1999
DOI: 10.1016/s0360-8352(99)00097-2
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A genetic algorithm for a 2D industrial packing problem

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Cited by 131 publications
(55 citation statements)
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“…The problem can be further classified by the type of items that are to be placed. Whereas the rectangular (or orthogonal) problem involves the placement of rectangles onto rectangular stock sheets (Baker et al 1980, Hopper andTurton 1999), the irregular variant can involve items and sheets of any two-dimensional form that may contain arcs, concavities, and holes (Burke et al 2006), and typically require more sophisticated geometric algorithms (Bennell and Song 2008, Burke et al 2007, Bennell et al 2001. Three-dimensional problems are generally constrained to the packing of boxes into regular container boxes (i.e., pallet or lorry loading), although the packing of irregular three-dimensional forms has also been attempted (Stoyan et al 2002).…”
Section: Introductionmentioning
confidence: 99%
“…The problem can be further classified by the type of items that are to be placed. Whereas the rectangular (or orthogonal) problem involves the placement of rectangles onto rectangular stock sheets (Baker et al 1980, Hopper andTurton 1999), the irregular variant can involve items and sheets of any two-dimensional form that may contain arcs, concavities, and holes (Burke et al 2006), and typically require more sophisticated geometric algorithms (Bennell and Song 2008, Burke et al 2007, Bennell et al 2001. Three-dimensional problems are generally constrained to the packing of boxes into regular container boxes (i.e., pallet or lorry loading), although the packing of irregular three-dimensional forms has also been attempted (Stoyan et al 2002).…”
Section: Introductionmentioning
confidence: 99%
“…Examples of their success can be found in areas as diverse as 2D packing (Hopper & Turton, 1999), protein folding simulations (Unger & Moult, 1993) and jazz improvisation (Biles, 1994).…”
Section: Genetic Algorithms and Interactive Genetic Algorithmsmentioning
confidence: 99%
“…Due to its robustness, it's particularly suited to deal with the complicated and non-linear problems that traditional search algorithms are hard to solve [2].Genetic algorithm develops from Darwin's theory of evolution thought, genetic algorithm uses a natural evolutionary model, according to the "struggle for existence" and "survival of the fittest" principle, through reproduction, crossover, mutation, so it can solve the problem from the initial solution then step by step and approach the optimal solution [3,4].Early garment CAD algorithms mainly use this algorithm, but for the effect is not so good when doing complex marker making .…”
Section: A Genetic Algorithmmentioning
confidence: 99%