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題名 | Analysis of Two Queueing Models with Explicit Rate Operators and Stationary Distributions |
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作者姓名(外文) | Zhang, Hongbo; Shi, Dinghua; | 書刊名 | International Journal of Information and Management Sciences |
卷期 | 22:2 2011.06[民100.06] |
頁次 | 頁177-188 |
分類號 | 494.542 |
關鍵詞 | QBD process with countable phases; Rate operator; Stationary distribution; The T-SPH/M/1 queue; The M/T-SPH/1 queue; |
語文 | 英文(English) |
英文摘要 | For QBD(quasi-birth-and-death) processes with countably many phases, it is well known that stationary distributions have operator-geometric forms. However, it is a challenging problem to determine the closed-form of both the rate operator (an infinite matrix) and stationary distribution for a given QBD process. In this paper, we will derive explicit rate operators and the stationary distributions for two special models: the T-SPH/M/1 queue and the M/T-SPH/1 queue, where T-SPH denotes the phase type distribution defined on the birth-and death process with countably many states. |
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