The Density Function of M/M/3/4 queue in steady state

碩士 === 國立交通大學 === 統計學研究所 === 106 === The goal of this paper is to find out the Density Function of M/M/3/4 in steady state. In section2.2, we obtained a balance relationship between different states through the system balance diagram. The probability density functions are obtained by solving by a co...

Full description

Bibliographic Details
Main Authors:	Liang, Jhih-Syuan, 梁志玄
Other Authors:	Peng, Nan-Fu
Format:	Others
Language:	zh-TW
Published:	2018
Online Access:	http://ndltd.ncl.edu.tw/handle/n7h296

id	ndltd-TW-106NCTU5337014
record_format	oai_dc
spelling	ndltd-TW-106NCTU53370142019-09-26T03:28:09Z http://ndltd.ncl.edu.tw/handle/n7h296 The Density Function of M/M/3/4 queue in steady state M/M/3/4隊伍平衡狀態下的機率密度函數 Liang, Jhih-Syuan 梁志玄碩士國立交通大學統計學研究所 106 The goal of this paper is to find out the Density Function of M/M/3/4 in steady state. In section2.2, we obtained a balance relationship between different states through the system balance diagram. The probability density functions are obtained by solving by a constant coefficient first-order differential equation formed by taking the small amount of change in the balance relation. In section2.3 and section 2.4, we compared the results with M/M/2/3, and validated with PASTA and solutions to life and death process. Section3 on numerical simulation presents the solution of the probability density function as a graph. Peng, Nan-Fu 彭南夫 2018 學位論文 ; thesis 22 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	碩士 === 國立交通大學 === 統計學研究所 === 106 === The goal of this paper is to find out the Density Function of M/M/3/4 in steady state. In section2.2, we obtained a balance relationship between different states through the system balance diagram. The probability density functions are obtained by solving by a constant coefficient first-order differential equation formed by taking the small amount of change in the balance relation. In section2.3 and section 2.4, we compared the results with M/M/2/3, and validated with PASTA and solutions to life and death process. Section3 on numerical simulation presents the solution of the probability density function as a graph.
author2	Peng, Nan-Fu
author_facet	Peng, Nan-Fu Liang, Jhih-Syuan 梁志玄
author	Liang, Jhih-Syuan 梁志玄
spellingShingle	Liang, Jhih-Syuan 梁志玄 The Density Function of M/M/3/4 queue in steady state
author_sort	Liang, Jhih-Syuan
title	The Density Function of M/M/3/4 queue in steady state
title_short	The Density Function of M/M/3/4 queue in steady state
title_full	The Density Function of M/M/3/4 queue in steady state
title_fullStr	The Density Function of M/M/3/4 queue in steady state
title_full_unstemmed	The Density Function of M/M/3/4 queue in steady state
title_sort	density function of m/m/3/4 queue in steady state
publishDate	2018
url	http://ndltd.ncl.edu.tw/handle/n7h296
work_keys_str_mv	AT liangjhihsyuan thedensityfunctionofmm34queueinsteadystate AT liángzhìxuán thedensityfunctionofmm34queueinsteadystate AT liangjhihsyuan mm34duìwǔpínghéngzhuàngtàixiàdejīlǜmìdùhánshù AT liángzhìxuán mm34duìwǔpínghéngzhuàngtàixiàdejīlǜmìdùhánshù AT liangjhihsyuan densityfunctionofmm34queueinsteadystate AT liángzhìxuán densityfunctionofmm34queueinsteadystate
_version_	1719257678349336576

The Density Function of M/M/3/4 queue in steady state

Similar Items