The seminar assignment problem is a variant of the generalized assignment problem in which items have unit size and the amount of space allowed in each bin is restricted to an arbitrary set of values. The problem has been shown to be NP-complete and to not admit a PTAS. However, the only constant factor approximation algorithm known to date is randomized and it is not guaranteed to always produce a feasible solution. In this paper we show that a natural greedy algorithm outputs a solution with value within a factor of (1 −e−1) of the optimal, and that unless NP ⊆ DTIME(nlog log n), this is the best approximation guarantee achievable by any polynomial time algorithm.
CITATION STYLE
Bar-Noy, A., & Rabanca, G. (2017). Tight approximation bounds for the seminar assignment problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10138 LNCS, pp. 170–182). Springer Verlag. https://doi.org/10.1007/978-3-319-51741-4_14
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