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Nurse rostering is a complex scheduling problem that affects hospitalpersonnel on a daily basis all over the world. This paper presents a newcomponent-based approach with evolutionary eliminations, for a nurse schedulingproblem arising at a major UK hospital. The main idea behind this technique isto decompose a schedule into its components (i.e. the allocated shift patternof each nurse), and then to implement two evolutionary elimination strategiesmimicking natural selection and natural mutation process on these componentsrespectively to iteratively deliver better schedules. The worthiness of allcomponents in the schedule has to be continuously demonstrated in order forthem to remain there. This demonstration employs an evaluation function whichevaluates how well each component contributes towards the final objective. Twoelimination steps are then applied: the first elimination eliminates a numberof components that are deemed not worthy to stay in the current schedule; thesecond elimination may also throw out, with a low level of probability, someworthy components. The eliminated components are replenished with new onesusing a set of constructive heuristics using local optimality criteria.Computational results using 52 data instances demonstrate the applicability ofthe proposed approach in solving real-world problems.

A Component Based Heuristic Search Method with Evolutionary Eliminations