Explanatory frameworks in complex change and resilience system modelling

IF 0.6 4区 数学 Q2 LOGIC Logic Journal of the IGPL Pub Date : 2024-09-07 DOI:10.1093/jigpal/jzae087
Mark Addis, Claudia Eckert
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Abstract

Heterogenous flows across system boundaries continue to pose significant problems for efficient resource allocation especially with respect to long term strategic planning and immediate problems about allocation to address particular resource shortages. The approach taken here to modelling such flows is an engineering change prediction one. This enables margin modelling by producing system models in dependency matrices with different linkage types. Change prediction approaches from engineering design can analyse where these bottlenecks in integrated systems would be so that resources can be deployed flexibility to avoid them and address them when they occur. Current state of the art of margin research can be furthered by identifying margins on multiple levels of system composition. It can usefully be complemented by a category theory based approach which allows representation of variable and constant properties of models under changing conditions, and the identification of flows within models. Category theory is useful for formalising such explanatory frameworks as it can both structure systems and permit analysis of their applications in a complementary way.
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复杂变化和复原力系统建模的解释框架
跨越系统边界的异质流动继续给有效的资源分配带来重大问题,特别是在长期战略规划和解决特定资源短缺的即时分配问题方面。本文采用工程变化预测方法来模拟这种流动。这种方法通过在具有不同关联类型的依赖矩阵中生成系统模型,从而建立裕度模型。工程设计中的变化预测方法可以分析综合系统中的瓶颈所在,从而灵活调配资源,避免瓶颈出现,并在瓶颈出现时加以解决。通过确定系统组成的多个层面的边际值,可以进一步推动当前的边际值研究。以类别理论为基础的方法可以有效地对其进行补充,这种方法可以表示模型在变化条件下的可变和不变属性,并识别模型内部的流动。类别理论有助于将这种解释框架正规化,因为它既能构建系统,又能以互补的方式对其应用进行分析。
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来源期刊
CiteScore
2.60
自引率
10.00%
发文量
76
审稿时长
6-12 weeks
期刊介绍: Logic Journal of the IGPL publishes papers in all areas of pure and applied logic, including pure logical systems, proof theory, model theory, recursion theory, type theory, nonclassical logics, nonmonotonic logic, numerical and uncertainty reasoning, logic and AI, foundations of logic programming, logic and computation, logic and language, and logic engineering. Logic Journal of the IGPL is published under licence from Professor Dov Gabbay as owner of the journal.
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