A LAGRANGIAN RELAXATION-BASED ALGORITHM FOR THE ALLOCATION OF YARD CRANES FOR YARD ACTIVITIES WITH DIFFERENT PRIORITIES

This paper proposes a mixed integer programming model for the allocation of rail mounted gantry cranes for four basic yard activities with different priorities. The model pays special attention to the typical features of this kind of gantry cranes, such as a restricted traveling range and a limited...

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Vydáno v:Journal of systems science and systems engineering Ročník 22; číslo 2; s. 227 - 252
Hlavní autoři: Zhang, Canrong, Wu, Tao, Zheng, Li, Miao, Lixin
Médium: Journal Article
Jazyk:angličtina
Vydáno: Heidelberg SP Systems Engineering Society of China 01.06.2013
Springer
Springer Nature B.V
Department of Industrial Engineering, Tsinghua University, Beijing 10084, China%Business Analytics and Optimization, University of Phoenix, Apollo Group, Inc., Phoenix, AZ 85040, U.S.A.%Department of Industrial Engineering, Tsinghua University, Beijing 10084, China%Logistics Engineering and Simulation Laboratory, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China
Logistics Engineering and Simulation Laboratory, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China
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ISSN:1004-3756, 1861-9576
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Shrnutí:This paper proposes a mixed integer programming model for the allocation of rail mounted gantry cranes for four basic yard activities with different priorities. The model pays special attention to the typical features of this kind of gantry cranes, such as a restricted traveling range and a limited number of adjustments during loading and discharging operations. In contrast to most of the literature dealing with these four yard activities individually, this paper models them into an integrated problem, whose computational complexity is proved to be NP-hard. We are therefore motivated to develop a Lagrangian relaxation-based heuristic to solve the problem. We compare the proposed heuristic with the branch-and-bound method that uses commercial software packages. Extensive computational results show that the proposed heuristic achieves competitive solution qualities for solving the tested problems.
Bibliografie:Crane allocation, container terminal, Lagrangian relaxation, sub-gradient, yard crane
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This paper proposes a mixed integer programming model for the allocation of rail mounted gantry cranes for four basic yard activities with different priorities. The model pays special attention to the typical features of this kind of gantry cranes, such as a restricted traveling range and a limited number of adjustments during loading and discharging operations. In contrast to most of the literature dealing with these four yard activities individually, this paper models them into an integrated problem, whose computational complexity is proved to be NP-hard. We are therefore motivated to develop a Lagrangian relaxation-based heuristic to solve the problem. We compare the proposed heuristic with the branch-and-bound method that uses commercial software packages. Extensive computational results show that the proposed heuristic achieves competitive solution qualities for solving the tested problems.
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ISSN:1004-3756
1861-9576
DOI:10.1007/s11518-013-5215-8