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The Mean and Standard Deviation of the Distribution of Group Assembly Sums

Published online by Cambridge University Press:  01 January 2025

Paul S. Dwyer
Paul S. Dwyer*
Affiliation:
University of Michigan
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Abstract

An interesting problem in linear programming is the group assembly problem which is mathematically equivalent to the general transportation problem of economics. Computer programs designed for the determination of exact and approximate optimal group assemblies have been available for some time. This paper presents formulas for the mean and squared standard deviation of the distribution of all possible group assembly sums. Computational techniques are presented and the results are related to those of the analysis of variance of a k-factor problem with n levels of each factor.

Type
Original Paper
Information
Psychometrika , Volume 29 , Issue 4 , December 1964 , pp. 397 - 408
Copyright
Copyright © 1964 Psychometric Society

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Footnotes

*

This research was supported in part by the United States Air Force under Project No. 7713, Task No. 77232, and Contract No. AF 18(600)-1050, monitored by the Crew Research Laboratory of the Air Force Personnel and Training Research Center. Permission is granted for reproduction, translation, publication, use, and disposal in whole and in part by or for the United States Government.

References

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