Bi-Objective optimisation for synchronising replenishment and storage assignment: achieving energy efficiency and blocking avoidance in forward-reserve warehousing.

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Title: Bi-Objective optimisation for synchronising replenishment and storage assignment: achieving energy efficiency and blocking avoidance in forward-reserve warehousing.
Authors: Wang, Lin1 (AUTHOR), Zhang, Ning1 (AUTHOR), Wang, Sirui2 (AUTHOR), Wang, Xuerui1 (AUTHOR), Yuan, Zhe3 (AUTHOR) zhe.yuan@devinci.fr
Source: International Journal of Production Research. Jun2026, Vol. 64 Issue 11, p4635-4668. 34p.
Subjects: Energy consumption, Automated storage retrieval systems, Inventories, Inventory control, Warehouses, Long short-term memory, Multi-objective optimization
Abstract: The forward-reserve warehouse is an integrated robotic storage and picking system, which combines a reserve area equipped with an automatic storage/retrieval system and a forward area supported by a robotic mobile fulfilment system. Blocking in FRWs leads to energy dissipation and inefficiency, strongly affected by storage assignment and replenishment timeliness. However, existing research rarely focuses on systematically quantifying the benefits of replenishment and storage assignment synchronous optimisation with blocking avoidance. To address this gap, we formulate a new bi-objective model to improve both energy efficiency and timeliness, explicitly developing two tailored mathematical evaluation models for energy consumption and blocking. We design a novel ENSGA-II algorithm and integrate it with an LSTM network to solve the problem. Experimental results show that the ENSGA-II achieves superior distribution and faster convergence, as measured by HV/GD/IGD across all scales. We also conduct a comprehensive sensitivity analysis and discuss the results in detail. The findings reveal that a medium number of picking stations ensures the best balance between energy efficiency and timeliness objectives. The FRW achieves optimal performance when the station ratio between the forward and reserve areas remains in a medium range (e.g., 4/20 to 12/8). Additionally, SKU-type diversity in the forward area significantly affects system costs. Both low and high diversity reduce costs, while medium diversity (e.g., 0.5) results in the least benefits. In particular, small-scale warehouses benefit more from higher SKU-type diversity. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Bi-Objective optimisation for synchronising replenishment and storage assignment: achieving energy efficiency and blocking avoidance in forward-reserve warehousing.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Lin%22">Wang, Lin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Ning%22">Zhang, Ning</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Sirui%22">Wang, Sirui</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Xuerui%22">Wang, Xuerui</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yuan%2C+Zhe%22">Yuan, Zhe</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> zhe.yuan@devinci.fr</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Production+Research%22">International Journal of Production Research</searchLink>. Jun2026, Vol. 64 Issue 11, p4635-4668. 34p.
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  Data: <searchLink fieldCode="DE" term="%22Energy+consumption%22">Energy consumption</searchLink><br /><searchLink fieldCode="DE" term="%22Automated+storage+retrieval+systems%22">Automated storage retrieval systems</searchLink><br /><searchLink fieldCode="DE" term="%22Inventories%22">Inventories</searchLink><br /><searchLink fieldCode="DE" term="%22Inventory+control%22">Inventory control</searchLink><br /><searchLink fieldCode="DE" term="%22Warehouses%22">Warehouses</searchLink><br /><searchLink fieldCode="DE" term="%22Long+short-term+memory%22">Long short-term memory</searchLink><br /><searchLink fieldCode="DE" term="%22Multi-objective+optimization%22">Multi-objective optimization</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The forward-reserve warehouse is an integrated robotic storage and picking system, which combines a reserve area equipped with an automatic storage/retrieval system and a forward area supported by a robotic mobile fulfilment system. Blocking in FRWs leads to energy dissipation and inefficiency, strongly affected by storage assignment and replenishment timeliness. However, existing research rarely focuses on systematically quantifying the benefits of replenishment and storage assignment synchronous optimisation with blocking avoidance. To address this gap, we formulate a new bi-objective model to improve both energy efficiency and timeliness, explicitly developing two tailored mathematical evaluation models for energy consumption and blocking. We design a novel ENSGA-II algorithm and integrate it with an LSTM network to solve the problem. Experimental results show that the ENSGA-II achieves superior distribution and faster convergence, as measured by HV/GD/IGD across all scales. We also conduct a comprehensive sensitivity analysis and discuss the results in detail. The findings reveal that a medium number of picking stations ensures the best balance between energy efficiency and timeliness objectives. The FRW achieves optimal performance when the station ratio between the forward and reserve areas remains in a medium range (e.g., 4/20 to 12/8). Additionally, SKU-type diversity in the forward area significantly affects system costs. Both low and high diversity reduce costs, while medium diversity (e.g., 0.5) results in the least benefits. In particular, small-scale warehouses benefit more from higher SKU-type diversity. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1080/00207543.2026.2618574
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 34
        StartPage: 4635
    Subjects:
      – SubjectFull: Energy consumption
        Type: general
      – SubjectFull: Automated storage retrieval systems
        Type: general
      – SubjectFull: Inventories
        Type: general
      – SubjectFull: Inventory control
        Type: general
      – SubjectFull: Warehouses
        Type: general
      – SubjectFull: Long short-term memory
        Type: general
      – SubjectFull: Multi-objective optimization
        Type: general
    Titles:
      – TitleFull: Bi-Objective optimisation for synchronising replenishment and storage assignment: achieving energy efficiency and blocking avoidance in forward-reserve warehousing.
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            NameFull: Wang, Lin
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            NameFull: Zhang, Ning
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            NameFull: Wang, Sirui
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            NameFull: Wang, Xuerui
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            NameFull: Yuan, Zhe
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            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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            – TitleFull: International Journal of Production Research
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