CONCAVITY OF THE CONDITIONAL MEAN SOJOURN TIME IN THE PROCESSOR-SHARING QUEUE WITH BATCH ARRIVALS

被引：0

作者：

Kim, Jeongsim ^{[1
]}

机构：

[1] Chungbuk Natl Univ, Dept Math Educ, Chungbuk 361763, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 06期

关键词：

processor-sharing queue; batch arrivals; sojourn time; concavity; BULK ARRIVALS;

D O I：

10.4134/BKMS.2010.47.6.1251

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an M/G/1 processor-sharing queue with batch arrivals, Avrachenkov et al. [1] conjectured that the conditional mean sojourn time is concave. However, Kim and Kim [5] showed that this conjecture is not true in general. In this paper, we show that this conjecture is true if the service times have a hyperexponential distribution.

引用

页码：1251 / 1258

页数：8

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