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Next-fit bin packing with random piece sizes

Published online by Cambridge University Press:  14 July 2016

Shlomo Halfin*
Affiliation:
Bell Communications Research
*
Postal address: Bell Communications Research, 445 South Street, P.O. Box 1910, Morristown, NJ 07960–1910, USA.

Abstract

Investigations into time-slotted communication channels for transmission of data packets led us to analyze the stochastic behavior of the next-fit bin packing algorithm. In this paper we obtain results for general piece-size distributions and truncated distributions, we calculate explicit solutions for the case of the truncated exponential, and we apply the results to calculate the maximal throughput of the time-slotted communication channel.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1989 

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