## 4 Experimental Evaluation and Performance Analysis  
### Experiment Scenario  
A cloud manufacturing platform can provide big data intelligent cloud services to help users achieve accurate and intelligent operations and maintenance services. Assuming that the cloud manufacturing platform receives a batch of intelligent vehicle maintenance service requests, it then needs to configure maintenance solutions for the equipment maintenance tasks. The cloud manufacturing platform has a number of equipment maintenance teams that can undertake the maintenance and support tasks for the intelligent vehicles. Different maintenance teams have different maintenance capabilities. By analyzing the equipment, this batch of equipment is divided into four types of maintenance tasks. The first equipment maintenance task is disassembly, including equipment decomposition, equipment assembly, and equipment matching. The second equipment maintenance task is equipment detection, including fault detection and machine debugging. The third equipment maintenance task is equipment maintenance, including sub-professional maintenance, subpart maintenance, component testing, and joint testing. The fourth equipment maintenance task is an equipment quality inspection, including a maintenance acceptance inspection. Maintenance resources of three groups, two groups, four groups, and one group are used, respectively, to provide these maintenance services. By matching the maintenance task with the maintenance group, 15 maintenance groups were found to be able to carry out the maintenance work, and the cloud manufacturing platform recorded the time, cost, and price indicators for each maintenance group. The cloud manufacturing platform provides users with the relationship between the equipment maintenance time and price based on historical maintenance data, allowing the users to develop reasonable maintenance time and price expectations. The cloud manufacturing platform allocates equipment maintenance resources according to the above data. In this programming problem, the role vector is \(L=\) [3,2,4,1], \(m\) is 15 (i.e., numbered 1-15), and \(n\) is 4. The basic data, including \(t_{ij},c_{ij},\rho_{ij}\) (\(1\leq i\leq 15,1\leq j\leq 4\)), are provided by the cloud manufacturing platform. The initial values for the maintenance time, maintenance cost, and price adjustment coefficients were set as follows:  
\[QT\ =\ \left[ \begin{array}{cccc}2&2&3&4\\ 4&5&7&7\\ 9&7&10&1\\ 7&8&6&9\\ 1&7&9&8\\ 2&3&4&6\\ 7&7&9&9\\ 8&5&6&7\\ 7&6&8&9\\ 7&6&9&8\\ 6&6&9&9\\ 2&3&5&7\\ 1&2&4&5\\ 3&4&5&7\\ 2&6&7&9\\ \end{array} \right],QP\ =\ \left[ \begin{array}{cccc}5&4&3&6\\ 7&5&7&9\\ 6&7&10&4\\ 8&8&6&9\\ 1&3&9&9\\ 4&3&6&6\\ 7&6&9&9\\ 1&5&9&7\\ 7&4&8&9\\ 2&6&9&8\\ 6&6&9&9\\ 4&3&6&8\\ 5&2&4&5\\ 3&4&5&9\\ 3&8&5&6\\ \end{array} \right],P\ =\ \left[ \begin{array}{cccc}1&3&3&8\\ 3&5&7&7\\ 6&5&10&4\\ 7&8&6&4\\ 1&6&9&6\\ 4&3&6&8\\ 7&6&9&9\\ 9&5&9&7\\ 5&5&8&7\\ 4&6&9&8\\ 6&9&9&9\\ 4&3&6&5\\ 5&4&4&5\\ 3&4&5&9\\ 2&1&5&6\\ \end{array} \right].\]  
According to Equations (1), (5), and (6), the maintenance time, maintenance cost, and maintenance price evaluation matrices were calculated as follows:\[Q_{t}=\left[ \begin{array}{cccccc}0.4375&1.0000&1.0000&0.1563\\ 0.1563&0.2000&0.1837&0.0357\\ 0&0.0476&0&1.0000\\ 0.0357&0&0.2857&0\\ 1.0000&0.0476&0.0476&0.0156\\ 0.4375&0.5556&0.6429&0.0625\\ 0.0357&0.0476&0.0476&0\\ 0.0156&0.2000&0.2857&0.0357\\ 0.0357&0.1111&0.017&0\\ 0.0357&0.1111&0.0476&0.0156\\ 0.0625&0.1111&0.0476&0\\ 0.4357&0.5556&0.4286&0.0357\\ 1.0000&1.0000&6.429&0.1000\\ 0.2500&0.3333&0.4286&0.0357\\ 0.4375&0.1111&0.1837&0\\ \end{array} \right],Q_{c}=\left[ \begin{array}{cccccc}0.0857&0.3333&1.0000&0. 4000\\ 0.0204&0.2000&0.1837&0\\ 0.0476&0.0476&0&1.0000\\ 0.0076&0.2857&0\\ 1.0000&0.5566&0.0476&0\\ 0.1429&0.5556&0.2857&0.4000\\ 0.0204&0.1111&0.0476&0\\ 0.0286&0.0476&0.2286\\ 0.0204&0.3333&0.1071&0\\ 0.4286&0.1111&0.0476&0.1000\\ 0.0392&0&0.0476&0\\ 0.1429&0.5556&0.2857&0.1000\\ 0.0857&1.0000&6.429&0.6400\\ 0.2381&0.3333&0.4286&0\\ 0.3754&1.0000&0.4286&0.4000\\ \end{array}