Performance analysis of an M/G/1 retrial G-queue with feedback under working breakdown services
In this paper, we investigate a new type of retrial queueing model with feedback and working breakdown services. The regular busy server may become defective by disasters (negative customers) at any point of time. Negative customers arrive only at the service time of a positive customer and remove...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Prince of Songkla University
2020-02-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://rdo.psu.ac.th/sjstweb/journal/42-1/31.pdf |
| _version_ | 1811320358300549120 |
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| author | Pakkirisami Rajadurai M. Sundararaman Devadoss Narasimhan |
| author_facet | Pakkirisami Rajadurai M. Sundararaman Devadoss Narasimhan |
| author_sort | Pakkirisami Rajadurai |
| collection | DOAJ |
| description | In this paper, we investigate a new type of retrial queueing model with feedback and working breakdown services. The
regular busy server may become defective by disasters (negative customers) at any point of time. Negative customers arrive only
at the service time of a positive customer and remove the positive customer from the service. At the instant of failure, the main
server is sent for repair and the repair period begins immediately. During the repair period, the server gives service at a lower
speed (called working breakdown period). The steady state probability generating function for system size and orbit size are
obtained using the method of supplementary variable. We also obtain some analytic expressions for various performance
measures such as system state probabilities, mean orbit size, and mean system size of this model and some important special
cases are discussed. Finally, some numerical examples are presented to study the impact of the system parameters. |
| first_indexed | 2024-04-13T12:58:15Z |
| format | Article |
| id | doaj.art-279b7ca70862450d95075a2d55ae8b07 |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-04-13T12:58:15Z |
| publishDate | 2020-02-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-279b7ca70862450d95075a2d55ae8b072022-12-22T02:45:59ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952020-02-0142123624710.14456/sjst-psu.2020.31Performance analysis of an M/G/1 retrial G-queue with feedback under working breakdown servicesPakkirisami Rajadurai0M. Sundararaman1Devadoss Narasimhan2Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA, Kumbakonam, Thanjavur, Tamilnadu, 612001 IndiaDepartment of Mathematics, Srinivasa Ramanujan Centre, SASTRA, Kumbakonam, Thanjavur, Tamilnadu, 612001 IndiaDepartment of Mathematics, Srinivasa Ramanujan Centre, SASTRA, Kumbakonam, Thanjavur, Tamilnadu, 612001 IndiaIn this paper, we investigate a new type of retrial queueing model with feedback and working breakdown services. The regular busy server may become defective by disasters (negative customers) at any point of time. Negative customers arrive only at the service time of a positive customer and remove the positive customer from the service. At the instant of failure, the main server is sent for repair and the repair period begins immediately. During the repair period, the server gives service at a lower speed (called working breakdown period). The steady state probability generating function for system size and orbit size are obtained using the method of supplementary variable. We also obtain some analytic expressions for various performance measures such as system state probabilities, mean orbit size, and mean system size of this model and some important special cases are discussed. Finally, some numerical examples are presented to study the impact of the system parameters.https://rdo.psu.ac.th/sjstweb/journal/42-1/31.pdfretrial queueg queuefeedbackworking breakdown services |
| spellingShingle | Pakkirisami Rajadurai M. Sundararaman Devadoss Narasimhan Performance analysis of an M/G/1 retrial G-queue with feedback under working breakdown services Songklanakarin Journal of Science and Technology (SJST) retrial queue g queue feedback working breakdown services |
| title | Performance analysis of an M/G/1 retrial G-queue with feedback under working breakdown services |
| title_full | Performance analysis of an M/G/1 retrial G-queue with feedback under working breakdown services |
| title_fullStr | Performance analysis of an M/G/1 retrial G-queue with feedback under working breakdown services |
| title_full_unstemmed | Performance analysis of an M/G/1 retrial G-queue with feedback under working breakdown services |
| title_short | Performance analysis of an M/G/1 retrial G-queue with feedback under working breakdown services |
| title_sort | performance analysis of an m g 1 retrial g queue with feedback under working breakdown services |
| topic | retrial queue g queue feedback working breakdown services |
| url | https://rdo.psu.ac.th/sjstweb/journal/42-1/31.pdf |
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