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題 名 | On a M[x]/M[b]/1 Queueing System with Correlated Server Vacations |
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作 者 | Madan,K. C.; Arora,Manmohan S.; | 書刊名 | International Journal of Information and Management Sciences |
卷 期 | 5:3 1994.12[民83.12] |
頁 次 | 頁23-33 |
分類號 | 494.542 |
關鍵詞 | Bulk queueing system; Poisson process; Correlated server vacations; Time-dependent solution; |
語 文 | 英文(English) |
英文摘要 | A queueing system with bulk input following a compound Poisson process and bulk output following the min (n b % 1,b) rule for batches is studied. The server vacations, if taken at all, start at time marks tb.. , tb.. , tb....,b & of service completions of various batches and are correlated. The vacation periods are assumed to follow a general distribution with an arbitrary pdf. The probability generating functions for the number in the system are obtained for various states of the system and some known time-dependent results are derived in particular cases. |
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