Asymptotic results and a Markovian approximation for the M(n)/M(n)/s plus GI system

被引：61

作者：

Brandt, A

Brandt, M

机构：

[1] Humboldt Univ, Wirtschaftswissensch Fak, D-10178 Berlin, Germany

[2] Konrad Zuse Zentrum Informat Tech Berlin, D-14195 Berlin, Germany

来源：

QUEUEING SYSTEMS | 2002年 / 41卷 / 1-2期

关键词：

M(n)/M(n)/s plus GI system; limited waiting times; finite buffer; virtual waiting times; blocking-; abandon probability; impatience rates; asymptotic results; M(n)/M(n)/s system with waiting place dependent impatient rates; Markovian approximation;

D O I：

10.1023/A:1015781818360

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper for the M(n)/M(n)/s+GI system, i.e. for a s-server queueing system where the calls in the queue may leave the system due to impatience, we present new asymptotic results for the intensities of calls leaving the system due to impatience and a Markovian system approximation where these results are applied. Furthermore, we present a new proof for the formulae of the conditional density of the virtual waiting time distributions, recently given by Movaghar for the less general M(n)/M/s+GI system. Also we obtain new explicit expressions for refined virtual waiting time characteristics as a byproduct.

引用

页码：73 / 94

页数：22

共 24 条

[1]

Baccelli F., 1981, Performance '81. Proceedings of the 8th International Symposium on Computer Performance Modelling, Measurement and Evaluation, P159

[2] SINGLE-SERVER QUEUES WITH IMPATIENT CUSTOMERS [J].