Cutting stock with no three parts per pattern: Work-in-process and pattern minimization
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...
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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...
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Selection of feasible cutting patterns in order to minimize the raw material wastage which is known as cutting stock problem has become a key factor of the success in today’s competitive manufacturing industries. In this paper, solving a rectangular shape medium size two-dimensional cutting stock problem is discussed. Our study is restricted to raw materials (main sheets) in a rectangular shape...
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One of the factors that add to the complexity of the cutting stock problem is the large number of the cutting patterns that may be encountered. When the cutting stock problem is expressed as an integer-programming problem, the large number of cutting patterns involved generally makes computation infeasible. However, if the linear programming formulation of the cutting stock problem is free of i...
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A heuristic particle swarm optimization (HPSO) is proposed as a solution to one-dimensional cutting stock problem (1D-CSP), which incorporate genetic operators into particle swarm optimization (PSO). In this paper, a heuristic strategy that is based on the results of analysis of the optimal cutting pattern of particles with successful search processes is described, which process a global optimi...
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ژورنال
عنوان ژورنال: Discrete Optimization
سال: 2011
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2010.10.002