Some results for the queues Mx /M/c and GIx/ G/c

Authors:
David D Yao
Affiliations:
Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027, USA
Venue:
Operations Research Letters
Year:
1985

Citing 1
Cited 1

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Abstract

We develop for the queue M^x/M/c an upper bound for the mean queue length and lower bounds for the delay probabilities (that of an arrival group and that of an arbitrary customer in the arrival group). An approximate formula is also developed for the general bulk-arrival queue GI^x/G/c. Preliminary numerical studies have indicated excellent performance of the results.