带启动时间的休假流体模型的止步策略分析

王硕, 徐秀丽

应用数学学报 ›› 2018, Vol. 41 ›› Issue (6) : 846-857.

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应用数学学报 ›› 2018, Vol. 41 ›› Issue (6) : 846-857. DOI: 10.12387/C2018066
论文

带启动时间的休假流体模型的止步策略分析

    王硕1, 徐秀丽2
作者信息 +

The Balking Strategies of Fluid Vacation Model with Setup Time

    WANG Shuo1, XU Xiuli2
Author information +
文章历史 +

摘要

本文主要对具有启动时间和休假可中断策略的流体排队模型进行经济学分析.假设当流体到达系统时，以其观察到的缓冲器状态为依据来计算个体净收益，进而决定是否进入缓冲器排队.基于以上条件，对该模型从经济学角度展开分析，在完全可视和几乎可视两种情况下分别讨论了：当只考虑个体收益时流体的止步策略及单位时间内社会收益达到最优时流体的止步策略.通过对该排队模型进行相关分析，给个体和决策者提出相应合理化建议，以实现收益最优.

Abstract

This paper mainly analyzes the fluid model with setup time and interruptible vacation strategy economically. Assuming that the fluid will be able to calculate the net benefits of the individual based on the states of the buffer once it reaches the system, and then decide whether to enter the buffer. Based on the above conditions, the balking strategies are discussed in both fully observable case and almost observable case considering fluid individual benefits and maximum social benefits per unit time. This paper attempts to make a reasonable proposal for individual and policy makers to realize the optimal benefits through the correlation analysis of this model.

关键词

流体排队 / 启动时间 / 休假中断 / 止步策略

Key words

fluid queue / setup time / interruptible vacation / balking strategies

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王硕, 徐秀丽. 带启动时间的休假流体模型的止步策略分析. 应用数学学报, 2018, 41(6): 846-857 https://doi.org/10.12387/C2018066
WANG Shuo, XU Xiuli. The Balking Strategies of Fluid Vacation Model with Setup Time. Acta Mathematicae Applicatae Sinica, 2018, 41(6): 846-857 https://doi.org/10.12387/C2018066

参考文献

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基金

国家自然科学基金（No：11201408）资助项目.
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