{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,24]],"date-time":"2025-10-24T07:53:52Z","timestamp":1761292432948},"reference-count":10,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,10,11]],"date-time":"2006-10-11T00:00:00Z","timestamp":1160524800000},"content-version":"vor","delay-in-days":8898,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Networks"],"published-print":{"date-parts":[[1982,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This article considers the error induced when the nodes of a large convex\u2010cost network problem are aggregated to form a smaller problem. First, I formalize the notion of aggregation, focusing on disaggregation of the solution and construction of the cost functions of the aggregate problem. I then explore qualitatively the conditions under which the error is likely to be small, and show how to compute bounds on the error.<\/jats:p>","DOI":"10.1002\/net.3230120203","type":"journal-article","created":{"date-parts":[[2007,5,11]],"date-time":"2007-05-11T13:20:18Z","timestamp":1178889618000},"page":"101-117","source":"Crossref","is-referenced-by-count":6,"title":["Aggregation and disaggregation in convex network problems"],"prefix":"10.1002","volume":"12","author":[{"given":"Paul H.","family":"Zipkin","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","doi-asserted-by":"publisher","DOI":"10.1287\/opre.13.1.82"},{"key":"e_1_2_1_3_2","series-title":"Ser. No. 21","volume-title":"A Second\u2010Order Algorithm for Network Flow Problems with Convex Separable Costs","author":"Dembo R.","year":"1978"},{"key":"e_1_2_1_4_2","unstructured":"J.Evans Solving multicommodity transportation problems through aggregation. Presented at ORSA\/TIMS Meeting Los Angeles (1978)."},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/nav.3800030109"},{"key":"e_1_2_1_6_2","unstructured":"A.Geoffrion Customer Aggregation in Distribution Modelling.Working Paper No. 259 Management Science Study Center Univ. of California Los Angeles (1976)."},{"key":"e_1_2_1_7_2","unstructured":"R.HelgasonandJ.Kennington An Efficient Specialization of the Convex Simplex Method for Nonlinear Network Flow Problems.Technical Report No. IEOR 77017 Department of Industrial Engineering and Operations Research Southern Methodist Univ. Dallas (1978)."},{"key":"e_1_2_1_8_2","volume-title":"Aggregation in Network Models for Transportation Planning\u2014Final Report","author":"Kuhn H.","year":"1975"},{"key":"e_1_2_1_9_2","unstructured":"S.Lee Surrogate Programming through Aggregation. Ph.D. Dissertation Univ. of California Los Angeles (1975)."},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01581638"},{"key":"e_1_2_1_11_2","unstructured":"P.Zipkin Error Bounds for Aggregated Convex Transportation Problems.Research Paper No. 93A Grad. School of Business Columbia Univ. (1978)."}],"container-title":["Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fnet.3230120203","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/net.3230120203","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,12]],"date-time":"2023-11-12T13:30:34Z","timestamp":1699795834000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/net.3230120203"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1982,6]]},"references-count":10,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1982,6]]}},"alternative-id":["10.1002\/net.3230120203"],"URL":"https:\/\/doi.org\/10.1002\/net.3230120203","archive":["Portico"],"relation":{},"ISSN":["0028-3045","1097-0037"],"issn-type":[{"value":"0028-3045","type":"print"},{"value":"1097-0037","type":"electronic"}],"subject":[],"published":{"date-parts":[[1982,6]]}}}