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

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

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. Ha...

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Veröffentlicht in:Operations research 1994-01, Vol.42 (1), p.192-193
Hauptverfasser: Takagi, Hideaki, Lamaire, Richard O
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
busy period analysis: M/G/1/K queue
Coefficients
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
Operations research
queues
Queuing theory
Queuing theory. Traffic theory
Studies
Technical Notes
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Beschreibung
Zusammenfassung: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.
ISSN:0030-364X
1526-5463
DOI:10.1287/opre.42.1.192