Nonpreemptive priority system with vacations

Recieved: 11/23/2022

Accepted: 11/26/2022

Published: 02/13/2023

Keywords: nonpreemprive priority queue, single server, working vacations, queue length

To cite this article

Bergovin A.K. Nonpreemptive priority system with vacations. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics. 2023. N 1, p.14-20 https://doi.org/10.55959/MSU/0137–0782–15–2023–1–14–20.

This work is licensed under a Сreative Commons Atribiution - NonCommercial 4.0 International (CC BY-NC 4.0)

Bergovin A.K. (Lomonosov Moscow State University (MSU))

Abstract

A single server nonpreemptive priority queueing system with renewal type input stream and multiple vacations is studied. The distributions of intervals between arrivals, service time for each priority class and vacation periods are arbitrary and absolutely continuous. The extra component method, the Laplace transform and the special integral transform are used to obtain the non-stationary joint distribution of queue length for all priority classes.