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Due to some uncertainties in real environment (for example, a proportion of vehicles owned by the provider may be reserved by other customers), the available capacity of the provider along each arc is stochastic. Thus, network reliability that at least <jats:italic>d<\/jats:italic> units of commodity demand can be successfully delivered from the source to the destination denotes the operational performance of such a freight network. A <jats:italic>d<\/jats:italic>\u2010minimal path\u2013based method is developed to evaluate the freight network reliability. To advance the efficiency of solving <jats:italic>d<\/jats:italic>\u2010minimal paths, an improved model is established by redefining capacity bounds of arcs and minimal paths. Furthermore, a new concept of expected capacity grounded on network reliability is presented to measure the service performance of the freight network. A practical case related to the coal delivery network is studied to demonstrate the implications of both network reliability and expected capacity.<\/jats:p>","DOI":"10.1155\/2018\/9142542","type":"journal-article","created":{"date-parts":[[2018,9,18]],"date-time":"2018-09-18T23:31:26Z","timestamp":1537313486000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Performance Assessment of a Freight Network with Stochastic Capacities"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8618-9566","authenticated-orcid":false,"given":"Xiu-Zhen","family":"Xu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7246-8089","authenticated-orcid":false,"given":"Yi-Feng","family":"Niu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qing","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2018,9,18]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2010.09.011"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2012.07.033"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2016.2574910"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/2017634"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.tre.2015.03.001"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.15446\/dyna.v81n187.46105"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2016.1157222"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/tr.2008.2011660"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1080\/0740817X.2013.876130"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.tre.2010.09.012"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1002\/nav.21507"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.tre.2017.01.008"},{"key":"e_1_2_11_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.tre.2014.04.009"},{"key":"e_1_2_11_14_2","doi-asserted-by":"publisher","DOI":"10.1002\/net.3230250306"},{"key":"e_1_2_11_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(00)00039-3"},{"key":"e_1_2_11_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s001700200127"},{"key":"e_1_2_11_17_2","doi-asserted-by":"publisher","DOI":"10.1057\/palgrave.jors.2601951"},{"key":"e_1_2_11_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.02.016"},{"key":"e_1_2_11_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2017.05.032"},{"key":"e_1_2_11_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2011.11.055"},{"key":"e_1_2_11_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11518-017-5343-7"},{"key":"e_1_2_11_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jocs.2016.05.011"},{"key":"e_1_2_11_23_2","doi-asserted-by":"publisher","DOI":"10.1515\/9781400875184"},{"key":"e_1_2_11_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(96)00269-X"},{"key":"e_1_2_11_25_2","doi-asserted-by":"publisher","DOI":"10.1109\/TR.2012.2220897"},{"key":"e_1_2_11_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2016.01.011"},{"key":"e_1_2_11_27_2","doi-asserted-by":"publisher","DOI":"10.1109\/tsmca.2009.2026209"},{"key":"e_1_2_11_28_2","doi-asserted-by":"crossref","unstructured":"ChenS. 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