Title: Some majorisation results in optimal manpower control

Authors: Akaninyene Udo Udom

Addresses: Department of Statistics, University of Nigeria, Nsukka, Enugu State, Nigeria

Abstract: The notion of majorisation arises in various aspects of optimisation. In manpower control, a recurrent issue is the issue of obtaining an optimal control for the system since it is possible to have control that does not have a unique value. In this paper, we review some majorisation inequality results and use these results in the optimal control of Markovian manpower system. A Pareto balance control and approximate control are established. A procedure for using a majorisation-minimisation algorithm to optimise a control cost function is highlighted.

Keywords: alpha-approximate control; majorisation inequality; Markotope; Pareto balance control; MM algorithm; majorisation-minimisation algorithm; optimal control; manpower control; optimisation.

DOI: 10.1504/IJOR.2013.052333

International Journal of Operational Research, 2013 Vol.16 No.3, pp.287 - 303

Published online: 29 Jul 2014 *

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