Heuristics for a dynamic rural postman problem
Computers and Operations Research
Expert Systems with Applications: An International Journal
Expert Systems with Applications: An International Journal
A global constraint for nesting problems
Artificial Intelligence Review
Mathematical model and efficient algorithms for object packing problem
Computational Geometry: Theory and Applications
A beam search implementation for the irregular shape packing problem
Journal of Heuristics
Computers and Operations Research
Journal of Intelligent Manufacturing
Algorithms for nesting with defects
Discrete Applied Mathematics
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Sequential meta-heuristic implementations for the irregular stock-cutting problem have highlighted a number of common problems. The literature suggests a consensus that it is more efficient to allow configurations with overlapping pieces in the solution space and to penalise these in the evaluation function. However, depending on the severity of the penalty this relaxation results in a tendency to converge toward infeasible solutions or to seek out feasible solutions at the expense of overall quality. A further problem is encountered in defining a neighbourhood search strategy that can deal with the infinite solution space inherent in the irregular stock-cutting problem. The implementation in this paper adopts a hybrid tabu search approach that incorporates two very different optimisation routines that utilise alternative neighbourhoods to address the described problems.