One-dimensional stock cutting: optimization of usable leftovers in consecutive orders

Luka Tomat () and Mirko Gradišar ()
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Luka Tomat: University of Ljubljana
Mirko Gradišar: University of Ljubljana

Central European Journal of Operations Research, 2017, vol. 25, issue 2, No 10, 473-489

Abstract: Abstract This paper deals with usable leftovers (UL) in one-dimensional stock cutting in consecutive orders. UL are leftovers longer than a certain threshold and are returned to stock in order to be used in future orders. Shorter leftovers are treated as trim-loss. If UL are being used at a slower pace, than they are being generated for a longer period of time, excessive growth of UL in stock can appear. This is not acceptable due to higher costs of manipulations and warehousing. However, a certain amount of UL in stock is desirable because it contributes to greater variety of stock lengths, which in general results in lower trim-loss. The method solves the problem of how to calculate the near optimal amount of UL in stock and how to control the stock. The proposed method is tested by using a computer simulation in which UL from previous orders are used in the next ones instead of being randomly generated. The computational results indicate that trim-loss in consecutive orders is reduced, and excessive growth of UL in stock is prevented.

Keywords: Cutting stock problem; Usable leftovers; Trim-loss; Optimization; Simulation (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (8)

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DOI: 10.1007/s10100-017-0466-y

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