Modeling and Performance Evaluation of an Elevator System Using Queueing Theory
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- HATANAKA Takashi
- Goldman Sacks (Japan) Corp.
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- TAKINE Tetsuya
- Kyoto University
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- TAKAHASHI Yutaka
- Kyoto University
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- HASEGAWA Toshiharu
- Kyoto University
Bibliographic Information
- Other Title
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- エレベータシステムの待ち行列理論によるモデル化と性能評価
- エレベータ システム ノ マチギョウレツ リロン ニ ヨル モデルカ ト セイ
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Abstract
In this paper, we investigate the stochastic behavior of an elevator system from mathematical point of view. We formulate it as a queueing model and analyse its performance to derive the p.g.f. (probability generating function) of the queue length and to obtain the mean queue length. Based on the analytical results, we calculate the above performance measures under various types of scenarios and find that the mean queue length at each floor depends on its relative position to other floors as well as the arrival rate to the floor and the attainable speed of the elevator.
Journal
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- Transactions of the Institute of Systems, Control and Information Engineers
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Transactions of the Institute of Systems, Control and Information Engineers 6 (9), 396-406, 1993
THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)
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Details 詳細情報について
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- CRID
- 1390001205165512704
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- NII Article ID
- 10007137407
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- NII Book ID
- AN1013280X
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- ISSN
- 2185811X
- 13425668
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- NDL BIB ID
- 3836165
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed