Article ID: | iaor200954153 |
Country: | United States |
Volume: | 33 |
Issue: | 1 |
Start Page Number: | 167 |
End Page Number: | 202 |
Publication Date: | Feb 2008 |
Journal: | Mathematics of Operations Research |
Authors: | Kumar Sunil, Ward Amy R |
Keywords: | control processes |
We consider a GI/G/1 queue with impatient customers in heavy traffic. We use the solution of an approximating singular diffusion control problem to construct an admission control policy for the queue. The approximating control problem does not admit a so–called pathwise solution. Hence, the resulting admission control policy depends on second–moment data. We prove asymptotic optimality of the constructed policy using weak–convergence methods.