A linear algebraic approach in analyzing the M/GE/1 and GE/M/1 queuing systems at equilibrium
Uses the algebraic approach in the queuing theory to derive the M/G/1 equilibrium solution for the number of jobs in the system when the probability distribution function representing the general distribution is the generalized exponential (GE-type). Similarly the GE/M/1 system is solved. Furthermor...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Faculty of Computer Science and Information Technology, University of Malaya
1996
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| Online Access: | http://psasir.upm.edu.my/id/eprint/42468/ http://psasir.upm.edu.my/id/eprint/42468/1/A%20linear%20algebraic%20approach%20in%20analyzing%20the.pdf |
| _version_ | 1848849971099467776 |
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| author | Mustafa, Mohammad Saleh Othman, Abu Talib |
| author_facet | Mustafa, Mohammad Saleh Othman, Abu Talib |
| author_sort | Mustafa, Mohammad Saleh |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Uses the algebraic approach in the queuing theory to derive the M/G/1 equilibrium solution for the number of jobs in the system when the probability distribution function representing the general distribution is the generalized exponential (GE-type). Similarly the GE/M/1 system is solved. Furthermore, it has been shown that as expected the solutions are equivalent to the maximum entropy solutions of the M/G/1 and G/M/1 systems respectively at equilibrium. |
| first_indexed | 2025-11-15T09:58:52Z |
| format | Article |
| id | upm-42468 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:58:52Z |
| publishDate | 1996 |
| publisher | Faculty of Computer Science and Information Technology, University of Malaya |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-424682016-04-13T07:43:30Z http://psasir.upm.edu.my/id/eprint/42468/ A linear algebraic approach in analyzing the M/GE/1 and GE/M/1 queuing systems at equilibrium Mustafa, Mohammad Saleh Othman, Abu Talib Uses the algebraic approach in the queuing theory to derive the M/G/1 equilibrium solution for the number of jobs in the system when the probability distribution function representing the general distribution is the generalized exponential (GE-type). Similarly the GE/M/1 system is solved. Furthermore, it has been shown that as expected the solutions are equivalent to the maximum entropy solutions of the M/G/1 and G/M/1 systems respectively at equilibrium. Faculty of Computer Science and Information Technology, University of Malaya 1996-06 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/42468/1/A%20linear%20algebraic%20approach%20in%20analyzing%20the.pdf Mustafa, Mohammad Saleh and Othman, Abu Talib (1996) A linear algebraic approach in analyzing the M/GE/1 and GE/M/1 queuing systems at equilibrium. Malaysian Journal of Computer Science, 9 (1). pp. 6-11. ISSN 0127-9084 http://e-journal.um.edu.my/publish/MJCS/130-144 |
| spellingShingle | Mustafa, Mohammad Saleh Othman, Abu Talib A linear algebraic approach in analyzing the M/GE/1 and GE/M/1 queuing systems at equilibrium |
| title | A linear algebraic approach in analyzing the M/GE/1 and GE/M/1 queuing systems at equilibrium |
| title_full | A linear algebraic approach in analyzing the M/GE/1 and GE/M/1 queuing systems at equilibrium |
| title_fullStr | A linear algebraic approach in analyzing the M/GE/1 and GE/M/1 queuing systems at equilibrium |
| title_full_unstemmed | A linear algebraic approach in analyzing the M/GE/1 and GE/M/1 queuing systems at equilibrium |
| title_short | A linear algebraic approach in analyzing the M/GE/1 and GE/M/1 queuing systems at equilibrium |
| title_sort | linear algebraic approach in analyzing the m/ge/1 and ge/m/1 queuing systems at equilibrium |
| url | http://psasir.upm.edu.my/id/eprint/42468/ http://psasir.upm.edu.my/id/eprint/42468/ http://psasir.upm.edu.my/id/eprint/42468/1/A%20linear%20algebraic%20approach%20in%20analyzing%20the.pdf |