Convergence to equilibrium states for fluid models of many-server queues with abandonment |
| |
Affiliation: | Department of Industrial Engineering and Logistic Management, The Hong Kong University of Science and Technology, Hong Kong Special Administrative Region |
| |
Abstract: | Fluid models, in particular their equilibrium states, have become an important tool for the study of many-server queues with general service and patience time distributions. However, it remains an open question whether the solution to a fluid model converges to the equilibrium state and under what condition. We show in this paper that the convergence holds under some conditions. Our method builds on the framework of measure-valued processes, which keeps track of the remaining patience and service times. |
| |
Keywords: | Many-server queue Abandonment Fluid model Equilibrium state Convergence |
本文献已被 ScienceDirect 等数据库收录! |