Adelaide Research & Scholarship
Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/468
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| Type: | Journal article |
| Title: | The Mx/G/1 queue with queue length dependent service times |
| Author: | Choi, Bong Dae Kim, Yeong Cheol Shin, Yang Woo Pearce, Charles Edward Miller |
| Citation: | J.A.M.S.A. Journal of Applied Mathematics and Stochastic Analysis, 2001; 14(4):399-419 |
| Publisher: | North Atlantic Science |
| Issue Date: | 2001 |
| ISSN: | 1048-9533 |
| School/Discipline: | School of Mathematical Sciences : Applied Mathematics |
| Statement of Responsibility: | Bong Dae Choi, Yeong Cheol Kim, Yang Woo Shin, and Charles E. M. Pearce |
| Abstract: | We deal with the MX/G/1 queue where service times depend on the queue length at the service initiation. By using Markov renewal theory, we derive the queue length distribution at departure epochs. We also obtain the transient queue length distribution at time t and its limiting distribution and the virtual waiting time distribution. The numerical results for transient mean queue length and queue length distributions are given. |
| Keywords: | MX/G/1 Queue, Queue Length Dependent Service Time, Transient Queue Length Distribution, Waiting Time Distribution. |
| Rights: | © 2001 by North Atlantic Science Publishing Company |
| DOI: | 10.1155/S104895330100034X |
| Appears in Collections: | Applied Mathematics publications |
Files in This Item:
| File | Size | Format | |
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| hdl_468.pdf | 1.37 MB | Publisher's PDF | View/Open |
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