{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T06:17:27Z","timestamp":1762928247709,"version":"3.37.3"},"reference-count":18,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71102151","CUGL140424","CUG120111"],"award-info":[{"award-number":["71102151","CUGL140424","CUG120111"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan)","award":["71102151","CUGL140424","CUG120111"],"award-info":[{"award-number":["71102151","CUGL140424","CUG120111"]}]},{"name":"Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan)","award":["71102151","CUGL140424","CUG120111"],"award-info":[{"award-number":["71102151","CUGL140424","CUG120111"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>This paper studies the optimal hub routing problem of merged tasks in collaborative transportation. This problem allows all carriers\u2019 transportation tasks to reach the destinations optionally passing through 0, 1, or 2 hubs within limited distance, while a cost discount on arcs in the hub route could be acquired after paying fixed charges. The problem arises in the application of logistics, postal services, airline transportation, and so forth. We formulate the problem as a mixed-integer programming model, and provide two heuristic approaches, respectively, based on Lagrangian relaxation and Benders decomposition. Computational experiments show that the algorithms work well.<\/jats:p>","DOI":"10.1155\/2014\/621487","type":"journal-article","created":{"date-parts":[[2014,3,4]],"date-time":"2014-03-04T16:08:08Z","timestamp":1393949288000},"page":"1-8","source":"Crossref","is-referenced-by-count":5,"title":["Flow Merging and Hub Route Optimization in Collaborative Transportation"],"prefix":"10.1155","volume":"2014","author":[{"given":"Kerui","family":"Weng","sequence":"first","affiliation":[{"name":"School of Economics & Management, China University of Geosciences, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zi-hao","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Economics & Management, China University of Geosciences, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2009.08.002"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2009.2033578"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1504\/IJMHEUR.2010.033124"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-89619-7_15"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1287\/ijoc.1090.0370"},{"year":"2009","key":"7"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2008.12.019"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-007-9069-1"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/s00291-008-0159-y"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2008.09.003"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2010.04.015"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.trb.2009.12.016"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2010.07.018"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2008.11.014"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.1050.0406"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.1050.0407"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2009.01.009"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1287\/trsc.1080.0233"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/621487.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/621487.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/621487.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T18:36:00Z","timestamp":1471545360000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/621487\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":18,"alternative-id":["621487","621487"],"URL":"https:\/\/doi.org\/10.1155\/2014\/621487","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}