M/M/1 Retrial Queue with Collisions and Transmission Errors - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Methodology and Computing in Applied Probability Année : 2019

M/M/1 Retrial Queue with Collisions and Transmission Errors

Résumé

In this paper, an M/M/1 retrial queue with collisions and transmission errors is considered. The collision may occur when a primary arriving customer finds the server busy while the transmission errors usually occur due to an erroneous packet or due to a non-ideal channel condition. We apply the generating function method to derive the joint distribution of the server state and the orbit length in steady state and we obtain important system characteristics. Finally, we present numerical examples to show the applicability of the model
Fichier principal
Vignette du fichier
MM1 retrial queue with collisions.pdf (230.15 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-02475784 , version 1 (07-03-2022)

Identifiants

Citer

Lamia Lakaour, Djamil Aissani, Karima Adel-Aissanou, Kamel Barkaoui. M/M/1 Retrial Queue with Collisions and Transmission Errors. Methodology and Computing in Applied Probability, 2019, 21 (4), pp.1395-1406. ⟨10.1007/s11009-018-9680-x⟩. ⟨hal-02475784⟩
95 Consultations
88 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More