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Titlebook: Introduction to Cutting and Packing Optimization; Problems, Modeling A Guntram Scheithauer Textbook 2018 Springer International Publishing

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Knapsack Problems,ny algorithm for the knapsack problem which computes an optimal solution in polynomial time..Within this chapter we present basic techniques to solve the knapsack problem which often can be used in solution approaches for other cutting and packing problems.
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One-Dimensional Cutting Stock,try when the production of rectangular pieces has to be optimized. Subsequently, we address generalizations and present alternative models. Finally, we investigate the relation between the standard ILP model and its LP relaxation and observe a small gap for any 1CSP instance.
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Pallet Loading, can be packed and some ratio of the piece dimensions is fulfilled. Moreover, we investigate the special case of the . (GPLP) and show that an optimal pattern can be computed in polynomial time. Furthermore, we describe an efficient heuristic for the D’sPLP.
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Knapsack Problems,plest’ integer optimization problem. Since the knapsack problem already possesses essential difficulties of integer programming, it is subject of numerous investigations. It is well-known that the knapsack problem belongs to the class of . problems, i.e., with high probability there does not exist a
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