Transform- free analysis of an MIGI1IK queue with exceptional service and queue length dependent service time

Author

Dimitrov, Mitko

Author_Institution

Dept. of Math., Univ. of Nat. & World Econ., Sofia, Bulgaria

fYear

2010

fDate

18-20 Oct. 2010

Firstpage

1106

Lastpage

1111

Abstract

We are concerned with an MIGI1IK queue in which service time distribution of the first customer in each busy period differs from the distribution of service times of the other customers in the same busy period. The service time of each customer in every busy period depends on queue - length immediately after the service-start epoch if the current service is not the first in the busy period. This model is called an exceptional service model. Our major interest is to apply sample-path analysis and to get transform-free stationary queue-length distribution and remaining service time.

Keywords

queueing theory; telecommunication services; MIGI1IK queue; exceptional service model; queue length distribution; sample-path analysis; service time distribution; transform-free analysis; Biological system modeling; Distribution functions; Markov processes; Mathematical model; Queueing analysis; Random variables; Transforms; MIGI1 queue; finite capacity; sample-path analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2010 International Congress on

Conference_Location

Moscow

ISSN

2157-0221

Print_ISBN

978-1-4244-7285-7

Type

conf

DOI

10.1109/ICUMT.2010.5676518

Filename

5676518