{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,6]],"date-time":"2025-10-06T17:53:30Z","timestamp":1759773210563},"reference-count":16,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>This paper deals with the short-term scheduling problem of hydropower systems. The objective is to meet the daily energy demand in an economic and safe way. The individuality of the generating units and the nonlinearity of their efficiency curves are taken into account. The mathematical model is formulated as a dynamic, mixed integer, nonlinear, nonconvex, combinatorial, and multiobjective optimization problem. We propose two solution methods using metaheuristic approaches. They combine Genetic Algorithm with Strength Pareto Evolutionary Algorithm and Ant Colony Optimization. Both approaches are divided into two phases. In the first one, to maximize the plant\u2019s net generation, the problem is solved for each hour of the day (static dispatch). In the second phase, to minimize the units\u2019 switching on-off, the day is considered as a whole (dynamic dispatch). The proposed methodology is applied to two Brazilian hydroelectric plants, in cascade, that belong to the national interconnected system. The nondominated solutions from both approaches are presented. All of them meet demand respecting the physical, electrical, and hydraulic constraints.<\/jats:p>","DOI":"10.1155\/2015\/701851","type":"journal-article","created":{"date-parts":[[2015,10,5]],"date-time":"2015-10-05T17:04:28Z","timestamp":1444064668000},"page":"1-6","source":"Crossref","is-referenced-by-count":2,"title":["Metaheuristic Approaches for Hydropower System Scheduling"],"prefix":"10.1155","volume":"2015","author":[{"given":"Ieda G.","family":"Hidalgo","sequence":"first","affiliation":[{"name":"Faculty of Technology, State University of Campinas (Unicamp), 13.484-332 Limeira, SP, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Regiane S. de","family":"Barros","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, State University of Campinas (Unicamp), 13.083-860 Campinas, SP, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J\u00e9ssica P. T.","family":"Fernandes","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, State University of Campinas (Unicamp), 13.083-860 Campinas, SP, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jo\u00e3o Paulo F.","family":"Estr\u00f3cio","sequence":"additional","affiliation":[{"name":"Cia Energ\u00e9tica de S\u00e3o Paulo (CESP), 04.447-011 S\u00e3o Paulo, SP, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Paulo B.","family":"Correia","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, State University of Campinas (Unicamp), 13.083-860 Campinas, SP, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1061\/(asce)wr.1943-5452.0000258"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9496(2003)129:5(388)"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/59.982207"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2012.07.023"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2005.09.002"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/59.709083"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1109\/tpwrs.2008.926704"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/59.962421"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/0142-0615(94)90007-8"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/59.852149"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1109\/60.937211"},{"key":"16","first-page":"191","volume-title":"Ant Colony Optimization (ACO) technique in economic power dispatch problems","volume":"33","year":"2009"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2011.08.057"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.enconman.2013.07.047"},{"key":"19","year":"1975"},{"key":"21","series-title":"A Bradford Book","year":"2004"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/701851.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/701851.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/701851.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T20:35:07Z","timestamp":1471552507000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2015\/701851\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":16,"alternative-id":["701851","701851"],"URL":"https:\/\/doi.org\/10.1155\/2015\/701851","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}