Stationary Distribution of Waiting Time in MAP/G/1/N Queueing System with LIFO Service Discipline

Alexander Dudin,Konstantin Samouylov,Valentina Klimenok

doi:10.1007/978-3-319-61382-6_5

Stationary Distribution of Waiting Time in MAP/G/1/N Queueing System with LIFO Service Discipline

Alexander Dudin, Konstantin Samouylov + Show 1 more

Open Access

https://doi.org/10.1007/978-3-319-61382-6_5

Copy DOI

Publication Date: Jan 1, 2017

License type: cc-by

Affiliation: Belarusian State University, Russian New University, Peoples' Friendship University of Russia

#Stationary Distribution Of Waiting Time #Last In – First Out + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

In this paper, we consider single server queueing system with a finite buffer, MAP input and independent generally distributed service times. Customers are selected for the service in accordance with the LIFO (Last In – First Out) service discipline. It is well known that stationary distribution of the number of customers in such a system coincides with the corresponding distribution in the system with FIFO (First In – First Out) discipline which has been studied in the literature early. In the present research we focus on investigating the stationary distribution of waiting (sojourn) time in the system.

Full Text