On the transient departure process of Mx/G/1 queueing system with single server vacation

被引：8

作者：

Tang, Yinghui ^{[1
]}

机构：

[1] Sichuan Normal Univ, Sch Math & Software Sci, Chengdu 610066, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2007年 / 20卷 / 04期

关键词：

asymptotic expansion; expected number; group arrival; server vacation;

D O I：

10.1007/s11424-007-9054-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the transient departure process of M-x/G/1 queueing system with single server vacation. We present a simple probability decomposition method to derive the expected number of departures occurring in finite time interval from any initial state and the asymptotic expansion of the expected number. Especially, we derive some more practical results for some special cases.

引用

页码：562 / 571

页数：10

共 16 条

[1] EXPECTED NUMBER OF DEPARTURES IN M/M/1 AND GI/G/1 QUEUES
ALI, H
[J]. ADVANCES IN APPLIED PROBABILITY, 1990, 22 (03) : 770 - 772
[2] [Anonymous], 1941, LAPLACE TRANSFORM
[3] ON THE MX/G/1 QUEUE WITH VACATION TIME
BABA, Y
[J]. OPERATIONS RESEARCH LETTERS, 1986, 5 (02) : 93 - 98
[4] ON THE DEPARTURE PROCESSES OF M/M/1/N AND GI/G/1/N QUEUES
CHAO, XL
[J]. ADVANCES IN APPLIED PROBABILITY, 1992, 24 (03) : 751 - 754
[5] CHAUDHRY ML, 1983, FIRST COURSE BULK QU
[6] Cohen JW., 1982, SINGLE SERVER QUEUE
[7] Doshi B. T., 1986, Queueing Systems Theory and Applications, V1, P29, DOI 10.1007/BF01149327
[8] THE DEPARTURE PROCESS FOR THE M/M/1 QUEUE
HUBBARD, JR
PEGDEN, CD
ROSENSHINE, M
[J]. JOURNAL OF APPLIED PROBABILITY, 1986, 23 (01) : 249 - 255
[9] CONTROL POLICIES FOR THE MX/G/1 QUEUING SYSTEM
LEE, HS
SRINIVASAN, MM
[J]. MANAGEMENT SCIENCE, 1989, 35 (06) : 708 - 721
[10] UTILIZATION OF IDLE TIME IN AN M-G-1 QUEUING SYSTEM
LEVY, Y
YECHIALI, U
[J]. MANAGEMENT SCIENCE, 1975, 22 (02) : 202 - 211

← 1 2 →