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M/G/1 fault-tolerant machining system with imperfection

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dc.contributor.author Shekhar, Chandra
dc.date.accessioned 2023-07-28T06:25:16Z
dc.date.available 2023-07-28T06:25:16Z
dc.date.issued 2021
dc.identifier.uri https://www.aimsciences.org/article/doi/10.3934/jimo.2019096
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11045
dc.description.abstract The internet of things (IoT) is an emerging archetype of technology for the guaranteed quality of services (QoS). The availability of the uninterrupted power supply (UPS) is one of the most challenging criteria in the successful implementation of the service system of IoT. In this paper, we consider a fault-tolerant power generation system of finite operating machines along with warm standby machine provisioning. The time-to-failure for each of the operating and standby machines are assumed to be exponentially distributed. The time-to-repair by the single service facility for the failed machine follows the arbitrary distribution. For modeling purpose, we have also incorporated realistic machining behaviors like imperfect coverage of the failure of machines, switching failure of standby machine, reboot delay, switch over delay, etc. For the evaluation of the explicit expression for steady-state probabilities of the system, the only required input is the Laplace-Stieltjes transform (LST) of the repair time distribution. The step-wise recursive procedure, illustrative examples, and numerical results have been presented for the following different type of repair time distribution: exponential (), -stage Erlang (), deterministic (), uniform (), -stage generalized Erlang () and hyperexponential (). Concluding remarks and future scopes have also been included. en_US
dc.language.iso en en_US
dc.publisher JIMO en_US
dc.subject Mathematics en_US
dc.subject Standby provisioning en_US
dc.subject Imperfect coverage en_US
dc.subject Switching failure en_US
dc.subject Reboot delay en_US
dc.subject Switchover delay en_US
dc.subject Supplementary variable en_US
dc.title M/G/1 fault-tolerant machining system with imperfection en_US
dc.type Article en_US


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