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Batch Arrival Retrial G-Queue with Fluctuating Modes of Service , Priority , Random Breakdown , Delayed Repair and Orbital Search
| Content Provider | Semantic Scholar |
|---|---|
| Abstract | Single server retrial queueing system with two types of customers is analysed in this chapter. The server provides M fluctuating modes of service. If the server is free upon the arrival of a batch, one of the customers in the batch receives service immediately and the rest join the orbit. If the server is busy, one of the customers in the arriving batch moves the customer in service to the orbit in order to commence his own service. The breakdown of the server due to the arrival of a negative customer and an unpredictable breakdown are two different types of system failure. The repair of the failed server due to negative arrival starts after a random amount of time whereas repair due to active breakdown starts instantaneously. If the server is idle in non-empty system, then the server may search for customers in the orbit. Retrial time, service time, delay time and repair time are assumed to be arbitrarily distributed. Using generating functions technique, expressions of the system performance measures are obtained. Stochastic decomposition property and special cases are studied. Finally the effects of several parameters on system measures are shown numerically. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://shodhganga.inflibnet.ac.in:8080/jspui/bitstream/10603/170852/12/12_chapter7.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
