On a Random Sum Formula for the Busy Period of the M/G/Infinity Queue With Applications

Abstract

A random sum formula is derived for the forward recurrence time associated with the busy period length of the M/G/perp endicular queue. This result is then used to (i) provide a necessary and suffcient condition for the subexponentiality of this forward recurrence time, and (ii) establish a stochastic comparison in the convex increasing (variability) ordering between the busy periods in two M/G/perp endicular queues with service times comparable in the convex increasing ordering.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2001
Accession Number
ADA439467

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  • Armand M. Makowski

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  • United States Army Research Laboratory

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