Cutting and Packing in Production and Distribution: A by Univ.-Professor Dr. Harald Dyckhoff, Dipl.-Ök. Ute Finke

By Univ.-Professor Dr. Harald Dyckhoff, Dipl.-Ök. Ute Finke (auth.)

Cutting and packing difficulties similar to the slicing of sheet steel and the loading of include­ ers or, in a extra summary experience, capital budgeting or meeting line balancing were handled in clinical literature of assorted disciplines for roughly fifty years. because the pioneer paintings of Kantorovich in 1939, which frrst seemed within the West in 1960, there was a gradually transforming into variety of contributions of accelerating value during this learn zone, rather some time past decade. As of at the present time greater than seven hundred contributions exist even if using a strict categorisation. due to the fact that complete monographies and compiled reports are nonetheless missing, it's very time eating and hence pricey to go looking for an appropriate resolution technique for concrete difficulties within the on hand literature. therefore, an it appears easier method is frequently selected, that's to strengthen ones personal technique. hence there isn't basically the risk of pointless attempt and medical repetition, however it is truth. With the aim of enhanced study coordination an interdisciplinary specified curiosity workforce on slicing and Packing (SICUP) used to be based in 1988, which meets each years (1988 Paris, 1990 Athens, 1992 San Francisco) and concerns a semi-annual publication (SICUP­ Bulletin) with up to date info. This publication is meant to aid within the coordination of study paintings during this area.

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G. sheet metal or glass plates) must be cut into smaller sizes of the same material thickness. There are relatively few actual situations in which a problem arises affecting all three spatial dimensions. They occur most often while loading containers, aeroplanes or ships. But even here one or more of the dimensions often can be standardized, so as to reduce the complexity of the problem to fewer dimensions. g. in the case of multi-period capital budgeting)3. They can also occur in loading containers, however, when 1) The assignment of software to reality-based attributes is purely arbitrary for the time being.

Since all available objects are to be included. a problem in their selection does not exist. Branch-and-bound or dynamic programming procedures often serve as solution methods for knapsack problems. 1) Cf. Dyc1choff (1987) p. 194. 2) Cf. Coffman et al. (1984). 42 5. Types of Cutting and Packing Problems in Literature In a pallet loading type a selection of homogeneous small items must be assigned to large objects. Since the assortment of the large objects in this case is also generally homogeneous, one representative solution suffices for the task.

Some properties such as 'multi-dimensionality' do not occur in the sources analysed. For these reasons we slightly changed the catalogue presented in Chapter 4 with respect to the characteristics based on the logical structure. 3. describes this. Investigating properties of reality-based attributes proves to be meaningful only in application-orientated papers and case studies. Only in these sources sufficient exploitable infonnation is available. The comparison of the contributions is based on the developed hierarchy of types.

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