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Exact first passage time distribution for nonlinear chemical reaction networks II: monomolecular reactions and a A + B → C type of second-order reaction with arbitrary initial conditions

arXiv

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arXiv 2025年

作者： Rao, Changqian Waxman, David Lin, Wei Song, Zhuoyi School of Mathematical Sciences Fudan University Shanghai200433 China Research Institute of Intelligent Complex Systems Fudan University Shanghai200433 China Institute of Science and Technology for Brain-Inspired Intelligence Fudan University Shanghai200433 China Key Laboratory of Computational Neuroscience and Brain-Inspired Intelligence [Fudan University Ministry of Education China MOE Frontiers Center for Brain Science Fudan University Shanghai200433 China Zhangjiang Fudan International Innovation Center Shanghai China

In biochemical reaction networks, the first passage time (FPT) of a reaction quantifies the time it takes for the reaction to first occur, from the initial state. While the mean FPT historically served as a summary metric, a far more comprehensive characterization of the dynamics of the network is contained within the complete FPT distribution. The relatively uncommon theoretical treatments of the FPT distribution that have been given in the past have been confined to linear systems, with zero and first-order processes. Recently, we presented theoretically exact solutions for the FPT distribution, within nonlinear systems involving two-particle collisions, such as A+B → C. Although this research yielded invaluable results, it was based upon the assumption of initial conditions in the form of a Poisson distribution. This somewhat restricts its relevance to real-world biochemical systems, which frequently display intricate behaviour and initial conditions that are non-Poisson in nature. Our current study extends prior analyses to accommodate arbitrary initial conditions, thereby expanding the applicability of our theoretical framework and providing a more adaptable tool for capturing the dynamics of biochemical reaction networks. © 2025, CC BY.

关键词： Poisson distribution

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Research and application of conflict detection technology in machinery collaborative design

Research and application of conflict detection technology in...

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International Conference on Computer Supported Cooperative Work in Design

作者： Chen, Hanmei Guo, Yinzhang Complex Systems and Computational Intelligence Laboratory Taiyuan University of Science and Technology Taiyuan 030024 China

ISBN: (纸本)9781424467631

In mechanical product collaborative design to solve the problem of conflict detection, classification and resolution, in which a method of detecting conflict based on constraint satisfaction techniques were studied, Constraint network was established and interval propagation algorithms was proposed to solve constraint satisfaction problems. The storage and representation of design constraints and interval propagation process were discussed in detail in the collaborative design process. Based on theoretical study, a Constraint - Based Conflict Detection prototype combined with examples of excavator product design was developed. © 2010 IEEE.

关键词： Constraint satisfaction problems

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Multi-layers process modeling for complex machinery products collaborative design

Multi-layers process modeling for complex machinery products...

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International Conference on Computer Supported Cooperative Work in Design

作者： Guo, Yin-Zhang Zeng, Jian-Chao Complex Systems and Computational Intelligence Laboratory Taiyuan University of Science and Technology Shanxi Taiyuan 030024 China

ISBN: (纸本)9781424467631

Collaborative model and process model for complex machinery products collaborative design are studied in this paper. The authors propose a layer collaborative model, which is used to describe the layer collaborative process in complex machinery design firstly. It contains design layer dimension, design objective dimension, design cycle/period dimension and design constraint dimension. The model is described by state-space method and built up by object layer dividing strategy. Then the authors present a process model for collaborative design and definite it in formalization, which is used to describe design process of each layer in collaborative model. At the same time activity type, activity state, activity operation and activity process in collaborative design are analyzed. It affords information basis to organize complex machinery products collaborative design orderly on web by building the multi-layer collaborative model. © 2010 IEEE.

关键词： State space methods

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A pigeon-inspired optimization algorithm for many-objective optimization problems

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Science China(Information Sciences) 2019年第7期62卷 131-138页

作者： Zhihua CUI Jiangjiang ZHANG Yechuang WANG Yang CAO Xingjuan CAI Wensheng ZHANG Jinjun CHEN Complex System and Computational Intelligence Laboratory Taiyuan University of Science and Technology Beijing Institute of Petrochemical Technology Faculty of Information Technology Beijing University of Technology State Key Laboratory of Intelligent Control and Management of Complex Systems Institute of Automation Chinese Academy of Sciences School of Software University of Technology Sydney

Dear editor,Swarm intelligence optimization algorithms are inspired by the behaviour of biological groups in nature. Such algorithms have the advantages of a clear structure, simple operation, comprehensible principles, strong parallelism, effective search abilities, and strong robustness. They can effectively solve difficult problems that traditional methods cannot. Pigeon-inspired optimization (PIO), a novel biomimetic swarm intelligence optimization algorithm, was proposed by Duan and Qiao in

关键词： A pigeon-inspired optimization algorithm for many-objective optimization problems Pareto

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Parallel Driving in CPSS:A Unified Approach for Transport Automation and Vehicle intelligence

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IEEE/CAA Journal of Automatica Sinica 2017年第4期4卷 577-587页

作者： Fei-Yue Wang Nan-Ning Zheng Dongpu Cao Clara Marina Martinez Li Li Teng Liu IEEE State Key Laboratory of Management and Control for Complex Systems Institute of AutomationChinese Academy of Sciences Research Center for Military Computational Experiments and Parallel Systems Technology National University of Defense Technology Institute of Artificial Intelligence and Robotics Xi’an Jiaotong University Advanced Vehicle Engineering Center Cranfield University Department of Automation Tsinghua University State Key Laboratory of Management and Control for Complex Systems Institute of AutomationChinese Academy of Sciences Qingdao Huituo Intelligent Machine Company

The emerging development of connected and automated vehicles imposes a significant challenge on current vehicle control and transportation systems. This paper proposes a novel unified approach, Parallel Driving, a cloud-based cyberphysical-social systems(CPSS) framework aiming at synergizing connected automated driving. This study first introduces the CPSS and ACP-based intelligent machine systems. Then the parallel driving is proposed in the cyber-physical-social space,considering interactions among vehicles, human drivers, and information. Within the framework, parallel testing, parallel learning and parallel reinforcement learning are developed and concisely reviewed. Development on intelligent horizon(iHorizon)and its applications are also presented towards parallel *** proposed parallel driving offers an ample solution for achieving a smooth, safe and efficient cooperation among connected automated vehicles with different levels of automation in future road transportation systems.

关键词： ACP theory connected automated driving cyber-physical-social systems(CPSS) iHorizon parallel driving parallel horizon parallel learning parallel reinforcement learning parallel testing

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Parallel Learning:a Perspective and a Framework

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IEEE/CAA Journal of Automatica Sinica 2017年第3期4卷 389-395页

作者： Li Li Yilun Lin Nanning Zheng Fei-Yue Wang Department of Automation TNListTsinghua University IEEE State Key Laboratory of Management and Control for Complex Systems Institute of AutomationChinese Academy of Sciences University of Chinese Academy of Sciences Institute of Artificial Intelligence and Robotics(IAIR) Xi'an Jiaotong University Research Center for Computational Experiments and Parallel Systems Technology National University of Defense Technology

The development of machine learning in complex system is hindered by two problems *** first problem is the inefficiency of exploration in state and action space,which leads to the data-hungry of some state-of-art data-driven *** second problem is the lack of a general theory which can be used to analyze and implement a complex learning *** this paper,we proposed a general methods that can address both two *** combine the concepts of descriptive learning,predictive learning,and prescriptive learning into a uniform framework,so as to build a parallel system allowing learning system improved by *** a new perspective of data,knowledge and action,we provide a new methodology called parallel learning to design machine learning system for real-world problems.

关键词： Descriptive learning machine learning parallel learning parallel systems predictive learning prescriptive learning

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Parallel MUS extraction

Parallel MUS extraction

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16th International Conference on Theory and Applications of Satisfiability Testing, SAT 2013

作者： Belov, Anton Manthey, Norbert Marques-Silva, Joao Complex and Adaptive Systems Laboratory University College Dublin Ireland Institute of Artificial Intelligence Technische Universität Dresden Germany IST/INESC-ID Technical University of Lisbon Portugal

ISBN: (纸本)9783642390708

Parallelization is a natural direction towards the improvements in the scalability of algorithms for the computation of Minimally Unsatisfiable Subformulas (MUSes), and group-MUSes, of CNF formulas. In this paper we propose and analyze a number of approaches to parallel MUS computation. Just as it is the case with the parallel CDCL-based SAT solving, the communication, i.e. the exchange of learned clauses between the solvers running in parallel, emerges as an important component of parallel MUS extraction algorithms. However, in the context of MUS computation the communication might be unsound. We argue that the assumption-based approach to the incremental CDCL-based SAT solving is the key enabling technology for effective sound communication in the context of parallel MUS extraction, and show that fully unrestricted communication is possible in this setting. Furthermore, we propose a number of techniques to improve the quality of communication, as well as the quality of job distribution in the parallel MUS extractor. We evaluate the proposed techniques empirically on industrially-relevant instances of both plain and group MUS problems, and demonstrate significant (up to an order of magnitude) improvements due to the parallelization. © 2013 Springer-Verlag.

关键词： Extraction

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Fuzzy and comprehensive evaluation for collaborative design scheme of products with multi-objectives and multi-layers

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International Journal of Advancements in Computing Technology 2012年第15期4卷 131-139页

作者： Guo, Yin-zhang Complex Systems and Computational Intelligence Laboratory Taiyuan University of Science and Technology Taiyuan Shanxi 030024 China

A fuzzy and comprehensive model and its algorithm fitting mechanical products collaborative design process with multi-objectives and multi-layers are presented in this paper to solve the problem of comprehensive evaluation and decision-making for stage original design schemes and system general design scheme during products collaborative design process. Then the evaluation strategy of key objective factor is adopted to evaluate multiple initial schemes formed by basic design units, which are evaluated by calculating the vector matrix of membership degree between evaluated characteristic values of multiple initial schemes and the evaluation indices. Thirdly, the vector matrix of membership degree between evaluation characteristic values of experts and evaluation rank is calculated by the comprehensive weighted strategy for multi-objective and the algorithm of generalized Minkowski distance. In addition, the general prepared scheme set formed with multiple initial schemes is evaluated by the membership degree vector matrix mentioned above. Finally, the proposed approach is shown to be effective by the instance of evaluation and decision-making of a collaborative design scheme for gearbox.

关键词： Decision making

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Research and application of conflict detection technology in machinery collaborative design

Research and application of conflict detection technology in...

引用

International Conference on Computer Supported Cooperative Work in Design

作者： Hanmei Chen Yinzhang Guo Complex Systems and Computational Intelligence Laboratory Taiyuan University of Science and Technology Taiyuan China

In mechanical product collaborative design to solve the problem of conflict detection, classification and resolution, in which a method of detecting conflict based on constraint satisfaction techniques were studied, Constraint network was established and interval propagation algorithms was proposed to solve constraint satisfaction problems. The storage and representation of design constraints and interval propagation process were discussed in detail in the collaborative design process. Based on theoretical study, a Constraint — Based Conflict Detection prototype combined with examples of excavator product design was developed.

关键词： Machinery Collaboration Collaborative work Product design Process design Prototypes Product development computational intelligence Laboratories Mechanical products

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Decision-making and controlling for products collaborative design implement process based on fuzzy Petri net

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Procedia Engineering 2011年 15卷 3032-3040页

作者： Yin-zhang Guo Jian-chao Zeng Complex Systems and Computational Intelligence Laboratory Taiyuan University of Science and Technology Taiyuan Shanxi P.R. China 030024

In order to solve the controlling problems with multiple design tasks and uncertain dynamic design process, a model of manufacture collaborative design process based on process control Petri nets is proposed by introducing decision rules information place and decision transmission. Fuzzy Petri net theory is adopted to descript fuzzy logic and knowledge expression appearing in the collaborative design process control. Synchronously, deducing knowledge-base with rules for collaborative design is built up. Two parameters are set: deterministic factor is used to express confidence degree of fuzzy rules while reliability value is used to express the reliability degree of storing proposition in decision information place. In addition, the implementation process for manufacture collaborative design is fuzzily deducted by FPN algorithm. According to the deduction result, the implementation flow of collaborative design process is decided. Finally, the presented approach is tested to be validity by control instance of driving system for chain conveyor in collaborative design process.

关键词： Fuzzy Petri Net Collaborative design process control knowledge express fuzzy deduction

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