Raton : Taylor & Francis, a CRC title, part of the Taylor &
Francis imprint, a member of the Taylor & Francis Group, the academic
division of T&F Informa, plc, 2019. | Series: Mathematical engineering,
manufacturing, and management sciences | Includes bibliographical
references.
Identifiers: LCCN 2019015378 | ISBN 9780815358046 (hardback : acid-free paper)
| ISBN 9781351123303 (e-book)
Subjects: LCSH: Engineering mathematics. | Industrial management--Mathematics.
Classification: LCC TA330 .M325 2019 | DDC 620.001/51--dc23
LC record available at https://lccn.loc.gov/2019015378
Visit the Taylor & Francis Web site at
http://www.taylorandfrancis.com
and the CRC Press Web site at
http://www.crcpress.com
Contents
Preface ....................................................................................................................vii
Acknowledgments .................................................................................................ix
Editors ......................................................................................................................xi
Contributors .........................................................................................................xiii
1. Geometric and Geometric-Like Processes and Their
Applications in Warranty Analysis ............................................................1
Richard Arnold, Stefanka Chukova, Yu Hayakawa, and Sarah Marshall
2. Supervised Machine Learning: Application Example
Using Random Forest in R ..........................................................................25
Bharatendra Rai
3. Simulation Optimization Approach for Cost Reduction
in Multi-echelon Inventory Systems Considering Cooperation
among Retailers ............................................................................................39
Taha-Hossein Hejazi, Afrooz Farhadi, and Bahareh Hekmatnia
4. Applied Mathematic Technologies in Nonlinear Mechanics
of Thin-Walled Constructions ...................................................................71
Vladimir Dmitriev
5. Some Solutions of Differential Equations in Engineering
Calculations .................................................................................................117
Lubov Mironova and Leonid Kondratenko
6. Application of Transmuted Gumbel Copula for Energy
Modeling ......................................................................................................155
Alok Dhaundiyal, S. B. Singh, and Muammel M. Hanon
7. Differential Quadrature Method: A Robust Technique to Solve
Differential Equations ...............................................................................187
G. Arora and M. Bashir
8. The TSCSTFCF Procedure for Reliability Demonstration ................205
Amos E. Gera
9. Reliability Evaluation of a MANET Incorporating Copula ..............229
Nisha Nautiyal and S. B. Singh
v
vi Contents
10. Hydromagnetic Flow of Copper-Water Nanofluid with
Different Nanoparticle Shapes toward a Nonlinear
Stretchable Plate ........................................................................................267
Santosh Chaudhary and KM Kanika
11. Reliability and Sensitivity Assessment of a Sugar Mill through
Mathematical Modeling ............................................................................285
Amit Kumar and Monika Manglik
Index .....................................................................................................................301
Preface
There has been ever-increasing challenges, trends, and attention paid to
applying mathematics to deal with engineering and managerial problems.
Engineers and managers more often find that ultimately their problems
are transformed into some of the mathematical forms, which itself brings
mathematics into the concerned field of study. We further believe that
researchers involved in problems dealing with practical engineering and
management approaches may have to apply mathematics to find the solu-
tions they’re looking for. Moreover, decision-making by managers, practitio-
ners, and engineers can be made more effective if the outcome is decided by
the combination of management and engineering theories with the applica-
tion of effective mathematical and statistical tools.
The fact of the matter is that mathematics is widely applied to solve the
many problems of physical and the material world. Keeping these facts and
the title of the book in mind, this volume contains applications of mathemati-
cal theories and models to problems such as warranty analysis, supervised
machine learning, inventory systems, nonlinear mechanics, energy model-
ing, reliability evaluation, and hydromagnetic flow.
This book is useful to senior graduate, postgraduate students, and research
scholars. Of course, it can also be used as a reference book by academicians,
scientists, engineers, and managers working in different organizations. We
wish to make it clear that this volume is small in an attempt to highlight
some contemporary works in which mathematics is applied to engineering
and managerial problems.
Mangey Ram
Graphic Era Deemed to be University
Dehradun, India
S. B. Singh
G. B. Pant University of Agriculture & Technology
Pantnagar, India
vii

Acknowledgments
The Editors acknowledge CRC press for this opportunity and professional
support. Also, we would like to thank all the chapter authors and reviewers
for their availability for this work.
ix