Exhaustive Vacation Queue with Dependent Arrival and Service Processes

被引：0
|
作者：
Horvath, Gabor [1 ,2 ]
Saffer, Zsolt [1 ]
Telek, Miklos [1 ,2 ]
机构：
[1] Budapest Univ Technol & Econ, Budapest, Hungary
[2] MTA BME Informat Syst Res Grp, Budapest, Hungary
来源：
QUEUEING THEORY AND NETWORK APPLICATIONS | 2016年 / 383卷
关键词：
Vacation queue; MAP; Dependent arrival and service process; QBD; Matrix analytic methods; stationary analysis; TIME-LIMITED SERVICE; MODEL;
D O I：
10.1007/978-3-319-22267-7_2
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper presents a more general class of MAP/MAP/1 exhaustive vacation queue, in which the Markov modulated arrival and service processes are dependent. This model class requires the evaluation of the busy period of quasi birth death process with arbitrary initial level, which is a new analysis element. The model is analyzed by applying matrix analytic methods for the underlying quasi birth death process. The main result of the paper is the probability-generating function of the number of jobs in the system. Finally, a numerical example provides an insight into the behavior of the model.
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页码：19 / 27
页数：9
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