An s, S Production Inventory Controlled Self-Service Queuing System
We consider a multiserver Markovian queuing system where each server provides service only to one customer. Arrival of customers is according to a Poisson process and whenever a customer leaves the system after getting service, that server is also removed from the system. Here the servers are consid...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2015/505082 |
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| author | Anoop N. Nair M. J. Jacob |
| author_facet | Anoop N. Nair M. J. Jacob |
| author_sort | Anoop N. Nair |
| collection | DOAJ |
| description | We consider a multiserver Markovian queuing system where each server provides service only to one customer. Arrival of customers is according to a Poisson process and whenever a customer leaves the system after getting service, that server is also removed from the system. Here the servers are considered as a standard s, S production inventory. Behavior of this system is studied using a three-dimensional QBD process. The condition for checking ergodicity and the steady state solutions are obtained using matrix analytic method. Unlike classical queuing models, the number of servers varies in this model according to an inventory policy. |
| format | Article |
| id | doaj-art-aebbe57219db47d495a5a92b29ac1f33 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-aebbe57219db47d495a5a92b29ac1f332025-08-20T03:38:59ZengWileyJournal of Probability and Statistics1687-952X1687-95382015-01-01201510.1155/2015/505082505082An s, S Production Inventory Controlled Self-Service Queuing SystemAnoop N. Nair0M. J. Jacob1Department of Mathematics, National Institute of Technology Calicut, Kerala, Calicut 673601, IndiaDepartment of Mathematics, National Institute of Technology Calicut, Kerala, Calicut 673601, IndiaWe consider a multiserver Markovian queuing system where each server provides service only to one customer. Arrival of customers is according to a Poisson process and whenever a customer leaves the system after getting service, that server is also removed from the system. Here the servers are considered as a standard s, S production inventory. Behavior of this system is studied using a three-dimensional QBD process. The condition for checking ergodicity and the steady state solutions are obtained using matrix analytic method. Unlike classical queuing models, the number of servers varies in this model according to an inventory policy.http://dx.doi.org/10.1155/2015/505082 |
| spellingShingle | Anoop N. Nair M. J. Jacob An s, S Production Inventory Controlled Self-Service Queuing System Journal of Probability and Statistics |
| title | An s, S Production Inventory Controlled Self-Service Queuing System |
| title_full | An s, S Production Inventory Controlled Self-Service Queuing System |
| title_fullStr | An s, S Production Inventory Controlled Self-Service Queuing System |
| title_full_unstemmed | An s, S Production Inventory Controlled Self-Service Queuing System |
| title_short | An s, S Production Inventory Controlled Self-Service Queuing System |
| title_sort | s s production inventory controlled self service queuing system |
| url | http://dx.doi.org/10.1155/2015/505082 |
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