We discuss the computational complexity, the approximability, the algorithmics and the combinatorics of the open shop scheduling problem. We summarize the most important results from the literature and explain their main ideas, we sketch the most beautiful proofs, and we also list a number of open problems.
@InProceedings{woeginger:LIPIcs.STACS.2018.4, author = {Woeginger, Gerhard J.}, title = {{The Open Shop Scheduling Problem}}, booktitle = {35th Symposium on Theoretical Aspects of Computer Science (STACS 2018)}, pages = {4:1--4:12}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-062-0}, ISSN = {1868-8969}, year = {2018}, volume = {96}, editor = {Niedermeier, Rolf and Vall\'{e}e, Brigitte}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2018.4}, URN = {urn:nbn:de:0030-drops-85375}, doi = {10.4230/LIPIcs.STACS.2018.4}, annote = {Keywords: Algorithms, Complexity, Scheduling, Approximation} }
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