Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Page(s)||S1229 - S1248|
|Published online||02 March 2021|
On the retrial queue with imperfect coverage and delay reboot
Department of Finance, Chaoyang University of Technology, Taichung, Taiwan, ROC
2 Department of Applied Statistics, National Taichung University of Science and Technology, Taichung, Taiwan, ROC
* Corresponding author: firstname.lastname@example.org
Accepted: 18 September 2020
Retrial systems have been used extensively to model many practical problems in call center, data center, cloud service computing center and computer network system. This paper deals with a multi-server retrial system with the features of imperfect coverage and delay reboot. In the investigated system, arrivals may not be detected because of some fault issues. When this situation happened, the system is cleared by a reboot operation. Once arrivals are detected and located, they are attended to when a server is available; otherwise, they join a retrial orbit and generate repeated attempts till a free server is found. We analyze the presented model as a quasi-birth-and-death process and develop various performance indices. The optimal number of servers and optimal service rate are searched by constructing an average cost function. A heuristic search technique is employed to obtain the optimization approximate solution at a minimum cost. Numerical illustrations are given to demonstrate the optimization procedure and the effects of varying parameters on performance indices. We also present an application example to demonstrate the applicability of investigated model.
Mathematics Subject Classification: 90B22 / 60K25
Key words: Imperfect coverage / delay reboot / retrial queue / optimization / sensitivity analysis
© EDP Sciences, ROADEF, SMAI 2021
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