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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 資訊工程學系
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/15254
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dc.contributor.advisor陳健輝(Gen-Huey Chen)
dc.contributor.authorYu-Chen Chenen
dc.contributor.author陳語宸zh_TW
dc.date.accessioned2021-06-07T17:28:59Z-
dc.date.copyright2020-03-03
dc.date.issued2020
dc.date.submitted2020-02-21
dc.identifier.citation[1] A. Bar-Noy, S. Kipnis, and B. Schieber. Optimal Multiple Message Broadcasting in Telephone-Like Communication Systems. Discrete Applied Mathematics, 100(1– 2):1–15, 2000.
[2] A. Bar-Noy and S. Kipnis. Multiple Message Broadcasting in the Postal Model. Networks, 29(1): 1–10, 1997.
[3] A. Bar-Noy, S. Guha, J. Naor, and B. Schieber. Message Multicasting in Heterogeneous Networks. SIAM J. Comput., 30(2): 347–358, 2000.
[4] Keng-Chien Chang. Finding Broadcast 2-Medians on a Weighted Tree under the Postal Model. Master thesis, 2018.
[5] H.-I. Y. C.-C. L. C.-H. Tsou, G-H. Chen. The broadcast median problem in heterogeneous postal model. J Comb Optim, 2013.
[6] M.Elkin and G. Kortsarz. Sublogarithmic approximation for telephone multicast. J Comput. Syst. Sci, 72: 648–659, 2006.
[7] J.-M. Koh and D.-W. Tcha. Information dissemination in trees with nonuniform edge transmission times. IEEE Trans. Comput., 40(10): 1174–1177, 1991.
[8] Nimrod Megiddo. Linear-time algorithms for linear programming in R3 and related problems. SIAM J Comput., 12: 759–776, 1983.
[9] P. J. Slater, E. J. Cockayne, and S. T. Hedetniemi. Information of dissemination in trees. SIAM J. Comput., 1981.
[10] D. L., Y.-H. Su, and C.-C. Lin. Broadcasting in weighted trees under the postal model. Theor. Comput, 2016.
[11] Y.-H. Su, C.-C. Lin, and D. Lee. Broadcasting in Heterogeneous Tree Networks. Proc.16th Ann. Int. Conf. on Comp. comb(COCOON), 368–377. Springer-Verlag, 2010.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/15254-
dc.description.abstract本論文提出一個O(nlogn)時間複雜度的演算法,來解決傳遞規則是電話模型的加權樹狀結構下的廣播重心問題。首先,我透過證明一為最佳傳遞順序的策略來達到最小的廣播時間。接著,我在演算法設計上運用了動態規劃的概念,發現可以使用迴圈方式,按照順序來計算,快速地得到各個點分別當廣播起點所需花費的廣播時間;並且以往回取值的方式來實作,利用記憶體空間減少計算上的重複,有效地降低計算上的時間複雜度。zh_TW
dc.description.abstractFor the case of broadcasting on the structure of a tree which is composed of non-uniform edges and weighted vertices in a telephone-like communication system. I showed that a simple ordering policy achieves the minimum overall delay for any given source v and proposed an O(nlogn) time complexity algorithm using dynamic programming technique to determine a set of broadcast medians on such a weighted tree.en
dc.description.provenanceMade available in DSpace on 2021-06-07T17:28:59Z (GMT). No. of bitstreams: 1
ntu-109-R05922058-1.pdf: 1355098 bytes, checksum: 3aa5ebeb3d005e7de1edd95e86b5afae (MD5)
Previous issue date: 2020
en
dc.description.tableofcontents口試委員會審定書 iii
誌謝 v
摘要 vii
Abstract ix
1 Introduction 1
1.1 Problem definition 3
1.2 Related work 4
1.3 Notations and definitions 5
2 The Proposed Algorithm 6
2.1 Preliminaries 6
2.2 Observations 8
2.3 A general formula 14
2.4 Computing overall delay differences 15
2.5 An algorithm for finding broadcast medians 17
3 Time Complexity 20
3.1 On the star topology 20
3.2 On the general tree 21
4 Concluding Remarks 23
References 24
dc.language.isozh-TW
dc.subject動態規劃zh_TW
dc.subject廣播重心zh_TW
dc.subject電話模型zh_TW
dc.subject加權樹zh_TW
dc.subject廣播時間差通式zh_TW
dc.subjectbroadcast medianen
dc.subjectdynamic programmingen
dc.subjectthe general formula of overall delay differencesen
dc.subjectweighted vertexen
dc.subjectnon-uniform telephone modelen
dc.title加權樹上基於電話模型的廣播重心問題zh_TW
dc.titleFinding Broadcast Medians on a Weighted Tree under the Telephone Modelen
dc.typeThesis
dc.date.schoolyear108-1
dc.description.degree碩士
dc.contributor.coadvisor林清池(Ching-Chi Lin)
dc.contributor.oralexamcommittee傅榮勝(Jung-Sheng Fu),張貴雲(Guey-Yun Chang)
dc.subject.keyword廣播重心,電話模型,加權樹,廣播時間差通式,動態規劃,zh_TW
dc.subject.keywordbroadcast median,non-uniform telephone model,weighted vertex,the general formula of overall delay differences,dynamic programming,en
dc.relation.page25
dc.identifier.doi10.6342/NTU202000067
dc.rights.note未授權
dc.date.accepted2020-02-21
dc.contributor.author-college電機資訊學院zh_TW
dc.contributor.author-dept資訊工程學研究所zh_TW
Appears in Collections:資訊工程學系

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