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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 資訊工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43833
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dc.contributor.advisor劉邦鋒
dc.contributor.authorHung-Jui Changen
dc.contributor.author張紘睿zh_TW
dc.date.accessioned2021-06-15T02:29:59Z-
dc.date.available2009-08-20
dc.date.copyright2009-08-20
dc.date.issued2009
dc.date.submitted2009-08-15
dc.identifier.citation[1] LCG: LHC Computing Grid. http://lcg.web.cern.ch/LCG/.
[2] BIRN: The Biomedical Informatics Research Network. http://www.nbirn.net/.
[3] J. D. Ullman. Np-complete scheduling problems. Journal of Computer and System
Sciences, 10(3):384–393, 1975.
[4] M. Garey and D. Johnson. Computers and Intractability: A Guide to the Theory of
NP-Completeness. WH Freeman and Co. New York, NY, USA., 1979.
[5] C. Chekuri, R. Motwani, B. Natarajan, and C. Stien. Approximation techniques for
average completion time scheduling. In SODA, pages 609–618, 1997.
[6] L. A. Hall, D. B. Shmoys, and J. Wein. Scheduling to minimize average completion
time: Off-line and on-line algorithms. In SODA, pages 142–151, 1996.
[7] Y. Guan,W. Xiao, R. K. Cheung, and C. Li. A multiprocessor task schedulingmodel
for berth allocation: heuristic and worst-case analysis. Operations Research Letters,
30(5):343–350, 2002.
[8] S. Albers. Better bounds for online scheduling. In STOC, pages 130–139, 1997.
[9] M. Dell’Amico,M. Iori, and S. Martello. Heuristic algorithms and scatter search for
the cardinality constrained p
dc.identifier.citationcmax problem. Journal of Heuristics, 10(2):169–204,
2004.
[10] M. R. Garey and R. L. Graham. Bounds for multiprocessor scheduling with resource
constraints. SIAM Journal on Computing, 4(2):187–200, 1975.
[11] E. Naroska and U. Schwiegelshohn. On an on-line scheduling problem for parallel
jobs. Information Processing Letters, 81(6):297–304, 2002.
[12] R. Yahyapour U. Schwiegelshohn, A. Tchernykh. Online scheduling in grids. In
22nd IEEE International Symposium on Parallel and Distributed Processing, pages
1–10, 2008.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43833-
dc.description.abstract本篇論文提出了將進入系統時間,執行時間及所需處理器皆相異的工作指派到不同處理器基數上的排程演算法。我們證明了這是一個NP完備的問題,並提出了動態規劃的方法求得最佳解。由於動態規劃需要大量的時間計算,我們還提出了有效的加速法來改善我們的動態規劃。我們還提出了快速的啟發示算法來解個個問題。實驗結果說明了部份啟發示算法不僅是執行時間快速,也能提供相當良好的解答。zh_TW
dc.description.abstractThis paper proposes scheduling algorithms for assigning jobs with different release time and execution time, to machines with heterogeneous processor cardinality. We show that this scheduling problem is NP-complete, and propose dynamic programming to find the optimal schedules. Since the dynamic programming is time-consuming we propose techniques that improve the efficiency of the dynamic programming. We also propose heuristic algorithms for this scheduling problem. Experimental results suggest that some of the heuristics not only compute the answer efficiently but also provide good solution.en
dc.description.provenanceMade available in DSpace on 2021-06-15T02:29:59Z (GMT). No. of bitstreams: 1
ntu-98-R96922136-1.pdf: 3600929 bytes, checksum: 2478b4dc5f48787775395ecd91fe3db4 (MD5)
Previous issue date: 2009
en
dc.description.tableofcontentsAcknowledgement i
Chinese Abstract ii
Abstract iii
1 Introduction 1
2 Related Works 3
3 Model and Problem Definition 5
3.1 Grid System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
3.2 Job Set . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
3.3 A Schedule Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
3.4 Notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
4 Algorithms 8
4.1 NP-completeness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
4.2 Schedule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
4.3 Dynamic Programing . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
4.3.1 Table Element Definition . . . . . . . . . . . . . . . . . . . . . . 9
4.3.2 Recursive Formula . . . . . . . . . . . . . . . . . . . . . . . . . 9
4.3.3 Time complexity . . . . . . . . . . . . . . . . . . . . . . . . . . 11
4.4 Improvements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
4.5 Heuristic Algorithms . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
4.6 Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
5 Experimental Results 18
5.1 Environment Setting . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
5.2 All-Zero-Release-Time . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
5.3 Non-Zero-Release-Time . . . . . . . . . . . . . . . . . . . . . . . . . . 20
6 Conclusion 24
Bibliography 25
dc.language.isoen
dc.subject分散式系統zh_TW
dc.subject排程zh_TW
dc.subject完工時間zh_TW
dc.subject動態規劃zh_TW
dc.subjectNP完備zh_TW
dc.subject處理器基數zh_TW
dc.subjectNP-completeen
dc.subjectmakespanen
dc.subjectscheduleen
dc.subjectdistributed systemen
dc.subjectProcessor cardinalityen
dc.subjectdynamic programingen
dc.title異質處理器基數的分散式系統中的排程技巧zh_TW
dc.titleJob Scheduling Techniques for Distributed Systems with Heterogeneous Processor Cardinalityen
dc.typeThesis
dc.date.schoolyear97-2
dc.description.degree碩士
dc.contributor.oralexamcommittee王大為,薛智文
dc.subject.keyword處理器基數,分散式系統,排程,完工時間,動態規劃,NP完備,zh_TW
dc.subject.keywordProcessor cardinality,distributed system,schedule,makespan,dynamic programing,NP-complete,en
dc.relation.page26
dc.rights.note有償授權
dc.date.accepted2009-08-17
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
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