Strona: Research activities / Department of Complex Systems

Research activities

Time and space conditions of processing in complex systems


Implementation period: 2020

Purpose of the work: Description of phenomena and processes occurring in complex systems during processing

Scientific objective: Analysis of thermodynamic and time-space conditions of occurring processes during processing in complex systems. Description at the level of mathematical models and simulations.

The prevailing situation related to the development of the COVID-19 epidemic on a global scale has resulted in the redefinition of almost all aspects of the surrounding reality functioning. It is described in terms of thermodynamics and mathematical models by the theory of complex systems. Within this theory, there are a number of potential applications and applications of both mathematical and computational intelligence models. The task involved research aimed at the development of mathematical models (including population development, applications of complex networks in the power industry) and computational intelligence (pairwise comparison).

International cooperation has been developed,especially with: Laurentian University in Sadbury, Canada; King Abdulzaziz University, Jeddah, Saudi Arabia Kingdom, Silesian University Opava in the Czech Republic.

A measurable, documented effects of the task is a series of scientific articles published in journals indexed in WoS / SCOPUS databases and presented at international scientific conferences.


Internet of Everything (IoE) - conditions for interaction of people, processes, data and things. Advanced numerical methods in boundary problems

(contract DS.ES.19.001)

Implementation period: 2018-2019

Research objectives: Description of phenomena occurring during interactions within connections between people, processes, processed data and things, taking into account their non-extensive nature in information systems treated as complex systems with particular emphasis on security issues.

Analysis of advanced numerical methods for applications related to boundary issues.

Obtained effects:

The focus was on four important areas, of which 1-3 relate to the concept of the Internet of Everything and 4th to the problems of numerical methods.

  1. A set of IT systems was analyzed, indicating that many IT systems should be treated as complex systems. In publications and conference presentations, attention was drawn to the fact that today IT systems point to the occurrence of phenomena and processes typical for complex systems. These considerations were the basis for the submitted habilitation proceedings of PhD D. Strzałka.
  2. The research was conducted in the field of discovering business and industrial processes using various methodologies, including: BPMN, mining process, discovery process and an approach based on pairwise comparisons. In addition, very detailed analyzes of various data related to security (indicating the occurrence of many significant violations), and their anonymization, open data, smart city and gamification were also carried out to increase the effectiveness of education process.
  3. Several concepts resulting from the application of the Software Defined Network idea - a hardware and software platform enabling the creation and dynamic management of distributed IT infrastructure supporting the process of integration of industrial elements - in relation to industrial processes were developed. A new layered reference model Remote Distributed Rapid Prototyping has been proposed, enabling the development of heterogeneous, open systems for rapid prototyping in a distributed environment that refers to the Internet of Things model. The proposed solution is also a response to the needs of Industry 4.0 in the area of creating scalable, controllable and reliable platforms. Proprietary flow models and their interpretations have been proposed, showing that knowledge of company processes, traditionally encoded in workflow engines or office instructions, being dispersed, can be successfully used optimizing data flows or network structure increasing the efficiency of production processes.
  4. The acoustic boundary problem using the meshless method and in the overall approach and strong variational formulation was solved. Together with researchers from the University of Lisbon, a software ( was developed to solve selected boundary problems using direct boundary methods.


Complex systems in power electronics, power engineering and information technology. Research on energy conversion systems, including OZE. Time-space conditioning of distributed processing.

(contract U-712 / DS) *

* agreement implemented jointly with the employees of the Department of Power Electronics and Power Engineering

Implementation period: 2016-2017

Research objectives: improvement of exploitation properties and energy indicators of power electronic converters operating in load asymmetry conditions, analysis of the possibility of using dynamic lighting systems, providing variable photometric characteristics, analysis of the possibility of using specialized graphic software for computer revitalization of historical objects, polygonal results of lightning currents, clarification thermodynamic conditions of the processing process in states far from equilibrium, determining their impact on the efficiency and load of the processing system, in particular sensor networks, VoIP transmissions and systems modeling business processes, creating effective mechanisms and tools for modeling, simulation and management of distributed IT systems.

The obtained effects

The research involved problems: generation and processing of electricity from RES, use of energy in light sources (LED), improvement of electricity quality in power systems, application of new solutions for semiconductor converters connected with high speed drives and inverters controlled with supermodulation in the industry, reduction losses in transmission and processing of electricity using power electronic converters, optimization of energy supply for communal-household consumers, optimization of electric lighting (human-friendly lighting), research of the network of alternative energy sources for energy solutions in the development of cities and villages. The subject matter was an element of problems that fit into the concept of complex systems. At present, these systems are also the most important element of broadly understood computer science. There is a large number of significant technological solutions ranging from classic computer and sensor networks to cloud computing, where the performance problem is not only a matter of the computing power (throughput), but also the nature of the tasks being processed and the interaction between individual elements of the system understood as a whole. The description of phenomena occurring during processing is a significant challenge not only due to the increasing computing power, but also to the constantly changing nature of the load. This applies to technical conditions, traffic control, design of communication protocols, traffic volume modeling, and statistical analysis. The current state of knowledge shows that a full picture of the phenomena occurring in such systems requires a new approach referring to the systemic approach (currently the best). The task has been completed a number of theoretical and experimental works aimed at confirming the adopted hypotheses and verification of theoretical models. In the area of time-space conditioning research of distributed processing, phenomena occurring in networks and computer systems in the context of complex systems are described. Research in the field of complex systems is an innovative approach to the description of complex phenomena occurring in power and computer systems and networks.


Mechanisms of self-degradation in computer systems and networks

(contract U - 525 / DS)

Implementation period: 2014-2015

Research objectives: description of the problem of optimization of computer systems and networks, taking into account the mechanisms of self-adaptation and self-adaptation, which in critical conditions may lead to degradation of performance or degradation of the space-time structure. Development of a new thermodynamic structure proposition leading to the taxonomy of processing systems taking into account thermodynamic conditions.

The obtained effects

A number of research works were carried out, covering both the hardware and software layer in relation to computer systems and networks. In the first part of the task, the focus was on the implementation of a series of experiments that refer to algorithmic and interactive processing for the description of this type of processing in the context of thermodynamic conditions for non-equilibrium states. The methods were used to characterize non-extensive statistical mechanics, including: long-range relationships in time and space, statistical self-similarity analysis, anomalous diffusion, complex networks and graphs, fractional fraction calculations, complex systems.

In addition, an original application created in the LabVIEW environment was developed, with implemented algorithms for determining the Hurst coefficient, which is a measure of self-similarity and determining the long-term dependence and multifractality of network traffic. The application as a statistical apparatus to determine the characteristics of network traffic uses, among others R / S statistics methods, absolute value methods and aggregated variance.

In addition, scientific work addresses the above mentioned issues in the field of wired, wireless and sensor networks and the possible application of the approach in real conditions by implementing self-organizing algorithms of wireless communication on the prototype of a multi-node sensor field.

Conducted experiments, simulations and theoretical work were carried out in such a way that the features characteristic for modern computer systems and systems (hierarchy of executive structure, limited resources, distributed structure, indefiniteness of all external conditions and work parameters, any scale of phenomena) led to the generation of phenomena whose description and understanding is possible only in the context of complex systems and higher order phenomena.

Link load balancing algorithms were developed, evaluation and comparison of performance of selected operating systems, higher order phenomena were described in algorithmic and interactive processing (taking into account the influence of user behavior, applications, services and communication system on system performance). It was shown that time-space phenomena occurring in computer systems and networks are characterized by multifractal relationships.