Some results for the queues Mx/M/c and GIx/ G/c |
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Authors: | David D Yao |
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Institution: | Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027, USA |
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Abstract: | We develop for the queue Mx/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 GIx/G/c. Preliminary numerical studies have indicated excellent performance of the results. |
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Keywords: | queues bulk arrivals multiple servers bounds approximation |
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