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中国工业与应用数学学会会刊
主管:中华人民共和国教育部
主办:西安交通大学
ISSN 1005-3085  CN 61-1269/O1

工程数学学报 ›› 2025, Vol. 42 ›› Issue (3): 529-553.doi: 10.3969/j.issn.1005-3085.2025.03.009doi: 32411.14.1005-3085.2025.03.009

• • 上一篇    下一篇

随机存储下Leaf型仓储布局设计及其拣选路径策略研究

柳虎威1,   周  丽1,   赵俊辉2,   王  繁3,   杨江龙3   

  1. 1. 北京经理学院临空经济管理学院,北京  100102
    2. 北京理工大学管理学院,北京 100081
    3. 北京物资学院信息学院,北京 101149
  • 收稿日期:2022-08-28 接受日期:2023-04-27 出版日期:2025-06-15 发布日期:2025-06-15
  • 基金资助:
    国家社会科学基金 (24FGLB047);北京经理学院2024年度一般课题 (24YBA01);北京经理学院2024年度博士资助课题 (24BSA04);北京经理学院科技英才支持计划资助项目.

Stochastic Models of Routing Strategies under the Random Storage Policy in Leaf Layout Warehouses

LIU Huwei1,   ZHOU Li1,   ZHAO Junhui2,   WANG Fan3,   YANG Jianglong3   

  1. 1. School of Airport Economy Management, Beijing Institute of Economics and Management, Beijing 100102
    2. School of Management, Beijing Institute of Technology, Beijing 100081
    3. School of Information, Beijing Wuzi University, Beijing 101149
  • Received:2022-08-28 Accepted:2023-04-27 Online:2025-06-15 Published:2025-06-15
  • Supported by:
    The National Social Science Fund of China (24FGLB047);  the 2024 General Fund of Beijing Institute of Economics and Management (24YBA01); the 2024 Doctoral Fund of Beijing Institute of Economics and Management (24BSA04); the Science and Technology Talent Support Program of Beijing Institute of Economics and Management.

摘要:

仓库布局设计是影响拣选作业行走路径和拣选效率的重要因素。在鱼骨布局和flying-V型布局的基础上,以货架摆放角度及斜向主通道角度为出发点,对Leaf型仓储布局进行研究,构建Leaf型仓储布局的有效存储面积利用率模型,探究货架摆放角度及斜向主通道角度对有效存储面积的影响。进而构建Leaf型仓储布局中的S型和返回型拣选路径随机模型,并完成对其的近似计算与仿真验证。数值实验结果表明,在Leaf型仓储布局中,布局的改进对实际存储面积的影响较小,与鱼骨布局和flying-V型布局相差分别为1.6\%与2.7\%,可进一步对Leaf型仓储布局拣选行走路径进行研究,在特定货架摆放角度及斜向主通道角度下,返回型路径与S型路径均能取得最优值,且S型路径结果优于返回型路径。

关键词: Leaf型仓储布局, 拣选路径, 改进型布局, 随机存储

Abstract:

Warehouse layout design is an important factor affecting the walking distance of picking operations and picking efficiency. On the basis of the fishbone layout and the flying-V layout, this paper takes the shelf placement angle and the angle of the diagonal cross-aisle as the starting points to study the leaf layout, constructs the effective storage area utilization model of the leaf warehouse layout, and investigates the influence of the shelf placement angle and the angle of the diagonal cross-aisle on the effective storage area. Then, we construct the stochastic model of S-shape and return routing strategies in leaf layout and complete the approximate calculation and simulation to verify it. The numerical experimental results show that in the leaf layout, the improvement of the layout has a small impact on the actual storage area, with a difference of 1.6\% and 2.7\% with the fishbone layout and flying-V layout, respectively, and the routing strategy of the leaf layout can be further studied. For specific angles of the shelf and the diagonal cross-aisle, both the return strategy and the S-shape strategy can achieve better values. The S-shape strategy is superior to the return strategy.

Key words: Leaf layout, routing strategy, non-traditional layout, random storage

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