Two-dimensional finite bin-packing algorithms. Journal of the Operational Research Society, 38, 423-429.J.O.Berkey,P.Y.Wang.Two-dimensional Finite Bin-Packing Algor- ithms. Journal of the Operational Society .
Two-dimensional finite bin-packing algorithms Journal of the Operational Research Society (1987) M. Boschetti et al. New upper bounds for the two-dimensional orthogonal non guillotine cutting stock problem IMA Journal of Management Mathematics (2002) M. Boschetti et al. The two-dimensional finite ...
The problem is NP-hard in the strong sense, as it generalizes the well-known one-dimensional bin packing problem. Heuristic algorithms for 2BP|R|F have been presented by Bengtsson [2], El-Bouri et al. [6] and Lodi et al. [9]. Surveys on cutting and packing problems have been given...
Y. Wang, “Two-Dimensional Finite Bin-Packing Algorithms,” J. Oper. Res. Soc., vol. 38, no. 5, p. 423, May 1987 and Martello and D. Vigo, “Exact Solution of the Two-Dimensional Finite Bin Packing Problem,” Manage. Sci., vol. 44, no. April 2015, pp. 388–399, 1998 are ...
Martello, S., & Vigo, D. (1998). Exact solution of the two-dimensional finite bin packing problem. Management science, 44(3), 388-399. Soh, T., Inoue, K., Tamura, N., Banbara, M., & Nabeshima, H. (2010). A SAT-based method for solving the two-dimensional strip packing prob...
Cutting and PackingLower BoundsCombinatorial OptimizationThe Two-Dimensional Finite Bin Packing Problem (2BP) consists of determining the minimum number of large identical rectangles, bins , that are required for allocating without overlapping a given set of rectangular items. The items are allocated ...
approximation algorithms/ C1290 Applications of systems theoryMany problems, such as cutting stock problems and the scheduling of tasks with a shared resource, can be viewed as two-dimensional bin packing problems. Using the two-dimensional packing model of Baker, Coffman, and Rivest, a finite ...
This paper deals with the two-dimensional bin packing problem with conflicts (BPC-2D). Given a finite set of rectangular items, an unlimited number of rectangular bins and a conflict graph, the goal is to find a conflict-free packing of the items minimizing the number of bins used. In thi...
approximation algorithmsWe consider problems requiring to allocate a set of rectangular items to larger rectangular standardized units by minimizing the waste. In two-dimensional bin packing problems these units are finite rectangles, and the objective is to pack all the items into the minimum number ...
For this problem, the cut plans must decide the set of standard size stock sheets as well as which pieces to cut from each bin and how to arrange them in order to minimise waste material. Moreover, the literature constrains the orientation of pieces to a single or finite set of angles....