Table Of ContentEditors
Briš
Snášel
Khanh
Dao
Applied Mathematics in Engineering and Reliability contains papers presented at the International
Conference on Applied Mathematics in Engineering and Reliability (ICAMER 2016, Ho Chi Minh City,
Viet Nam, 4-6 May 2016). The book covers a wide range of topics within mathematics applied in
reliability, risk and engineering, including: i A
n
p
E p
• Risk and Reliability Analysis Methods
n l
• Maintenance Optimization g ie Editors
• Bayesian Methods i d
n
• Monte Carlo Methods for Parallel Computing of Reliability and Risk e M Radim Briš
• Advanced Mathematical Methods in Engineering e
a
r
• Methods for Solutions of Nonlinear Partial Differential Equations i t Václav Snášel
n h
• Statistics and Applied Statistics, etc.
g e
Chu Duc Khanh
m
a
The application areas range from Nuclear, Mechanical and Electrical Engineering to Information n a
Phan Dao
Technology and Communication, Safety Engineering, Environmental Engineering, Finance to Health d t
i
and Medicine. The papers cover both theory and applications, and are focused on a wide range of R c
s
sectors and problem areas. Integral demonstrations of the use of reliability and engineering e
l
mathematics are provided in many practical applications concerning major technological systems i
a
and structures. b
i
l
i
Applied Mathematics in Engineering and Reliability will be of interest to academics and professionals t
y
working in a wide range of industrial, governmental and academic sectors, including Electrical and
Electronic Engineering, Safety Engineering, Information Technology and Telecommunications, Civil
Engineering, Energy Production, Infrastructures, Insurance and Finance, Manufacturing, Mechanical
Engineering, Natural Hazards, Nuclear Engineering, Transportation, and Policy Making.
Applied Mathematics
in Engineering and Reliability
an informa business
APPLIED MATHEMATICS IN ENGINEERING AND RELIABILITY
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PROCEEDINGS OF THE 1ST INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS IN
ENGINEERING AND RELIABILITY (ICAMER 2016), HO CHI MINH CITY, VIETNAM, 4–6 MAY
2016
Applied Mathematics in Engineering
and Reliability
Editors
Radim Briš & Václav Snášel
Faculty of Electrical Engineering and Computer Science
VŠB—Technical University of Ostrava, Czech Republic
Chu Duc Khanh
Faculty of Mathematics—Statistics, Ton Duc Thang University, Vietnam
Phan Dao
European Cooperation Center, Ton Duc Thang University, Vietnam
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CRC Press/Balkema is an imprint of the Taylor & Francis Group, an informa business
© 2016 Taylor & Francis Group, London, UK
Typeset by V Publishing Solutions Pvt Ltd., Chennai, India
Printed and bound in Great Britain by CPI Group (UK) Ltd, Croydon, CR0 4YY
All rights reserved. No part of this publication or the information contained herein may be reproduced,
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Published by: CRC Press/Balkema
P.O. Box 11320, 2301 EH Leiden, The Netherlands
e-mail: [email protected]
www.crcpress.com – www.taylorandfrancis.com
ISBN: 978-1-138-02928-6 (Hbk)
ISBN: 978-1-315-64165-2 (eBook PDF)
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Applied Mathematics in Engineering and Reliability – Briš, Snášel, Khanh & Dao (Eds)
© 2016 Taylor & Francis Group, London, ISBN 978-1-138-02928-6
Table of contents
Preface ix
Organization xi
Message from Professor Vinh Danh Le xiii
Introduction xv
Applied mathematics in reliability engineering
Bayesian methods, Bayesian reliability
A conjugate prior distribution for Bayesian analysis of the Power-Law Process 3
V.C. Do & E. Gouno
Bayesian approach to estimate the mixture of failure rate model 9
R. Briš & T.T. Thach
Cost oriented statistical decision problem in acceptance sampling and quality control 19
R. Briš
High-dimensional simulation experiments with particle filter
and ensemble Kalman filter 27
P. Bui Quang & V.-D. Tran
The Prior Probability in classifying two populations by Bayesian method 35
V.V. Tai, C.N. Ha & N.T. Thao
Efficient methods to solve optimization problems
Estimation of parameters of Rikitake systems by SOMA 43
T.D. Nguyen & T.T.D. Phan
Clustering for probability density functions based on Genetic Algorithm 51
V.V. Tai, N.T. Thao & C.N. Ha
Optimization of truss structures with reliability-based frequency constraints under
uncertainties of loadings and material properties 59
V. Ho-Huu, T. Vo-Duy, T. Nguyen-Thoi & L. Ho-Nhat
Optimum revenue calculation method to generate competitive hydroelectric power
on Hua Na hydropower 67
P.T.H. Long, L.Q. Hung & P. Dao
Maintenance modelling and optimization
A dynamic grouping model for the maintenance planning of complex structure systems
with consideration of maintenance durations 73
H.C. Vu, A. Barros, M.A. Lundteigen & P. Do
A parametric predictive maintenance decision framework considering the system
health prognosis accuracy 81
K.T. Huynh, A. Grall & C. Bérenguer
v
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Condition-based maintenance by minimax criteria 91
O. Abramov & D. Nazarov
Impact of cost uncertainty on periodic replacement policy with budget constraint:
Application to water pipe renovation 95
K.T.P. Nguyen, D.T. Tran & B.M. Nguyen
Monte Carlo methods for parallel computing of reliability and risk
Acceleration of multi-factor Merton model Monte Carlo simulation via Importance
Sampling and GPU parallelization 107
M. Béreš & R. Briš
Highly reliable systems simulation accelerated using CPU and GPU parallel computing 119
S. Domesová & R. Briš
Network and wireless network reliability
Advanced protocol for wireless information and power transfer in full duplex DF
relaying networks 133
X.-X. Nguyen, D.-T. Pham, T.-Q. Nguyen & D.-T. Do
A performance analysis in energy harvesting full-duplex relay 139
T.N. Kieu, T.N. Hoang, T.-Q.T. Nguyen, H.H. Duy, D.-T. Do & M. Vozňák
A stochastic model for performance analysis of powered wireless networks 145
N.D. Ut & D.-T. Do
Energy harvesting in amplify-and-forward relaying systems with
interference at the relay 153
T.-L. Nguyen & D.-T. Do
On a tandem queueing network with breakdowns 159
A. Aissani
Risk and hazard analysis
Risk assessment of biogas plants 169
K. Derychova & A. Bernatik
Verification of the design for forced smoke and heat removal from a sports hall 177
P. Kučera & H. Dvorská
Stochastic reliability modelling, applications of stochastic processes
The methods of parametric synthesis on the basis of acceptability region
discrete approximation 187
Y. Katueva & D. Nazarov
Inference for a one-memory Self-Exciting Point Process 193
E. Gouno & R. Damaj
System reliability analysis
House events matrix for application in shutdown probabilistic safety assessment 201
M. Čepin
Imprecise system reliability using the survival signature 207
F.P.A. Coolen, T. Coolen-Maturi, L.J.M. Aslett & G. Walter
Parallel algorithms of system availability evaluation 215
M. Kvassay, V. Levashenko & E. Zaitseva
vi
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Advanced mathematical methods for engineering
Advanced methods to solve partial differential equations
A note on the Cauchy-Riemann equation on a class of convex domains
of finite and infinite type in 2 225
L.K. Ha
A review on global and non-global existence of solutions of source types of degenerate
parabolic equations with a singular absorption: Complete quenching phenomenon 231
D.N. Anh, K.H. Van & J.I. Díaz
A spectral decomposition in vector spherical harmonics for Stokes equations 237
M.-P. Tran & T.-N. Nguyen
On convergence result for a finite element scheme of Landau-Lifschitz-Gilbert equation 243
M.-P. Tran
Some results on the viscous Cahn-Hilliard equation in N 249
L.T.T. Bui & N.A. Dao
Inverse problems
On a multi-dimensional initial inverse heat problem with a time-dependent coefficient 255
C.D. Khanh & N.H. Tuan
Advanced numerical methods
A study of Boundary Element Method for 3D homogeneous Helmholtz equation
with Dirichlet boundary condition 271
M.-P. Tran & V.-K. Huynh
A study of stochastic FEM method for porous media flow problem 281
R. Blaheta, M. Béreš & S. Domesová
Parallel resolution of the Schur interface problem using the Conjugate gradient method 291
M.-P. Tran
Statistics and applied statistics
Determining results of the Phadiatop test using logistic regression and contingency
tables based on a patient’s anamnesis 303
P. Kuráňová
On the distortion risk measure using copulas 309
S. Ly, U.H. Pham & R. Briš
On the performance of sequential procedures for detecting a change,
and Information Quality (InfoQ) 317
R.S. Kenett
Two-factor hypothesis testing using the Gamma model 327
N. Pal, N.T.T. Tran & M.-P. Tran
Author index 335
vii
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Applied Mathematics in Engineering and Reliability – Briš, Snášel, Khanh & Dao (Eds)
© 2016 Taylor & Francis Group, London, ISBN 978-1-138-02928-6
Preface
ICAMER (International Conference on Applied Mathematics in Engineering and Reliability) is first
conference on this topic in Vietnam promoted by the following institutions: Ton Duc Thang University
from Ho Chi Minh City, VŠB—Technical University of Ostrava, and the European Safety and Reliability
Association (ESRA). The Conference attracts broad international community, which is a good mix of
academics and industry participants that present and discuss subjects of interest and application across
various industries.
Main theme of the Conference is “Applied Mathematics in Reliability and Engineering”. The Confer-
ence covers a number of topics within mathematics applied in reliability, risk and engineering, including
risk and reliability analysis methods, maintenance optimization, Bayesian methods, methods to solve
nonlinear differential equations, etc. The application areas range from nuclear engineering, mechanical
engineering, electrical engineering to information technology and communication, safety engineering,
finance or health. The Conference provides a forum for presentation and discussion of scientific papers
covering theory, methods and applications to a wide range of sectors and problem areas. Integral demon-
strations of the use of reliability and engineering mathematics were provided in many practical applica-
tions concerning major technological systems and structures.
The ICAMER Conference is organized for the first time in Vietnam. Ho Chi Minh City has been
selected as the venue for the Conference. Ho Chi Minh City, one of biggest cities in Vietnam, as well as in
the world, lies in the southern part of Vietnam and ranks amongst the most impressive and modern cities
in the world. The city has always played an important part in the history of the country.
The host of the conference is the Ton Duc Thang University in close cooperation with VŠB—Technical
University of Ostrava and ESRA. The Ton Duc Thang University, as well as VŠB—Technical University
of Ostrava rank among top technical universities in both countries. They develop traditional branches of
industry as metallurgy, material engineering, mechanical, electrical, civil and safety engineering, econom-
ics, computer science, automation, environmental engineering and transportation. Research and devel-
opment activities of those Universities are crucial for the restructuring process in both countries and
corresponding regions.
The program of the Conference includes around 50 papers from prestigious authors coming from
all over the world. Originally, about 72 abstracts were submitted. After the review by the Technical Pro-
gramme Committee of full papers, 40 have been selected to be included in these Proceedings. The work
and effort of the peers involved in the Technical Program Committee in helping the authors to improve
their papers are greatly appreciated.
Thanks to authors as well as reviewers for their contributions in this process. The review process has
been conducted electronically through the Conference webpage.
Finally we would like to acknowledge the local organizing committee for their careful planning of the
practical arrangements.
Radim Briš, Václav Snášel,
Chu Duc Khanh and Phan Dao
Editors
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