On the retrial queue with imperfect coverage and delay reboot

Retrial systems have been used extensively to model many practical problems in call center, data cloud service computing center and computer network system. This paper deals with a multi-server retrial system the features of imperfect coverage delay reboot. In investigated system, arrivals may not be detected because some fault issues. When this situation happened, is cleared by reboot operation. Once are located, they attended when server available; otherwise, join orbit generate repeated attempts till free found. We analyze presented as quasi-birth-and-death process develop various performance indices. The optimal number servers rate searched constructing an average cost function. A heuristic search technique employed obtain optimization approximate solution at minimum cost. Numerical illustrations given demonstrate procedure effects varying parameters on also present application example applicability model.