In this paper we consider two problems regarding the scheduling of available personnel in order to perform a given quantity of work, which can be arbitrarily decomposed into a sequence of activities. We are interested in schedules which minimize the overall dissatisfaction, where each employee’s dissatisfaction is modeled as a time-dependent linear function. For the two situations considered we provide a detailed mathematical analysis, as well as efficient algorithms for determining optimal schedules.
Citation
Proceedings of the 32nd Congress of the American Romanian Academy of Arts and Sciences (ARA Congress), pp. 459-463, Boston, USA, 2008