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Batch Arrival Retrial G-queue with Additional Multi-optional Service and Server Breakdown
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kirupa, K. Chandrika, K. Udaya |
| Copyright Year | 2014 |
| Abstract | Single server batch arrival retrial G-queue with additional multi-optional service and server breakdown is analyzed. The server provides first essential and second optional service. There are two types of customers - positive and negative. Positive customers arrive in batches. If the server is idle, one of the customers in the batch demand the first essential service while the rest join the orbit. As soon as first essential service is completed, the customer may opt the second multi-optional service or depart from the system. Arrival of negative customer removes the customer being in service from the system and causes the server breakdown. The repair of the failed server starts immediately. Expected system size, orbit size, availability and failure frequency of the server are derived. Stochastic decomposition law is verified. Numerical examples are presented to illustrate the effect of parameters on several performance characteristics. |
| Starting Page | 6 |
| Ending Page | 11 |
| Page Count | 6 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://borjournals.com/a/index.php/jecas/article/download/1741/1088 |
| Volume Number | 3 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |