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https://ah.lib.nccu.edu.tw/handle/140.119/18862
題名: | A Note on Simple Eigenvalues of Matrix Polynomials in Queueing Models with Erlang Distributions | 作者: | 劉心怡 陸行 |
貢獻者: | 應用數學系 | 關鍵詞: | 65C40; 60J27; Matrix polynomials; Erlang distribution; quasibirth-and-death process | 日期: | 五月-2006 | 上傳時間: | 24-十二月-2008 | 摘要: | 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. | 關聯: | Journal of Applied Mathematics and Computing, 21(1/2), 57-67 | 資料類型: | article | DOI: | http://dx.doi.org/10.1007/BF02896388 |
Appears in Collections: | 期刊論文 |
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