The T-Policy for the M/G/1 Queue
We consider situations where the server cannot continuously monitor its queue to sense customer arrivals. For this situation we introduce the T-policy which activates the server T time units after the end of the last busy period. We consider in detail an M/G/1 queue with linear customer holding costs and a fixed charge for activating the server. For the minimum cost-rate criterion we obtain the optimal value of T and the optimal cost rate. We show that the optimal cost rate is larger than the one achieved by the comparable optimal N-policy which activates the server when N customers are in the queue. We also show that under the optimal T-policy, the expected number of customers present when the server is activated is the optimal value of N.
Volume (Year): 23 (1977)
Issue (Month): 7 (March)
|Contact details of provider:|| Postal: |
Web page: http://www.informs.org/Email:
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:23:y:1977:i:7:p:775-778. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc)
If references are entirely missing, you can add them using this form.