The disasters queue with working breakdowns and impatient customers

Zhang, Mian; Gao, Shan

doi:10.1051/ro/2019036

Zhang, Mian ; Gao, Shan

RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 3, pp. 815-825.

Suite au passage du modèle économique de la revue en S20, le texte intégral des articles des années 2019 et 2020 est accessible uniquement sur le site de l'éditeur et est réservé aux abonnés.

Résumé

We consider the M/M/1 queue with disasters and impatient customers. Disasters only occur when the main server being busy, it not only removes out all present customers from the system, but also breaks the main server down. When the main server is down, it is sent for repair. The substitute server serves the customers at a slow rate(working breakdown service) until the main server is repaired. The customers become impatient due to the working breakdown. The system size distribution is derived. We also obtain the mean queue length of the model and mean sojourn time of a tagged customer. Finally, some performance measures and numerical examples are presented.

MR Zbl

DOI : 10.1051/ro/2019036

Classification : 90B22
Mots-clés : Queue, disaster, working breakdown, impatient customer

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Zhang, Mian; Gao, Shan. The disasters queue with working breakdowns and impatient customers. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 3, pp. 815-825. doi : 10.1051/ro/2019036. http://www.numdam.org/articles/10.1051/ro/2019036/

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Cité par Sources :

Supported by the National Natural Science Foundation of China (61672006), the Natural Science Foundation of Anhui Province (KJ2015A182,KJ2017A340,KJ2018A0346) and Fuyang Municipal Government-Fuyang Normal College Horizontal Cooperation Projects (XDHXTD201709).