| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
We studied queues interacting with the underlying processes. In particular, we consider queues with working vacations and queues with impatient customers. In queues with working vacations, the underlying process is reset when the system becomes empty, and queues with impatient customers are equivalent to queues with workload-dependent arrivals. As for the former, we established a matrix-analytic method for the workload process corresponding to the case that the underlying Markov chain is reset when the system becomes empty. As for the latter, we accomplished the analysis of MAP/M/c+D and M/PH/c+D queues and revealed various properties of the loss probability in the M/G/1+G queue.
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