Computing the Performance Measures in Queueing Models via the Method of Order Statistics
This paper focuses on new measures of performance in single-server Markovian queueing system. These measures depend on the moments of order statistics. The expected value and the variance of the maximum (minimum) number of customers in the system as well as the expected value and the variance of the...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/790253 |
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| _version_ | 1832567052785680384 |
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| author | Yousry H. Abdelkader Maram Al-Wohaibi |
| author_facet | Yousry H. Abdelkader Maram Al-Wohaibi |
| author_sort | Yousry H. Abdelkader |
| collection | DOAJ |
| description | This paper focuses on new measures of performance in single-server Markovian queueing system. These measures depend on the moments of order statistics. The expected value and the variance of the maximum (minimum) number of customers in the system as well as the expected value and the variance of the minimum (maximum) waiting time are presented. Application to an M/M/1 model is given to illustrate the idea and the applicability of the proposed measures. |
| format | Article |
| id | doaj-art-b15362f9e5a640788ab81ff8a9719f56 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b15362f9e5a640788ab81ff8a9719f562025-02-03T01:02:28ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/790253790253Computing the Performance Measures in Queueing Models via the Method of Order StatisticsYousry H. Abdelkader0Maram Al-Wohaibi1Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, EgyptDepartment of Mathematics, Girls College, Dammam University, P.O. Box 838, Dammam 31113, Saudi ArabiaThis paper focuses on new measures of performance in single-server Markovian queueing system. These measures depend on the moments of order statistics. The expected value and the variance of the maximum (minimum) number of customers in the system as well as the expected value and the variance of the minimum (maximum) waiting time are presented. Application to an M/M/1 model is given to illustrate the idea and the applicability of the proposed measures.http://dx.doi.org/10.1155/2011/790253 |
| spellingShingle | Yousry H. Abdelkader Maram Al-Wohaibi Computing the Performance Measures in Queueing Models via the Method of Order Statistics Journal of Applied Mathematics |
| title | Computing the Performance Measures in Queueing Models via the Method of Order Statistics |
| title_full | Computing the Performance Measures in Queueing Models via the Method of Order Statistics |
| title_fullStr | Computing the Performance Measures in Queueing Models via the Method of Order Statistics |
| title_full_unstemmed | Computing the Performance Measures in Queueing Models via the Method of Order Statistics |
| title_short | Computing the Performance Measures in Queueing Models via the Method of Order Statistics |
| title_sort | computing the performance measures in queueing models via the method of order statistics |
| url | http://dx.doi.org/10.1155/2011/790253 |
| work_keys_str_mv | AT yousryhabdelkader computingtheperformancemeasuresinqueueingmodelsviathemethodoforderstatistics AT maramalwohaibi computingtheperformancemeasuresinqueueingmodelsviathemethodoforderstatistics |