We give a prompt online mechanism for minimizing the sum of [weighted] completion times. This is the first prompt online algorithm for the problem. When such jobs are strategic agents, delaying scheduling decisions makes little sense. Moreover, the mechanism has a particularly simple form of an anonymous menu of options.
@InProceedings{eden_et_al:LIPIcs.ESA.2018.27, author = {Eden, Alon and Feldman, Michal and Fiat, Amos and Taub, Tzahi}, title = {{Truthful Prompt Scheduling for Minimizing Sum of Completion Times}}, booktitle = {26th Annual European Symposium on Algorithms (ESA 2018)}, pages = {27:1--27:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-081-1}, ISSN = {1868-8969}, year = {2018}, volume = {112}, editor = {Azar, Yossi and Bast, Hannah and Herman, Grzegorz}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2018.27}, URN = {urn:nbn:de:0030-drops-94905}, doi = {10.4230/LIPIcs.ESA.2018.27}, annote = {Keywords: Scheduling, Mechanism design, Online algorithms} }
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