<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In our paper we describe the corresponding dynamic mathematical models to perform a comparative analysis of the reliability of two types of networks: serial-parallel and parallel-serial when the number of subnetworks is constant and the numbers of units in each sub-network are Power Series Distributed (PSD) random variables (r.v.), but also when the lifetimes are independent, identically distributed r.v. We shows that the lifetime distributions of such kind of networks leads us to two new families of distributions called Min(Max-PSD) and Max(Min-PSD) distributions. The formulas for calculating the reliability of the related networks it was deduced too. Su cient conditions have been formulated for the serial-parallel network to always be more reliable than the parallel-serial network. Some graphically illustrated examples have been provided.</p>
</abstract>

In our paper we describe the corresponding dynamic mathematical models to perform a comparative analysis of the reliability of two types of networks: serial-parallel and parallel-serial when the number of subnetworks is constant and the numbers of units in each sub-network are Power Series Distributed (PSD) random variables (r.v.), but also when the lifetimes are independent, identically distributed r.v. We shows that the lifetime distributions of such kind of networks leads us to two new families of distributions called Min(Max-PSD) and Max(Min-PSD) distributions. The formulas for calculating the reliability of the related networks it was deduced too. Su cient conditions have been formulated for the serial-parallel network to always be more reliable than the parallel-serial network. Some graphically illustrated examples have been provided.

Min(Max-PSD) and Max(Min-PSD) as lifetime distributions in Network’s Reliability

Department of Software Engeneering and Authomatics

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In our paper we describe the corresponding dynamic mathematical models to perform a comparative analysis of the reliability of two types of networks:...

Min(Max-PSD) and Max(Min-PSD) as lifetime distributions in Network’s Reliability

Published Online: Oct 08, 2022

Page range: 173 - 184

Received: Oct 12, 2021

Accepted: Feb 15, 2022

DOI: https://doi.org/10.2478/auom-2022-0039

Keywords
lifetime distributions, PSD distributions, survival function / reliability, serial-parallel and parallel-serial networks

© 2022 Alexei Leahu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Min(Max-PSD) and Max(Min-PSD) as lifetime distributions in Network’s Reliability

Published Online: Oct 08, 2022

Page range: 173 - 184

Received: Oct 12, 2021

Accepted: Feb 15, 2022

DOI: https://doi.org/10.2478/auom-2022-0039

Keywordslifetime distributions, PSD distributions, survival function / reliability, serial-parallel and parallel-serial networks

© 2022 Alexei Leahu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
lifetime distributions, PSD distributions, survival function / reliability, serial-parallel and parallel-serial networks