Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systems
This paper brings out relations among the moments of various orders of the waiting time of the 1st customer and a randomly selected customer of an arrival group for bulk arrivals queueing models, and as well as moments of the waiting time (in queue) for M/G/1 queueing system. A numerical study of th...
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| Format: | Article |
| Language: | English |
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Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171288000717 |
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| author | A. Ghosal S. Madan |
| author_facet | A. Ghosal S. Madan |
| author_sort | A. Ghosal |
| collection | DOAJ |
| description | This paper brings out relations among the moments of various orders of the waiting time of the 1st customer and a randomly selected customer of an arrival group for bulk arrivals queueing models, and as well as moments of the waiting time (in queue) for M/G/1 queueing system. A numerical study of these relations has been developed in order to find the (β1,β2) measures of waiting time distribution in a comutable form. On the basis of these measures one can look into the nature of waiting time distribution of bulk arrival queues and the single server M/G/1 queue. |
| format | Article |
| id | doaj-art-326af86b57bf4b2394747980562fe4c9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-326af86b57bf4b2394747980562fe4c92025-02-03T01:32:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111358959710.1155/S0161171288000717Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systemsA. Ghosal0S. Madan1Council of Scientific and Industrial Research Complex, New Delhi 110012, IndiaCouncil of Scientific and Industrial Research Complex, New Delhi 110012, IndiaThis paper brings out relations among the moments of various orders of the waiting time of the 1st customer and a randomly selected customer of an arrival group for bulk arrivals queueing models, and as well as moments of the waiting time (in queue) for M/G/1 queueing system. A numerical study of these relations has been developed in order to find the (β1,β2) measures of waiting time distribution in a comutable form. On the basis of these measures one can look into the nature of waiting time distribution of bulk arrival queues and the single server M/G/1 queue.http://dx.doi.org/10.1155/S0161171288000717queueing systemsM/G/1 systemsdistribution functions. |
| spellingShingle | A. Ghosal S. Madan Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systems International Journal of Mathematics and Mathematical Sciences queueing systems M/G/1 systems distribution functions. |
| title | Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systems |
| title_full | Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systems |
| title_fullStr | Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systems |
| title_full_unstemmed | Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systems |
| title_short | Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systems |
| title_sort | identification of waiting time distribution of m g 1 mx g 1 gir m 1 queueing systems |
| topic | queueing systems M/G/1 systems distribution functions. |
| url | http://dx.doi.org/10.1155/S0161171288000717 |
| work_keys_str_mv | AT aghosal identificationofwaitingtimedistributionofmg1mxg1girm1queueingsystems AT smadan identificationofwaitingtimedistributionofmg1mxg1girm1queueingsystems |