Article ID: | iaor1998452 |
Country: | United Kingdom |
Volume: | 24 |
Issue: | 6 |
Start Page Number: | 493 |
End Page Number: | 504 |
Publication Date: | Jun 1997 |
Journal: | Computers and Operations Research |
Authors: | Artalejo J.R. |
Keywords: | M/G/1 queues, vacation models |
We consider an M/G/1 queue with repeated attempts in which the server operates under a general exhaustive service vacation policy. We develop a comprehensive analysis of the system including ergodicity, limiting behaviour, stochastic decomposition and optimal control. We would like to point out that the system size distribution decomposes into three random variables which are respectively associated with the vacation time, the retrial policy and the ordinary M/G/1 queue without vacations and repeated attempts.