| Project/Area Number |
23710178
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Social systems engineering/Safety system
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| Research Institution | Hiroshima National College of Maritime Technology |
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Principal Investigator |
SAKUMA Yutaka 広島商船高等専門学校, 流通情報工学科, 講師 (00434027)
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| Project Period (FY) |
2011 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 待ち行列 / 性能解析 / マルコフ連鎖 / 定常裾確率 / 漸近解析 / 制限時間のある待ち行列モデル / マルコフ過程 / 生産システム |
|---|
| Research Abstract |
In this study, we consider a queueing model in which each waiting customer has a waiting time limit before the beginning of its service. We investigate the impact of the waiting time limits on the performance measures of the queueing model. To this end, we first we obtain the tail asymptotics of the waiting time distributions of served and impatient customers, and then provide an approximation for the waiting time distribution in an analytically tractable form. We next apply a Markovian approximation for the departure process of the impatient customers, and propose an approximation model. Through some simulation experiments, the approximation model is shown to have a good accuracy.
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