{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,10]],"date-time":"2026-06-10T15:26:41Z","timestamp":1781105201906,"version":"3.54.1"},"reference-count":34,"publisher":"IGI Global Scientific Publishing","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,1,1]]},"abstract":"<p>The hub network expansion problem over planning horizon is addressed in this paper. In the extensive literature on hub network problem, it has widely been assumed that all P hub facilities must be located in current period and they do not take into account variation of demands, investment opportunities and net present cost. In this study, it is supposed that P hub facilities should have been located over planning horizon under variation of demands of every pair of nodes over time periods and also considering congestion effects at hub nodes. In this study, a mixed integer nonlinear programming formulation which minimizing the net present cost of planning horizon is presented. The Variable Neighborhood Search (VNS) algorithm is developed and successfully solved many instances of standard Childhood and Beyond (CAB) dataset and the results verify applicability of the proposed model and algorithm.<\/p>","DOI":"10.4018\/ijsds.2015010102","type":"journal-article","created":{"date-parts":[[2015,3,4]],"date-time":"2015-03-04T15:09:19Z","timestamp":1425481759000},"page":"17-32","source":"Crossref","is-referenced-by-count":1,"title":["A Variable Neighborhood Search Algorithm for Network Expansion Deferment in a Hub Network"],"prefix":"10.4018","volume":"6","author":[{"given":"Masoud","family":"Rabbani","sequence":"first","affiliation":[{"name":"School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Amir","family":"Farshbaf-Geranmayeh","sequence":"additional","affiliation":[{"name":"School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohsen","family":"Hasani","sequence":"additional","affiliation":[{"name":"School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mahyar","family":"Rezaei","sequence":"additional","affiliation":[{"name":"School of Industrial EngineeringCollege of Engineering, University of Tehran, Tehran, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2432","reference":[{"key":"ijsds.2015010102-0","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2007.06.008"},{"key":"ijsds.2015010102-1","doi-asserted-by":"publisher","DOI":"10.1016\/j.trb.2011.11.006"},{"key":"ijsds.2015010102-2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2009.01.009"},{"key":"ijsds.2015010102-3","doi-asserted-by":"publisher","DOI":"10.1287\/trsc.1120.0410"},{"key":"ijsds.2015010102-4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2011.02.018"},{"key":"ijsds.2015010102-5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2009.05.044"},{"key":"ijsds.2015010102-6","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2010.04.015"},{"issue":"1","key":"ijsds.2015010102-7","first-page":"347","article-title":"The single-allocation hierarchical hub median location problem with fuzzy demands.","volume":"6","author":"S.Davari","year":"2012","journal-title":"African Journal of Business Manegement"},{"key":"ijsds.2015010102-8","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2011.09.026"},{"key":"ijsds.2015010102-9","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.02.035"},{"key":"ijsds.2015010102-10","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2008.10.004"},{"key":"ijsds.2015010102-11","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(98)00395-6"},{"key":"ijsds.2015010102-12","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2008.11.014"},{"key":"ijsds.2015010102-13","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2003.11.016"},{"key":"ijsds.2015010102-14","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2013.01.012"},{"key":"ijsds.2015010102-15","doi-asserted-by":"publisher","DOI":"10.1007\/s10109-011-0157-5"},{"key":"ijsds.2015010102-16","doi-asserted-by":"publisher","DOI":"10.1016\/S0966-8349(98)00042-4"},{"key":"ijsds.2015010102-17","doi-asserted-by":"publisher","DOI":"10.1002\/net.20193"},{"key":"ijsds.2015010102-18","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2011.09.063"},{"key":"ijsds.2015010102-19","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2013.06.006"},{"key":"ijsds.2015010102-20","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(02)00052-7"},{"key":"ijsds.2015010102-21","doi-asserted-by":"publisher","DOI":"10.1016\/S0191-2615(98)00021-6"},{"key":"ijsds.2015010102-22","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(01)00151-5"},{"key":"ijsds.2015010102-23","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2010.07.018"},{"key":"ijsds.2015010102-24","doi-asserted-by":"publisher","DOI":"10.4018\/ijsds.2013100103"},{"issue":"11","key":"ijsds.2015010102-25","first-page":"620","article-title":"A Stochastic Capacitated P-hub Location Problem: A Case Study of Iran.","volume":"8","author":"M.Rostami","year":"2012","journal-title":"Journal of American Science"},{"key":"ijsds.2015010102-26","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(99)00043-X"},{"key":"ijsds.2015010102-27","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0037(200001)35:1<17::AID-NET2>3.0.CO;2-N"},{"key":"ijsds.2015010102-28","doi-asserted-by":"publisher","DOI":"10.4018\/jsds.2011070103"},{"key":"ijsds.2015010102-29","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2011.03.004"},{"key":"ijsds.2015010102-30","doi-asserted-by":"publisher","DOI":"10.4018\/ijsds.2014070102"},{"key":"ijsds.2015010102-31","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2007.01.014"},{"key":"ijsds.2015010102-32","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2011.01.014"},{"key":"ijsds.2015010102-33","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2012.02.005"}],"container-title":["International Journal of Strategic Decision Sciences"],"original-title":[],"language":"ng","link":[{"URL":"https:\/\/www.igi-global.com\/viewtitle.aspx?TitleId=124771","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,2]],"date-time":"2022-06-02T01:11:24Z","timestamp":1654132284000},"score":1,"resource":{"primary":{"URL":"https:\/\/services.igi-global.com\/resolvedoi\/resolve.aspx?doi=10.4018\/ijsds.2015010102"}},"subtitle":[""],"short-title":[],"issued":{"date-parts":[[2015,1,1]]},"references-count":34,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,1]]}},"URL":"https:\/\/doi.org\/10.4018\/ijsds.2015010102","relation":{},"ISSN":["1947-8569","1947-8577"],"issn-type":[{"value":"1947-8569","type":"print"},{"value":"1947-8577","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,1]]}}}