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| Content Provider | Springer Nature Link |
|---|---|
| Author | Vemuri, Vasanta Kumar Hari Prasad Boppana, Venkata Siva Nageswara Kotagiri, Chandan Bethapudi, Ravi Teja |
| Copyright Year | 2011 |
| Abstract | This paper deals with the optimal control policy of a single removable and unreliable server in an N-policy two-phase M$^{X}$/M/1 queueing system without gating and server startups. The arrivals occur in batches according to a compound Poisson process and waiting customers receive batch service all at a time in the first phase and proceed to the second phase to receive individual service. The server is turned off each time the system empties, as and when the queue length reaches or exceeds N (threshold), the server is immediately turned on but is temporarily unavailable to serve the waiting batch of customers. The server needs a startup time before providing batch service in the first phase. The server is subject to breakdowns during individual service according to a Poisson process and repair times of the server follow an exponential distribution. The distribution of the system size is derived through probability generating functions and obtained other system characteristics. Finally, the expected cost per unit time is considered to determine the optimal operating policy at a minimum cost. The sensitivity analysis has been carried out to examine the effect of different parameters in the system. |
| Starting Page | 109 |
| Ending Page | 122 |
| Page Count | 14 |
| File Format | |
| ISSN | 00303887 |
| Journal | OPSEARCH |
| Volume Number | 48 |
| Issue Number | 2 |
| e-ISSN | 09750320 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2011-07-27 |
| Publisher Place | India |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Vacation N-policy Queueing system Two-phase Startup Breakdowns Mathematics Operations Research/Decision Theory Management/Business for Professionals |
| Content Type | Text |
| Resource Type | Article |
| Subject | Management Science and Operations Research Management Information Systems Information Systems Computer Science Applications |
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