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:
- Risk and Reliability Analysis Methods
- Maintenance Optimization
- Bayesian Methods
- Monte Carlo Methods for Parallel Computing of Reliability and Risk
- Advanced Mathematical Methods in Engineering
- Methods for solutions of Nonlinear Partial Differential Equations
- Statistics and Applied Statistics, etc.
The application areas range from Nuclear, Mechanical and Electrical Engineering to Information Technology and Communication, Safety Engineering, Environmental Engineering, Finance or Health and Medicine. The papers cover both theory and applications, which are focused to a wide range of sectors and problem areas. Integral demonstrations of the use of reliability and engineering mathematics are provided in many practical applications concerning major technological systems and structures.
Table of Contents:
I - Applied Mathematics in Reliability Engineering
Bayesian methods, Bayesian reliability
A conjugate prior distribution for Bayesian analysis of the Power-Law Process
V. C. Do & E. Gouno
Bayesian approach to estimate the mixture of failure rate model
R. Bris, T. T. Thach
Cost oriented statistical decision problem in acceptance sampling and quality control
R. Briš
High-dimensional simulation experiments with particle filter and ensemble Kalman filter
P. Bui Quang & V.-D. Tran
The prior probability in classifying two populations by Bayesian method
Tai V. V, Ha C. N, Thao N. T
Efficient Methods to Solve Optimization Problems
Estimation of parameters of Rikitake systems by SOMA
T.D. Nguyen, T.T.D. Phan
Clustering for probability density functions based on Genetic Algorithm
Tai V. V, Thao N. T, Ha C. N
Optimization of truss structures with reliability-based frequency constraints under uncertainties of loadings and material properties
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
Phan T.H Long, L.Q. Hung, Phan Dao
Maintenance Modelling and Optimization
A dynamic grouping model for the maintenance planning of complex structure systems with consideration of maintenance durations
H.C. Vu, A. Barros, M.A. Lundteigen & P. Do
A parametric predictive maintenance decision framework considering the system health prognosis accuracy
K.T. Huynh & A. Grall, C. Berenguer
Condition-based maintenance by minimax criteria
O. Abramov & D. Nazarov
Impact of cost uncertainty on periodic replacement policy with budget constraint: Application to water pipe renovation
Khanh T. P. Nguyen, Do T. Tran, Bang Minh 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
M. Béreš & R. Briš
Highly reliable systems simulation accelerated using CPU and GPU parallel computing
S. Domesová & R. Briš
Network and Wireless Network Reliability
Advanced protocol for wireless information and power transfer in full fuplex DF relaying networks
Xuan-Xinh Nguyen, Duy-Thanh Pham, Thu-Quyen Nguyen, Dinh-Thuan Do
A performance analysis in energy harvesting full-duplex relay
Tam Nguyen Kieu, Tuan Nguyen Hoang, Thu-Quyen T. Nguyen, Hung Ha Duy, D. T. Do, M. Vozňák
A stochastic model for performance analysis of powered wireless networks
Nhi Dang Ut, Dinh-Thuan Do
Energy harvesting in amplify-and-forward relaying systems with interference at the relay
Thanh-Luan Nguyen & Dinh-Thuan Do
On a tandem queueing network with breakdowns
A. Aissani
Risk and Hazard Analysis
Risk assessment of biogas plants
K. Derychova & A. Bernatik
Verification of the design for forced smoke and heat removal from a sports hall
P. Kučera, H. Dvorská
Stochastic Reliability Modelling, Applications of Stochastic Processes
The methods of parametric synthesis on the basis of acceptability region discrete approximation
Y. Katueva & D. Nazarov
Inference for an one-memory self-exciting point process
E. Gouno & R. Damaj
System Reliability Analysis
House events matrix for application in shutdown probabilistic safety assessment
M. Čepin
Imprecise system reliability using the survival signature
Frank P.A. Coolen, Tahani Coolen-Maturi, Louis J.M. Aslett, Gero Walter
Parallel algorithms of system availability evaluation
M. Kvassay, V. Levashenko & E. Zaitseva
II - 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 C2
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
D. N. Anh, K. H. Van, J. I. Dıaz
A spectral decomposition in vector spherical harmonics for Stokes equations
M.-P. Tran, T.-N. Nguyen
On convergence result for a finite element scheme of Landau-Lifschitz-Gilbert equation
M.-P. Tran
Some results on the viscous Cahn-Hilliard equation in RN
L. T. T. Bui, N. A. Dao
Inverse Problems
On a multi-dimensional initial inverse heat problem with a time-dependent coefficient
C.D. Khanh, N.H. Tuan
Advanced Numerical Methods
A study of Boundary Element Method for 3D homogeneous Helmholtz equation with Dirichlet boundary condition
M.-P. Tran & V.-K. Huynh
A study of stochastic FEM method for porous media flow problem
R. Blaheta, M. Béreš & S. Domesová
Parallel resolution of the Schur interface problem using the Conjugate gradient method
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
P. Kuráňová
On the distortion risk measure using copulas
S. Ly, U. H. Pham, R. Bris
On the Performance of Sequential Procedures for Detecting a Change, and Information Quality (InfoQ)
Ron S. Kenett
Two-Factor Hypothesis Testing Using the Gamma Model
Nabendu Pal, Nuong Thi Thuy Tran & Minh-Phuong Tran
