中国科学院数学与系统科学研究院期刊网

12 November 2025, Volume 45 Issue 11
    

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  • YANG Shuang, JIA Bin, YANG Kai, GAO Dayou
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3385-3403. https://doi.org/10.12341/jssms250296
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    Pre-disaster planning and post-disaster repair are critical strategies for enhancing the resilience of urban road transportation systems. This study comprehensively considers the multidimensional uncertainties in damaged road locations, damage types, and repair durations, as well as the heterogeneity of repair tasks. A two-stage stochastic programming model is developed for the emergency facility location and repair scheduling of urban road transportation systems, aiming to maximize the combined value of emergency facility coverage and overall system resilience. Based on the structural characteristics of the proposed model, a concentration set-based Sample Average Approximation (SAA) algorithm is designed. Experimental results demonstrate that the proposed resilience-optimal recovery strategy outperforms traditional approaches such as random recovery, betweenness-priority recovery, flow-priority recovery, and length-priority recovery. Moreover, the concentration set-based SAA algorithm enables efficient solution of the problem. The findings of this study provide decision-making support and algorithmic guidance for the development of facility location and emergency repair scheduling plans aimed at enhancing the resilience of urban road transportation systems.
  • HAN Mengying, GAO Kaiye, YAN Rui, QIU Qingan
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3404-3426. https://doi.org/10.12341/jssms240708
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    To address the dual abnormal action behaviors of misoperation and refusal operation in multi-state protection systems, a condition-based maintenance strategy based on system states and abnormal actions is proposed. First, an association model linking system states to abnormal actions is developed on the basis of competitive failure modeling, followed by a detailed analysis of system renewal scenarios. Second, the probabilities of various renewal scenarios are quantitatively assessed based on system failure criteria and probabilistic functions of abnormal actions. Third, analytical expressions for economic losses and system lifetime under abnormal actions are derived, enabling the formulation of a maintenance optimization model aimed at minimizing the long-term expected cost rate, thereby determining the optimal inspection interval. Finally, the correctness of the proposed model is verified through a discrete-event simulation algorithm, and its practical applicability is demonstrated via a numerical example. The results show that the probabilities of misoperation and refusal operation in defective systems significantly affect the optimal inspection policy, and the proposed approach provides a theoretical foundation and decision-making support for maintenance planning in engineering applications.
  • CHEN Qitong, WANG Qin
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3427-3442. https://doi.org/10.12341/jssms23501
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    In this paper, a time-varying financial stability test method based on time-frequency decomposition is proposed by combining completed ensemble empirical mode decomposition with adaptive noise (CEEMDAN) and time-varying quantile regression, and an empirical study is carried out using the daily data of stock markets in BRIC countries and developed countries from 1997 to 2021. The empirical results show that financial instability comes from different frequency domains. Specifically, the financial market instability of developing countries comes from the high frequency domain, while the financial market of developed countries has certain instability in the low frequency domain. Systematic shocks to countries, both at high and low frequencies, have asymmetric effects, and developing countries are more affected. Finally, the state of financial market instability in each country has a certain degree of persistence.
  • BA Yongqi, WU Peng, TIAN Lijun
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3443-3461. https://doi.org/10.12341/jssms240523
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    As an important component of urban public transportation, the fare system and route network design of customized buses play a crucial role in promoting the healthy operation of the customized bus system and improving service quality. Concerning price-elastic demand, this study addresses a new optimization problem of pricing decision and route network design for morning and evening peak commuting customized buses to develop a scientific fare system and route network. The objective is to maximize the operational profit while simultaneously optimizing vehicle routes, passenger allocation, fares, and travel times. Firstly, we formulate the problem as a mixed-integer nonlinear programming model and transform it into an equivalent mixed-integer linear programming model. To effectively solve it, a tailored adaptive large neighborhood search (ALNS) algorithm is developed based on the characteristics of the problem. Two tailored operators: Minimum profit and minimum patronage destruction operators are designed to enhance its effectiveness. Extensive numerical experimental results confirm the efficiency and effectiveness of the proposed model and algorithm. For small-scale instances, the proposed ALNS algorithm can obtain optimal solutions or solutions of higher quality compared to commercial solver CPLEX within 5 seconds. For the typical large-scale Fuzhou case, the proposed ALNS algorithm can obtain satisfactory solutions that are 0.617% and 0.344% better compared to the traditional large neighborhood search algorithm and adaptive large neighborhood search algorithm, respectively. Compared with the problem without considering pricing decisions and penalty costs, considering pricing decisions and penalty costs can increase operational profit by 14.98% and the number of served passengers by 35.51% on average.
  • XU Shuling, DA Pengfei, CHEN Haodong, HONG Wei
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3462-3479. https://doi.org/10.12341/jssms240823
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    This study explores the enhancement of “first mile” logistics in the low-altitude economy, focusing on optimizing the harvesting and distribution of fruits and vegetables, which are characterized by seasonality, freshness, perishability, and regional specificity. We address the collaborative routing of trucks and multi-drones under time constraints by proposing a two-stage mixed integer linear programming model. The first stage minimizes the combined travel and activation costs for both drones and trucks, while the second stage reduces total transportation costs. Extensive numerical experiments validate the model’s feasibility and effectiveness, and an empirical analysis using operational data from SF Express demonstrates its practical applicability. The results reveal that the model provides optimal solutions within specified time limits, significantly improving logistics efficiency while ensuring product maturity and freshness. This research offers valuable insights for modernizing agricultural supply chains and identifies new opportunities for applying low-altitude economy principles in agriculture.
  • LIN Zhibing, LI Yuwen
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3480-3499. https://doi.org/10.12341/jssms240094
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    Green consumer credit is an effective financial tool to stimulate green consumption through interest rate incentives. This paper examines the impact of two green consumer credit strategies offered by the financial institution on supply chain operations, including G strategy (credit preference without target green degree) and TG strategy (credit preference with target green degree). The results show that: 1) Increasing the preferential coefficient for green consumer credit can effectively motivate the manufacturer to invest more in green R&D, thereby securing more favorable credit rates for consumers. In addition, the financial institution can mitigate the negative effects of increased default risk by adjusting the target green degree. 2) Both green consumer credit models contribute to the promotion of green products and enhance the profits of the manufacturer and the retailer. Particularly, when the environmental awareness of the financial institution exceeds a certain value, the adoption of the TG strategy can facilitate Pareto-optimal situation among channel members. 3) Compared to manufacturer-independent R&D scenarios, green R&D cooperation between the manufacturer and the retailer can effectively expand the incentive scope of both green consumer credit models and the Pareto improvement interval among channel members.
  • ZHOU Jianheng, SHANG Xiaofeng, JI Yajie
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3500-3518. https://doi.org/10.12341/jssms23176
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    For a supply chain consisting of an upstream manufacturer and a downstream retailer $R_j $, the impact of the manufacturer's information advantage (making demand information disclosure) on the new entrant's brand strategy is analyzed by considering the threat of store brand introduction by the new entrant, retailer $R_i $, in the market under the condition of market demand uncertainty. Based on this, firstly, four combinations of strategies are constructed for whether manufacturers disclose information and whether the retailer $R_i $ introduces store brand, secondly, the effects of manufacturers' disclosure strategies on pricing and ordering decisions of each participant, the optimal disclosure strategies of manufacturers and the optimal store brand introduction strategies of retailers $R_i $ are analyzed, and finally, a fixed transfer payment incentive mechanism is designed to induce manufacturers to disclose or not. The study shows that the manufacturer's disclosure strategy changes retailer $R_i $'s introduction strategy to some extent when the fixed introduction cost lies in the middle value. Intuitively, $R_j $ does not want the manufacturer to disclose information, but when the channel substitution rate exceeds a certain threshold, its resistance to manufacturer disclosure will diminish. private label introduction by $R_i $ benefits the overall supply chain revenue under certain conditions, but always disadvantages the manufacturer. When retailer $R_i $ takes the lead in deciding whether to introduce store brand, both parties' gains will be better if the manufacturer accepts either $R_i $'s or $R_j $'s incentive contract.
  • LIU Weihua, LU Yizhen
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3519-3533. https://doi.org/10.12341/jssms240810
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    In the context of the rapid development of e-commerce, but the return and exchange rate remains high, resulting in a large amount of wasted resources, online retailers use augmented reality and other technologies to provide consumers with a “virtual showroom” service in order to reduce the operating costs arising from a large number of returns and exchanges. To address the impact of consumer free-riding behavior on the pricing and service decisions of supply chain members when virtual showrooms are introduced into the online dual-channel supply chain, this paper constructs a dual-channel supply chain model consisting of the manufacturer’s online direct sales channel and the online retailer’s distribution channel based on the Stackelberg game theory, and analyzes the impact of the consumer’s free-riding behavior on the optimal profits of the supply chain members, as well as the strategic game between the online retailer and the manufacturer. We analyze the impact of consumer free-riding behavior on the optimal profits of supply chain members and the strategic game between online retailers and manufacturers. The study finds that, firstly, consumer free-riding behavior harms the profitability of online retailers and affects the sensitivity of the optimal profitability of manufacturers and online retailers to the return rate of products. Secondly, online retailers can eliminate the effect of consumer free-riding behavior through price matching, but this strategy is effective only when the channel competition intensity is high and the product return rate is low. Finally, manufacturers also have sufficient incentives to open virtual showroom services when product return rates and channel competition intensity are high.
  • CHEN Rongjun, LIU Yongcai, HUANG He, TANG Guochun
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3534-3542. https://doi.org/10.12341/jssms240009
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    In this paper, we study a model on joint decisions of subcontracting and detailed jobs scheduling. The jobs can be either processed by parallel machines at the manufacturer in-house or subcontracted to a subcontractor with single machine for processing at costs. The subcontracted jobs need to be transported back to the manufacturer in batches after processing. The manufacturer needs to determine which jobs should be produced in-house and which jobs should be subcontracted. Furthermore, it needs to determine a production schedule for all jobs and transportation mode for jobs subcontracted. The objective is to minimize the sum of production cost, transposition cost and subcontracting cost. For the problem under the four different production costs of total completion time, maximum lateness, number of tardy jobs and makespan, the optimality is presented based on parallel scheduling theory. A polynomial time dynamic programming algorithm is designed for the problem of processing cost as the total completion time and three pseudo-polynomial-time dynamic programming algorithms are developed for the other three processing costs, respectively.
  • SUN Jingyun, MA Xiaowen, ZHANG Ling
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3543-3560. https://doi.org/10.12341/jssms240413
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    In this paper, we consider the optimal asset allocation problem for a defined contribution (DC) pension fund within a financial market where the risky assets exhibit pricing errors and stochastic volatility. The investment opportunity set in the financial market consists of risk-free asset, a market index fund whose price follows the constant elasticity of variance (CEV) model, and a pair of mispriced risky assets (stocks). Employing the stochastic dynamic programming approach, we aim to maximize the expected hyperbolic absolute risk aversion (HARA) utility of participants’ pension fund accounts at retirement. Through this method, we derive analytical expressions for the value function and the corresponding optimal investment strategy. Additionally, we explore two special cases of the optimal investment strategy under exponential and power utility functions, respectively. Numerical analysis reveals that the optimal allocation to the index fund in the DC pension fund is directly influenced by the stochastic volatility of asset prices. When the two mispriced assets exhibit equivalent mispricing correction capabilities, their optimal investment strategy manifests as a symmetric long-short trading approach. Furthermore, a higher contribution rate to the DC pension fund leads to a more aggressive optimal asset allocation strategy.
  • QU Guohua, PENG Yuqing, LI Chunhua
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3561-3590. https://doi.org/10.12341/jssms250158
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    The active and steady promotion of carbon peaking and carbon neutrality in the Yellow River Basin has become a major issue of continuous domestic concern. During the process of promotion, the participation of the government and enterprises is particularly important. Based on the connotation logic of promoting carbon peaking and carbon neutrality in the Yellow River Basin by new quality productivity, this paper analyzes the mechanism of the government's role in promoting enterprises to achieve carbon peaking and carbon neutrality in the Yellow River Basin under the background of new quality productivity, and constructs an evolutionary game model of the government and enterprises under the background of new quality productivity for theoretical and simulation analysis. The research results show that the evolutionary path of the government and enterprises presents a bistable characteristic. That is, the system has two stable equilibrium points: $(0,0)$ (government subsidy-enterprises actively develop new quality productivity) and $(1,1)$ (no subsidy-enterprises passively respond), verifying the symbiotic relationship between policy incentives and enterprise responses. Dynamic subsidies have a significant leverage effect. When the government subsidy C is dynamically adjusted with the enterprise's enthusiasm (1-y), the system nearly converges 100% to a win-win situation, indicating that precise policy measures can break the "subsidy dependence" dilemma. The cost sensitivity of enterprises dominates the strategy choice, while multi-dimensional heterogeneity requires differentiated governance in the Yellow River Basin. Based on this, this article suggests that the government should urge enterprises to actively develop new quality productivity through creating a differentiated policy environment, maintaining information symmetry and sharing between the government and enterprises, and establishing a supervision and management system, with the aim of achieving carbon peaking and carbon neutrality in the Yellow River Basin as soon as possible.
  • HAO Penghui, NAN Zhaoying
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3591-3603. https://doi.org/10.12341/jssms240832
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    In the context of major natural disasters with multiple affected areas, it is crucial not only to respond quickly to rescue needs but also to comprehensively consider the efficiency, effectiveness, and fairness of assistance. This study proposes two optimization objectives for emergency aid across multiple affected regions: Minimizing unmet demand and minimizing the maximum arrival time. A multi-objective nonlinear programming model is established for multi-supply-point collaborative assistance, incorporating the collaborative effects among supply points into the optimization model. The model is solved using the Non-dominated Sorting Genetic Algorithm II (NSGA-II), which optimizes multiple objectives under complex constraints, generating efficient and practical resource scheduling solutions. Numerical analysis validates the effectiveness of the proposed model and algorithm in improving the efficiency of emergency resource allocation, ensuring fairness, and reducing response time, providing scientific evidence and practical application references for resource distribution in multi-affected-area scenarios.
  • CHEN Qiang, YU Tianxin, SHI Huihui
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3604-3618. https://doi.org/10.12341/jssms240181
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    In this paper, an unknown system dynamic estimator based sliding mode control scheme is proposed for anti-sway control of overhead cranes with unmatched disturbances and unmodeled dynamics. Through introducing a first-order low-pass filter, the unknown system dynamic estimator is designed to compensate for the unknown system dynamics including unmatched disturbances, such that the disturbance rejection ability can be enhanced. Then, a two-phase power reaching law based sliding mode controller is constructed to obtain the relatively accurate convergence time of the sliding mode variable and guarantee the fast convergence speed. The experimental results show that the proposed method can effectively achieve the satisfactory anti-sway performance and positioning accuracy of the overhead crane.
  • LUO Ming-Min, WANG Jun
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3619-3634. https://doi.org/10.12341/jssms240467
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    In response to the significant parameter uncertainties, completely unknown external disturbances, and actuator failures faced by quadrotor UAVs during flight, this paper proposes a robust adaptive controller. Firstly, a quadrotor UAV model is established that is affected by external environmental disturbances and actuator failures, while considering the uncertainties in system parameters. To address the shortcomings of traditional sliding mode reaching laws in eliminating chattering and improving convergence speed, a nonlinear robust adaptive sliding mode controller based on a novel sliding mode reaching law is proposed. Additionally, adaptive laws are designed to estimate system parameters, external disturbances, and actuator failure information that are difficult to measure directly and accurately. To ensure the stability of the closed-loop system, the controller employs the upper bound of unknown lumped disturbances as the switching gain. Experimental results demonstrate that the proposed controller exhibits significantly stronger fault tolerance and disturbance rejection performance compared to two other algorithms.
  • WANG Jun, CAI Xueqiang
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3635-3656. https://doi.org/10.12341/jssms240271
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    This paper addresses the fault-tolerant consensus problem in heterogeneous multi-agent systems based on an adaptive distributed event-triggered mechanism, with a focus on actuator faults and bounded external disturbances. Compared to existing research, this paper introduces distributed intermediate variables to model the closed-loop error in heterogeneous multi-agent systems. Additionally, a fault observer is designed to estimate actuator fault states in real time and compensate for actuator faults by adjusting control gains online. Furthermore, an adaptive distributed event-triggered mechanism is designed, which conserves communication resources and successfully avoids the Zeno phenomenon through dynamic interactions and information sharing among agents. Moreover, a fault-tolerant controller based on a distributed adaptive event-triggered mechanism is designed to ensure that agents maintain consistent behavior even in the presence of actuator faults or external disturbances. Finally, the feasibility and effectiveness of the proposed method are validated through Matlab simulations, providing a practical solution for real-world applications.
  • ZHENG Ziyi, YU Yang, WANG Wei
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3657-3669. https://doi.org/10.12341/jssms240343
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    This paper studies the formation control problem of multi-unmanned ground vehicles with uncertain nonlinear dynamics. First, a formation motion model of multi-unmanned ground vehicles is established based on leader-follower method, which describes the leader-follower relationship among individual unmanned vehicles. The uncertain nonlinear dynamics are learned online by neural networks. Then, based on the target tracking mechanism, an adaptive neural network direction controller is designed by introducing a sliding mode surface. Simultaneously, combining with backstepping control technique, a target tracking mechanism based adaptive neural network propulsion controller is presented to achieve integrated longitudinal and lateral formation driving of multiple unmanned vehicles. Lyapunov stability theory is used to analyze and prove the stability of the closed-loop multi-unmanned vehicle formation control system, and the formation tracking error can converge to the neighborhood of origin. Finally, the simulation results verify that the formation control and formation maintenance are realized under the proposed control algorithm.
  • MENG Bin, ZHANG Hangning
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3670-3678. https://doi.org/10.12341/jssms240484
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    Aerocapture is one of the key technologies for low-cost transport, with only one chance to achieve it, and the reliability requirement is very high, so it puts high requirements on the autonomy, accuracy and robustness of guidance and control, and its design and theoretical analysis are difficult. At present, no research results on the control problem of aerocapture have been seen. For the control problem of aerodynamic entry, this paper adopts the PD control method adopted by engineering, but for the complex aerodynamic angular kinematics, its stability analysis is difficult. In this paper, an in-depth study is carried out for the nonlinear attitude dynamics of aerocapture, and its open-loop nature and closed-loop performance are analyzed by using the method of small-angle linearization. Finally, a joint mathematical simulation of guidance and control under the consideration of navigation deviation and multiple uncertainties is carried out to verify the effectiveness of the proposed method. The stability analysis method proposed in this paper can be extended to general aerodynamic entry control design, thus providing theoretical support.
  • SONG Zhengyuan, YANG Rushuang, LI Huanrong
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3679-3689. https://doi.org/10.12341/jssms240065
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    The motor nervous system is a small but complex comprehensive system, and the information transmission process of the motor nervous system is often affected by noise generated by changes in the external environment, the randomness of biochemical reactions in cells, the randomness of ion channel switching, etc. To study the influence of colored noise on the motor neural information transmission process, In this paper, the fully discrete spectral Galerkin algorithm is proposed for the random FitzHugh-Nagumo neural system information conduction model under colored noise interference, and the stability of the numerical solution of the algorithm is analyzed. The information transmission process of random FitzHugh-Nagumo nervous system under the interference of a single colored noise sample and the average meaning of multiple colored noise samples is simulated, and compared with the deterministic neural information transmission process without noise interference, the effect of colored noise on the nervous system information transmission is analyzed. It is helpful to explain the dynamic behavior of information conduction in complex motor nervous system under the influence of noise.
  • HOU Ximei, WANG Gaoxia, WANG Yike
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3690-3701. https://doi.org/10.12341/jssms22780
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    Motif is a form of high-order network structure. This paper takes the three-node simple motifs as the research object. Based on the connection types of the edges, the missing edge matrix representing the borderless structure of the networks is introduced. Using matrix product, Hadamard product and special operation based on matrix elements, the representations of motif adjacency matrix in networks are studied. The matrix expressions of the open motif adjacency matrix are given for the directed unweighted networks. For the directed weighted networks, according to the new method of dealing with the bidirectional edge weight, based on the arithmetic mean and geometric mean of each edge weight of the motifs, the matrix expressions of the corresponding motif adjacency matrix under the two modes of overall weighting for motifs are obtained. A test example is given and the relations between expressions of motif adjacency matrix of four network types are analyzed and discussed.
  • XIAO Yao, QIN Hong, ZOU Na
    Journal of Systems Science and Mathematical Sciences. 2025, 45(11): 3702-3714. https://doi.org/10.12341/jssms250058
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    Determining the effective and efficient lower bounds of the discrepancy criterion in uniform designs is a critical aspect of experimental designs. In this work, we investigate the issue of lower bounds of the newly proposed absolute discrepancy. The lower bound of absolute discrepancy on symmetric multi-level designs is presented and some new sharp lower bounds of this criterion on two- and three-level designs are also displayed. These lower bounds can serve as evaluation metrics for design uniformity and act as benchmarks in the construction of uniform designs. The construction of uniform designs based on absolute discrepancy is also discussed.