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Just for this, based on the assumption that the vibration directly relates with the operation reliability and the degree of wear, it could express the operation reliability as the normalization of the vibration level. The characteristic of the vibration with the operation point was studied, it could be concluded that idealized flow versus vibration plot should be a distinct bathtub shape. There is a narrow sweet spot (80 to 100 percent BEP) to obtain low vibration levels in this shape, and the vibration also follows similar law with the square of the rotation speed without resonance phenomena. Then, the operation reliability could be modeled as the function of the capacity and rotation speed of the pump and add this function to the traditional model to form the new. And contrast with the tradition method, the result shown that the new model could fix the result produced by the traditional, make the pump operate in low vibration, then the operation reliability could increase and the maintenance cost could decrease.<\/jats:p>","DOI":"10.1155\/2012\/370502","type":"journal-article","created":{"date-parts":[[2012,3,29]],"date-time":"2012-03-29T10:30:42Z","timestamp":1333017042000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Modeling Optimal Scheduling for Pumping System to Minimize Operation Cost and Enhance Operation Reliability"],"prefix":"10.1155","volume":"2012","author":[{"given":"Yin","family":"Luo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shouqi","family":"Yuan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yue","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianping","family":"Yuan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinfeng","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,3,28]]},"reference":[{"key":"e_1_2_8_1_2","volume-title":"Pump Life Cycle Costs: A Guide to LCC Analysis for Pumping Systems","author":"Hydraulic Institute","year":"2001"},{"key":"e_1_2_8_2_2","first-page":"73","article-title":"Discussion on energy conservation of pump","volume":"11","author":"Wang Z.-H.","year":"2006","journal-title":"China Foreign Energy"},{"key":"e_1_2_8_3_2","volume-title":"Water Distribution Systems Handbook","author":"Mays L. 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Reducing reliability incidents and improving meantime between repair Proceedings of the 24th Interenational Pump Users Symposium 2008 College Station Tex USA 1\u201310."},{"key":"e_1_2_8_11_2","unstructured":"RobertX.andPerezP. E. Operating Centrifugal Pumps Off-design- pumps & systems 20 suggestions for a new analysis method operating centrifugal pumps April 2005 http:\/\/www.pump%2Dzone.com\/articles\/2.pdf."},{"key":"e_1_2_8_12_2","unstructured":"NiY.-Y. 3-D unsteady numerical simulation and fluid-induced vibration for centrifugal pumps Ph.D. thesis 2008 Jiangsu University ZhenJiang China."},{"key":"e_1_2_8_13_2","first-page":"49","article-title":"Diagnosing the running condition of pump by its vibration character","volume":"25","author":"Ni Y.-Y.","year":"2007","journal-title":"Drainage and Irrigation Machinery"},{"key":"e_1_2_8_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2009.03.022"},{"key":"e_1_2_8_15_2","volume-title":"Centrifugal Pumps for Petroleum Heavy Duty Chemical and Gas Industry Services","author":"API Standard 610","year":"2003"},{"key":"e_1_2_8_16_2","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2004.11.757"},{"key":"e_1_2_8_17_2","doi-asserted-by":"publisher","DOI":"10.1631\/jzus.2005.A0886"},{"key":"e_1_2_8_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.advengsoft.2004.03.012"},{"key":"e_1_2_8_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0027177"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/370502.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/370502.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/370502","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:58:22Z","timestamp":1718089102000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/370502"}},"subtitle":[],"editor":[{"given":"Zhiwei","family":"Gao","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/370502"],"URL":"https:\/\/doi.org\/10.1155\/2012\/370502","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2011-10-20","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-01-22","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-03-28","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"370502"}}