TRANSIENT ANALYSIS OF M/M/1 QUEUE WITH WORKING VACATION, HETEROGENEOUS SERVICE AND CUSTOMERS' IMPATIENCE

被引：25
|
作者：
Sudhesh, R. [1 ]
Azhagappan, A. [2 ]
Dharmaraja, S. [3 ]
机构：
[1] Anna Univ, Dept Math, Bharathidasan Inst Technol, BIT Campus, Tiruchirappalli 620024, Tamil Nadu, India
[2] Anna Univ, Dept Math, St Annes Coll Engn & Technol, Panruti 607110, Tamil Nadu, India
[3] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India
来源：
RAIRO-OPERATIONS RESEARCH | 2017年 / 51卷 / 03期
关键词：
Single server queue; multiple and single working vacation; impatient customers; continued fractions; confluent hypergeometric functions; SYSTEM;
D O I：
10.1051/ro/2016046
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper studies the time-dependent behavior of a single server queueing model with slow service during single and multiple working vacations, and customers' impatience due to slow service. The time-dependent system size probabilities for the underlying model are obtained in closed form. Further, time-dependent mean and variance are deduced. Finally, numerical illustrations are shown to visualize the system effect for various values of parameters.
引用
收藏
页码：591 / 606
页数：16
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