| Erlang消失系统的离散时间建模分析 |
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| 引用本文： | 田乃硕,刘洺辛,马占友,徐秀丽.Erlang消失系统的离散时间建模分析[J].系统工程与电子技术,2006,28(6):823-826. |
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| 作者姓名： | 田乃硕 刘洺辛 马占友 徐秀丽 |
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| 作者单位： | 1. 燕山大学理学院,河北,秦皇岛,066004
2. 燕山大学信息科学与工程学院,河北,秦皇岛,066004 |
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| 基金项目： | 国家自然科学基金资助课题(1027102) |
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| 摘 要： | 针对数字通信中信源的特点,应用离散时间排队Geom/Geom/c/c对经典Erlang消失系统进行建模分析。要假设离散时间点上有多个到达和离去的基础之上,通过给出在稳态条件下系统中顾客数的母函数满足的函数方程,推导出系统稳态的消失概率(Loss Probability)和平均队长的表达式。并且设计出计算稳态队长概率和损失概率的递推算法,从而获得了系统重要的稳态性能指标。最后通过数值例子说明了顾客损失率与系统各参数之间的关系。
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| 关 键 词： | 离散时间排队 损失系统 马尔可夫链 |
| 文章编号： | 1001-506X(2006)06-0823-04 |
| 修稿时间： | 2005年7月7日 |
Performance analysis of discrete-time Erlang loss system |
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| TIAN Nai-shuo,LIU Ming-xin,MA Zhan-you,XU Xiu-li.Performance analysis of discrete-time Erlang loss system[J].System Engineering and Electronics,2006,28(6):823-826. |
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| Authors: | TIAN Nai-shuo LIU Ming-xin MA Zhan-you XU Xiu-li |
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| Abstract: | According to the property of cells in the digital communication,The Erlang loss system is modeled with a discrete-time Geom/Geom/c/c queue.In this queueing system,multiple arrivals and departures in the discrete-time spot are supposed the function equation that the generating function of the number of customers satisfies in the steady-state system is given,and the formula of the loss probability and the mean queue length are derived.Furthermore,the recursive method to compute the stationary queue length probability and the loss probability is developed,and the important stationary indices in the system are obtained.Finally,with a numerical example,the relation between loss probability and various parameters is explained. |
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| Keywords: | discrete-time queue loss system Markov chain |
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