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Abstract In this paper, we consider the N-policy for an unreliable MX/G/1 queue with two types of general heterogeneous service under optional repeated service and delayed repair. The server is… Click to show full abstract
Abstract In this paper, we consider the N-policy for an unreliable MX/G/1 queue with two types of general heterogeneous service under optional repeated service and delayed repair. The server is unreliable and turned off each time until the queue size (including one being served, if any) becomes(threshold). As soon as the queue size exceeds(), the server is turned on and begin to serve all the arriving units. For this model, we derive the joint distribution of state of the server and queue size by considering both elapsed and remaining time, as well as various system characteristics.
Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2018
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