Methods of Mathematical Modelling and Computation for Complex Systems

2022 ◽  
1995 ◽  
Vol 79 (484) ◽  
pp. 246
Author(s):  
Ll. G. Chambers ◽  
K. Arczewski ◽  
J. Pietrucha

Computation ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 64
Author(s):  
Shengkun Xie ◽  
Anna T. Lawniczak ◽  
Junlin Hao

A lot of effort has been devoted to mathematical modelling and simulation of complex systems for a better understanding of their dynamics and control. Modelling and analysis of computer simulations outcomes are also important aspects of studying the behaviour of complex systems. It often involves the use of both traditional and modern statistical approaches, including multiple linear regression, generalized linear model and non-linear regression models such as artificial neural networks. In this work, we first conduct a simulation study of the agents’ decisions learning to cross a cellular automaton based highway and then, we model the simulation data using artificial neural networks. Our research shows that artificial neural networks are capable of capturing the functional relationships between input and output variables of our simulation experiments, and they outperform the classical modelling approaches. The variable importance measure techniques can consistently identify the most dominant factors that affect the response variables, which help us to better understand how the decision-making by the autonomous agents is affected by the input factors. The significance of this work is in extending the investigations of complex systems from mathematical modelling and computer simulations to the analysis and modelling of the data obtained from the simulations using advanced statistical models.


Transport ◽  
2016 ◽  
Vol 33 (2) ◽  
pp. 315-321
Author(s):  
David Eaton ◽  
Seyyit Umit Dikmen ◽  
Rıfat Akbiyikli

The methodology developed in this study presents an approach to the concurrent evaluation of Risk Management (RM) effectiveness during project execution. The method proposed is an adaptation of an approach developed and advocated by Khlebopros et al. (2007) for the mathematical modelling of complex systems, namely the analysis and effects of natural catastrophes. Hence, the method utilizes a phase portrait approach to identify the Prime Cost (PC) of RM of a project. Furthermore, the method provides an approach for comparing the individual identified risks with this PC, and subsequently highlighting a way of classifying and prioritising risks into a rank order for RM attention. The MERA (Multiple Estimating Risk Analysis) approach was utilized for the quantification of risk impact and ultimately the creation of the phase portrait. Besides being accurate and intuitively understandable, the methodology is relatively simple to implement and provides a rapid visualisation of the overall risk extent of a project.


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