Discrete-time GIX/Geo/1/N queue with negative customers and multiple working vacations

被引：11

作者：

Gao, Shan ^{[1
,2
]}

Wang, Jinting ^{[1
]}

Zhang, Deran ^{[2
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

[2] Fuyang Normal Coll, Dept Math, Fuyang 236037, Anhui, Peoples R China

来源：

JOURNAL OF THE KOREAN STATISTICAL SOCIETY | 2013年 / 42卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Discrete-time finite-buffer queue; Negative customers; Working vacation; Supplementary variable technique; Embedded Markov chain; M/G/1; QUEUE; GI/GEO/1; RETRIAL QUEUE; GI/M/1; NETWORKS; ARRIVAL;

D O I：

10.1016/j.jkss.2013.03.002

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：

Using the supplementary variable and the embedded Markov chain method, we consider a discrete-time batch arrival finite capacity queue with negative customers and working vacations, where the RCH killing policy and partial batch rejection policy are adopted. We obtain steady-state system length distributions at pre-arrival, arbitrary and outside observer's observation epochs. Furthermore, we consider the influence of system parameters on several performance measures to demonstrate the correctness of the theoretical analysis. (C) 2013 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.

引用

页码：515 / 528

页数：14

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