Optimal Control of a Graded Manpower System

Grinold, Richard C.; Stanford, Robert E.

doi:10.21236/ad0759694

Cited by 6 publications

(6 citation statements)

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“…An important class of problems in NHMS and in manpower planning is the control by recruitment of the number of members of the system in the various states at every point in time. This work was initiated by Bartholomew (1973), (1975), Vajda (1978, Davies (1973) and Grinold and Stanford (1974) for homogeneous Markov chain models in manpower systems and extended for NHMS by Vassiliou and Tsantas (1984a, b).…”

Section: Maintainability Of An S-nhms In a Stochastic Environmentmentioning

confidence: 99%

The non-homogeneous Markov system in a stochastic environment

Tsantas

Vassiliou

1993

Journal of Applied Probability

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We introduce and define for the first time the concept of a non-homogeneous Markov system in a stochastic environment (S-NHMS). The problem of finding the expected population structure in an S-NHMS is studied, and important properties among the basic parameters of the S-NHMS are established. Moreover, we study the problem of maintaining the relative sizes of the states in a stochastic environment applying control in the input process. Among other things, we provide the probability of maintaining any vector of relative state sizes. Also strategies for attaining in an optimal way a desired relative structure are designed, with the use of a given algorithm. Finally, an illustration is provided of the present results in a manpower system.

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Section: Maintainability Of An S-nhms In a Stochastic Environmentmentioning

confidence: 99%

The non-homogeneous Markov system in a stochastic environment

Tsantas

Vassiliou

1993

Journal of Applied Probability

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“…(5) The cost of computer operations is relatively low. (6) Long-term consequences are emphasized.' (7) System dynamics models are continuous.…”

Section: Problem Structurementioning

confidence: 99%

The rotation and assignment of imbalanced air force specialties: A policy analysis model

Clark

Lawson

1984

SIMULATION

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Air Force Human Resources LaboratoryBrooks AFB, Texas 78235 THOMAS D. CLARK is an Air Force Lieutenant Colonel assigned to the Air Force Institute of Technology. He is Professor of Systems Management teaching graduate courses in computer simulation and research design. His research has dealt with the application of computer simulation to Department of Defense problems. He holds the DBA from Florida State University, is the author of two books dealing with simulation and information analysis, and has published articles in a variety of journals. KEVIN LAWSON is an Air Force Captain currently working at the Air Force Human Resources Laboratory in San Antonio, Texas. His work primarily deals with correctly matching people to Air Force jobs and with the related manpower, personnel, and training policy issues that are affected by selection and classification. His education includes a bachelor of science degree from Southwest Texas State University and a master of science degree in operations research from the Air Force Institute of Technology. His research interests include improved selection of Air Force physicians, the integration of personnel costs and requirements into the evaluation of weapon systems through policy modeling, and the use of simulation as a means to test and validate policy changes in the manpower, personnel, and training environment. ABSTRACT A dynamic model of a complex multi-echelon personnel system is presented in this paper. The system manages U.S. Air Force airman assignments in critical specialties. Some of these specialties are imbalanced with more personnel required overseas than can be supplied and still allow airmen sufficient tour length assignments in the continental United States. The model deals with inputs and outputs of personnel at the organizational level and provides a mechanism for testing the effects of alternative policies on system performance. A discussion of the advantages of the methodology over other techniques for this type of analysis is included.

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“…Whereas Grinold and Stanford (1974) considered the possibility that the total size of the organisation might increase, we shall also adopt the common restriction that the organisation remains at.a constant size each year. This is achieved by noting the total wastage, and then recruiting exactly that total, into whatever grades are deemed appropriate.…”

Section: Introductionmentioning

confidence: 99%

Further counterexamples to the monotonicity property of t-step maintainable structures

Haigh

1992

Journal of Applied Probability

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Until Guerry's (1990) counterexample to a conjecture of Davies about three-state hierarchical organisations kept at constant size via annual promotion, wastage and recruitment, it was easy to believe that such structures maintainable in t steps would also be maintainable in t + 1 steps. Here we present further counterexamples, which show that t-step maintainability does not imply (t + 1)-step maintainability, for astonishingly large values of t.

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Optimal Control of a Graded Manpower System

Cited by 6 publications

References 0 publications

The non-homogeneous Markov system in a stochastic environment

The non-homogeneous Markov system in a stochastic environment

The rotation and assignment of imbalanced air force specialties: A policy analysis model

Further counterexamples to the monotonicity property of t-step maintainable structures

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