Abstract
The paper aims to present modelling the sensor network operation based on the Potts model. The authors presented own approach based on three states in which each node can be. The change in the state of a given node depends on its current state, the impact of surrounding nodes on it, but also values of the parameters measured. Therefore, the Hamiltonian was introduced as a dependence of both exceeding the limit value of a measured parameter (corresponding to an alarm event), and the state of the battery powering a given node of a sensor. The simulations of the implemented algorithm based on the adopted model presented in the paper relate to the measurement of temperature by a network of sensors. However, this model is universal and can be applied to examine the behaviour of the sensor infrastructure performing various measurements. Moreover, it may simulate the functioning of the critical network infrastructure or sensor networks and industrial sensors supporting the functioning of Industry 4.0.
Highlights
Sensor networks are a very important element of the modern Internet of Things (IoT) infrastructure in the civil, military and industrial area [1,2,3,4,5,6,7,8,9,10]
Sensor network systems should be considered in terms of complex systems theory due to their multifaceted nature [11,12,13]
The Ising model, as well as its development in the form of the Potts model, are perfect for modelling dynamic systems in which the state of individual node may change as a result of the influence of external and internal factors
Summary
Sensor networks are a very important element of the modern IoT infrastructure in the civil, military and industrial area [1,2,3,4,5,6,7,8,9,10]. A more complex implementation of the concept of Industry 4.0, the development of the Internet of Everything (IoE) and the Internet of Things (IoT) will not be possible without expansion and modernization of i.e., sensor network infrastructure It includes such elements as sensors, measurement and communication technologies, application and data analysis layer, etc. The Ising model, as well as its development in the form of the Potts model, are perfect for modelling dynamic systems in which the state of individual node may change as a result of the influence of external and internal factors Examples of such systems are sensor networks, in which changes may occur sporadically, periodically or permanently.
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