Optimal layout of transshipment facility locations on an infinite homogeneous plane

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dc.contributor.authorXie, W.en
dc.contributor.authorOuyang, Y.en
dc.contributor.departmentIndustrial and Systems Engineeringen
dc.date.accessioned2018-07-25T20:44:02Zen
dc.date.available2018-07-25T20:44:02Zen
dc.date.issued2015-05-01en
dc.description.abstractThis paper studies optimal spatial layout of transshipment facilities and the corresponding service regions on an infinite homogeneous plane R<sup>2</sup> that minimize the total cost for facility set-up, outbound delivery and inbound replenishment transportation. The problem has strong implications in the context of freight logistics and transit system design. This paper first focuses on a Euclidean plane and presents a new proof for the known Gersho’s conjecture, which states that the optimal shape of each service region should be a regular hexagon if the inbound transportation cost is ignored. When inbound transportation cost becomes non-negligible, however, we show that a tight upper bound can be achieved by a type of elongated cyclic hexagons, while a cost lower bound based on relaxation and idealization is also obtained. The gap between the analytical upper and lower bounds is within 0.3%. This paper then shows that a similar elongated non-cyclic hexagon shape is actually optimal for service regions on a rectilinear metric plane. Numerical experiments and sensitivity analyses are conducted to verify the analytical findings and to draw managerial insights.en
dc.description.versionPublished versionen
dc.format.extent74 - 88 (15) page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1016/j.trb.2015.02.001en
dc.identifier.issn0191-2615en
dc.identifier.orcidXie, W [0000-0001-5157-1194]en
dc.identifier.urihttp://hdl.handle.net/10919/84390en
dc.identifier.volume75en
dc.language.isoenen
dc.publisherPergamon-Elsevieren
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000355039500005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSocial Sciencesen
dc.subjectScience & Technologyen
dc.subjectTechnologyen
dc.subjectEconomicsen
dc.subjectEngineering, Civilen
dc.subjectOperations Research & Management Scienceen
dc.subjectTransportationen
dc.subjectTransportation Science & Technologyen
dc.subjectBusiness & Economicsen
dc.subjectEngineeringen
dc.subjectLocationen
dc.subjectRoutingen
dc.subjectTransshipmenten
dc.subjectCyclic hexagonen
dc.subjectVoronoi diagramen
dc.subjectDISRUPTIONSen
dc.subjectINVENTORYen
dc.subjectDESIGNen
dc.subjectSYSTEMen
dc.subjectCOSTSen
dc.subjectRISKen
dc.titleOptimal layout of transshipment facility locations on an infinite homogeneous planeen
dc.title.serialTransportation Research Part B-Methodologicalen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineeringen
pubs.organisational-group/Virginia Tech/Engineering/COE T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineering/Industrial and Systems Engineeringen

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