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The problem is formulated as a mixed integer program and an efficient decomposition\u2010based methodology is developed for its solution. The methodology adopts a modified version of the column generation algorithm, which implements iterative decomposition and network augmentation techniques to allow studying networks of moderate size. The results of a set of experiments considering grid and real\u2010world networks are presented. The results show that increasing the number of passengers willing to rideshare and\/or transfer improves the overall performance of ODMS as it increases number of served passengers and associated profit and reduces the number of used vehicles. Although presented as an offline planning tool, the methodology could be adopted for real\u2010time applications as adequate computational resources become available.<\/jats:p>","DOI":"10.1111\/mice.12366","type":"journal-article","created":{"date-parts":[[2018,4,19]],"date-time":"2018-04-19T14:32:04Z","timestamp":1524148324000},"page":"21-37","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Modeling Framework and Decomposition Scheme for On\u2010Demand Mobility Services with Ridesharing and Transfer"],"prefix":"10.1111","volume":"34","author":[{"given":"Sepide","family":"Lotfi","sequence":"first","affiliation":[{"name":"Department of Civil and Environmental Engineering Southern Methodist University Dallas TX USA"}]},{"given":"Khaled","family":"Abdelghany","sequence":"additional","affiliation":[{"name":"Department of Civil and Environmental Engineering Southern Methodist University Dallas TX USA"}]},{"given":"Hossein","family":"Hashemi","sequence":"additional","affiliation":[{"name":"Tiger Analytics Consulting Management Dallas TX USA"}]}],"member":"311","published-online":{"date-parts":[[2018,4,19]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.sbspro.2011.04.530"},{"issue":"2","key":"e_1_2_7_3_1","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/j.ejor.2012.05.028","article-title":"Optimization for dynamic ride sharing: a review","volume":"223","author":"Agatz N.","year":"2012","journal-title":"European Journal of Operational Research"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1611675114"},{"key":"e_1_2_7_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.parco.2003.12.001"},{"key":"e_1_2_7_6_1","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1100.0881"},{"key":"e_1_2_7_7_1","doi-asserted-by":"publisher","DOI":"10.1287\/opre.46.3.316"},{"key":"e_1_2_7_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11750-007-0009-0"},{"key":"e_1_2_7_9_1","doi-asserted-by":"publisher","DOI":"10.1287\/ijoc.1110.0454"},{"key":"e_1_2_7_10_1","unstructured":"Campbell H.(2016) How Are Uber and Lyft Working with Public Transportation Authorities? 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