Transient Analysis of an M/M/1 Queueing System Subjected to Multiple Differentiated Vacations, Impatient Customers and a Waiting Server with Application to IEEE 802.16E Power Saving Mechanism

被引：17

作者：

Sampath, M. I. G. Sampath ^{[1
]}

Kalidass, K. ^{[2
]}

Liu, Jicheng ^{[3
]}

机构：

[1] Univ Kelaniya, Library, Kelaniya 11600, Sri Lanka

[2] Karpagam Acad Higher Educ, Dept Math, Coimbatore 641021, Tamil Nadu, India

[3] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2020年 / 51卷 / 01期

关键词：

M; 1; queue; customer impatience; multiple differentiated vacations; transient analysis; Laplace transform; continued fraction; QUEUES;

D O I：

10.1007/s13226-020-0402-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An M/M/1 queueing system subjected to multiple differentiated vacations, customer impatience and a waiting server is analyzed. The explicit transient probabilities of system size are derived using probability generating function technique, Laplace transform, continued fractions and some properties of confluent hypergeometric function. Further, the time-dependent mean and variance are obtained as the performance measures. A numerical example is presented in order to study the behavior of the system.

引用

页码：297 / 320

页数：24

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