APPROXIMATIONS TO PERFORMANCE MEASURES IN QUEUING SYSTEMS
Approximations to various performance measures in queuing systems have received considerable attention because these measures have wide applicability. In this paper we propose two methods to approximate the queuing characteristics of a GI/M/1 system. The first method is non-parametric in nature, usi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Stellenbosch University
2012-11-01
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| Series: | South African Journal of Industrial Engineering |
| Subjects: | |
| Online Access: | http://sajie.journals.ac.za/pub/article/view/509/406 |
| _version_ | 1811219468810977280 |
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| author | Kambo, N. S. Rangan, A. Moghimihadji, E. |
| author_facet | Kambo, N. S. Rangan, A. Moghimihadji, E. |
| author_sort | Kambo, N. S. |
| collection | DOAJ |
| description | Approximations to various performance measures in queuing systems have received considerable attention because these measures have wide applicability. In this paper we propose two methods to approximate the queuing characteristics of a GI/M/1 system. The first method is non-parametric in nature, using only the first three moments of the arrival distribution. The second method treads the known path of approximating the arrival distribution by a mixture of two exponential distributions by matching the first three moments. Numerical examples and optimal analysis of performance measures of GI/M/1 queues are provided to illustrate the efficacy of the methods, and are compared with benchmark approximations. |
| first_indexed | 2024-04-12T07:27:20Z |
| format | Article |
| id | doaj.art-c5242ae2be6c48559787f67efce64405 |
| institution | Directory Open Access Journal |
| issn | 1012-277X 2224-7890 |
| language | English |
| last_indexed | 2024-04-12T07:27:20Z |
| publishDate | 2012-11-01 |
| publisher | Stellenbosch University |
| record_format | Article |
| series | South African Journal of Industrial Engineering |
| spelling | doaj.art-c5242ae2be6c48559787f67efce644052022-12-22T03:42:09ZengStellenbosch UniversitySouth African Journal of Industrial Engineering1012-277X2224-78902012-11-01233304110.7166/23-3-509APPROXIMATIONS TO PERFORMANCE MEASURES IN QUEUING SYSTEMSKambo, N. S.0Rangan, A.1Moghimihadji, E.2Eastern Mediterranean UniversityEastern Mediterranean UniversityIstanbul Aydin UniversityApproximations to various performance measures in queuing systems have received considerable attention because these measures have wide applicability. In this paper we propose two methods to approximate the queuing characteristics of a GI/M/1 system. The first method is non-parametric in nature, using only the first three moments of the arrival distribution. The second method treads the known path of approximating the arrival distribution by a mixture of two exponential distributions by matching the first three moments. Numerical examples and optimal analysis of performance measures of GI/M/1 queues are provided to illustrate the efficacy of the methods, and are compared with benchmark approximations.http://sajie.journals.ac.za/pub/article/view/509/406Queuing systems |
| spellingShingle | Kambo, N. S. Rangan, A. Moghimihadji, E. APPROXIMATIONS TO PERFORMANCE MEASURES IN QUEUING SYSTEMS South African Journal of Industrial Engineering Queuing systems |
| title | APPROXIMATIONS TO PERFORMANCE MEASURES IN QUEUING SYSTEMS |
| title_full | APPROXIMATIONS TO PERFORMANCE MEASURES IN QUEUING SYSTEMS |
| title_fullStr | APPROXIMATIONS TO PERFORMANCE MEASURES IN QUEUING SYSTEMS |
| title_full_unstemmed | APPROXIMATIONS TO PERFORMANCE MEASURES IN QUEUING SYSTEMS |
| title_short | APPROXIMATIONS TO PERFORMANCE MEASURES IN QUEUING SYSTEMS |
| title_sort | approximations to performance measures in queuing systems |
| topic | Queuing systems |
| url | http://sajie.journals.ac.za/pub/article/view/509/406 |
| work_keys_str_mv | AT kambons approximationstoperformancemeasuresinqueuingsystems AT rangana approximationstoperformancemeasuresinqueuingsystems AT moghimihadjie approximationstoperformancemeasuresinqueuingsystems |