摘要
文章基于博弈理论和排队理论对带有阈值调控策略的流体休假排队模型进行经济学分析.假设缓冲器在休假期和工作期之间交替运行,且在工作期内根据流体水平大小提供高速和低速两种服务速率.在完全可见的情况下,利用更新过程理论和线性常微分方程组的标准型理论得到流体均衡止步策略和稳态概率分布,进而利用经典Laplace-Stieltjes变换(LST)给出稳态下缓冲器的平均流体水平.根据经济学和效用型原理,建立结构合理的社会收益函数,并利用粒子群优化算法对使用BitTorrent Sync软件的节点进行性能分析.最后通过数值仿真,研究了平均社会收益的敏感性变化,研究结果可为移动通信网络中的管理和调控提供参考.
Based on the game theory and the queueing theory,this paper considers the economic analysis for a threshold control fluid vacation queue.The buffer alternates between the vacation period and the working period and provides different service rates during the working period depending on the fluid level.In the fully observable case,the equilibrium balking strategy and the steady-state probability distribution are obtained based on the renewal process and the standard theory of linear ordinary differential equations.Furthermore,the expected fluid level can be calculated by the classical Laplace-Stieltjes Transform(LST)method.The expected social benefit function is constructed reasonably according to the economics and utility theory,and the performance of nodes that use BitTorrent Sync is optimized by the Particle Swarm Optimization(PSO)algorithm.Finally,the sensitivity of the expected social benefit is illustrated by several numerical examples,and the results can be applied for management and regulation in a mobile communication network.
作者
张怡通
徐秀丽
ZHANG Yitong;XU Xiuli(School of Economics and Management,Yanshan University,Qinhuangdao 066004;School of Science,Yanshan University,Qinhuangdao 066004)
出处
《系统科学与数学》
CSCD
北大核心
2022年第9期2531-2554,共24页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金项目(62171143)
河北省高等学校科学研究重点项目(ZD2019079)资助课题。
关键词
流体排队
休假
阈值策略
均衡分析
粒子群优化
Fluid queue
vacations
threshold policy
equilibrium analysis
particle swarm optimization
