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矩形条带装箱问题(RSPP)是指将一组矩形装入在一个宽度固定高度不限的矩形容器中,以期
获得最小装箱高度.RSPP理论上属于NP难问题,在新闻组版、布料下料以及金属切割等工业领域中
有着广泛的应用.为解决该问题,采用了一种混合算法,即将一种新的启发式算法—— 动态匹配算
法—— 与遗传算法结合起来.混合算法中,动态匹配算法能根据4类启发式规则动态选择与装填区域相
匹配的下一个待装矩形,同时将装箱后所需容器高度用遗传算法的进化策略进行优化.对2组标准测试
问题的计算结果表明,相对于文献中的已有算法,提出的算法更加有效.-Given a set of small rectangular pieces of different sizes and a rectangular container of fixed
width and infinite length,the rectangular strip packing problem (RSPP) consists of orthogonally
placing all the pieces within the container,without overlapping,such that the overall length of the
packing is minimized. RSPP belongs to NP—hard problem in theory and has many industrial
applications such as the composition of news,the cutting of elothing and the cutting of metal,etc.To
solve the rectangular strip packing problem ,a hybrid algorithm ,which combines a novel heuristic
algorithm- dynamic—fit heuristic algorithm (DFHA),with the genetic algorithm,is adopted. The
DFHA algorithm can dynamically select the better-fit rectangle for packing,according to the width—fit
first(W FF)rule,the height—fit first(HFF) rule,the placeable first(PF) rule,and the biggest—
rectangle first(BRF)rule,and the evolutionary capability of genetic algorithm is used to optimize the
height of the packing
获得最小装箱高度.RSPP理论上属于NP难问题,在新闻组版、布料下料以及金属切割等工业领域中
有着广泛的应用.为解决该问题,采用了一种混合算法,即将一种新的启发式算法—— 动态匹配算
法—— 与遗传算法结合起来.混合算法中,动态匹配算法能根据4类启发式规则动态选择与装填区域相
匹配的下一个待装矩形,同时将装箱后所需容器高度用遗传算法的进化策略进行优化.对2组标准测试
问题的计算结果表明,相对于文献中的已有算法,提出的算法更加有效.-Given a set of small rectangular pieces of different sizes and a rectangular container of fixed
width and infinite length,the rectangular strip packing problem (RSPP) consists of orthogonally
placing all the pieces within the container,without overlapping,such that the overall length of the
packing is minimized. RSPP belongs to NP—hard problem in theory and has many industrial
applications such as the composition of news,the cutting of elothing and the cutting of metal,etc.To
solve the rectangular strip packing problem ,a hybrid algorithm ,which combines a novel heuristic
algorithm- dynamic—fit heuristic algorithm (DFHA),with the genetic algorithm,is adopted. The
DFHA algorithm can dynamically select the better-fit rectangle for packing,according to the width—fit
first(W FF)rule,the height—fit first(HFF) rule,the placeable first(PF) rule,and the biggest—
rectangle first(BRF)rule,and the evolutionary capability of genetic algorithm is used to optimize the
height of the packing
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求解矩形条带装箱问题的动态匹配启发式算法.PDF
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