智能叉车密集仓储系统料框出库翻箱问题研究
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						       		李子龙,程天健,金波,程文明,曹轶伦,郭鹏
						  	
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				Study on bin relocation problem during outbound operation in intelligent forklift-based dense storage system
			
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						       		Zilong LI,Tianjian CHENG,Bo JIN,Wenming CHENG,Yilun CAO,Peng GUO
						  	
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		| 表 2 中小规模算例下2种算法的求解结果与耗时 | 
	
	
		| Tab.2 Solution results and runtime of two algorithms for medium and small-scale cases | 
	
	
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			| 编号 | 堆料区布局 | 料框数量 | 出库需求 | 阻塞料框数量 | 下界 | 启发式 |  | 分支定界 | topt/s |  | R | ta/s |  | R | ta/s |  | 1 | 3×3×5 | 27 | 15 | 7.7 | 8.0 | 8.6 | 0.000 |  | 8.6 | 0.000 | 0.000 |  | 2 | 3×4×5 | 36 | 15 | 11.5 | 12.0 | 12.2 | 0.000 |  | 12.2 | 0.000 | 0.000 |  | 3 | 3×4×5 | 36 | 20 | 12.8 | 13.7 | 14.8 | 0.000 |  | 14.4 | 0.009 | 0.009 |  | 4 | 3×5×5 | 45 | 20 | 13.5 | 13.6 | 15.7 | 0.001 |  | 15.2 | 4.041 | 4.041 |  | 5 | 3×5×5 | 45 | 30 | 15.2 | 16.6 | 18.1 | 0.001 |  | 17.7 | 2.013 | 2.013 |  | 6 | 3×5×5 | 60 | 30 | 25.6 | 27.8 | 30.8 | 0.001 |  | 29.5 | 45.294 | 15.303 |  | 7 | 3×6×5 | 54 | 30 | 20.8 | 21.5 | 24.3 | 0.001 |  | 23.0 | 62.408 | 2.445 |  | 8 | 3×7×5 | 63 | 30 | 20.1 | 20.5 | 22.2 | 0.001 |  | 21.9 | 63.758 | 3.758 |  | 9 | 3×7×5 | 63 | 40 | 22.5 | 22.9 | 26.1 | 0.001 |  | 24.9 | 104.016 | 14.016 |  | 10 | 4×4×5 | 48 | 20 | 16.5 | 16.8 | 19.4 | 0.001 |  | 18.6 | 83.930 | 34.015 |  | 11 | 4×4×5 | 64 | 20 | 20.2 | 20.5 | 23.8 | 0.000 |  | 23.3 | 61.213 | 2.142 |  | 12 | 4×4×5 | 64 | 30 | 25.4 | 26.1 | 32.5 | 0.001 |  | 31.4 | 162.566 | 15.585 |  | 13 | 4×5×5 | 60 | 20 | 15.0 | 15.1 | 18.4 | 0.000 |  | 17.6 | 86.920 | 27.048 |  | 14 | 4×5×5 | 60 | 40 | 19.6 | 20.4 | 26.4 | 0.000 |  | 24.3 | 157.929 | 24.584 |   
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