OSCILLATING SERVICE SYSTEM BETWEEN CONVENTIONAL AND RETRIAL QUEUES FOR IMPATIENT CUSTOMERS WITH SWITCH-OFF AND CLOSE-DOWN PERIODS

被引：0

作者：

Kumar, B. Krishna ^{[1
]}

Thanikachalam, A. ^{[2
]}

Krishnan, R. Navaneetha ^{[3
]}

Sankar, R. ^{[3
]}

机构：

[1] Vellore Inst Technol, Dept Math, Sch Adv Sci, Chennai 600127, India

[2] Anna Univ, Dept Math, Coll Engn, Chennai 600025, India

[3] Vel Tech Rangarajan Dr Sagunthala R&D Inst Sci &, Dept Math, Chennai 600062, India

来源：

STATISTICA | 2023年 / 83卷 / 01期

关键词：

Retrial queue; Reneging; Switch-off time; Close-down time; Regenerative analysis; Hypergeometric functions; PERFORMANCE ANALYSIS; POWER-CONSUMPTION; M/G/1; QUEUE; SERVER; SETUP; TIMES; SVCC;

D O I：

10.6092/issn.1973-2201/14206

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：

In this article, we analyze a single server dynamic service system between conventional and retrial queueing modes with impatient customers and switch-off and close-down periods of the server. In such a system, analytical expressions for the steady-state joint probabilities of the status of the server and the orbit size are derived in terms of hypergeometric functions. The factorial moments of the orbit size are also determined. Several interesting and key performance measures have been obtained. Moreover, the regenerative cycle length of the system and its related characteristics are discussed. Finally, extensive numerical results are presented graphically to illustrate the effects of the system parameters on the vital performance measures.

引用

页码：81 / 122

页数：42

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