{"abstract":[{"text":"Metric facility location and K-means are well-known problems of combinatorial optimization. Both admit a fairly simple heuristic called single-swap, which adds, drops or swaps open facilities until it reaches a local optimum. For both problems, it is known that this algorithm produces a solution that is at most a constant factor worse than the respective global optimum. In this paper, we show that single-swap applied to the weighted metric uncapacitated facility location and weighted discrete K-means problem is tightly PLS-complete and hence has exponential worst-case running time.","lang":"eng"}],"publication":"Lecture Notes in Computer Science","department":[{"_id":"64"}],"type":"book_chapter","date_created":"2018-04-17T12:20:53Z","intvolume":"     10236","date_updated":"2022-01-06T06:56:00Z","publication_status":"published","author":[{"full_name":"Brauer, Sascha","first_name":"Sascha","last_name":"Brauer","id":"13291"}],"publication_identifier":{"isbn":["9783319575858","9783319575865"],"issn":["0302-9743","1611-3349"]},"year":"2017","title":"Complexity of Single-Swap Heuristics for Metric Facility Location and Related Problems","doi":"10.1007/978-3-319-57586-5_11","language":[{"iso":"eng"}],"citation":{"short":"S. Brauer, in: D. Fotakis, A. Pagourtzis, V.T. Paschos (Eds.), Lecture Notes in Computer Science, Springer International Publishing, Cham, 2017, pp. 116–127.","chicago":"Brauer, Sascha. “Complexity of Single-Swap Heuristics for Metric Facility Location and Related Problems.” In <i>Lecture Notes in Computer Science</i>, edited by Dimitris Fotakis, Aris Pagourtzis, and Vangelis Th. Paschos, 10236:116–27. Cham: Springer International Publishing, 2017. <a href=\"https://doi.org/10.1007/978-3-319-57586-5_11\">https://doi.org/10.1007/978-3-319-57586-5_11</a>.","apa":"Brauer, S. (2017). Complexity of Single-Swap Heuristics for Metric Facility Location and Related Problems. In D. Fotakis, A. Pagourtzis, &#38; V. T. Paschos (Eds.), <i>Lecture Notes in Computer Science</i> (Vol. 10236, pp. 116–127). Cham: Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-319-57586-5_11\">https://doi.org/10.1007/978-3-319-57586-5_11</a>","ieee":"S. Brauer, “Complexity of Single-Swap Heuristics for Metric Facility Location and Related Problems,” in <i>Lecture Notes in Computer Science</i>, vol. 10236, D. Fotakis, A. Pagourtzis, and V. T. Paschos, Eds. Cham: Springer International Publishing, 2017, pp. 116–127.","ama":"Brauer S. Complexity of Single-Swap Heuristics for Metric Facility Location and Related Problems. In: Fotakis D, Pagourtzis A, Paschos VT, eds. <i>Lecture Notes in Computer Science</i>. Vol 10236. Cham: Springer International Publishing; 2017:116-127. doi:<a href=\"https://doi.org/10.1007/978-3-319-57586-5_11\">10.1007/978-3-319-57586-5_11</a>","bibtex":"@inbook{Brauer_2017, place={Cham}, title={Complexity of Single-Swap Heuristics for Metric Facility Location and Related Problems}, volume={10236}, DOI={<a href=\"https://doi.org/10.1007/978-3-319-57586-5_11\">10.1007/978-3-319-57586-5_11</a>}, booktitle={Lecture Notes in Computer Science}, publisher={Springer International Publishing}, author={Brauer, Sascha}, editor={Fotakis, Dimitris and Pagourtzis, Aris and Paschos, Vangelis Th.Editors}, year={2017}, pages={116–127} }","mla":"Brauer, Sascha. “Complexity of Single-Swap Heuristics for Metric Facility Location and Related Problems.” <i>Lecture Notes in Computer Science</i>, edited by Dimitris Fotakis et al., vol. 10236, Springer International Publishing, 2017, pp. 116–27, doi:<a href=\"https://doi.org/10.1007/978-3-319-57586-5_11\">10.1007/978-3-319-57586-5_11</a>."},"place":"Cham","conference":{"end_date":"2017-05-26","name":"10th International Conference on Algorithms and Complexity","start_date":"2017-05-24","location":"Athens, Greece"},"status":"public","editor":[{"last_name":"Fotakis","first_name":"Dimitris","full_name":"Fotakis, Dimitris"},{"full_name":"Pagourtzis, Aris","last_name":"Pagourtzis","first_name":"Aris"},{"full_name":"Paschos, Vangelis Th.","first_name":"Vangelis Th.","last_name":"Paschos"}],"volume":10236,"user_id":"13291","_id":"2381","publisher":"Springer International Publishing","page":"116-127"}