Simulated Annealing Based Algorithm for the 2D Bin Packing Problem with Impurities

نویسندگان

  • B. Beisiegel
  • Josef Kallrath
  • Yury Kochetov
  • A. Rudnev
چکیده

In this paper we consider a more complicated real-world problem originating in the steel industry. The bins are inhomogeneous sheets with impurities. We assume that each impure area is rectangle. For each bin we are given a set of impurities, size, and location of each impurity into the bin. As a consequence now the bins are not identical anymore and the number of bins is finite. Moreover, we introduce the linear order on the set of bins. First of all, we have to use the first bin. If we need additional bins we use the second bin and so on. The items have the attribute whether they can be located in the area with impurities. The goal is to find solutions with a minimal number of bins.

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تاریخ انتشار 2005