Branch-And-Price: Column Generation for Solving Huge Integer Programs
Operations Research
An Optimal Routing Algorithm for a Transfer Crane in Port Container Terminals
Transportation Science
Interblock Crane Deployment in Container Terminals
Transportation Science
A decision support system for operations in a container terminal
Decision Support Systems
Selected Topics in Column Generation
Operations Research
Modeling and solving rich quay crane scheduling problems
Computers and Operations Research
An Exact Algorithm for the Integrated Planning of Berth Allocation and Quay Crane Assignment
Transportation Science
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Crane sequencing in container terminals determines the order of ship discharging and loading jobs that quay cranes (QCs) perform, so that the duration of a vessel's stay is minimized. The ship's load profile, berthing time, number of available bays, and QCs are considered. More important, clearance and yard congestion constraints need to be included, which, respectively, ensure that a minimum distance between adjacent QCs is observed and yard storage blocks are not overly accessed at any point in time. In sequencing for a single ship, a mixed-integer programming (MIP) model is proposed, and a heuristic approach based on the model is developed that produces good solutions. The model is then reformulated as a generalized set covering problem and solved exactly by branch and price (B&P). For multiship sequencing, the yard congestion constraints are relaxed in the spirit of Lagrangian relaxation, so that the problem decomposes by vessel into smaller subproblems solved by B&P. An efficient primal heuristic is also designed. Computational experiments reveal that large-scale problems can be solved in a reasonable computational time.