2015年1月
STRUCTURE-REVERSIBILITY OF A TWO-DIMENSIONAL REFLECTING RANDOM WALK AND ITS APPLICATION TO QUEUEING NETWORK
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES
- ,
- ,
- 巻
- 29
- 号
- 1
- 開始ページ
- 1
- 終了ページ
- 25
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1017/S0269964814000199
- 出版者・発行元
- CAMBRIDGE UNIV PRESS
We consider a two-dimensional reflecting random walk on the non-negative integer quadrant. It is assumed that this reflecting random walk has skip-free transitions. We are concerned with its time-reversed process assuming that the stationary distribution exists. In general, the time-reversed process may not be a reflecting random walk. In this paper, we derive necessary and sufficient conditions for the time-reversed process also to be a reflecting random walk. These conditions are different from but closely related to the product form of the stationary distribution.
- リンク情報
- ID情報
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- DOI : 10.1017/S0269964814000199
- ISSN : 0269-9648
- eISSN : 1469-8951
- Web of Science ID : WOS:000351999000001