Abstract

GOMEZ, Juan Carlos  and  TERASHIMA-MARIN, Hugo. Building General Hyper-Heuristics for Multi-Objective Cutting Stock Problem. Comp. y Sist. [online]. 2012, vol.16, n.3, pp.321-334. ISSN 2007-9737.

In this article we build multi-objective hyper-heuristics (MOHHs) using the multi-objective evolutionary algorithm NSGA-II for solving irregular 2D cutting stock problems under a bi-objective minimization schema, having a trade-off between the number of sheets used to fit a finite number of pieces and the time required to perform the placement of these pieces. We solve this problem using a multi-objective variation of hyper-heuristics called MOHH, whose main idea consists of finding a set of simple heuristics which can be combined to find a general solution, where a single heuristic is applied depending on the current condition of the problem instead of applying a unique single heuristic during the whole placement process. MOHHs are built after going through a learning process using the NSGA-II, which evolves combinations of condition-action rules producing at the end a set of Pareto-optimal MOHHs. We test the approximated MOHHs on several sets of benchmark problems and present the results.

Keywords : Hyper-heuristics; multi-objective; optimization; evolutionary computation; cutting problems.

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