一类休假排队平稳队长的数值计算与渐近分析

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一类休假排队平稳队长的数值计算与渐近分析张宏波¹, 史定华²1. 河南财政金融学院数学与统计学院, 郑州 450046;
2. 上海大学理学院, 上海 200444 Numerical Computation and Tail Asymptotic for Queue Length of a Vacation Queue ZHANG Hongbo¹, SHI Dinghua²1. School of Mathematics and Statistics, Henan Institute of Finance and Banking, Zhengzhou 450046, China;
2. School of College, Shanghai University, Shanghai 200444, China

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摘要本文讨论休假时间服从T-SPH分布的M/M/1休假排队平稳附加队长分布的数值计算以及尾部渐近特征，其中T-SPH表示可数状态吸收生灭过程吸收时间的分布.在分布PGF的基础上，得到了多重休假和单重休假两种情形平稳附加队长以及队长各阶阶乘矩的迭代公式和渐近公式，并用数值例子检验了方法的有效性.

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收稿日期: 2016-11-17

PACS:	O226
	O171

基金资助:国家自然科学基金（61174160），河南省科技攻关计划项目（172102210242），河南省高等学校青年骨干教师（2014GGJS-136）和河南省高等学校重点科研（16A110002）资助项目.

引用本文:

张宏波, 史定华. 一类休假排队平稳队长的数值计算与渐近分析[J]. 应用数学学报, 2017, 40(5): 770-780. ZHANG Hongbo, SHI Dinghua. Numerical Computation and Tail Asymptotic for Queue Length of a Vacation Queue. Acta Mathematicae Applicatae Sinica, 2017, 40(5): 770-780.

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