Analysis of an M|G|1|R queue with batch arrivals and two hysteretic overload control policies-Reference-Cited by-同舟云学术

Analysis of an M|G|1|R queue with batch arrivals and two hysteretic overload control policies

Published:2014-09-01 Issue:3 Volume:24 Page:519-534
ISSN:2083-8492
Container-title:International Journal of Applied Mathematics and Computer Science
language:en
Short-container-title:

Author:

Gaidamaka Yuliya¹,Pechinkin Alexander²,Razumchik Rostislav¹²,Samouylov Konstantin¹,Sopin Eduard¹

Affiliation:

1. Department of Applied Probability and Informatics Peoples’ Friendship University of Russia, Miklukho-Maklaya str., 6, Moscow 117198, Russia

2. Institute of Problems of Informatics Russian Academy of Sciences, Vavilova str., 44-2, Moscow 119333, Russia

Abstract

Abstract Hysteretic control of arrivals is one of the most easy-to-implement and effective solutions of overload problems occurring in SIP-servers. A mathematical model of an SIP server based on the queueing system M[X]|G|1(L,H)|(H,R) with batch arrivals and two hysteretic loops is being analyzed. This paper proposes two analytical methods for studying performance characteristics related to the number of customers in the system. Two control policies defined by instants when it is decided to change the system’s mode are considered. The expression for an important performance characteristic of each policy (the mean time between changes in the system mode) is presented. Numerical examples that allow comparison of the efficiency of both policies are given

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.sciendo.com/pdf/10.2478/amcs-2014-0038

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