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Next-fit bin packing with random piece sizes

Published online by Cambridge University Press:  14 July 2016

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

Keywords

COMMUNICATION CHANNELSDATA PACKETSTHROUGHPUTISDN
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 3 , September 1989 , pp. 503 - 511
Copyright
Copyright © Applied Probability Trust 1989 

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References

[1] Billingsley, P. (1968) Convergence of Probability Measures. Wiley, New York.Google Scholar
[2] Coffman, E. G., So, K., Hofri, M. and Yao, A. C. (1980) A stochastic model of bin packing. Inf. Control 44, 105–115.CrossRefGoogle Scholar
[3] Feller, W. (1971) An Introduction to Probability Theory and its Applications, Vol. 2, 2nd edn. Wiley, New York.Google Scholar
[4] Gaver, D. P. and Jacobs, P. A. (1980) Storage problems when demand is ‘all or nothing’. Naval Res. Log. Quart. 27, 529–538.CrossRefGoogle Scholar
[5] Hofri, M. (1984) A probabilistic analysis of the next-fit bin packing algorithm. J. Algorithms 5, 547–556.CrossRefGoogle Scholar
[6] Karmarkar, N. (1982) Probabilistic analysis of some bin-packing problems. Proc. 23rd Symp. Foundations of Computer Science, IEEE Computer Soc., Los Angeles, 107–111.Google Scholar
[7] Shiryayev, A. N. (1984) Probability. Springer-Verlag, Berlin.CrossRefGoogle Scholar