Isnandar, Slamet and Ritu, Gupta and Narasimaha R., Achuthan (2014) PROBABILITY DENSITY FUNCTION OF M/G/1 QUEUES UNDER (0,K) CONTROL POLICIES: A SPECIAL CASE. Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014. (Submitted)
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Abstract
In this paper we present probability density function of vacation period of M/G/1 queueing process that operates under (0,k) vacation policy, wherein the server goes on the vacation when the system becomes empty and re-opens for service immediately at the arrival of the kth customer. The number of lattice paths when last arrival is an arrival has also been derived. The transient analysis is based on approximating the general service time distribution by Coxian two-phase distribution and representing the corresponding queueing process as a lattice path. Finally the lattice path combinatorics is used to present the number of lattice paths.
| Item Type: | Article |
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| Uncontrolled Keywords: | Coxian distributiont; control policies |
| Subjects: | Prosiding > ICRIEMS 2014 > MATHEMATICS & MATHEMATICS EDUCATION |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Pendidikan Matematika > Matematika |
| Depositing User: | Eprints |
| Date Deposited: | 07 Nov 2014 04:28 |
| Last Modified: | 07 Nov 2014 04:28 |
| URI: | http://eprints.uny.ac.id/id/eprint/11471 |
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