| 急诊非强占优先权下Geom/NB/1排队系统常规病人等待时间及损失率 |
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| 引用本文： | 周杰,李军,郭鹏,余玅妙.急诊非强占优先权下Geom/NB/1排队系统常规病人等待时间及损失率[J].系统工程理论与实践,2016,36(8):2135-2143. |
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| 作者姓名： | 周杰 李军 郭鹏 余玅妙 |
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| 作者单位： | 1. 西南交通大学 经济管理学院, 成都 610031;2. 四川师范大学 商学院, 成都 610101;3. 贵阳学院 经济管理学院, 贵阳 550005;4. 四川理工学院 理学院, 自贡 643000 |
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| 基金项目： | 国家自然科学基金（71490722，71301111）；国家社会科学基金（15BGL198）；四川师范大学科研基金（16YB33） |
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| 摘 要： | 考虑CT室具有急诊非强占优先权和常规病人有限容量的Geom/NB/1排队系统.首先构造一个二维拟生灭链,用矩阵几何解方法获得平稳分布.对同一排队系统再构造一个一维生死链,用全概率分解技术获得处于等待队列第J相位的常规病人的等待时间.然后用平稳分布获得任意一个常规病人的期望等待时间和他被拒绝进入的概率.最后以医院实际数据为基础给出数值算例.分析可变参数对常规病人队列等待时间,损失率和医疗资源利用率的影响.
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| 关 键 词： | 急诊非强占优先权下Geom/NB/1排队系统 医疗运作管理 矩阵几何解 全概率分解 |
| 收稿时间： | 2015-06-17 |
Geom/NB/1 queueing system with emergency non-preemptive priority-waiting time and loss rate for regular patients |
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| ZHOU Jie,LI Jun,GUO Peng,YU Miaomiao.Geom/NB/1 queueing system with emergency non-preemptive priority-waiting time and loss rate for regular patients[J].Systems Engineering —Theory & Practice,2016,36(8):2135-2143. |
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| Authors: | ZHOU Jie LI Jun GUO Peng YU Miaomiao |
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| Institution: | 1. School of Economics and Management, Southwest Jiaotong University, Chengdu 610031, China;2. Business School, Sichuan Normal University, Chengdu 610101, China;3. School of Economics and Management, Guiyang University, Guiyang 550005, China;4. School of Science, Sichuan University of Science and Engineering, Zigong 643000, China |
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| Abstract: | This paper considers a Geom/NB/1 queueing system with emergency non-preemptive priority and finite regular capacity. Firstly, a two-dimension quasi-birth-death chain is established. The steady-state probability distribution is obtained by matrix geometric solution method. Then we construct a one-dimension birth-death chain of the same queueing system to obtain the waiting time of the jth phase regular patient in the waiting queueing by total probability decomposition. We give the expected waiting time of an arbitrary regular patient in the waiting queueing, loss rate of regular patient and utilization rate of medical resources. Finally, numerical analysis which is based on historical data from hospital is given to show the impact of the parameters on system performance. |
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| Keywords: | Geom/NB/1 queueing system with emergency non-preemptive priority healthcare operations management matrix geometric solution total probability decomposition |
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