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Title: E_m/E_k/1 輸出之相關結構
Correlation Structure of An Output Process in Em/Ek/1
Authors: 簡熾華
Contributors: 陸行
Keywords: 離去過程
Departure process
Interdeparture time distribution
Correltaion coefficient
Date: 2001
Issue Date: 2016-04-15 16:02:58 (UTC+8)
Abstract: 在本文中,我們主要研究的目標是Em/Ek/1模型的離去過程之相關性。
In this thesis, our goal is to study the correlation coefficients of the departure process in the E_m/E_k/1 model.
1 Introduction
1.1 Motivation
1.2 Importance of this study
1.3 Literature Review
1.4 Purpose of this study
1.5 Structure of this thesis
2 The Model
2.1 Definitions
2.2 Transition probability matrix
2.3 State balance equations
3 N-step interdeparture time distribution
4 Experiments
4.1 The correlation structure
4.2 Case study
4.3 Discussion
5 Conclusions
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Chang, C., ``On the input-output map of a G/G/1 queue'', Journal of Applied Probability 31, 1128-1133,1994.
Carroll, J.L., and Liefvoorf, A. D.E., and Lipsky, L., ``Solutions of M/G/1/N-type loops with extensions to $M/G/1$ and GI/M/1 queues", Operations Research 30, No.3, 1982 490-514.
Conolly, B., Lecture Notes on Queueing Systems. Ellis Horwood Limited, Sussex, England, 1975.
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Jenkins, J.H., ``On the correlation structure of the departure process of the M/E_lambda/1 queue. Journal of the Royal Statistical Society, Series B, Vol.28, No.2, 336-344, 1966.
King, R.A., ``The covariance structure of the queues and related processes-A survey of recent work." Advances in Applied Probability, Vol.7, No.2, 383-415, June 1975.
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Luh, H. ``The correlation structure of GI/G/1 queue" National ChengChi University, Taipei, Taiwan, preprint, 2001.
Mathematica, Copyright 1988-1999 Wolfram Research, Inc. Perros, H. G., ``On the M/C_k/1 queue", Performance Evaluation 3,1983 83-93.
Takagi, H. and Nishi, T. ``Correlation of interdeparture times in M/G/1 and M/G/1/K queues", Journal of the Operations Research Society of Japan, Vol.41, No. 1, March 1998.
Description: 碩士
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Data Type: thesis
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