Analysis of an unreliable server with soft failures and working vacations and its application in a smart healthcare system
The majority of the studies on queues with failing servers focused on catastrophic failures. Catastrophic failures are actually a particular kind of server failure that causes system clearing. Routine errors, unlike catastrophic failures, do not destroy the system; instead, all users must wait for t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Results in Control and Optimization |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720723000139 |
| _version_ | 1811157878516482048 |
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| author | B. Janani K.V. Vijayashree |
| author_facet | B. Janani K.V. Vijayashree |
| author_sort | B. Janani |
| collection | DOAJ |
| description | The majority of the studies on queues with failing servers focused on catastrophic failures. Catastrophic failures are actually a particular kind of server failure that causes system clearing. Routine errors, unlike catastrophic failures, do not destroy the system; instead, all users must wait for the server to be activated again. In this study, with an application to a smart healthcare system, the analytical equations for the transient state probability of an unreliable server with soft failures and a working vacation are presented for the first time. The performance metrics are also developed. Numerical visuals are developed to support theoretical results. |
| first_indexed | 2024-04-10T05:14:55Z |
| format | Article |
| id | doaj.art-6b2efe8fd0294a7cae976388a3e840d3 |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-04-10T05:14:55Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-6b2efe8fd0294a7cae976388a3e840d32023-03-09T04:13:55ZengElsevierResults in Control and Optimization2666-72072023-03-0110100211Analysis of an unreliable server with soft failures and working vacations and its application in a smart healthcare systemB. Janani0K.V. Vijayashree1Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, India; Corresponding author.Department of Mathematics, CEG, Anna University, Chennai, IndiaThe majority of the studies on queues with failing servers focused on catastrophic failures. Catastrophic failures are actually a particular kind of server failure that causes system clearing. Routine errors, unlike catastrophic failures, do not destroy the system; instead, all users must wait for the server to be activated again. In this study, with an application to a smart healthcare system, the analytical equations for the transient state probability of an unreliable server with soft failures and a working vacation are presented for the first time. The performance metrics are also developed. Numerical visuals are developed to support theoretical results.http://www.sciencedirect.com/science/article/pii/S2666720723000139Working vacation stateBusy stateTransient state probabilitiesUnreliable serverSoft failureWireless body sensor |
| spellingShingle | B. Janani K.V. Vijayashree Analysis of an unreliable server with soft failures and working vacations and its application in a smart healthcare system Results in Control and Optimization Working vacation state Busy state Transient state probabilities Unreliable server Soft failure Wireless body sensor |
| title | Analysis of an unreliable server with soft failures and working vacations and its application in a smart healthcare system |
| title_full | Analysis of an unreliable server with soft failures and working vacations and its application in a smart healthcare system |
| title_fullStr | Analysis of an unreliable server with soft failures and working vacations and its application in a smart healthcare system |
| title_full_unstemmed | Analysis of an unreliable server with soft failures and working vacations and its application in a smart healthcare system |
| title_short | Analysis of an unreliable server with soft failures and working vacations and its application in a smart healthcare system |
| title_sort | analysis of an unreliable server with soft failures and working vacations and its application in a smart healthcare system |
| topic | Working vacation state Busy state Transient state probabilities Unreliable server Soft failure Wireless body sensor |
| url | http://www.sciencedirect.com/science/article/pii/S2666720723000139 |
| work_keys_str_mv | AT bjanani analysisofanunreliableserverwithsoftfailuresandworkingvacationsanditsapplicationinasmarthealthcaresystem AT kvvijayashree analysisofanunreliableserverwithsoftfailuresandworkingvacationsanditsapplicationinasmarthealthcaresystem |