International Journal of Computing Science and Mathematics (7 papers in press)

Regular Issues

• The Study of the Adaptive Combination Optimisation Problem of the Handling Unit  
  by Zhang Mingyuan, Meng Wenjun, Sun Zhengyu, Zhao Xiaoxia, Sun Xiaoxia 
  Abstract: This study proposes an adaptive configuration search method to address inefficient formation selection and slow computation in multi-unit collaborative handling of special-shaped workpieces. The method introduces two evaluation metrics (fitness degree and remaining effective space) and two constraint strategies: an overstepping boundary constraint for extended placement possibilities, and a combination constraint for stability. Finally, these strategies are embedded into the genetic algorithm to propose a hybrid heuristic algorithm based on effective area. Validation on a dedicated dataset of special shaped workpieces demonstrates significant improvements the overstepping boundary constraint strategy reduces the total handling unit requirement by 23.94%, while the fitness degree and remaining effective space metrics achieve a 22.86% reduction in total unit demand while simultaneously significantly improving remaining space quality.
  Keywords: Intelligent logistics; Handling unit; Irregular workpiece; Combinatorial optimisation; Effective area.
  DOI: 10.1504/IJCSM.2025.10071601
   
  
• A Constrained Multi-Objective Optimisation with Weak-Side Complementary and Dynamically Guided  
  by Ziqiong Liu, Sanfeng Chen, Xiang Du, Wei Li, Hui Wang 
  Abstract: This paper proposes the SE-YOLOv5s network model for road tunnel detection, focusing on structural disease detection using a multi-sensor fusion approach. The model fuses multivariate heterogeneous data from multiline LIDAR and monocular cameras. Three key improvements are made to the YOLOv5 network: 1) the SE attention module is integrated into the YOLOv5s backbone to enhance feature extraction while reducing computational cost; 2) the DC-BiFPN feature fusion network replaces the PANet to improve small target detection; and 3) the EIoU loss function is used instead of CIoU to improve detection performance. Experimental results show that the improved SE-YOLOv5s outperforms YOLOv5s, YOLOv3, and YOLOv4, with Map@0.5 increases of 8.1%, 15.1%, and 10.1%, respectively. The results demonstrate the higher accuracy of the SE-YOLOv5s in detecting structural diseases in road tunnels.
  Keywords: Constrained multi-objective; Co-evolution; Evolutionary algorithms; weak-side complementary.
  DOI: 10.1504/IJCSM.2025.10071603
   
  
• A Road Tunnel Detection Method based on SE- YOLOv5 Network  
  by Yu Bai, Jichao Wang, Xuewei Zhang, Chaojie Zhang, Huiyuan Liu, Kongyun Chen, Jian Wang 
  Abstract: At the current stage, many complex optimisation problems can be transformed into constrained multi-objective optimisation problems (CMOPs). Constrained multi-objective evolutionary algorithms (CMOEAs) have become an efficient way of resolving constrained multi-objective problems. However, CMOPs will face huge challenges such as complexity of constraints, difficulty in exploring, and serious conflicts between objective functions and constraints. This paper proposes an efficient weak-side complementary and dynamically guided CMOEA named WDCMO. WDCMO has two populations: the main population and the auxiliary population. Its evolutionary process is divided into two stages: in the first stage, the WDCMO main and auxiliary populations focus on the exploration of two different regions; in the second stage, the WDCMO auxiliary population uses the information about the value of the objective function to guide the main populations evolution. Finally, WDCMO was tested against three other algorithms on a test suite. The experimental results show that the test values of WDCMO are clearly better than the other comparison algorithms on the majority of test problems. Specifically, WDCMO achieved 9 HV indicator leads and 12 IGD indicator leads on 14 constrained multi-objective problems.
  Keywords: Structural Disease Detection of Highway Tunnels; YOLOv5; Object Detection; Squeeze-and-Excitation Attention Mechanism.
  DOI: 10.1504/IJCSM.2025.10071604
   
  
• Research on Cross-border E-commerce Inventory Strategy based on Multi-Channel Competition Model  
  by Feng Ding, Bingda Zhang, Zixia Chen 
  Abstract: As the global cross-border e-commerce (CBEC) market continues to expand, effective inventory management becomes crucial for e-tailers to address challenges such as long transportation times and high logistics costs. This paper establishes a multi-channel supply chain system consisting of overseas supplier, CBEC retailer and domestic consumers, which utilises both direct channel and bonded channel. After analysing the optimal solutions under decentralised and centralised strategies, as well as the impact of market demand uncertainty on inventory and profits, the following conclusions were revealed. Increased demand uncertainty compels both retailers and suppliers to raise inventory levels to prevent stockouts, ultimately impacting profitability. The centralised strategy demonstrates superior resource allocation, resulting in lower overall inventory and reduced vulnerability to market fluctuations. By emphasising the necessity for suppliers and retailers to collaborate on inventory management and recommends the establishment of contracts that share profits and risks to alleviate price competition in multi-channel contexts.
  Keywords: Cross-border E-commerce; Multi-channel; Inventory Strategy; Bonded Warehouse; Overseas Warehouse.
  DOI: 10.1504/IJCSM.2025.10072010
   
  
• Campus Public Opinion Analysis based on LSTM Neural Network  
  by Yuanfen Tu, Bin Yang 
  Abstract: In the past decades, public opinion in campus has shown a high incidence trend. Various new media accelerates the diffusion of public opinion. It poses a major challenge to the management of universities. In this paper, a campus public opinion (CPO) analysis model on the basis of long short-term memory (LSTM) is proposed. The new approach, called CPOLSTM, is composed of five operations: data collection, data pre-processing, training and testing, prediction, and decision making. To verify the performance of CPOLSTM, it is compared with two other approaches. Simulation results demonstrate the proposed CPOLSTM can effectively identify the development trend of CPO.
  Keywords: Campus public opinion; LSTM; neural network; machine learning; prediction model.
  DOI: 10.1504/IJCSM.2025.10072027
   
  
• Discretisation of Fractional Calculus Operator Based on Polynomial Solution  
  by Wenyao Xiong 
  Abstract: In order to solve the problem of poor performance of traditional calculus operator discretisation methods in discretising multivariate continuous attributes, this study uses polynomial solution to investigate a new discretisation method for fractional calculus operators. Combining approximate algorithms to set up approximate methods for fractional calculus operators, the discretisation of fractional calculus operators is achieved by discretising the continuous properties of single and multiple variables. The results show that when (x, k) takes values of (9/10, 9/10), the method proposed in this study obtained an exact solution of 0.853815, while the exact solutions of other methods were only 0.488736 and 0.357617. This method can obtain exact solutions of calculus operators of several orders, and the discretisation process has stronger approximation performance, which has important practical significance for numerical calculations and theoretical research in related fields.
  Keywords: Polynomial solution; Fractional differential equation; Calculus operator; Discretization; Approximation performance; Multivariate.
  DOI: 10.1504/IJCSM.2025.10072029
   
  
• Research on the Motion Trajectory of Wheel Differential Robot based on Kalman Filter  
  by Yunfei Huang, Yubin Zhang, Qiaoling Lu, Jianhui Deng, Zhengyang Xiao, Junxi Liang, Ke Wende 
  Abstract: the wheeled differential robot is widely used in the field of robotics for it adopts four-wheel driven differential steering, turns in place with strong power, is good in climbing, sudden starting, and accelerations. In robot motion trajectory planning, due to the problems of noise and sensor data uncertainty, it is difficult to accurately achieve the target position based on the preset motion speed and position. To address this issue, the motion model of the differential vehicle robot was analyzed as well as the relationship of position and velocity, the two-level control architecture and PID (proportional, integral, derivative) were analyzed. Through the encoder, the current velocity and position were obtained. Finally, the Kalman filtering was used to achieve the accurate trajectory of the robot. The effectiveness of the method was verified through simulating experiments.
  Keywords: wheeled differential robot; optimization; noise; trajectory.
  DOI: 10.1504/IJCSM.2025.10072255