Total Idle Time Density Function of M/C2/1 Systems under (0,k) Policy
© Published under licence by IOP Publishing Ltd. The aim of this paper is to derive the probability density function (pdf) of the total idle time of busy period of M/C2/1 queues operating under control policies through lattice path combinatorics (LPC) approach. The service distribution is approximat...
| Main Authors: | , , , |
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| Format: | Conference Paper |
| Published: |
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/69916 |
| _version_ | 1848762166151217152 |
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| author | Slamet, I. Gupta, Ritu Achuthan, N. Collinson, Roger |
| author_facet | Slamet, I. Gupta, Ritu Achuthan, N. Collinson, Roger |
| author_sort | Slamet, I. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © Published under licence by IOP Publishing Ltd. The aim of this paper is to derive the probability density function (pdf) of the total idle time of busy period of M/C2/1 queues operating under control policies through lattice path combinatorics (LPC) approach. The service distribution is approximated by Coxian two-phase distribution. We focus on deriving the pdf of total idle time of M/C2/1 queues under (0,k) control policy, wherein the server goes on the vacation when the system becomes empty and re-opens for service immediately at the arrival of the kthcostumer. We present an important result which is the theorem of the pdf of total idle time when system is in busy period that ends with a departure. |
| first_indexed | 2025-11-14T10:43:14Z |
| format | Conference Paper |
| id | curtin-20.500.11937-69916 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:43:14Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-699162023-08-02T06:39:11Z Total Idle Time Density Function of M/C2/1 Systems under (0,k) Policy Slamet, I. Gupta, Ritu Achuthan, N. Collinson, Roger © Published under licence by IOP Publishing Ltd. The aim of this paper is to derive the probability density function (pdf) of the total idle time of busy period of M/C2/1 queues operating under control policies through lattice path combinatorics (LPC) approach. The service distribution is approximated by Coxian two-phase distribution. We focus on deriving the pdf of total idle time of M/C2/1 queues under (0,k) control policy, wherein the server goes on the vacation when the system becomes empty and re-opens for service immediately at the arrival of the kthcostumer. We present an important result which is the theorem of the pdf of total idle time when system is in busy period that ends with a departure. 2018 Conference Paper http://hdl.handle.net/20.500.11937/69916 10.1088/1742-6596/1028/1/012226 restricted |
| spellingShingle | Slamet, I. Gupta, Ritu Achuthan, N. Collinson, Roger Total Idle Time Density Function of M/C2/1 Systems under (0,k) Policy |
| title | Total Idle Time Density Function of M/C2/1 Systems under (0,k) Policy |
| title_full | Total Idle Time Density Function of M/C2/1 Systems under (0,k) Policy |
| title_fullStr | Total Idle Time Density Function of M/C2/1 Systems under (0,k) Policy |
| title_full_unstemmed | Total Idle Time Density Function of M/C2/1 Systems under (0,k) Policy |
| title_short | Total Idle Time Density Function of M/C2/1 Systems under (0,k) Policy |
| title_sort | total idle time density function of m/c2/1 systems under (0,k) policy |
| url | http://hdl.handle.net/20.500.11937/69916 |