Analysis of a Multiple Dual-Stage Vacation Queueing System with Disaster and Repairable Server

被引：4

作者：

Sudhesh, R. ^{[1
]}

Shapique A, Mohammed ^{[2
]}

Dharmaraja, S. ^{[3
]}

机构：

[1] Anna Univ, Dept Math, UCE BIT Campus, Tiruchirappalli 620024, India

[2] IFET Coll Engn, Dept Math, Villupuram, India

[3] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India

来源：

METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY | 2022年 / 24卷 / 04期

关键词：

Single server; WiMAX networks; Dual-stage vacation; Disaster; Repairable server; Transient probabilities; M/M/1; QUEUE; TRANSIENT ANALYSIS; CUSTOMERS IMPATIENCE; WORKING VACATIONS; BEHAVIOR; SUBJECT;

D O I：

10.1007/s11009-022-09926-5

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

An M/M/1 dual-stage vacation queueing system with a system disaster is analysed in this paper. This work is motivated by the dual-stage sleep mode mechanism in the MAC (Media Access Control) and the physical layer of a WiMAX system with Denial of Service. In this model, the server switches to two types of vacation called stage-I and stage-II vacation. Disaster can occur at any stage of the system and subsequent repair is considered. For this system, explicit expressions for transient and steady-state probabilities are computed. Further, performance indices like the mean, variance of the system size, the probability that the server is on vacation mode and busy mode, and system throughput have been computed. Finally, numerical illustrations are presented to understand the effect of the parameters on the system performance.

引用

页码：2485 / 2508

页数：24

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