Title: On the number of occupied resources in a system with resource sharing between service-oriented customers

Authors: T.B. Ravaliminoarimalalason; M. Rakotomalala; F. Randimbindrainibe

Addresses: Ecole Doctorale en Sciences et Techniques de l'Ingénierie et de l'Innovation, Ecole Supérieure Polytechnique d'Antananarivo, University of Antananarivo, Madagascar ' Ecole Doctorale en Sciences et Techniques de l'Ingénierie et de l'Innovation, Ecole Supérieure Polytechnique d'Antananarivo, University of Antananarivo, Madagascar ' Ecole Doctorale en Sciences et Techniques de l'Ingénierie et de l'Innovation, Ecole Supérieure Polytechnique d'Antananarivo, University of Antananarivo, Madagascar

Abstract: We present analytical and generalised expressions of the numbers of occupied resources in a system providing several services to its customers. This system can be assimilated to a multi-service queue. We considered that the required numbers of resources for each service are deterministic, and then random variables number of resources is studied in second part. Analysis carried out on the resource occupations have made possible the dimensioning of the total number of necessary resources that must be deployed on the queue server. They are to serve the customers up to a certain quality of service in terms of the probability of congestion. Reported to a single-service case, we found from the analytical expressions established in this work the probability of congestion in the Fry-Molina traffic model. The results are illustrated with numerical case studies.

Keywords: queueing; dimensioning; multi-service; resource occupation; resource sharing.

DOI: 10.1504/IJOR.2024.142377

International Journal of Operational Research, 2024 Vol.51 No.3, pp.406 - 422

Received: 30 Jun 2021
Accepted: 29 Dec 2021
Published online: 28 Oct 2024 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article