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

Author

Listed:
  • Hideaki Takagi

    (University of Tsukuba, Tsukuba, Japan)

  • Richard O. Lamaire

    (IBM T. J. Watson Research Center, Yorktown Heights, New York)

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.

Suggested Citation

  • Hideaki Takagi & Richard O. Lamaire, 1994. "On the Busy Period of an M/G/1/K Queue," Operations Research, INFORMS, vol. 42(1), pages 192-193, February.
    • Handle: RePEc:inm:oropre:v:42:y:1994:i:1:p:192-193
    DOI: 10.1287/opre.42.1.192
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