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Title: A Note on Simple Eigenvalues of Matrix Polynomials in Queueing Models with Erlang Distributions
Authors: 劉心怡
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
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