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A Study of the Complexity of Conditional Mixed Systems and Their Duals with Gamma Components Using the Jensen Cumulative Residual Extropy Divergence Index
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Reza Alizadeh Noughabi *    , Zohreh Pakdaman , Hadi Alizadeh Noughabi |
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Abstract: (13 Views) |
| In this paper, a novel index entitled the Jensen cumulative residual extropy divergence is investigated for the analysis and measurement of the behavioral complexity of conditional mixed systems. First, using the vector of conditional coefficients obtained from the signature vector, the behavior of this measure is analytically examined for a class of coherent systems as well as their dual systems, in the case where the components follow gamma distributions. Then, simulations are performed to evaluate the obtained results. The results of this paper show that the minimum complexity is achieved by coherent $k$-out-of-$n$ systems with the Jensen cumulative residual extropy divergence equal to zero. Moreover, the results indicate that duality of systems does not necessarily lead to equality of the Jensen cumulative residual extropy divergence in conditional mixed systems; rather, this index is sensitive to component weighting, order statistics, and the structural interaction among the components of the system. |
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| Keywords: System residual lifetime, System inactivity time, Cumulative residual extropy, Jensen cumulative residual extropy divergence criterion, Dual system. |
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Full-Text [PDF 7131 kb]
(9 Downloads)
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Type of Study: Research |
Subject:
Reliability
Received: 2025/08/31 | Accepted: 2026/09/1
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