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研究生: 徐仲煒
Jhong-Wei Syu
論文名稱: 新複合傳送策略的廣義不阻塞
Wide-sense Nonblocking Under New Compound Routing Strategies
指導教授: 郭君逸
Guo, Jun-Yi
學位類別: 碩士
Master
系所名稱: 數學系
Department of Mathematics
論文出版年: 2010
畢業學年度: 98
語文別: 中文
論文頁數: 41
中文關鍵詞: 嚴格不阻塞廣義不阻塞克勞斯三級式網路多重對數網路
英文關鍵詞: SNB, WSNB, 3-stage Clos network, multi-log_d N network
論文種類: 學術論文
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  • 張等人證明了對稱三級式克勞斯網路和多重對數網路在「沒用到的中繼交換器留到最後(STU)」、「最忙碌的中繼交換器優先(P)」、「最小編號的中繼交換器優先(MI)」、「從上次編號的中繼交換器開始(CS)」以及「從下一個編號的中繼交換器開始(CD)」這六個傳送策略下,達成廣義不阻塞所需的條件和嚴格不阻塞是一樣的。在這篇論文裡,我們從 P 和 STU 這兩個策略延伸出六個新的傳送策略,並且證明出和嚴格不阻塞一樣的結果。我們也針對了垂直多重網路考慮了一些條件,並證明在這些條件下,達成廣義不阻塞在這六個策略下所需的條件和嚴格不阻塞是一樣的。

    Chang et al. showed that the symmetric 3-stage Clos network or the multi-log_d N network is SNB if and only if it is WSNB under any of the five strategies: save the unused, packing, cyclic dynamic, and cyclic static. In this paper, we extend the strategies P and STU to six new strategies and get the same results for these strategies. We also consider the conditions of the vertical-copy network such that it is SNB if and only if it is WSNB under these six strategies.

    誌謝 i 摘要 ii ABSTRACT iii CONTENTS iv CHAPTER 1 INTRODUCTION 1 CHAPTER 2 WSNB FOR 3-STAGE CLOS NETWORK 4 CHAPTER 3 WSNB FOR MULTI-LOG_d N 23 CHAPTER 4 WSNB FOR VERTICAL-COPY NETWORK 31 REFERENCE 41

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