Applied mathematics in engineering and reliability : 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 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 Relia Front Cover 1 Table of contents 6 Preface 10 Organization 12 Message from Professor Vinh Danh Le 14 Introduction 16 Applied mathematics in reliability engineering: Bayesian methods, Bayesian reliability 18 A conjugate prior distribution for Bayesian analysis of the Power-Law Process 20 Bayesian approach to estimate the mixture of failure rate model 26 Cost oriented statistical decision problem in acceptance sampling and quality control 36 High-dimensional simulation experiments with particle filter and ensemble Kalman filter 44 The Prior Probability in classifying two populations by Bayesian method 52 Efficient methods to solve optimization problems 58 Estimation of parameters of Rikitake systems by SOMA 60 Clustering for probability density functions based on Genetic Algorithm 68 Optimization of truss structures with reliability-based frequency constraints under uncertainties of loadings and material properties 76 Optimum revenue calculation method to generate competitive hydroelectric power on Hua Na hydropower 84 Maintenance modelling and optimization 88 A dynamic grouping model for the maintenance planning of complex structure systems with consideration of maintenance durations 90 A parametric predictive maintenance decision framework considering the system health prognosis accuracy 98 Condition-based maintenance by minimax criteria 108 Impact of cost uncertainty on periodic replacement policy with budget constraint: Application to water pipe renovation 112 Monte Carlo methods for parallel computing of reliability and risk 122 Acceleration of multi-factor Merton model Monte Carlo simulation via Importance Sampling and GPU parallelization 124 Highly reliable systems simulation accelerated using CPU and GPU parallel computing 136 Network and wireless network reliability 148 Advanced protocol for wireless information and power transfer in full duplex DF relaying networks 150 A performance analysis in energy harvesting full-duplex relay 156 A stochastic model for performance analysis of powered wireless networks 162 Energy harvesting in amplify-and-forward relaying systems with interference at the relay 170 On a tandem queueing network with breakdowns 176 Risk and hazard analysis 184 Risk assessment of biogas plants 186 Verification of the design for forced smoke and heat removal from a sports hall 194 Stochastic reliability modelling, applications of stochastic processes 202 The methods of parametric synthesis on the basis of acceptability region discrete approximation 204 Inference for a one-memory Self-Exciting Point Process 210 System reliability analysis 216 House events matrix for application in shutdown probabilistic safety assessment 218 Imprecise system reliability using the survival signature 224 Parallel algorithms of system availability evaluation 232 Advanced mathematical methods for engineering: Advanced methods to solve partial differential equations 240 A note on the Cauchy-Riemann equation on a class of convex domains of finite and infinite type in C2 242 A review on global and non-global existence of solutions of source types of degenerate parabolic equations with a singular absorption: Complete quenching phenomenon 248 A spectral decomposition in vector spherical harmonics for Stokes equations 254 On convergence result for a finite element scheme of Landau-LifschitzGilbert equation 260 Some results on the viscous Cahn-Hilliard equation in RN 266 Inverse problems 270 On a multi-dimensional initial inverse heat problem with a time-dependent coefficient 272 Advanced numerical methods 286 A study of Boundary Element Method for 3D homogeneous Helmholtz equation with Dirichlet boundary condition 288 A study of stochastic FEM method for porous media flow problem 298 Parallel resolution of the Schur interface problem using the Conjugate gradient method 308 Statistics and applied statistics 318 Determining results of the Phadiatop test using logistic regression and contingency tables based on a patient’s anamnesis 320 On the distortion risk measure using copulas 326 On the performance of sequential procedures for detecting a change, and Information Quality (InfoQ) 334 Two-factor hypothesis testing using the Gamma model 344 Author index 352 Back Cover 354 Advanced mathematical methods for engineering: Advanced methods to solve partial differential equations -- Inverse problems -- Advanced numerical methods -- Statistics and applied statistics -- Author index -- Back Cover -- A conjugate prior distribution for Bayesian analysis of the Power-Law Process -- Bayesian approach to estimate the mixture of failure rate model -- Cost oriented statistical decision problem in acceptance sampling and quality control -- High-dimensional simulation experiments with particle filter and ensemble Kalman filter The book covers topics within mathematics applied in reliability, risk and engineering, and will be of interest to academics and professionals working in a wide range of industrial, governmental and academic sectors, from Electrical and Electronic Engineering, via Energy Production and Infrastructures, to Nuclear Engineering and Policy Making.