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HOW TO RANDOMLY GENERATE MASS FUNCTIONS

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS 2013年第5期21卷 645-673页

作者： Burger, Thomas Destercke, Sebastien UJF CEA Grenoble Lab Biol Grande Echelle iRTSV FR3425CNRSCEAINSERMiRTSV F-38054 Grenoble 9 France Univ Technol Compiegne CNRS Heudiasyc UMR 7253 Ctr Rech Royallieu F-60205 Compiegne France

As Dempster-Shafer theory spreads in different application fields, and as mass functions are involved in more and more complex systems, the need for algorithms randomly generating mass functions arises. Such algorithms can be used, for instance, to evaluate some statistical properties or to simulate the uncertainty in some systems (e.g., data base content, training sets). As such random generation is often perceived as secondary, most of the proposed algorithms use straightforward procedures whose sample statistical properties can be difficult to characterize. Thus, although such algorithms produce randomly generated mass functions, they do not always produce what could be expected from them (for example, uniform sampling in the set of all possible mass functions). In this paper, we briefly review some well-known algorithms, explaining why their statistical properties are hard to characterize. We then provide relatively simple algorithms and procedures to perform efficient random generation of mass functions whose sampling properties are controlled.

关键词： Dempster-Shafer theory simulation algorithm random generation

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Analyzing and Improving the Parameterization Quality of Catmull-Clark Solids for Isogeometric Analysis

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IEEE COMPUTER GRAPHICS AND APPLICATIONS 2021年第3期41卷 34-47页

作者： Altenhofen, Christian Ewald, Tobias Stork, Andre Fellner, Dieter W. Fraunhofer Inst Comp Graph Res IGD D-64283 Darmstadt Germany Fraunhofer Inst Comp Graph Res IGD Competence Ctr Interact Engn Technol D-64283 Darmstadt Germany Tech Univ Darmstadt D-64289 Darmstadt Germany Tech Univ Darmstadt Comp Sci D-64289 Darmstadt Germany Graz Univ Technol A-8010 Graz Austria

In the field of physically based simulation, high quality of the simulation model is crucial for the correctness of the simulation results and the performance of the simulation algorithm. When working with spline or subdivision models in the context of isogeometric analysis, the quality of the parameterization has to be considered in addition to the geometric quality of the control mesh. Following Cohen et al.'s concept of model quality in addition to mesh quality, we present a parameterization quality metric tailored for Catmull-Clark (CC) solids. It measures the quality of the limit volume based on a quality measure for conformal mappings, revealing local distortions and singularities. We present topological operations that resolve these singularities by splitting certain types of boundary cells that typically occur in interactively designed CC-solid models. The improved models provide higher parameterization quality that positively affects the simulation results without additional computational costs for the solver.

关键词： Computational Geometry Mesh Generation Splines Mathematics Computational Costs Parameterization Quality CC Solid Models Singularities Local Distortions Quality Measure Parameterization Quality Metric Model Quality Control Mesh Geometric Quality Spline simulation algorithm Isogeometric Analysis Catmull Clark Solids Splines Mathematics Solid Modeling Computational Modeling Distortion Measurement Jacobian Matrices Subdivision Solids Isogeometric Analysis Parametrization Quality Mesh Quality

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Validation of two algorithms to evaluate the interface between bone and orthopaedic implants

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COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2004年第2期74卷 143-150页

作者： Testi, D Simeoni, M Zannoni, C Viceconti, M Ist Ortoped Rizzoli Lab Tecnol Med I-40136 Bologna Italy CINECA Casalecchio Di Reno Bo Italy

The level of fit and fill of the prosthetic stem in the femoral canal is an important parameter when planning a cementless total hip arthroplasty. However, the standard templates used in combination with radiographs are not always effective in-operative evaluation of the level. of fitting. For this reason, two algorithms the pre-operative were developed able to provide clinically relevant three-dimensional indicators of the implant fit and fill in the host femur, based on the CT data of each specific patient as collected in vivo. In this study the computational methods were described and validated using digital phantom datasets. Then the algorithms were applied for in vivo datasets and the sensitivity of each indicator was evaluated. The validation showed that the two algorithms are accurate from a computational point of view. Moreover, the in vivo testing demonstrated that the developed methods provide reasonable quantitative indicators of the stem positioning in the femoral. CT dataset. (C) 2003 Elsevier Ireland Ltd. All rights reserved.

关键词： hip prosthesis simulation algorithm fit and fill

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Modeling of a SOFC-HT battery hybrid system for optimal design of off-grid base transceiver station

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INTERNATIONAL JOURNAL OF HYDROGEN ENERGY 2017年第46期42卷 27962-27978页

作者： Brunaccini, G. Sergi, F. Aloisio, D. Ferraro, M. Blesznowski, M. Kupecki, J. Motylinski, K. Antonucci, V. Natl Res Council Italy Inst Adv Energy Technol Nicola Giordano Salita S Lucia Contesse 5 I-98126 Messina Italy Inst Power Engn Dept High Temp Electrochem Proc Augustowka 36 PL-02981 Warsaw Poland

This work aims at the development of a simulation tool to optimize the design of a hybrid fuel cell/battery system to supply ICT equipment. In the framework of the ONSITE European project, which deals with a hybrid (fuel cell and batteries) RBS (Radio Base Stations) supply system, a modeling activity is carried out to optimize the system operations. The developed algorithms separately implement a Solid Oxide Fuel Cell system and a high temperature Sodium Nickel Chloride battery for design purpose and collect them in a unique model for devices interaction (i.e. power production, storage, and control). Moreover, a Computational Fluid Dynamics battery model is developed to analyse the heat transfer while the SOFC stack generates excessive heat during operation and outlet hot gases can be effectively used. Since the SNC batteries need heat during charging process (to maintain their operating temperature) and, conversely, the reactions are exothermic in discharge mode, the described approach aims at combining SNC batteries with micro-CHP unit to optimize the energy flows. The implementation requires several alternative designs and variant analysis to secure proper operation of battery and power generation unit. The model developed and shown in this paper is a dedicated tool for the simulation of the hybrid system proposed and for the optimal designing of each main sub component. (C) 2017 Hydrogen Energy Publications LLC. Published by Elsevier Ltd. All rights reserved.

关键词： simulation algorithm Numeric design tool Hybrid power generation systems SOFC High temperature batteries Telecommunications equipment applications

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A new algorithm for design, operation and cost assessment of struvite (MgNH₄PO₄) precipitation processes

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ENVIRONMENTAL TECHNOLOGY 2015年第15期36卷 1892-1901页

作者： Birnhack, Liat Nir, Oded Telzhenski, Marina Lahav, Ori Technion Israel Inst Technol Fac Civil & Environm Engn IL-32000 Haifa Israel

Deliberate struvite (MgNH4PO4) precipitation from wastewater streams has been the topic of extensive research in the last two decades and is expected to gather worldwide momentum in the near future as a P-reuse technique. A wide range of operational alternatives has been reported for struvite precipitation, including the application of various Mg(II) sources, two pH elevation techniques and several Mg:P ratios and pH values. The choice of each operational parameter within the struvite precipitation process affects process efficiency, the overall cost and also the choice of other operational parameters. Thus, a comprehensive simulation program that takes all these parameters into account is essential for process design. This paper introduces a systematic decision-supporting tool which accepts a wide range of possible operational parameters, including unconventional Mg(II) sources (i.e. seawater and seawater nanofiltration brines). The study is supplied with a free-of-charge computerized tool ( [GRAPHICS] ) which links two computer platforms (Python and PHREEQC) for executing thermodynamic calculations according to predefined kinetic considerations. The model can be (inter alia) used for optimizing the struvite-fluidized bed reactor process operation with respect to P removal efficiency, struvite purity and economic feasibility of the chosen alternative. The paper describes the algorithm and its underlying assumptions, and shows results (i.e. effluent water quality, cost breakdown and P removal efficiency) of several case studies consisting of typical wastewaters treated at various operational conditions.

关键词： simulation algorithm phosphorous removal operational conditions cost assessment struvite recovery

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The generalized Birnbaum-Saunders distribution and its theory, methodology, and application

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COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 2008年第5期37卷 645-670页

作者： Sanhueza, Antonio Leiva, Victor Balakrishnan, N. Univ Valparaiso Dept Estadist Valparaiso 5030 Chile McMaster Univ Dept Math & Stat Hamilton ON Canada Univ La Frontera Dept Matemat & Estadist Temuco Chile

In this paper, we discuss the class of generalized Birnbaum-Saunders distributions, which is a very flexible family suitable for modeling lifetime data as it allows for different degrees of kurtosis and asymmetry and unimodality as well as bimodality. We describe the theoretical developments on this model including properties, transformations and related distributions, lifetime analysis, and shape analysis. We also discuss methods of inference based on uncensored and censored data, diagnostics methods, goodness-of-fit tests, and random number generation algorithms for the generalized Birnbaum-Saunders model. Finally, we present some illustrative examples and show that this distribution fits the data better than the classical Birnbaum-Saunders model.

关键词： censored data goodness-of-fit inference and diagnostics lifetime analysis robustness simulation algorithm

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Effective numerical algorithm for fiber amplifiers

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OPTICAL ENGINEERING 2005年第3期44卷 035001-1-035001页

作者： Liu, XM Tsinghua Univ Dept Elect Engn Beijing 100084 Peoples R China Inst Infocomm Res Unit 230 Innovat Ctr Singapore 637723 Singapore

Based on the Dormand-Prince (DP) formula, a fast and effective method is proposed, which can implement automatic step-size adjustment to solve the model equations of fiber Raman amplifiers and erbium-doped fiber amplifiers (EDFAs). Numerical results show that (1) the CPU time of the proposed method is about 4.2 times smaller than that of the DIP method when the Raman amplifier propagation equations are solved;(2) our method reduces the running time by more than two orders of magnitude in comparison with the classical fourth-order Runge-Kutta method;(3) in comparison with the DP method, the proposed method can increase the computational speed by about 2.5 times in solving the model equations of EDFAs. (c) 2005 Society of Photo-Optical Instrumentation Engineers.

关键词： Raman amplifier EDFA simulation algorithm Runge-Kutta Dormand-Prince method

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An efficient stochastic algorithm for studying coagulation dynamics and gelation phenomena

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SIAM JOURNAL ON SCIENTIFIC COMPUTING 2000年第3期22卷 802-821页

作者： Eibeck, A Wagner, W Weierstrass Inst Appl Anal & Stochast D-10117 Berlin Germany

A new class of efficient stochastic algorithms for the numerical treatment of coagulation processes is proposed. The algorithms are based on the introduction of fictitious jumps combined with an acceptance-rejection technique for distributions depending on particle size. The increased efficiency is demonstrated by numerical experiments. In particular, gelation phenomena are studied.

关键词： coagulation equation stochastic particle method simulation algorithm gelation phenomena

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A reliability analysis of fuel supply for district heating systems based on statistical test method

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ENERGY REPORTS 2022年 8卷 304-311页

作者： Postnikov, Ivan Mednikova, Ekaterina Russian Acad Sci ESI SB RAS Siberian Branch Melentiev Energy Syst Inst Lermontov St 130 Irkutsk 664033 Russia

Relevant problem of the reliability of fuel supply to heat sources operating in district heating systems is considered. A methodical approach is proposed for assessing possible shortages of fuel in the fuel supply system, based on the statistical test or the Monte Carlo method using initial statistical data on fuel demand and supply. An algorithm for assessing the reliability of the fuel supply system is developed, accounting various modeling conditions, in particular, the formation of current fuel reserves and the interchangeability of fuels between heat sources. A number of computational experiments have been carried out, and some of the results obtained are presented. Conclusions and directions for further research are formulated. (C) 2022 The Author(s). Published by Elsevier Ltd.

关键词： Fuel supply system Heat sources Fuel shortages Reliability analysis Statistical methods Monte Carlo method simulation algorithm

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A general stochastic model for studying time evolution of transition networks

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PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 2016年第0期464卷 198-210页

作者： Zhan, Choujun Tse, Chi K. Small, Michael Sun Yat Sen Univ Nanfang Coll Dept Elect Commun & Software Engn Guangzhou 510970 Guangdong Peoples R China Hong Kong Polytech Univ Dept Elect & Informat Engn Hunghom Hong Kong Peoples R China Univ Western Australia Sch Math & Stat Crawley WA 6009 Australia

We consider a class of complex networks whose nodes assume one of several possible states at any time and may change their states from time to time. Such networks represent practical networks of rumor spreading, disease spreading, language evolution, and so on. Here, we derive a model describing the dynamics of this kind of network and a simulation algorithm for studying the network evolutionary behavior. This model, derived at a microscopic level, can reveal the transition dynamics of every node. A numerical simulation is taken as an "experiment" or "realization" of the model. We use this model to study the disease propagation dynamics in four different prototypical networks, namely, the regular nearest-neighbor (RN) network, the classical Erdos-Renyi (ER) random graph, the Watts-Strogatz small-world (SW) network, and the Barabasi-Albert (BA) scalefree network. We find that the disease propagation dynamics in these four networks generally have different properties but they do share some common features. Furthermore, we utilize the transition network model to predict user growth in the Facebook network. simulation shows that our model agrees with the historical data. The study can provide a useful tool for a more thorough understanding of the dynamics networks. (C) 2016 Elsevier B.V. All rights reserved.

关键词： Dynamic complex network Stochastic process model simulation algorithm

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