M/E_k/1排队模型研究

基金项目:

新疆维吾尔自治区科学技术厅基金项目(200623106)

Studies on the M/E_k/1 Queueing Model

摘要: 首先运用C0-半群理论证明M/Ek/1排队模型有唯一的概率瞬态解,然后研究对应于M/Ek/1排队模型的主算子的谱特征,最后得到在一定的条件下该模型的时间依赖解强收敛于该模型的稳态解
- M/Ek/1排队模型 /
- C0-半群 /
- 时间依赖解 /
- 谱
Abstract: It is firstly proved by using C0 -semigroup theory that the M/Ek/1 queueing model has a unique positive time dependent solution which satisfies probability condition, then the spectral properties of the operator corresponding to this model is studied. Finally it is given that under certain condition the time dependent solution of the model converges strongly to the steady state solution of the model.
- M/Ek/1 queueing model /
- C0- semigroup /
- time dependent solution /
- spectrum

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