Pattern minimisation in cutting stock problems
نویسندگان
چکیده
منابع مشابه
Pattern Minimisation in Cutting Stock Problems
In the cutting stock pattern minimisation problem, we wish to satisfy demand for various customer reels by cutting as few as possible jumbo reels, and further to minimise the number of distinct cutting patterns used. We focus on the special case in which any two customer reels t into a jumbo, but no three do: this case is of interest partly because it is the simplest case that is not trivial, a...
متن کاملFast pattern-based algorithms for cutting stock
The conventional assignment-based first/best fit decreasing algorithms (FFD/BFD) are not polynomial in the cutting stock input size in its most common format. Therefore, even for small instances with large demands, it is difficult to compute FFD/BFD solutions. We present pattern-based methods that overcome the main problems of conventional heuristics in cutting stock problems by representing th...
متن کاملAn Algorithm for Two Dimensional Cutting Stock Problems with Demand
In this paper, two-dimensional cutting stock problem with demand has been studied.In this problem, cutting of large rectangular sheets into specific small pieces should be carried out hence, the waste will be minimized. Solving this problem is important to decrease waste materials in any industry that requires cutting of sheets. In most previus studies, the demand of pieces has not been usually...
متن کاملAn Algorithm for Two Dimensional Cutting Stock Problems with Demand
In this paper, two-dimensional cutting stock problem with demand has been studied.In this problem, cutting of large rectangular sheets into specific small pieces should be carried out hence, the waste will be minimized. Solving this problem is important to decrease waste materials in any industry that requires cutting of sheets. In most previus studies, the demand of pieces has not been usually...
متن کاملCutting stock problems and solution procedures
This paper discusses some of the basic formulation issues and solution procedures for solving oneand twodimensional cutting stock problems. Linear programming, sequential heuristic and hybrid solution procedures are described. For two-dimensional cutting stock problems with rectangular shapes, we also propose an approach for solving large problems with limits on the number of times an ordered s...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1999
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(99)00112-2