An approximation algorithm for the license and shift class design problem
Identifieur interne : 000997 ( Istex/Curation ); précédent : 000996; suivant : 000998An approximation algorithm for the license and shift class design problem
Auteurs : Klaus Jansen [Allemagne]Source :
- European Journal of Operational Research [ 0377-2217 ] ; 1994.
Abstract
In this paper a generalization of the license and shift class design problem is considered. Let J be a set of jobs which have to be carried out in specified time intervals, let E be a set of different engineer licenses and Z be a set of shifts. Given a price P(e, z) ϵ ∈+ for engineers with license e ϵ E assigned to shift z ϵ Z, the problem is to find numbers of engineers to carry out all jobs with minimum cost. An approximation algorithm with time complexity O(|E|·|Z|·|J|2) and approximation bound O(log|J|) is proposed for this problem.
Url:
DOI: 10.1016/0377-2217(94)90150-3
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<front><div type="abstract" xml:lang="en">In this paper a generalization of the license and shift class design problem is considered. Let J be a set of jobs which have to be carried out in specified time intervals, let E be a set of different engineer licenses and Z be a set of shifts. Given a price P(e, z) ϵ ∈+ for engineers with license e ϵ E assigned to shift z ϵ Z, the problem is to find numbers of engineers to carry out all jobs with minimum cost. An approximation algorithm with time complexity O(|E|·|Z|·|J|2) and approximation bound O(log|J|) is proposed for this problem.</div>
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