Berth and quay crane allocation: a moldable task scheduling model

Berth and quay crane allocation: a moldable task scheduling model

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Article ID: iaor20114857
Volume: 62
Issue: 7
Start Page Number: 1189
End Page Number: 1197
Publication Date: Jul 2011
Journal: Journal of the Operational Research Society
Authors: , , ,
Keywords: allocation: resources
Abstract:

We study the problem of allocating berths to incoming ships and assigning the necessary quay cranes to the ships at a port container terminal. We formulate the problem as the moldable task scheduling problem by considering the tasks as ships and processors as quay cranes assigned to the ships based on the observation that the berthing duration of a ship depends on the number of quay cranes allocated to it. In the model, the processing speed of a task is considered to be a non‐linear function of the number of processors allocated to it. We present a suboptimal algorithm that obtains a feasible solution to the discrete version of the problem from the continuous version, that is, where the tasks may require fractional quantities of the resources. We conducted computational experiments to evaluate the performance of the algorithm. The computational results show that the average behaviour of the algorithm is very good.

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