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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000717 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |