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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/18862

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/18862

Title:	A Note on Simple Eigenvalues of Matrix Polynomials in Queueing Models with Erlang Distributions
Authors:	劉心怡陸行
Contributors:	應用數學系
Keywords:	65C40;60J27;Matrix polynomials;Erlang distribution;quasibirth-and-death process
Date:	2006-05
Issue Date:	2008-12-24 13:40:25 (UTC+8)
Abstract:	In this note, we study an Ek/Em/1 queueing model where interarrival and service times are Erlang distributions with parameters k and m respectively. We prove that the roots of the characteristic polynomial associated with Erlang distributions are simple if the arrival and service rates are real. Based on this result, a general solution space of vectors for stationary probabilities is easily constructed.
Relation:	Journal of Applied Mathematics and Computing, 21(1/2), 57-67
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1007/BF02896388
DOI:	10.1007/BF02896388
Appears in Collections:	[應用數學系] 期刊論文

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