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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/103908


    Title: 等候系統模型近似值之研究
    Authors: 黃俊敏
    Contributors: 陳文賢
    黃俊敏
    Date: 1984
    Issue Date: 2016-11-14 15:02:10 (UTC+8)
    Abstract: 第一章 緒論1
    第一節 研究動機與目的1
    第二節 研究範圍與研究方法2
    第三節 研究架構與內容2
    第二章 等候理論的基本觀念5
    第一節 等候問題特徵5
    第二節 符號說明7
    第三節 假設前提9
    第四節 Little`s公式10
    第五節 出生死滅過程14
    第六節 M / M / 1模型16
    第三章 已發展出的確切等候系統模型23
    第一節 嵌入馬可夫鏈23
    第二節 M / G / 1 模型25
    第三節 M / G / 1模型之應用33
    第四節 GI / M / 1模型39
    第五節 GI / M / 1模型之應用46
    第四章 等候系統近似值公式53
    第一節 GI / G / 1 模型53
    第二節 高度流動近似值公式61
    第三節 近似值界限公式67
    第四節 M/ G / 1 及 GI / M / 1 模型再討論73
    第五節 GI/ G / 1 模型再討論76
    第五章 模擬印證79
    第一節 模擬等候系統79
    第二節 M / G / 1 及 GI / M / 1 模型之印證81
    第三節 GI / G / 1 近似值模型之印證84
    第六章 結論89
    附錄目次
    (一)模擬等候系統程式95
    (二)模擬 GI / G / 1 系統各分配組合101
    (三) GI / G / 1模擬值104
    (四) GI / M / 1模型α值113
    (五) GI / M / 1及M / G / 1模型 Wilcoxon 符號等級檢定 114
    Reference: 1.李宗義編著，電腦語言FORTRAN Ⅳ，民國69年，增修訂十七版，頁352 ~ 355。
    2.卓武雄著，等候系統及其管理--設計與控制，民國69年初版。
    3. Barlow, Richard E. , and Proschan, Frank. Mathematical Theory of Reliability, 1973.
    4. Cinlar, Erhan. Introduction to Stochastic Processes , 1975.
    5. Cox, D. R. & Miller H. D. The Theory of Stochastic Process.
    6. Eilon, Samnel. A simpler proof of L=λW, Operations Research Vol. 17, pp 915~ 916, 1968.
    7. Gross, Donald & Harris, Carl M. Fundamentals of Queueing Theory John Wiley & Sons, Inc., 1974.
    8. Gibbons, J. D. Nonparametric Statistical Inference , 1976.
    9. Gohberg, I. C. & Feldman, I. A. Convolution Equations and Projection Methods, 1974.
    10. Gillett, Billy E. Introduction to Operations Research : A Computer-Oriented Algorithmic Approach, 1976.
    11. Hillier, F. S. & Yu, O. S. Queueing Tables and Graphs, 1981.
    12. Hillier, F. S. & Lieberman, G. J. Introduction to Operations Research 3rd edition, 1980.
    13. Hogg, R. V. & Craig, A. T. Introduction to Mathematical Statistics, 1978.
    14. I vanov , V. V. The Theory of Approximate Method, 1976.
    15. Jewell, W. S. A Simple proof of：L=λW Operations Research Vol. 15. pp 1109~1116, 1967.
    16. Kleinrock, Leonard Queueing System Vol. 1：Theory, 1976.
    17. Kleinrock, Leonard Queueing System Vol. 2：Computer Applications, 1976.
    18. Kingman, J. F. C. On Queues in Heavy Traffic JRSS(B) 24, pp 383~392, 1962.
    19. Kingman, J. F. C. Some Inequalities for the Queues GI/G/1 , Biometrika 49, 1962, pp 315~324.
    20. Kingman, J. F. C. Inequalities in the Theory of Queues, JRSS(B) 32, 1970, pp 102~110.
    21. Kendall, D. G. Stochastic Process Occuring in the Theory of Queues and Their Analysis by the Method of the Imbedded Markov Chain, Ann. Math. Statistics 24, 1953, pp 338~353.
    22. Little, J. D. C. A proof for the Queueing Formula：L=λW, O. R. Vol. 9, 1960, pp 383~387.
    23. Lehmann, E. L. Nonparametrics : Statistical Methods Based on Ranks. Holden-Day, Inc. ( 1975 )
    24. Law, Averill M. & Kelton, W. D. Simulation Modeling and Analysis 1982.
    25. Morse, P. M. Queues, Inventories & Maintenance, 1958, pp 15~16.
    26. Marshall, K. T. Some Inequalities in Queueing O. R. 16, 1968 pp 651~665.
    27. Mood, A. M., Graybill, F. A. & Boes, D. C. Introduction to the Theory of Statistics, 1974.
    28. Pala, E. R. , Beloso, C. A. & Hines, W. W. Waiting-Line Models : An Introduction to Their Theory & Application, 1967.
    29. Reid. A. T. B. Elements of Theory of Markov Processes and Their Application, 1960.
    30. Rubinstein, R. Y. Simulation and Monte Carlo Method, 1981, pp 86~91.
    Relation: 國立政治大學
    統計研究所
    碩士
    72
    Data Type: thesis
    Appears in Collections:[Department of Statistics] Theses

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