Article ID: | iaor20052386 |
Country: | Netherlands |
Volume: | 33 |
Issue: | 2 |
Start Page Number: | 201 |
End Page Number: | 209 |
Publication Date: | Mar 2005 |
Journal: | Operations Research Letters |
Authors: | Baba Yutaka |
Keywords: | vacation models, GI/M/1 queues |
Consider a GI/M/1 queue with vacations such that the server works with different rates rather than completely stops during a vacation period. We derive the steady-state distributions for the number of customers in the system both at arrival and arbitrary epochs, and for the sojourn time for an arbitrary customer.