Optimal Control of a Graded Manpower System

Richard C. Grinold and Robert E. Stanford
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Richard C. Grinold: University of California, Berkeley
Robert E. Stanford: University of California, Berkeley

Management Science, 1974, vol. 20, issue 8, 1201-1216

Abstract: We consider a fractional flow model of a graded manpower system and develop algorithms for calculating optimal control policies in four situations: (i) finite time horizons with no constraints on staff distributions, (ii) finite time horizon with constraints on final staff distribution, (iii) infinite horizon with constraints on staff distribution and (iv) problems with a nonstationary transient stage and an infinite stationary stage. In each case results developed in solving the simpler problems are useful in analyzing more complicated situations. In addition to providing computational procedures we apply the algorithms to a three rank model and discuss the possible uses and limitations of our procedure.

Date: 1974
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:20:y:1974:i:8:p:1201-1216

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