2020
DOI: 10.3390/s20236979
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Responsiveness of the Sensor Network to Alarm Events Based on the Potts Model

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 powerin… Show more

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Cited by 7 publications
(3 citation statements)
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“…Furthermore, Zhang's results agree with some experimental results, which are carefully performed with high accuracy (see in [31], for instance). After its publication [3], Zhang's conjectured solution has received supports from several groups, for instance, March and his co-workers [32][33][34][35][36], Ławrynowicz and some mathematicians [6,7,37,38], Kaupuzs and his colleagues [30,39,40], and others [41][42][43][44][45][46][47][48][49][50][51][52][53]. In [8], Zhang-Suzuki-March rigorously proved four Theorems, which verifies the correctness of the Zhang's conjectured solution [3].…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, Zhang's results agree with some experimental results, which are carefully performed with high accuracy (see in [31], for instance). After its publication [3], Zhang's conjectured solution has received supports from several groups, for instance, March and his co-workers [32][33][34][35][36], Ławrynowicz and some mathematicians [6,7,37,38], Kaupuzs and his colleagues [30,39,40], and others [41][42][43][44][45][46][47][48][49][50][51][52][53]. In [8], Zhang-Suzuki-March rigorously proved four Theorems, which verifies the correctness of the Zhang's conjectured solution [3].…”
Section: Introductionmentioning
confidence: 99%
“…The Potts model [17] is the generalization of the Ising model, allowing more than two states to be considered, which widened the area of use. Currently, both models are used in many fields, including in the analysis of economic and social relations [18][19][20], or for modeling processes taking place in computer networks [21][22][23][24]. The great potential of these models was also noticed in the area of traffic modeling and traffic light control.…”
Section: Introductionmentioning
confidence: 99%
“…Of course, they are also used in widely understood IT systems. However, typically, these models are used in these cases to model the interaction between nodes in wired, wireless or social networks [19][20][21][22]. It is important to note that in [23], the authors also analysed the spread of malware based on the Ising model.…”
Section: Introductionmentioning
confidence: 99%