The virtual waiting time of the M/G/1 queue with impatient customers

被引：26

作者：

Bae, J ^{[2
]}

Kim, S

Lee, EY

机构：

[1] Seoul Natl Univ, Stat Res Ctr Complex Syst, Seoul 151742, South Korea

[2] Sookmyung Womens Univ, Dept Stat, Seoul 140742, South Korea

[3] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea

来源：

QUEUEING SYSTEMS | 2001年 / 38卷 / 04期

关键词：

M/G/1; queue; impatient customer; virtual waiting time; busy period;

D O I：

10.1023/A:1010956213680

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The M/G/1 queue with impatient customers is studied. The complete formula of the limiting distribution of the virtual waiting time is derived explicitly. The expected busy period of the queue is also obtained by using a martingale argument.

引用

页码：485 / 494

页数：10

共 6 条

[1] LEVEL-CROSSINGS IN POINT PROCESSES APPLIED TO QUEUES - SINGLE-SERVER CASE [J].

BRILL, PH ;

POSNER, MJM .

OPERATIONS RESEARCH, 1977, 25 (04) :662-674

[2]

Daley D. J., 1965, J APPL PROBAB, V2, P186

[3] A QUEUING SYSTEM WITH IMPATIENT CUSTOMERS [J].

DEKOK, AG ;

TIJMS, HC .

JOURNAL OF APPLIED PROBABILITY, 1985, 22 (03) :688-696

[4]

Karlin S, 1975, A First Course in Stochastic Process

[5]

Linz P, 1985, ANAL NUMERICAL METHO

[6]

Rudin Walter, 1976, Principles of mathematical analysis, V3

← 1 →