{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,27]],"date-time":"2023-04-27T21:54:30Z","timestamp":1682632470690},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2013,6]]},"abstract":"<jats:p> In this paper we propose the generalized mirrored scheme for scheduling double round robin tournaments (DRRTs), a common topic in sports scheduling, to deal with the conflicting constraints of breaks and separation. In practice, usually a small number of breaks and a large separation are desirable, but typical methods of scheduling DRRTs cannot obtain both a minimum number of breaks and a positive separation. We firstly consider DRRTs by this scheme with a separation of two slots and a minimum number of breaks. In case the number of teams is a multiple of four, we show that such DRRTs could be generated by a constructive method; we also propose a model and find such DRRTs for any other numbers of teams up to 90. Secondly, we consider those with a separation of more than two. We show that if a minimum number of breaks is required, DRRTs with a separation of any number of slots could be obtained by a constructive method, for some large number of teams; otherwise, a tradeoff for a large separation at the cost of only four additional breaks exists for any number of teams. <\/jats:p>","DOI":"10.1142\/s0217595913400083","type":"journal-article","created":{"date-parts":[[2013,6,27]],"date-time":"2013-06-27T02:06:26Z","timestamp":1372298786000},"page":"1340008","source":"Crossref","is-referenced-by-count":2,"title":["ON THE GENERALIZED MIRRORED SCHEME FOR DOUBLE ROUND ROBIN TOURNAMENTS IN SPORTS SCHEDULING"],"prefix":"10.1142","volume":"30","author":[{"given":"LISHUN","family":"ZENG","sequence":"first","affiliation":[{"name":"Graduate School of Decision Science and Technology, Tokyo Institute of Technology, 2-12-1-W9-58, Ookayama, Meguro-ku, Tokyo, 152-8552, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SHINJI","family":"MIZUNO","sequence":"additional","affiliation":[{"name":"Graduate School of Decision Science and Technology, Tokyo Institute of Technology, 2-12-1-W9-58, Ookayama, Meguro-ku, Tokyo, 152-8552, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2013,6,26]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.orl.2007.09.009"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-0208(08)73478-9"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(88)90033-9"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-45578-7_43"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6377(03)00025-7"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2009.05.013"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.orl.2004.06.004"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2004.09.030"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1287\/opre.46.1.1"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2005.10.063"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2007.05.046"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2011.10.004"}],"container-title":["Asia-Pacific Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0217595913400083","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:32:52Z","timestamp":1565116372000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0217595913400083"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6]]},"references-count":12,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2013,6,26]]},"published-print":{"date-parts":[[2013,6]]}},"alternative-id":["10.1142\/S0217595913400083"],"URL":"https:\/\/doi.org\/10.1142\/s0217595913400083","relation":{},"ISSN":["0217-5959","1793-7019"],"issn-type":[{"value":"0217-5959","type":"print"},{"value":"1793-7019","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,6]]}}}