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Solution of the Personnel Classification Problem with the Method of Optimal Regions

Published online by Cambridge University Press:  01 January 2025

Paul S. Dwyer*
Affiliation:
University of Michigan

Abstract

The personnel classification problem is identified mathematically with other problems in the social and biological sciences. This mathematical problem is shown to be a special case of the general mathematical problem of linear programming. It is proposed here that the personnel classification problem may be solved directly by methods particularly appropriate to it as well as by the simplex method, which is a standard method for solving the general linear programming problem. The method of optimal regions is derived and illustrated in this paper.

Type
Original Paper
Copyright
Copyright © 1954 Psychometric Society

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Footnotes

*

Much of the basic research covered in this paper was carried out while the author was working on the problem of personnel classification in his capacity as Consultant, Personnel Research Branch, Adjutant General's Office, Department of the Army. Some of the material was presented in a conference which was held at Personnel Research Branch in August, 1952. The author wishes to express his appreciation to the Department of the Army for permission to use these materials in this paper. The opinions expressed are those of the author and are not to be construed as official or as those of the Department of the Army.

References

Brogden, Hubert E.. An approach to the problem of differential prediction. Psychometrika, 1946, 11, 139154CrossRefGoogle Scholar
Dantzig, George B.. In Koopmans, T. C. (Eds.), Maximization of a linear function of variables subject to linear inequalities. Chapter XXI. Activity analysis of production and allocation, New York: Wiley, 1951Google Scholar
Dantzig, George B. Application of the simplex method to a transportation problem. Chapter XXIII of the monograph of (2).Google Scholar
Dwyer, P. S. Basic theory and methods in optimal classification of personnel. Personnel Research Branch, Department of the Army, 1953.Google Scholar
Lord, Frederick M.. Notes on a problem of multiple classification. Psychometrika, 1952, 17, 297304CrossRefGoogle Scholar
Flood, Merrill M. On the Hitchcock distribution problem. Symposium on linear inequalities and programming. SCOOP. U. S. Air Force and National Bureau of Standards. Washington, D. C. April, 1952, 74–99. See also Pac. Jour. of Math., 1953, 3, 369–386.CrossRefGoogle Scholar
Rao, C. R.. Advanced statistical methods in biometric research, New York: Wiley, 1952Google Scholar
Smith, Robert B. Hand computational methods for the classification problem. Air Training Command, Human Resources Research Center, September 1951.Google Scholar
Thorndike, Robert L.. The problem of classification of personnel. Psychometrika, 1950, 15, 215235CrossRefGoogle ScholarPubMed
von Neumann, John. In Kuhn, H. W., Tucker, A. W. (Eds.), A certain zero-sum two-person game equivalent to the optimal assignment problem. Contributions to the theory of games, Vol. II, Princeton: Princeton Univ. Press, 1953Google Scholar
Votaw, D. F. Jr.. Methods of solving some personnel-classification problems. Psychometrika, 1952, 17, 255266CrossRefGoogle Scholar
Votaw, D. F. Jr. and Dailey, J. T. Assignment of personnel to jobs. Research Bulletin 52-24, Air Training Command, Human Resources Research Center, Lackland Air Force Base, August, 1952.Google Scholar