The state of health(SOH) and remaining useful life(RUL) of a battery are key indicators for measuring battery performance degradation and remaining useful time. Predicting battery SOH and RUL is of great importance in practical applications. Usually, battery operation data is used to train machine learning algorithms, such as neural networks or deep learning, to capture the changing patterns of battery SOH and RUL and make predictions. Traditional machine learning models often use a single model to adapt to the entire dataset, which is inadequate when dealing with complex and highly heterogeneous data. Building a model for each prediction target incurs high training and maintenance costs. Sparse mixture of experts (SMoE) was used to construct a joint prediction model for battery SOH and RUL, and battery fusion data was used to simultaneously predict battery SOH and RUL. The results of testing on NASA’s public dataset show that the proposed joint prediction model can effectively predict battery SOH and RUL, with a mean square error of 0.069 for SOH prediction and 2.042 for RUL prediction. Tested on the EIS public dataset, the mean square error of the SOH prediction value of the joint prediction model was 0.118, and the mean square error of the RUL prediction value was 3.072, indicating a significant improvement in accuracy. The models and methods proposed in the text have certain reference and application value.

The impact of enterprise digital transformation on total factor productivity and its mechanism were empirically tested based on the sample of Shanghai and Shenzhen A-share manufacturing listed companies from 2011 to 2022.It is found that the digital transformation of enterprises can transform data into production factors, optimize production processes, improve the efficiency of resource allocation, and improve total factor productivity.The mechanism analysis shows that digital transformation can enhance innovation efficiency, promote enterprises to accelerate process change and business model innovation, and further improve total factor productivity. Heterogeneity analysis shows that the promotion effect of enterprise digital transformation on total factor productivity varies with the nature of property rights, the nature of high-tech enterprises and the degree of regional marketization. It is suggested that the government should strengthen investment in digital infrastructure and improve innovation policies, and enterprises should actively embrace digital transformation, strengthen data governance and improve the efficiency of resource allocation.

Based on China’s provincial panel data from 2007 to 2020, the entropy method, coupling coordination model and spatial econometric model were used to explore the coupling coordination level and influencing factors of social assistance common prosperity. The research results show that at the overall level, social assistance has promoted the overall development level of common prosperity, and the number students in higher education and the elderly population support ratio have a positive spatial spillover effect on the coupling coordination degree of social assistance and common prosperity. At the level, the coupling coordination of the three regions is specifically manifested as the central region>the eastern region>the western region, with regional differences.

In the process of large-diameter slurry shield tunneling, encountering boulder groups in front of the cutter head often occurs, which significantly impact tunneling efficiency and construction safety. To achieve rapid and efficient handling of boulder groups closely adjacent to the slurry shield cutter head, reduce the frequency of pressure-compromised opening for tool replacement, and ensure safe and smooth passage through boulder areas, the Fuzhou Metro Binhai Line project’s Binhai Zhong section was taken as a case study. Through in-depth analysis of key aspects such as tunneling anomalies, tool inspections, tool replacements, ground re-examinations, and handling of boulders adjacent to the cutter head, innovative techniques and processes such as the “rock crushing and downward pressure method” and the “rock pushing and filling method” have been proposed. These effectively address the challenges posed by boulder groups encountered during large-diameter slurry shield tunneling, significantly shortening the construction period for passing through boulder areas and providing a systematic solution and reference for similar projects.

The safe operation of the airport is the cornerstone of civil aviation safety. An airport operation risk assessment system was constructed to assess the safety risks of airport operation. It also identifies and eliminates the risk factors and safety hazards in advance. Firstly, using the theory of man-machine-environment-management, the airport operation safety evaluation system was established. Then, using the analytic hierarchy process and the entropy method, the data obtained from the two methods was analyzed and compared, and the weighted comprehensive calculation was carried out to obtain the comprehensive weight of each indicator. Finally, the risk assessment method established in the paper was used to conduct a risk assessment test of the operation of Yuncheng Yanhu Airport. The test results show that the research method in this paper is feasible and effective.

Overriding sand bodies of Jurassic Shaximiao Formation in Tianfu gas field are developed vertically, and the formation pressure of gas-producing layer varies greatly from shallow to deep. There are distributions of pressure coefficients from ultra-low pressure, low pressure to normal pressure. Due to the multiple influences of storage, gas-bearing property and formation pressure, the error of gas reservoir productivity prediction is always great. For this problem, taking the tight gas of Tianfu gas field as an example, gas reservoir production levels were divided according to the main factors of productivity firstly, and the equivalent cylinder model of gas reservoir under different production levels was established. According to the characteristics of gas reservoir, Redlich-Kwong equation of state was selected to deduce and calculate the total mass of methane in equivalent cylinder under formation conditions. Then, according to the total mass, a gas production prediction model was established to realize the productivity prediction of gas reservoir of multi-pressure system. And the following research results were obtained.The equivalent cylinder model of gas reservoir integrates the main factors of productivity in the study area, and a semi-theoretical and semi-empirical productivity prediction model is constructed through theoretical derivation and statistical analysis, which is more meaningful than mathematical statistics. Based on Redlich-Kwong equation of state, the model fully refers to the formation conditions and fluid characteristics in the study area, which is helpful to improve the prediction accuracy. Using actual data, compared with multiple regression method to predict gas production, the productivity prediction method based on equivalent cylinder model has smaller error.

New quality productivity relies on technological innovation to achieve efficient production through strategic emerging industries, and research and development investment is the key to its formation. By constructing a computable general equilibrium model to explore the inherent logic of the impact of R&D investment on the development of new quality productivity at the theoretical level, data from listed companies from 2000 to 2019 was used for empirical analysis. The results show that R&D investment significantly improves the overall factor productivity of high-tech industries. The degree of economic marketization plays a regulatory role in this process, with the central region being most significantly affected, followed by the eastern region, and the western region having the least impact. In addition, the government market relationship in the eastern region plays an important role in regulating the impact of high-tech enterprise R&D investment on total factor productivity. The study reveals the differential impact of R&D investment on total factor productivity in different regions, and suggests continuously increasing R&D capital for strategic emerging industries and implementing differentiated policies according to local conditions to promote economic development.

The reform of payment method by diagnosis-intervention packet(DIP) is an important part of deepening the reform of medical insurance payment method, and it is an original payment method in line with China’s national conditions. Taking Rice-Horn model as the framework, on the basis of the literature analysis, the payment dilemma was studied from six dimensions, including the policy objectives and standards, policy resources, communication between organizations and coercive behavior, the characteristics of the executive, political economic and social environment and the preference. Some suggestions are put forward from four aspects, including the perfect laws and regulations, improving the executive attention, improving executive execution ability, and optimizing the execution environment.

In recent years, continuous support from the central government has been provided, resulting in remarkable progress being achieved in digital infrastructure construction in ethnic regions. Based on the panel data from eight ethnic regions spanning from 2013 to 2022, a two-way fixed effect regression method was used to analyze the impact of digital infrastructure on rural industrial integration and to explore its mechanism. The empirical results now show that digital infrastructure has a significant positive impact on rural industrial integration. Agricultural loans, as an important part of financial services, are found to play a partial mediating role in this process. Therefore, it is necessary to strengthen the construction of digital infrastructure in ethnic regions and actively promote the development of rural digital inclusive finance.

Under the background of rural revitalization strategy, the rural tourism resources in Shangxia County were investigated. Taking tourist satisfaction as the characteristic value, the methods of literature analysis, questionnaire survey, field interview and regression analysis were used to measure tourism development. The findings indicate that Shangyou County’s natural ecology and Hakka cultural heritage lay a solid foundation for rural tourism, but there are some shortcomings in supporting facilities, transportation accessibility, cultural development and service quality. Solutions are proposed, including improving infrastructure, optimizing transportation, leveraging cultural features, hastening the integration of culture and tourism, and establishing region-specific brands, in order to promote the sustainable development of rural tourism.