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

共 50 条

[41] A retrial inventory system with single and modified multiple vacation for server
I. Padmavathi
B. Sivakumar
G. Arivarignan
[J]. Annals of Operations Research, 2015, 233 : 335 - 364
[42] Optimal and Sensitivity Analysis of Vacation Queueing System withF-Policy and Vacation Interruption
Shekhar, Chandra
Varshney, Shreekant
Kumar, Amit
[J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2020, 45 (08) : 7091 - 7107
[43] The M/M/1 Repairable Queueing System with Two Types of Server Breakdowns and Negative Customers
Lv, Shengli
Yang, Man
Wen, Jingyi
[J]. ENGINEERING LETTERS, 2024, 32 (01) : 77 - 83
[44] The optimal control of an M/G/1 queueing system with server startup and two vacation types
Ke, JC
[J]. APPLIED MATHEMATICAL MODELLING, 2003, 27 (06) : 437 - 450
[45] Modified T vacation policy for an M/G/1 queueing system with an unreliable server and startup
Ke, JC
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2005, 41 (11-12) : 1267 - 1277
[46] Unreliable server with Non-Markovian Retrial Queueing System, Bernoulli Vacation and Fortuitous breakdown
Bharathi, J.
Nandhini, S.
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 45 (06) : 10089 - 10098
[47] TIME-DEPENDENT BEHAVIOUR OF AN M/M/3 HETEROGENEOUS SERVER QUEUEING SYSTEM WITH MULTIPLE VACATIONS SUBJECT TO SYSTEM DISASTER
Karthick, Venugopal
Suvitha, Vaidhiyanathan
[J]. MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING, 2024,
[48] Asymptotic Analysis of the System with Server Vacation and Perishable Inventory
Koroliuk V.S.
Melikov A.Z.
Ponomarenko L.A.
Rustamov A.M.
[J]. Cybernetics and Systems Analysis, 2017, 53 (4) : 543 - 553
[49] Analysis of the MAP/M/1 Retrial Queueing Model with Markovian Flow of Breakdowns Repairable Server
Zhou, Zhenchuan
Zhou, Zonghao
[J]. PROCEEDINGS OF 2018 IEEE 4TH INFORMATION TECHNOLOGY AND MECHATRONICS ENGINEERING CONFERENCE (ITOEC 2018), 2018, : 1082 - 1085
[50] THE STUDY AND ANALYSIS OF THE COMPLETE COOLING DUAL-STAGE COMPRESSION SYSTEM IN SECONDARY THROTTLING
Zhao, Ruichang
Yang, Yongan
[J]. 5TH IIR INTERNATIONAL CONFERENCE ON SUSTAINABILITY AND THE COLD CHAIN, 2018, : 415 - 420

← 1 2 3 4 5 →