| 具可变输入率的M/M/n模型的常微分方程形式 |
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| 引用本文： | 刘宇民,李晓芬,王文霞,宋儒瑛. 具可变输入率的M/M/n模型的常微分方程形式[J]. 太原科技大学学报, 2006, 27(6): 438-440 |
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| 作者姓名： | 刘宇民 李晓芬 王文霞 宋儒瑛 |
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| 作者单位： | 太原师范学院数学系,太原,030012 |
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| 基金项目： | 山西省自然科学基金;山西省教育厅教改项目 |
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| 摘 要： | 针对实际中存在的排队现象：顾客在加入队列之前发现排队顾客较多而发生犹豫，从而因影响他加入队列的可能性。利用随机建模的全概率法则推导了具有可变输入率的M／M／n模型的常微分方程形式，为从理论上分析该模型动态解及其稳定性奠定了基础。
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| 关 键 词： | M/M/n模型 全概率法则 常微分形式 |
| 文章编号： | 1673-2057(2006)06-0438-03 |
| 修稿时间： | 2006-06-09 |
An Ordinary Differential Equation on the M/M/n Model with Variable Import Rate |
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| LIU Yu-min,LI Xiao-fen,WANG Wen-xia,SONG Ru-ying. An Ordinary Differential Equation on the M/M/n Model with Variable Import Rate[J]. Journal of Taiyuan University of Science and Technology, 2006, 27(6): 438-440 |
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| Authors: | LIU Yu-min LI Xiao-fen WANG Wen-xia SONG Ru-ying |
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| Abstract: | According to the mass queuing phenomenon in reality, the will-be-in-queue customer would hesitate about the more in-queue customers,thus the probability of his in-queue would be influenced.By using the whole probability principle of random modeling,an ordinary differential equation on the M/M/n model with variable import rate is deduced,which provides a basis for the theoretical analysis on the M/M/n model's dynamic solution and stability. |
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| Keywords: | M/M/n model whole probability principle ordinary differential form |
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