Staff assignment Problem: (case Study at Mampong-Akuapem Presby Senior High School)

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Matching highly skilled people to available positions is a high-stakes task that requires careful consideration by experienced resource managers. A wrong decision may result in significant loss of value due to understaffing, under-qualification or over-qualification of assigned personnel, and high turnover of poorly matched workers. While the importance of quality matching is clear, dealing with pools of hundreds of jobs and resources in a dynamic market generates a significant amount of pressure to make decisions rapidly. We present a novel solution designed to bridge the gap between the need for high-quality matches and the need for timeliness. By applying mathematical programming, we are able to deal successfully with the complex constraints encountered in the field and reach near-optimal assignments that take into account all resources and positions in the pool. The considerations include constraints on job role, skill level, geographical location, language, potential retraining, and many more. Constraints are applied at both the individual and team levels. This thesis models staff subject assignment problem as an assignment problem. The model developed could be adopted for any problem that can be modelled as an assignment problem
Thesis submitted to the Department of Mathematics Kwame Nkrumah University of Science and Technology in Partial fulfillment of the requirements for the Degree of Master of Science in Industrial Mathematics Institute of Distance Learning. 2012