Analysis of a Bulk Queue with Unreliable Server and Single Vacation
نویسندگان
چکیده
In this paper, the operating characteristics of an 1 / /G M X queueing system with unreliable server and single vacation are analyzed. The server is subjected to fail, while it is on, and the arrival rate depends on the up and down states of the server. The time to failure is exponentially distributed and the repair times follow general distribution. Server is assigned to a secondary job (vacation) when the system becomes empty. The model is studied by the embedded Markov chain technique and level crossing analysis. The probability generating function of the steady state system size at an arbitrary time is obtained. An expression for the expected number of customers in the system, expected length of busy period and idle period is also derived. The application of the proposed model for a manufacturing system is discussed. A cost model for the queueing systems is discussed with a numerical illustration.
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