# A Facility Layout Algorithm for Logistics Scenarios Driven by Transport Lines
## 5 Conclusions  
Based on the existence of transport lines in logistics workshops, this paper proposes a transport line-driven logistics facility layout algorithm. The innovative approach is to incorporate the force-directed into the layout of facilities and transport lines, separating the layout of transport lines from the arrangement of facilities and adjusting the positions of facilities through elastic forces. Compared to non-transport line-driven algorithms, this approach can effectively reduce operational costs and improve algorithmic time efficiency.  
We designed an algorithmic framework for transport line-driven logistics facility layout. The framework utilizes the MOSA algorithm as an optimization method, which optimizes the objective function values for a feasible solution. In addition, the framework utilizes the local search mechanism of the force-directed algorithm to corrects the layout positions of facilities by attractive and repulsive effects, and obtains a better layout solution. The experiments show that the MOSA-FD algorithm has time performance and cost ad  
Figure 14: Layout plots of each algorithm at instance 2. (**a**) NSGA II-FD; (**b**) MOPSO-FD; (**c**) MOSA-FD; (**d**) MIP-FD; (**e**) NSGA II; (**f**) MOPSO; (**g**) MOSA; and (**h**) MIP.  
Figure 15: MOSA-FD simulation results for each instance. (**a**) Instance 1; (**b**) instance 2; and (**c**) instance 3.  
vantages over the population-based optimization algorithms (MOPSO-FD, NSGA2-FD). In some instances, the method is able to reduce the objective cost by 36% and 80%, respectively, and the runtime by 47% compared to the MOSA algorithm.  
By treating each facility and transport line in the workshop as a node and spring in a spring system, respectively, and pulling the facilities into the reasonable area of the workshop according to the force in the system to adjust the current solution of the facility layout, the local search of each logistics facility in the reasonable layout area of the workshop is realized. According to the experimental metrics and simulation results, it can be concluded that the solution adjusted by the force-directed algorithm avoids multiple constraint adjustments and provides more contiguous activity space for the workshop staff in the logistics workshop.  
The MOSA-FD algorithm is designed to work with fixed transport line information, but in reality, material handling lines may change. Therefore, the next step in research would be to consider introducing fuzzy intelligence technology [43; 44; 45] to help optimize the layout of facilities.  
Conceptualization, F.J.; methodology, F.J. and L.L.; validation, F.J. and H.Z.; formal analysis, F.J., L.L. and X.L.; investigation, F.J.; resources, L.L., X.L. and Y.T.; data curation, F.J.; writing--original draft preparation, F.J.; writing--review and editing, F.J., L.L. and Y.T.; visualization, F.J.; supervision, L.L. and Y.T.; and funding acquisition, X.L. All authors have read and agreed to the published version of the manuscript.  
This research was funded by the National Natural Science Foundation of China grant number 62277014 and the Key Research and Development Project in Anhui Province of China grant number 2022f04020006.  
The authors declare no conflict of interest.