{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,27]],"date-time":"2023-10-27T01:23:09Z","timestamp":1698369789774},"reference-count":11,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2006,10,11]],"date-time":"2006-10-11T00:00:00Z","timestamp":1160524800000},"content-version":"vor","delay-in-days":7984,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Networks"],"published-print":{"date-parts":[[1984,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Given a transportation flow network with two arcs in antiparallel, if the capacities of all other arcs are fixed and the demands at sinks are fixed, at least one of the two arcs will be irrelevant to the problem of flow feasibility. As a consequence, in a stochastic setting, two arcs in antiparallel whose capacities are independent of other network capacities and demands may be treated as having independent probability distributions regardless of their actual correlation.<\/jats:p>","DOI":"10.1002\/net.3230140407","type":"journal-article","created":{"date-parts":[[2007,5,11]],"date-time":"2007-05-11T18:50:09Z","timestamp":1178909409000},"page":"567-570","source":"Crossref","is-referenced-by-count":9,"title":["Note on independence of arcs in antiparallel for network flow problems"],"prefix":"10.1002","volume":"14","author":[{"given":"Jane Nichols","family":"Hagstrom","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,11]]},"reference":[{"key":"e_1_2_1_2_2","unstructured":"A.AgrawalandA.Satyanarayana AnO(|E|) time algorithm for computing the reliability of a class of directed networks. Technical report 82\u20107 Operations Research Center University of California Berkeley 94720 (1982) 28pp."},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1002\/net.3230100206"},{"key":"e_1_2_1_4_2","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1051\/ro\/197206V300451","article-title":"Transportation networks with random arc capacities","volume":"3","author":"Doulliez P.","year":"1972","journal-title":"Revue Franc. d'Automatique, Informatique, et Recherche Operationelle"},{"key":"e_1_2_1_5_2","unstructured":"J. N.Hagstrom Combinatorial properties for directed network reliability with a path length criterion. Technical report 82\u201014 College of Business Administration University of Illinois Chicago (1983) 26pp."},{"key":"e_1_2_1_6_2","unstructured":"J. N.Hagstrom Using the decomposition tree for directed network reliability computations. Technical report 83\u201003. Department of Quantitative Methods University of Illinois Chicago (1983) 22pp."},{"key":"e_1_2_1_7_2","unstructured":"J.KahnandD.Sturtevant Mobius inversion and directed network reliability. Technical report Department of Mathematics Rutgers University New Brunswick NJ (1983) 11pp."},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TR.1980.5220695"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/TR.1979.5220643"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/TR.1982.5221215"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1002\/net.3230110405"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1002\/net.3230100107"}],"container-title":["Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fnet.3230140407","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/net.3230140407","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,20]],"date-time":"2023-10-20T15:58:03Z","timestamp":1697817483000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/net.3230140407"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1984,12]]},"references-count":11,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1984,12]]}},"alternative-id":["10.1002\/net.3230140407"],"URL":"https:\/\/doi.org\/10.1002\/net.3230140407","archive":["Portico"],"relation":{},"ISSN":["0028-3045","1097-0037"],"issn-type":[{"value":"0028-3045","type":"print"},{"value":"1097-0037","type":"electronic"}],"subject":[],"published":{"date-parts":[[1984,12]]}}}