A Note on Simple Eigenvalues of Matrix Polynomials in Queueing Models with Erlang Distributions

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

DC Field	Value	Language
dc.contributor.author	應用數學系	-
dc.creator	劉心怡	zh_TW
dc.creator	陸行	zh_TW
dc.date	2006-05	en_US
dc.date.accessioned	2008-12-24T05:40:25Z	-
dc.date.available	2008-12-24T05:40:25Z	-
dc.date.issued	2008-12-24T05:40:25Z	-
dc.identifier.uri	https://nccur.lib.nccu.edu.tw/handle/140.119/18862	-
dc.description.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.	-
dc.format	application/pdf	en_US
dc.format.extent	167151 bytes	-
dc.format.mimetype	application/pdf	-
dc.language	en	en_US
dc.language	en-US	en_US
dc.language.iso	en_US	-
dc.relation	Journal of Applied Mathematics and Computing, 21(1/2), 57-67	en_US
dc.subject	65C40; 60J27; Matrix polynomials; Erlang distribution; quasibirth-and-death process	-
dc.title	A Note on Simple Eigenvalues of Matrix Polynomials in Queueing Models with Erlang Distributions	en_US
dc.type	article	en
dc.identifier.doi	10.1007/BF02896388	-
dc.doi.uri	http://dx.doi.org/10.1007/BF02896388	-
item.fulltext	With Fulltext	-
item.grantfulltext	open	-
item.openairecristype	http://purl.org/coar/resource_type/c_18cf	-
item.languageiso639-1	en_US	-
item.openairetype	article	-
item.cerifentitytype	Publications	-
Appears in Collections:	期刊論文

File	Size	Format
HLuh0822F.pdf	163.23 kB	Adobe PDF2	View/Open

Check