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Can I read Models and Algorithms for Three-stage Two-dimensional Bin Packing on EtoBox?
Models and Algorithms for Three-stage Two-dimensional Bin Packing by Jakob Puchinger; Günther R. Raidl is a Engineering article available to read on EtoBox.
What is Models and Algorithms for Three-stage Two-dimensional Bin Packing about?
We consider the three-stage two-dimensional bin packing problem (2BP) which occurs in real-world applications such as glass, paper, or steel cutting. We present new integer linear programming formulations: models for a restricted version and the original version of the problem are developed. Both only involve polynomial numbers of variables and constraints and effectively avoid symmetries. Those models are solved using CPLEX. Furthermore, a branch-and-price (B&P) algorithm is presented for a set covering formulation of the unrestricted problem, which corresponds to a Dantzig-Wolfe decomposition of the polynomially-sized model. We consider column generation stabilization in the B&P algorithm using dual-optimal inequalities. Fast column generation is performed by applying a hierarchy of four methods: (a) a fast greedy heuristic, (b) an evolutionary algorithm, (c) solving a restricted form of the pricing problem using CPLEX, and finally (d) solving the complete pricing problem using CPLEX. Computational experiments on standard benchmark instances document the benefits of the new approaches: The restricted version of the integer linear programming model can be used to quickly obtain ne
Who reads Models and Algorithms for Three-stage Two-dimensional Bin Packing?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Jakob Puchinger; Günther R. Raidl
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-2217)
- Published
- 2007
- Language
- EN
- Field
- Engineering (Physical Sciences)