Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2025, Vol. 42 ›› Issue (3): 529-553.doi: 10.3969/j.issn.1005-3085.2025.03.009

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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.

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

CLC Number: