A Fluid Model Driven by an M/m/1 Queue with Catastrophe and Restoration Time
نویسندگان
چکیده
In this paper, we discuss a fluid queue driven by an M/M/1 queue with catastrophe and restoration. Using the continued fraction technique, we derive the Laplace transform of the transient state probability distribution of the buffer content, transient solution for this fluid queue and the corresponding steady state results explicitly. Also we analyze the queue when there are no catastrophes and no restoration. AMS Subject Classification: 60K25, 11Y65
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