{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T05:56:19Z","timestamp":1781243779238,"version":"3.54.1"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2018,4,26]],"date-time":"2018-04-26T00:00:00Z","timestamp":1524700800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2018,4,26]],"date-time":"2018-04-26T00:00:00Z","timestamp":1524700800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Oper Res Int J"],"published-print":{"date-parts":[[2020,12]]},"DOI":"10.1007\/s12351-018-0400-7","type":"journal-article","created":{"date-parts":[[2018,4,26]],"date-time":"2018-04-26T12:50:42Z","timestamp":1524747042000},"page":"2133-2161","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["An MILP approach for scheduling of tree-like pipelines with dual purpose terminals"],"prefix":"10.1007","volume":"20","author":[{"given":"Mehrnoosh","family":"Taherkhani","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2018,4,26]]},"reference":[{"key":"400_CR1","doi-asserted-by":"publisher","first-page":"5661","DOI":"10.1021\/ie900685v","volume":"49","author":"SN Boschetto","year":"2010","unstructured":"Boschetto SN, Magat\u00e3o L, Brondani WM et al (2010) An operational scheduling model to product distribution through a pipeline network. Ind Eng Chem Res 49:5661\u20135682","journal-title":"Ind Eng Chem Res"},{"key":"400_CR2","doi-asserted-by":"publisher","first-page":"2053","DOI":"10.1016\/j.compchemeng.2004.03.010","volume":"28","author":"DC Cafaro","year":"2004","unstructured":"Cafaro DC, Cerd\u00e1 J (2004) Optimal scheduling of multiproduct pipeline systems using a non-discrete MILP formulation. Comput Chem Eng 28:2053\u20132068","journal-title":"Comput Chem Eng"},{"key":"400_CR3","doi-asserted-by":"publisher","first-page":"728","DOI":"10.1016\/j.compchemeng.2007.03.002","volume":"32","author":"DC Cafaro","year":"2008","unstructured":"Cafaro DC, Cerd\u00e1 J (2008) Dynamic scheduling of multiproduct pipelines with multiple delivery due dates. Comput Chem Eng 32:728\u2013753","journal-title":"Comput Chem Eng"},{"key":"400_CR4","doi-asserted-by":"publisher","first-page":"1687","DOI":"10.1016\/j.compchemeng.2010.03.005","volume":"34","author":"DC Cafaro","year":"2010","unstructured":"Cafaro DC, Cerd\u00e1 J (2010) Operational scheduling of refined products pipeline networks with simultaneous batch injections. Comput Chem Eng 34:1687\u20131704","journal-title":"Comput Chem Eng"},{"key":"400_CR5","doi-asserted-by":"publisher","first-page":"5064","DOI":"10.1021\/ie101462k","volume":"50","author":"DC Cafaro","year":"2012","unstructured":"Cafaro DC, Cerd\u00e1 J (2012a) A rigorous mathematical formulation for the scheduling of tree-structure pipeline networks. Ind Eng Chem Res 50:5064\u20135085","journal-title":"Ind Eng Chem Res"},{"key":"400_CR6","first-page":"158","volume":"34","author":"DC Cafaro","year":"2012","unstructured":"Cafaro DC, Cerd\u00e1 J (2012b) Rigorous scheduling of mesh-structure refined petroleum pipeline networks. Comput Chem Eng 34:158\u2013203","journal-title":"Comput Chem Eng"},{"key":"400_CR7","doi-asserted-by":"publisher","first-page":"6145","DOI":"10.1021\/ie202520a","volume":"51","author":"VG Cafaro","year":"2012","unstructured":"Cafaro VG, Cafaro DC, Mend\u00e9z CA et al (2012) Detailed scheduling of single-source pipelines with simultaneous deliveries to multiple offtake stations. Ind Eng Chem Res 51:6145\u20136165","journal-title":"Ind Eng Chem Res"},{"key":"400_CR8","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1016\/j.compchemeng.2014.05.012","volume":"72","author":"VG Cafaro","year":"2015","unstructured":"Cafaro VG, Cafaro DC, Mend\u00e9z CA et al (2015a) MINLP model for the detailed scheduling of refined products pipelines with flow rate dependent pumping costs. Comput Chem Eng 72:210\u2013221","journal-title":"Comput Chem Eng"},{"key":"400_CR9","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1016\/j.cie.2015.07.022","volume":"88","author":"VG Cafaro","year":"2015","unstructured":"Cafaro VG, Cafaro DC, Mend\u00e9z CA et al (2015b) Optimization model for the detailed scheduling of multi-source pipelines. Comput Ind Eng 88:395\u2013409","journal-title":"Comput Ind Eng"},{"key":"400_CR10","doi-asserted-by":"publisher","first-page":"11491","DOI":"10.1021\/ie1010993","volume":"49","author":"PM Castro","year":"2010","unstructured":"Castro PM (2010) Optimal scheduling of pipeline systems with a resource-task network continuous-time formulation. Ind Eng Chem Res 49:11491\u201311505","journal-title":"Ind Eng Chem Res"},{"key":"400_CR11","doi-asserted-by":"publisher","first-page":"9638","DOI":"10.1021\/acs.iecr.7b01685","volume":"56","author":"PM Castro","year":"2017","unstructured":"Castro PM (2017) Optimal scheduling of multiproduct pipelines in networks with reversible flow. Ind Eng Chem Res 56:9638\u20139656","journal-title":"Ind Eng Chem Res"},{"key":"400_CR12","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1016\/j.compchemeng.2017.04.023","volume":"104","author":"PM Castro","year":"2017","unstructured":"Castro PM, Mostafaei H (2017) Product-centric continuous-time formulation for pipeline scheduling. Comput Chem Eng 104:283\u2013295","journal-title":"Comput Chem Eng"},{"key":"400_CR13","doi-asserted-by":"publisher","first-page":"5092","DOI":"10.1021\/acs.iecr.6b04745","volume":"56","author":"H Chen","year":"2017","unstructured":"Chen H, Wu C, Zuo L et al (2017a) Optimization of detailed schedule for a multiproduct pipeline using a simulated annealing algorithm and heuristic rules. Ind Eng Chem Res 56:5092\u20135106","journal-title":"Ind Eng Chem Res"},{"key":"400_CR14","doi-asserted-by":"publisher","first-page":"148","DOI":"10.1016\/j.petrol.2017.09.036","volume":"159","author":"H Chen","year":"2017","unstructured":"Chen H, Zuo L, Wu C et al (2017b) Optimizing detailed schedules of a multiproduct pipeline by a monolithic MILP formulation. J Pet Sci Eng 159:148\u2013163","journal-title":"J Pet Sci Eng"},{"key":"400_CR15","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1016\/j.compchemeng.2014.01.004","volume":"66","author":"JA Fabro","year":"2014","unstructured":"Fabro JA, Stebel SL, Rossato D et al (2014) A MILP (mixed integer linear programming) decomposition solution to the scheduling of heavy oil derivatives in a real-world pipeline. Comput Chem Eng 66:124\u2013138","journal-title":"Comput Chem Eng"},{"key":"400_CR16","doi-asserted-by":"publisher","first-page":"571","DOI":"10.1007\/s11081-014-9263-9","volume":"16","author":"AR Ghaffari-Hadigheh","year":"2015","unstructured":"Ghaffari-Hadigheh AR, Mostafaei H (2015) On the scheduling of real world multiproduct pipeline with simultaneous delivery. Optim Eng 16:571\u2013604","journal-title":"Optim Eng"},{"key":"400_CR17","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/BF02099692","volume":"57","author":"CA Hane","year":"1995","unstructured":"Hane CA, Ratliff HD (1995) Sequencing inputs to multi-commodity pipelines. Ann Oper Res 57:73\u2013101","journal-title":"Ann Oper Res"},{"key":"400_CR18","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1016\/j.compchemeng.2009.11.014","volume":"34","author":"A Herr\u00e1n","year":"2010","unstructured":"Herr\u00e1n A, de la Cruz JM, de Andr\u00e9s B (2010) Mathematical model for planning transportation of multiple petroleum products in a multi-pipeline system. Comput Chem Eng 34:401\u2013413","journal-title":"Comput Chem Eng"},{"key":"400_CR19","volume-title":"Modern petroleum technology-Part I","author":"WMC Jones","year":"1982","unstructured":"Jones WMC, Paddock KF (1982) Transport by pipeline. In: Hobson GD (ed) Modern petroleum technology-Part I. Wiley, London"},{"key":"400_CR20","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1016\/S0098-1354(03)00165-0","volume":"28","author":"L Magat\u00e3o","year":"2004","unstructured":"Magat\u00e3o L, Arruda LVR, Neves FA (2004) A mixed integer programming approach for scheduling commodities in a pipeline. Comput Chem Eng 28:171\u2013185","journal-title":"Comput Chem Eng"},{"key":"400_CR21","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/s10951-010-0186-9","volume":"14","author":"L Magat\u00e3o","year":"2011","unstructured":"Magat\u00e3o L, Arruda LVR, Neves F, Jr. (2011) A combined CLP-MILP approach for scheduling commodities in a pipeline. J Sched 14:57\u201387","journal-title":"J Sched"},{"key":"400_CR22","doi-asserted-by":"publisher","first-page":"4591","DOI":"10.1021\/ie2010252","volume":"51","author":"SNB Magat\u00e3o","year":"2012","unstructured":"Magat\u00e3o SNB, Magat\u00e3o L, Polli HL et al (2012) Planning and sequencing product distribution in a real-world pipeline network: an MILP decomposition approach. Ind Eng Chem Res 51:4591\u20134609","journal-title":"Ind Eng Chem Res"},{"key":"400_CR23","doi-asserted-by":"publisher","first-page":"5077","DOI":"10.1021\/ie5046796","volume":"54","author":"SNB Magat\u00e3o","year":"2015","unstructured":"Magat\u00e3o SNB, Magat\u00e3o L, Neves F et al (2015) A novel MILP decomposition approach for scheduling product distribution through a pipeline network. Ind Eng Chem Res 54:5077\u20135095","journal-title":"Ind Eng Chem Res"},{"key":"400_CR24","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1016\/j.compchemeng.2010.03.018","volume":"35","author":"SA MirHassani","year":"2011","unstructured":"MirHassani SA, Jahromi F (2011) Scheduling multi-product tree-structure pipelines. Comput Chem Eng 35:165\u2013176","journal-title":"Comput Chem Eng"},{"key":"400_CR25","doi-asserted-by":"publisher","first-page":"1923","DOI":"10.1002\/aic.15563","volume":"63","author":"H Mostafaei","year":"2017","unstructured":"Mostafaei H, Castro PM (2017) Continuous-time scheduling formulation for straight pipeline. AICHE J 63:1923\u20131936","journal-title":"AICHE J"},{"key":"400_CR26","doi-asserted-by":"publisher","first-page":"7029","DOI":"10.1021\/ie4038032","volume":"53","author":"H Mostafaei","year":"2014","unstructured":"Mostafaei H, Ghaffari-Hadigheh AR (2014) A general modeling framework for the long-term scheduling of multiproduct pipelines with delivery constraints. Ind Eng Chem Res 53:7029\u20137042","journal-title":"Ind Eng Chem Res"},{"key":"400_CR27","doi-asserted-by":"publisher","first-page":"979","DOI":"10.1007\/s40314-014-0162-7","volume":"34","author":"H Mostafaei","year":"2015","unstructured":"Mostafaei H, Alipouri Y, Shokri J (2015a) A mixed-integer linear programming for scheduling a multi-product pipeline with dual-purpose terminals. Comput Appl Math 34:979\u20131007","journal-title":"Comput Appl Math"},{"key":"400_CR28","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1007\/s00186-014-0486-5","volume":"81","author":"H Mostafaei","year":"2015","unstructured":"Mostafaei H, Alipouri Y, Zadahmad M (2015b) A mathematical model for scheduling of real-world tree-structured multi-product pipeline system. Math Methods Oper Res 81:53\u201381","journal-title":"Math Methods Oper Res"},{"key":"400_CR29","doi-asserted-by":"publisher","first-page":"9202","DOI":"10.1021\/acs.iecr.5b01440","volume":"54","author":"H Mostafaei","year":"2015","unstructured":"Mostafaei H, Castro PM, Ghaffari-Hadigheh A (2015c) A novel monolithic MILP framework for lot-sizing and scheduling of multiproduct tree-like pipeline networks. Ind Eng Chem Res 54:9202\u20139221","journal-title":"Ind Eng Chem Res"},{"key":"400_CR30","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1016\/j.cor.2016.03.006","volume":"73","author":"H Mostafaei","year":"2016","unstructured":"Mostafaei H, Castro PM, Ghaffari-Hadigheh AR (2016) Short-term scheduling of multiple source pipelines with simultaneous injections and deliveries. Comput Oper Res 73:27\u201342","journal-title":"Comput Oper Res"},{"key":"400_CR31","doi-asserted-by":"publisher","first-page":"1229","DOI":"10.1016\/S0098-1354(03)00049-8","volume":"27","author":"R Rejowski","year":"2003","unstructured":"Rejowski R, Pinto JM (2003) Scheduling of a multiproduct pipeline system. Comput Chem Eng 27:1229\u20131246","journal-title":"Comput Chem Eng"},{"key":"400_CR32","doi-asserted-by":"publisher","first-page":"1511","DOI":"10.1016\/j.compchemeng.2003.12.001","volume":"28","author":"R Rejowski","year":"2004","unstructured":"Rejowski R, Pinto JM (2004) Efficient MILP formulations and valid cuts for multiproduct pipeline scheduling. Comput Chem Eng 28:1511\u20131528","journal-title":"Comput Chem Eng"},{"key":"400_CR33","doi-asserted-by":"publisher","first-page":"1042","DOI":"10.1016\/j.compchemeng.2007.06.021","volume":"32","author":"R Rejowski","year":"2008","unstructured":"Rejowski R, Pinto JM (2008) A novel continuous time representation for the scheduling of pipeline systems with pumping yield rate constraints. Comput Chem Eng 32:1042\u20131066","journal-title":"Comput Chem Eng"},{"key":"400_CR34","doi-asserted-by":"publisher","first-page":"7841","DOI":"10.1021\/ie060309c","volume":"45","author":"S Relvas","year":"2006","unstructured":"Relvas S, Matos HM, Barbosa-P\u00f3voa A et al (2006) Pipeline scheduling and inventory management of a multiproduct distribution oil system. Ind Eng Chem Res 45:7841\u20137855","journal-title":"Ind Eng Chem Res"},{"key":"400_CR35","doi-asserted-by":"publisher","first-page":"955","DOI":"10.1016\/j.omega.2013.01.001","volume":"41","author":"S Relvas","year":"2013","unstructured":"Relvas S, Boschetto Magat\u00e3o SN, Barbosa-P\u00f3voa A et al (2013) Integrated scheduling and inventory management of an oil products distribution system. Omega 41:955\u2013968","journal-title":"Omega"},{"key":"400_CR36","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1016\/S0950-7051(97)00026-9","volume":"10","author":"M Sasikumar","year":"1997","unstructured":"Sasikumar M, Prakash PR, Patil SM (1997) PIPES: a heuristic search model for pipeline schedule generation. Knowl Based Syst 10:169\u2013175","journal-title":"Knowl Based Syst"},{"key":"400_CR37","doi-asserted-by":"publisher","first-page":"11417","DOI":"10.1021\/ie202590t","volume":"51","author":"SL Stebel","year":"2012","unstructured":"Stebel SL, Magatao SNB, Arruda LVR et al (2012) Mixed integer linear programming formulation for aiding planning activities in a complex pipeline network. Ind Eng Chem Res 51:11417\u201311433","journal-title":"Ind Eng Chem Res"},{"key":"400_CR38","doi-asserted-by":"publisher","DOI":"10.1007\/s12351-017-0329-2","author":"M Taherkhani","year":"2017","unstructured":"Taherkhani M, Seifbarghy M, Tavakkoli-Moghaddam R et al (2017) Mixed-integer linear programming model for tree-like pipeline scheduling problem with intermediate due dates on demands. Oper Res Int J. \nhttps:\/\/doi.org\/10.1007\/s12351-017-0329-2","journal-title":"Oper Res Int J"},{"key":"400_CR39","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1007\/s12351-015-0212-y","volume":"16","author":"A Zaghian","year":"2016","unstructured":"Zaghian A, Mostafaei H (2016) An MILP model for scheduling the operation of a refined petroleum products distribution system. Oper Res Int J 16:513\u2013542","journal-title":"Oper Res Int J"},{"key":"400_CR40","doi-asserted-by":"publisher","first-page":"612","DOI":"10.1016\/j.energy.2016.11.027","volume":"119","author":"HR Zhang","year":"2017","unstructured":"Zhang HR, Liang YT, Liao Q et al (2017) A hybrid computational approach for detailed scheduling of products in a pipeline with multiple pump stations. Energy 119:612\u2013628","journal-title":"Energy"},{"key":"400_CR41","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1007\/978-0-387-88617-6_2","volume":"30","author":"D Zyngier","year":"2009","unstructured":"Zyngier D, Kelly JD (2009) Multi-product inventory logistics modeling in the process industries. Optim Logist Chall Enterp 30:61\u201395","journal-title":"Optim Logist Chall Enterp"}],"container-title":["Operational Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12351-018-0400-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s12351-018-0400-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12351-018-0400-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,9]],"date-time":"2020-10-09T18:30:23Z","timestamp":1602268223000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s12351-018-0400-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,26]]},"references-count":41,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2020,12]]}},"alternative-id":["400"],"URL":"https:\/\/doi.org\/10.1007\/s12351-018-0400-7","relation":{},"ISSN":["1109-2858","1866-1505"],"issn-type":[{"value":"1109-2858","type":"print"},{"value":"1866-1505","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,26]]},"assertion":[{"value":"27 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 April 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 April 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}