A general methodology for population analysis

Lazov, Petar; Lazov, Igor

doi:10.1016/j.physa.2014.08.031

Cited by 10 publications

(4 citation statements)

References 18 publications

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“…, M − 1, as shown in Fig. 1 (as in [31]). A state n of this chain, 0 ≤ n ≤ M , corresponds to the total number of concurrently active users n, i.e., N = n. Here, λ n is the activation rate given n active users, i.e., the transition rate from state n to state n + 1, corresponding to one user, among M − n idle users, commencing its activity.…”

Section: System Modelmentioning

confidence: 65%

“…Here, we point out the Tsallis' q-nonextensive entropy [39], obtained by q-generalization of the logarithm and of the exponential. Since the parameter ρ is inherently built in the probability distributions of the quantity N , and insisting to its key role in this analysis, we stay on the standard entropy definition (2.9) in developing the proposed analysis (as in [31]). …”

Section: A Physical Basics Of the Analysismentioning

confidence: 99%

“…The principal basics for this BWA system analysis are given in [31], where an arbitrary population of entities is a concern and a more general methodological framework is introduced. In addition, the terms belt-zone of deviation from maximum uncertainty and relative risk, regarding the average number of entities, are introduced in [31].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, the terms belt-zone of deviation from maximum uncertainty and relative risk, regarding the average number of entities, are introduced in [31].…”

Section: Introductionmentioning

confidence: 99%

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Entropy Analysis of Broadband Wireless Access Systems

Lazov

2017

IEEE Systems Journal

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A Broadband Wireless Access (BWA) system consists of a base station and a set of M users within its antenna sector, with N simultaneously active users, 0 ≤ N ≤ M , working in Point-to-Multipoint (PMP) mode. We model this system as family of Birth-Death Processes (BDPs), with size M + 1, in equilibrium, indexed by system utilization parameter ρ, ratio of its primary birth and death rates. Relying on the fundamental concepts of system information i and system entropy S = E(i), we develop an entropy analysis of BWA systems. Thereby, by definition, the system entropy, as the mean value of system information, is the uncertainty, related to the system. Taking system information as loss function, we identify risk and uncertainty, related to the system. Using the maximization of entropy, given the average number N of active users, we promote belt-zone of deviation from maximum uncertainty and a function of relative risk, regarding N , for a BWA system. This analysis is illustrated on BWA systems with finite user population, such as the binomial M -server BWA systems, modeled by the family of BDPs with binomial distribution, and the delay single-server BWA systems, modeled by the corresponding family of BDPs; both systems represent private networks.Index Terms-Absolute and relative risks, Broadband Wireless Access (BWA) system, information linearity, system information and entropy, system utilization and size, uncertainty.

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Section: System Modelmentioning

confidence: 65%

Section: A Physical Basics Of the Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In addition, the terms belt-zone of deviation from maximum uncertainty and relative risk, regarding the average number of entities, are introduced in [31].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations