Virtually coupled train set control subject to space-time separation:A distributed economic MPC approach with emergency braking configuration

The emerging virtual coupling technology aims to operate multiple train units in a Virtually Coupled Train Set(VCTS)at a minimal but safe distance.To guarantee collision avoidance,the safety distance should be calculated using the state-of-the-art space-time separation principle that separates the Emergency Braking(EB)trajectories of two successive units during the whole EB process.In this case,the minimal safety distance is usually numerically calculated without an analytic formulation.Thus,the constrained VCTS control problem is hard to address with space-time separation,which is still a gap in the existing literature.To solve this problem,we propose a Distributed Economic Model Predictive Control(DEMPC)approach with computation efficiency and theoretical guarantee.Specifically,to alleviate the computation burden,we transform implicit safety constraints into explicitly linear ones,such that the optimal control problem in DEMPC is a quadratic programming problem that can be solved efficiently.For theoretical analysis,sufficient conditions are derived to guarantee the recursive feasibility and stability of DEMPC,employing compatibility constraints,tube techniques and terminal ingredient tuning.Moreover,we extend our approach with globally optimal and distributed online EB configuration methods to shorten the minimal distance among VCTS.Finally,experimental results demonstrate the performance and advantages of the proposed approaches.

Economic Models and Human Behavior:The Tension Between Mathematics and Reality

The use of mathematical models in economics has long been a subject of debate,particularly regarding the tension between mathematical precision and the unpredictability of human behavior.This paper critically examines the limitations of over-relying on mathematical models to predict economic outcomes,arguing that such models often fail to account for the social,cultural,and psychological factors that drive economic activities.The analysis highlights how attempts to quantify complex economic behaviors may lead to oversimplifications and inaccurate forecasts,as illustrated by past financial crises and market disruptions.The paper concludes by advocating for a more balanced approach that combines mathematical rigor with an understanding of human behavior to enhance the accuracy and effectiveness of economic predictions.

Economic modeling of mechanized and semi-mechanized rainfed wheat production systems using multiple linear regression model

Mathematical modeling of economic indices is a challenging topic in crop production systems.The present study aimed to model the economic indices of mechanized and semimechanized rainfed wheat production systems using various multiple linear regression models.The study area was Behshahr County located in the east of Mazandaran Province,Northern Iran.The statistical population included all wheat producers in Behshahr County in 2016/17 crop year.Five input variables were human labor,machinery,diesel fuel,chemical(chemical fertilizers and chemical pesticides)costs,and the income was considered to be the output.The results showed that the cost of wheat production in the semimechanized system was higher than that of the mechanized system.In both systems,the highest cost was related to agricultural machinery input.Moreover,seed cost was lower in the mechanized system than that of the semi-mechanized system.The net return indicator was 993.68$ha1 and 626.71$ha1 for the mechanized and semi-mechanized systems,respectively.The average benefit to cost ratio was 3.46 and 2.40 for the mechanized and semi-mechanized systems,respectively,demonstrating the greater profitability of the mechanized system.The results of the evaluation of five types of regression models including the Cobb-Douglas,linear,2FI,quadratic and pure-quadratic for the mechanized and semi-mechanized production systems indicated that in the developed Cobb-Douglas model,the R2-value was higher than that of the quadratic model while RMSE and MAPE of the quadratic model were determined to be smaller than that of the Cobb-Douglas model.Therefore,the best model to investigate the relationship between input costs and the income of wheat production in both mechanized and semi-mechanized systems was the quadratic model.

Multiobjective economic model predictive control using utopia-tracking for the wet flue gas desulphurization system

Efficient control of the desulphurization system is challenging in maximizing the economic objective while reducing the SO_(2) emission concentration. The conventional optimization method is generally based on a hierarchical structure in which the upper optimization layer calculates the steady-state results and the lower control layer is responsible to drive the process to the target point. However, the conventional hierarchical structure does not take the economic performance of the dynamic tracking process into account. To this end, multi-objective economic model predictive control(MOEMPC) is introduced in this paper, which unifies the optimization and control layers in a single stage. The objective functions are formulated in terms of a dynamic horizon and to balance the stability and economic performance. In the MOEMPC scheme, economic performance and SO_(2) emission performance are guaranteed by tracking a set of utopia points during dynamic transitions. The terminal penalty function and stabilizing constraint conditions are designed to ensure the stability of the system. Finally, an optimized control method for the stable operation of the complex desulfurization system has been established. Simulation results demonstrate that MOEMPC is superior over another control strategy in terms of economic performance and emission reduction, especially when the desulphurization system suffers from frequent flue gas disturbances.

Fractional Order Environmental and Economic Model Investigations Using Artificial Neural Network

The motive of these investigations is to provide the importance and significance of the fractional order(FO)derivatives in the nonlinear environmental and economic(NEE)model,i.e.,FO-NEE model.The dynamics of the NEE model achieves more precise by using the form of the FO derivative.The investigations through the non-integer and nonlinear mathematical form to define the FO-NEE model are also provided in this study.The composition of the FO-NEEmodel is classified into three classes,execution cost of control,system competence of industrial elements and a new diagnostics technical exclusion cost.The mathematical FO-NEE system is numerically studied by using the artificial neural networks(ANNs)along with the Levenberg-Marquardt backpropagation method(ANNs-LMBM).Three different cases using the FO derivative have been examined to present the numerical performances of the FO-NEE model.The data is selected to solve the mathematical FO-NEE system is executed as 70%for training and 15%for both testing and certification.The exactness of the proposed ANNs-LMBM is observed through the comparison of the obtained and the Adams-Bashforth-Moulton database results.To ratify the aptitude,validity,constancy,exactness,and competence of the ANNs-LMBM,the numerical replications using the state transitions,regression,correlation,error histograms and mean square error are also described.

Finite-time economic model predictive control for optimal load dispatch and frequency regulation in interconnected power systems

This paper presents a finite-time economic model predictive control(MPC)algorithm that can be used for frequency regulation and optimal load dispatch in multi-area power systems.Economic MPC can be used in a power system to ensure frequency stability,real-time economic optimization,control of the system and optimal load dispatch from it.A generalized terminal penalty term was used,and the finite-time convergence of the system was guaranteed.The effectiveness of the proposed model predictive control algorithm was verified by simulating a power system,which had two areas connected by an AC tie line.The simulation results demonstrated the effectiveness of the algorithm.

Optimal dispatching method for integrated energy system based on robust economic model predictive control considering source-load power interval prediction

Effective source-load prediction and reasonable dispatching are crucial to realize the economic and reliable operations of integrated energy systems(IESs).They can overcome the challenges introduced by the uncertainties of new energies and various types of loads in the IES.Accordingly,a robust optimal dispatching method for the IES based on a robust economic model predictive control(REMPC)strategy considering source-load power interval prediction is proposed.First,an operation model of the IES is established,and an interval prediction model based on the bidirectional long short-term memory network optimized by beetle antenna search and bootstrap is formulated and applied to predict the photovoltaic power and the cooling,heating,and electrical loads.Then,an optimal dispatching scheme based on REMPC is devised for the IES.The source-load interval prediction results are used to improve the robustness of the REPMC and reduce the influence of source-load uncertainties on dispatching.An actual IES case is selected to conduct simulations;the results show that compared with other prediction techniques,the proposed method has higher prediction interval coverage probability and prediction interval normalized averaged width.Moreover,the operational cost of the IES is decreased by the REMPC strategy.With the devised dispatching scheme,the ability of the IES to handle the dispatching risk caused by prediction errors is enhanced.Improved dispatching robustness and operational economy are also achieved.

A Two-Sector Economic Growth Model with Labor Force Transfer

In this paper, a two\|sector growth model is given. The labor force transfer process from agricultural sector to industrial sector is exogenous determined. By introducing the labor force transferring function, a two\|dimension nonautonomous differential equation is obtained. The results of the model manifest that the labor force transfer delays industrial sector growth and accelerates the agricultural sector growth. It is proved that the solution of the model is asymptotic stable. By the numerical analysis, the economic growth and labor force transfer is presented under the specific parameters.

Impact of openness, economic policy reform and regional shocks on trade and growth of Thailand： An econometric study

Thailand has currently enhanced and promoted intensive trade and investment liberalization and implemented long-term growth policy according with current regional economic integration, WTO obligations and globalization. Nevertheless, several recent internal and external factors e.g. the massive SARS and avian flu outbreaks, the Indian Ocean tsunami devastation, the Asia financial crisis and domestic policy reforms （ICSEAD, 2006） have also impeded this policy. While the issues are important for Thailand and developing countries in Asia, only limited research has been undertaken to investigate them. The paper conducts a substantive quantitative study to contribute to these trade and development policy issues. A new econometric modelling policy method, namely the generalized gravity theory （Tran Van Hoa, 2004） is used to develop a simple flexible simultaneous-equation econometric model of Thailand＇s openness model with its seven major trade partners （ASEAN-4, Australia, the USA, the EU, China, Japan and India）. Using data from the ICSEAD, the World Development Indicators and the Bank of Thailand databases, the paper reveals efficient and reliable empirical findings on trade-growth causality, trade determination including the impact of shocks and policy reform on trade and growth between Thailand and its major trade partners over the past two decades. The paper also provides evidence on the linkages between trade in goods, FDI and services and regional economic integration for more credible policy implications.

Reverse Engineering, Some Board Games as a Key to the Development of Artificial Intelligence and Construction of Economic Models

Reverse engineering, also called back engineering, is the process of extracting knowledge or designing information from anything： mechanical device electronic components, computer programs, or biological, chemical matters, and--subsequently--analyzing its components. Reverse engineering can be applied for the sake of creating artificial intelligence, e.g. when the used methods are based on very old games, such as Go and chess. Many generations of computers are able to play at the same level as human grandmasters. A computers＇ arrival at that level is due to imitation of human Go or chess play. A particular emphasis shall be placed upon the Go game, known for 5,500 years. Invented in China, it may be classified as the oldest board game, having its ardent enthusiasts until present times. Old physical issues can be easily projected upon the modeling of new economic phenomena and quantum games. The aim of this paper is to discuss the applications of reverse engineering, traditional social games and other domains, such as quantum physics, to the analysis of utterly new social as well as economic phenomena.

Remodeling of the Macedonian Economy

The Macedonian economy gets out relatively little hurt by the global economic crisis not facing with financial crisis, the recession was short-lived, and social crisis emerged in modest sizes. However, the global crisis revealed the major weaknesses of the economic model which was implemented. It turned out that the Macedonian economy is very dependent on the performance of only a few sectors and movements on the prices of its most important export and import products, and that the scope of supply and demand for domestic goods and services is small. These lectures from the economic crisis posed by the need to create a new model for country economic development in the future. The application of historical, statistical, analytical and comparative method shows that Macedonia should exercise other holistic approach in the remodeling of their economy. This means that, besides keeping macroeconomic and financial policy in the future the Macedonian government should act more vigorously in the direction of creating new jobs and provide greater social security. The economic model that we propose in this paper recommends it be done by encouraging small and medium enterprises, diversification of production, encouraging domestic investments, developing human capital, improving infrastructure, encouraging exports and harmonization the macroeconomic instruments. The application of this model will result in increasing investments, industrial production and exports, increasing the competitiveness of domestic products, reducing the trade deficit and maintaining the macroeconomic stability. The general conclusion of the paper is that application of the proposed economic model should lead to realization of two most important goals： achieving lasting, sustainable and significantly higher rates of economic growth and reducing the high rate of unemployment in the country.

The Global Value Chains and the Evolution of Chinese Economic Model

According to the Word Bank,in the first 38 years of China,economic reform took 700 million people out poverty line in China at the same time benefiting the Global South economy due to the integration of the transnational enterprises global value chains with China.Chinese government understood the economic rational of global value chains,Flying Geese Model,and foreign direct investment theories and introduced policies to attract foreign capital,technology,production,and foreign buyers,placing China as the final stage of the production networks in Asia and also transforming China in the biggest buying market of many resources and energy suppliers from less developed countries in Asia,Africa,and South America.But a new model of Chinese economic development even more interconnected and interdependent with the world is now on move.Even quite before the world acknowledge the protectionist mindset of the US in Trump era,Chinese President Xi Jinping launched in 2013 a very ambitious initiative under the name of“One Road,One Belt,the 21st-Century Maritime Silk Road”to enhance a new stage of world globalization,which together with two complimentary initiatives:the“International Production Cooperation”and“Third-Country Market Cooperation”,and in complementarity with the“Made in China 2025”and“Internet Plus”plans will lead China to develop global value chains leaded by Chinese companies and integrating countries of Europe,Africa,Asia,and South America.

Construction of Regional Economic Vitality Model

Regional economic vitality reflects the scale and development potential of a region’s economy.It largely determines the development of the city,and is also affected by many factors such as population competitiveness,corporate competitiveness,market vitality,innovation vitality,and environmental vitality.A pilot model was constructed with Hebei Province as the inspection area.Quantitative measurement of regional economic vitality was made by finding 21 indicators that indirectly or indirectly affect the economic vitality of Hebei Province.By analyzing the data of 21 indicators for nearly 10 years,the time series clustering is used to achieve the dimensionality reduction of the indicators.After the dimension reduction,it is divided into four categories:overall scale,development potential,market vitality,and innovation vitality.Construct the economic vitality structure model of Hebei Province,and determine the four types of contribution to economic vitality and compare them.On this basis,more accurately grasp the indicators that affect economic vitality and work out reasonable and effective action plans.From the perspective of human resources and corporate vitality,analyze how the action plan accurately affects the economic vitality of Hebei Province[1].The 11 cities in Hebei Province are the target of regional economic vitality.The economic vitality structure model constructed uses the required contribution value to select priority indicators.Finally,the six indicators of GPD,GPD growth rate,fiscal revenue,fiscal revenue growth rate,number of industrial enterprises above designated size,and total profit of industrial enterprises above designated size were established for eleven cities in Hebei Province to construct a TOPSIS scoring model,and calculation rankings were conducted through MATLAB.Results The top three cities were Shijiazhuang,Tangshan and Cangzhou.

Experiences and Prospects of China＇s Free Economic Zones after over 20 Years

Chinese FEZs are used as the tool for opening-up policy and the structural reform as well as the growth pole for the regional economic development. It is true that no Free Economic Zones （FEZs） in the world like in China have made so strong impact on national economic development and structural reform. Due to the change of their existing condition since the middle of 1990s, Chinese FEZs have to face the new challenges and problems. This study discusses and prospects the transformation and further development of Chinese FEZs in the 21^st century as well as their significance for the transformation of FEZs in other countries based on the analysis of the indicators such as the role, policy, industrial sectors, administration, development model, spatial structure and location.

Information Models for Forecasting Nonlinear Economic Dynamics in the Digital Era

The aim of this study was to develop an adequate mathematical model for long-term forecasting of technological progress and economic growth in the digital age (2020-2050). In addition, the task was to develop a model for forecast calculations of labor productivity in the symbiosis of “man + intelligent machine”, where an intelligent machine (IM) is understood as a computer or robot equipped with elements of artificial intelligence (AI), as well as in the digital economy as a whole. In the course of the study, it was shown that in order to implement its goals the Schumpeter-Kondratiev innovation and cycle theory on forming long waves (LW) of economic development influenced by a powerful cluster of economic technologies engendered by industrial revolutions is most appropriate for a long-term forecasting of technological progress and economic growth. The Solow neoclassical model of economic growth, synchronized with LW, gives the opportunity to forecast economic dynamics of technologically advanced countries with a greater precision up to 30 years, the time which correlates with the continuation of LW. In the information and digital age, the key role among the main factors of growth (capital, labour and technological progress) is played by the latter. The authors have developed an information model which allows for forecasting technological progress basing on growth rates of endogenous technological information in economics. The main regimes of producing technological information, corresponding to the eras of information and digital economies, are given in the article, as well as the Lagrangians that engender them. The model is verified on the example of the 5th information LW for the US economy (1982-2018) and it has had highly accurate approximation for both technological progress and economic growth. A number of new results were obtained using the developed information models for forecasting technological progress. The forecasting trajectory of economic growth of developed countries (on the example of the USA) on the upward stage of the 6th LW (2018-2042), engendered by the digital technologies of the 4th Industrial Revolution is given. It is also demonstrated that the symbiosis of human and intelligent machine (IM) is the driving force in the digital economy, where man plays the leading role organizing effective and efficient mutual work. Authors suggest a mathematical model for calculating labour productivity in the digital economy, where the symbiosis of “human + IM” is widely used. The calculations carried out with the help of the model show: 1) the symbiosis of “human + IM” from the very beginning lets to realize the possibilities of increasing work performance in the economy with the help of digital technologies;2) the largest labour productivity is achieved in the symbiosis of “human + IM”, where man labour prevails, and the lowest labour productivity is seen where the largest part of the work is performed by IM;3) developed countries may achieve labour productivity of 3% per year by the mid-2020s, which has all the chances to stay up to the 2040s.

What Competition Model for Economic Development Should China Adopt at the Present Stage?

As a major developing country,China has attracted significant attention as to whichpathitshouldfol owfortechnologicalprogress.Accordingtotheauthorofthispaper,Chinashouldcontinueto pursue the international division of labor and competition strategy based on comparative advantages.Meanwhile,China should,through reform and adjustment,build a national innovation system capable ofplaying an e ective role in the future.However,laying too much emphasis on proprietary innovation atthe present stage wil bring about undesirable consequences.The timing for China to embark on a path oftechnologicaldevelopmentthroughproprietaryinnovationissubjecttothechangesbothintradeconditionsandin income distribution e ects arising from proprietary innovation.

The Economic Profitability of Cereal Production Systems in the Context of Adaptation to Climate Change:the Case of Millet

This article studies the economic profitability of the millet production in a context of adaptation to climatic changes by considering the techniques of adaptation to soil protection,namely,low wall girdles tree and halfmoon in order to determine their impact on the economic profitability of the production of this cereal.

Memory-Type Control Charts Through the Lens of Cost Parameters

A memory-type control chart utilizes previous information for chart construction.An example of a memory-type chart is an exponentially-weighted moving average(EWMA)control chart.The EWMA control chart is well-known and widely employed by practitioners for monitoring small and moderate process mean shifts.Meanwhile,the EWMA median chart is robust against outliers.In light of this,the economic model of the EWMA and EWMA median control charts are commonly considered.This study aims to investigate the effect of cost parameters on the out-of-control average run lengthðARL_(1)Þin implementing EWMA and EWMA median control charts.The economic model was used to compute the ARL_(1) parameter.The 14 input parameters were identified and the analysis was carried out based on the one-parameter-at-a-time basis.When the input parameters change based on a predetermined percentage,the ARL_(1) is affected.According to the results of the EWMA chart,nine input parameters had an effect andfive input parameters had no effect on the ARL_(1) parameter.Further,only seven of the 14 input parameters had an effect on the ARL_(1) of the EWMA median chart.However,the effect of each input parameter on the ARL_(1) was different.Moreover,the ARL_(1) for the EWMA median chart was smaller than the EWMA chart.This analysis is crucial to observe and determine the input parameters that have a significant impact on the ARL_(1) of the EMWA and EWMA median control charts.Hence,practitioners can obtain an overview of the influence of the input parameters on the ARL_(1) when implementing the EWMA and EWMA median control charts.

Critical Analysis of Increasingly Mathematical Economics in the Modern Society

This paper critically examines the escalating trend of mathematization in economics,highlighting its implications and controversies in contemporary economic research.While the application of sophisticated mathematical models and statistical techniques has enhanced the precision,rigor,and status of economics within academia and practical application,concerns arise regarding the potential oversimplification and detachment from real-world complexities.The adoption of mathematical tools has arguably led to a focus on theoretically tractable problems at the expense of those more relevant to practical economic and social issues.This paper explores both the benefits and limitations of this trend,discussing how the reliance on quantitative methods affects the innovation,comprehensibility,and application of economic theories.We argue for a balanced approach that fosters innovation by integrating qualitative insights and embracing interdisciplinary methods to ensure economics remains both rigorous and relevant to societal needs.

Multiyear Discrete Stochastic Programming with a Fuzzy Semi-Markov Process

Drought conditions at a given location evolve randomly through time and are typically characterized by severity and duration. Researchers interested in modeling the economic effects of drought on agriculture or other water users often capture the stochastic nature of drought and its conditions via multiyear, stochastic economic models. Three major sources of uncertainty in application of a multiyear discrete stochastic model to evaluate user preparedness and response to drought are: (1) the assumption of independence of yearly weather conditions, (2) linguistic vagueness in the definition of drought itself, and (3) the duration of drought. One means of addressing these uncertainties is to re-cast drought as a stochastic, multiyear process using a “fuzzy” semi-Markov process. In this paper, we review “crisp” versus “fuzzy” representations of drought and show how fuzzy semi-Markov processes can aid researchers in developing more robust multiyear, discrete stochastic models.