On the Busy Period of an M/G/1/K Queue
Hideaki Takagi, Richard O. Lamaire
Operations Research · 1994 · Volume 42 · Issue 1
Abstract
The joint distribution of the length of a busy period and the number of customers served during that busy period in an M / G /1 queue with a finite capacity is expressed as coefficients of a power-series expansion of an explicit function. This new result is related to the previous result by T. J. Harris (1971). An error in his result is found and corrected.
Keywords
queues, busy period analysis: M/G/1/K queue
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