Crane scheduling with non-crossing constraint

Crane scheduling with non-crossing constraint

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Article ID: iaor20072285
Country: United Kingdom
Volume: 57
Issue: 12
Start Page Number: 1464
End Page Number: 1471
Publication Date: Dec 2006
Journal: Journal of the Operational Research Society
Authors: ,
Keywords: optimization, optimization: simulated annealing, programming: branch and bound, heuristics
Abstract:

In this paper, we examine crane scheduling for ports. This important component of port operations management is studied when the non-crossing spatial constraint, which is common to crane operations, is considered. We assume that ships can be divided into holds and that cranes can move from hold to hold but jobs are not pre-emptive, so that only one crane can work on one hold or job to complete it. Our objective is to minimize the latest completion time for all jobs. We formulate this problem as an integer programming problem. We provide the proof that this problem is NP-complete and design a branch-and-bound algorithm to obtain optimal solutions. A simulated annealing meta-heuristic with effective neighbourhood search is designed to find good solutions in larger size instances. The elaborate experimental results show that the branch-and-bound algorithm runs much faster than CPLEX and the simulated annealing approach can obtain near optimal solutions for instances of various sizes.

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