| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
|---|
| Outline of Final Research Achievements |
In this research project, we studied queue length distribution of multi-server queues with abandonment. In particular, we analyzed stationary queue length distribution of the multi-server queue in case where time to abandon is constant. We derived integro-differential equations of the attained waiting time of the last customer being served and the virtual waiting time of the system. We obtained solutions of the integro-differential equations with the mixture of matrix exponentials. By expressing the matrix exponentials with stable matrices, we obtained algorithms to numerically compute the queue length distribution in a stable manner. Furthermore, we provided algorithms to compute the abandonment probability and waiting time distribution of customers.
|
