On the Busy Period of an M/G/1/K Queue

Hideaki Takagi and Richard O. Lamaire
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Hideaki Takagi: University of Tsukuba, Tsukuba, Japan
Richard O. Lamaire: IBM T. J. Watson Research Center, Yorktown Heights, New York

Operations Research, 1994, vol. 42, issue 1, 192-193

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 (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:42:y:1994:i:1:p:192-193

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