This study proposes a branch-and-price algorithm to solve the Location-Routing Problem with Time Windows (LRPTW) which has never been attempted with the exact solutions before. The problem is solved by the simplex algorithm in the master problem and elementary shortest path problems with resource constraint corresponding to column generation in the subproblem until only the non-negative reduced cost columns remain. The proposed algorithm can solve many testing instances effectively. The computational results and the effect of time windows are also compared and discussed. (C) 2015 Elsevier Ltd. All rights reserved.
机构:
Tsinghua Univ, Dept Ind Engn, Beijing 100084, Peoples R China
Tsinghua Univ, Shenzhen Int Grad Sch, Div Logist & Transportat, Shenzhen 518055, Peoples R ChinaTsinghua Univ, Dept Ind Engn, Beijing 100084, Peoples R China
Wang, Mengtong
Zhang, Canrong
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Tsinghua Univ, Shenzhen Int Grad Sch, Div Logist & Transportat, Shenzhen 518055, Peoples R ChinaTsinghua Univ, Dept Ind Engn, Beijing 100084, Peoples R China
Zhang, Canrong
Bell, Michael G. H.
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Univ Sydney, Inst Transport & Logist Studies, Sydney, NSW 2006, AustraliaTsinghua Univ, Dept Ind Engn, Beijing 100084, Peoples R China
Bell, Michael G. H.
Miao, Lixin
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Tsinghua Univ, Shenzhen Int Grad Sch, Div Logist & Transportat, Shenzhen 518055, Peoples R China
Tsinghua Berkeley Shenzhen Inst, Intelligent Transportat & Logist Syst Lab, Shenzhen 518055, Peoples R ChinaTsinghua Univ, Dept Ind Engn, Beijing 100084, Peoples R China
机构:
Georgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30332 USA
Bilkent Univ, Dept Ind Engn, TR-06800 Ankara, TurkeyGeorgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30332 USA
Ozbaygin, Gizem
Karasan, Oya Ekin
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Bilkent Univ, Dept Ind Engn, TR-06800 Ankara, TurkeyGeorgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30332 USA
Karasan, Oya Ekin
Savelsbergh, Martin
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Georgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30332 USAGeorgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30332 USA
Savelsbergh, Martin
Yaman, Hande
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Bilkent Univ, Dept Ind Engn, TR-06800 Ankara, TurkeyGeorgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30332 USA