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A modified nonlinear conjugate gradient algorithm for unconstrained optimization and portfolio selection problems 无约束优化和投资组合选择问题的改进非线性共轭梯度算法
Pub Date : 2023-03-28 DOI: 10.1051/ro/2023037
T. Diphofu, P. Kaelo, A. Tufa
Conjugate gradient methods play a vital role in finding solutions of large-scale optimization problems due to their simplicity to implement, low memory requirements and as well as their convergence properties. In this paper, we propose a new conjugate gradient method that has a direction satisfying the sufficient descent property.  We establish global convergence of the new method under the strong Wolfe line search conditions. Numerical results show that the new method  performs better than other relevant methods in the literature. Furthermore, we use the new method to solve a portfolio selection problem.
共轭梯度法具有实现简单、内存要求低、收敛性好等优点,在求解大规模优化问题中发挥着重要作用。本文提出了一种新的共轭梯度法,其方向满足充分下降性质。在强Wolfe线搜索条件下,建立了新方法的全局收敛性。数值计算结果表明,该方法优于文献中已有的相关方法。此外,我们还将该方法用于解决投资组合选择问题。
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引用次数: 0
Optimal reinsurance and investment with a common shock and a random exit time 具有共同冲击和随机退出时间的最优再保险和投资
Pub Date : 2023-03-28 DOI: 10.1051/ro/2023036
Zhiping Chen, Peng Yang, Y. Gan
Under the mean-variance framework, we study the continuoustime optimal reinsurance and investment problem with a common shock and a random exit time. To describe the influence of the common shock, we propose a new interdependence mechanism between the insurance market and the financial market. It can reflect both the impact of the occurrence of a common shock and its influence degree on the two markets. Both the termination times of reinsurance and investment are random, and the random exit time is affected simultaneously by exogenous and endogenous random events. The insurer’s objective is to minimize the variance of her terminal wealth under a given level of expected terminal wealth. We derive the explicit optimal reinsurance-investment strategy by employing stochastic optimal control and Lagrange duality techniques. The influences of the market interdependence and the random exit time on the optimal strategy are demonstrated through numerical experiments. The results reveal some meaningful phenomena and provide insightful guidance for reinsurance and investment practice in reality.
在均值-方差框架下,研究了具有共同冲击和随机退出时间的连续时间最优再保险投资问题。为了描述共同冲击的影响,我们提出了一种新的保险市场与金融市场之间的相互依赖机制。它既可以反映共同冲击发生的影响程度,也可以反映其对两个市场的影响程度。再保险和投资的终止时间都是随机的,随机退出时间同时受到外生和内生随机事件的影响。保险公司的目标是在给定的预期终端财富水平下,使其终端财富的方差最小。利用随机最优控制和拉格朗日对偶技术,导出了明确的最优再保险投资策略。通过数值实验验证了市场相互依赖性和随机退出时间对最优策略的影响。研究结果揭示了一些有意义的现象,对现实中的再保险和投资实践具有指导意义。
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引用次数: 1
Decision support system for managing multi-echelon supply chain networks against disruptions using adaptive fractional order control algorithm 基于自适应分数阶控制算法的多级供应链网络中断管理决策支持系统
Pub Date : 2023-03-27 DOI: 10.1051/ro/2023035
Truong Ngoc Cuong, Hwan-Seong Kim, Le Ngoc Bao Long, S. You
Dynamical analysis and management optimization of supply chain system are explored by utilizing four-stage hyperchaotic Lorenz-Stenflo equation. The supply chain risks are represented by parametric variations and disturbance against disruptions. Nonlinear behaviors are intensely investigated by eigenvalue and bifurcation analysis to identify supply chain risks. Then phase portraits are presented to illustrate the bullwhip effect influencing various stages of multi-echelon supply chains. Along with dynamic identification, resilient supply chains have been developed by realizing an adaptive fractional-order controller. By employing control theory on managerial applications, efficient algorithm can be implemented for optimization problems while reducing potential volatility. Performance criteria have been exploited to validate the control methodology. Based on management algorithms, decision-makers cope with chaos suppression and synchronization problems effectively, ensuring sustainability and reliability. By utilizing control theory, the decision-making strategy can offer new insights into how to effectively manage digital supply chain networks against market volatility.
利用四阶段超混沌Lorenz-Stenflo方程对供应链系统的动力学分析和管理优化进行了探讨。供应链风险由参数变化和对中断的干扰来表示。利用特征值分析和分岔分析对供应链的非线性行为进行了深入的研究,以识别供应链的风险。在此基础上,通过阶段描述来说明牛鞭效应对多级供应链各阶段的影响。在动态辨识的基础上,实现了一种自适应分数阶控制器,发展了弹性供应链。将控制理论应用于管理应用中,可以有效地实现优化问题的算法,同时降低潜在的波动性。性能标准已被用来验证控制方法。基于管理算法,决策者有效应对混沌抑制和同步问题,保证可持续性和可靠性。通过运用控制理论,决策策略可以为如何有效管理数字供应链网络以应对市场波动提供新的见解。
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引用次数: 0
Architecture and modular design of power emergency command system based on association rule algorithm 基于关联规则算法的电力应急指挥系统体系结构及模块化设计
Pub Date : 2023-03-17 DOI: 10.1051/ro/2023031
Qian Wang, Mingming Liu
In order to effectively obtain the electric power emergency command plan and reasonably dispatch emergency resources, the electric power emergency command system architecture based on association rule algorithm is designed according to the modularization idea. In the hardware part, the sensing layer is used to collect operation data, and the service layer is used to analyze and mine the data. The tool layer establishes the basic component library and the power industry component library. The network layer transmits relevant information to the application layer. The application layer realizes the three-dimensional simulation and visual operation of power emergency command such as resource scheduling and fault repair by calling the tool set. In the software part, the association rule algorithm combined with online analytical processing technology is used to mine the effective data in the collected data set to realize the analysis and processing of emergency command related work. Experiments show that the system can effectively command the output of the generator and obtain higher transmission margin when the fault occurs. And reasonably and evenly dispatch emergency resources to avoid resource waste.
为了有效获取电力应急指挥计划,合理调度应急资源,根据模块化思想,设计了基于关联规则算法的电力应急指挥系统体系结构。在硬件部分,感知层用于采集操作数据,业务层用于分析和挖掘数据。工具层建立了基础组件库和电力工业组件库。网络层将相关信息传递给应用层。应用层通过调用工具集实现资源调度、故障修复等电力应急指挥的三维仿真和可视化操作。在软件部分,采用关联规则算法结合在线分析处理技术,对采集的数据集中的有效数据进行挖掘,实现应急指挥相关工作的分析处理。实验表明,该系统能有效地控制发电机输出,并在故障发生时获得较高的传输裕度。合理、均匀地调度应急资源,避免资源浪费。
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引用次数: 0
Multi-attribute group decision-making for solid waste management using interval-valued q-rung orthopair fuzzy COPRAS 基于区间值q-rung正交模糊COPRAS的固体废物管理多属性群决策
Pub Date : 2023-03-17 DOI: 10.1051/ro/2023033
Faizan Ahemad, Ahmad Zaman Khan, M. Mehlawat, Pankaj Gupta, Sankar Kumar Roy
In this paper, the COPRAS (Complex Proportional Assessment) method is ex- tended for interval-valued q-rung orthopair fuzzy numbers (IVq-ROFNs) to solve multi-attribute group decision-making (MAGDM) problems. A novel distance measure for IVq-ROFNs is proposed, and its properties are also probed. This distance measure is used in an improved weights determination method for decision-makers. A weighted projection optimization model is developed to evaluate the completely unknown attributes' weights. The projection of assessment values is defined by the positive and negative ideal solutions, which determine the resemblance between two objects by considering their directional angle. An Indian cities' ranking problem for a better solid waste management infrastructure is solved using the proposed approach based on composite indicators, like recycling waste, greenhouse gas emissions, waste generation, land filling waste, recycling rate, waste to energy rate, and composting waste. Numerical comparisons, sensitivity analysis, and other relevant analyses are performed for validation.
本文将COPRAS(复比例评价)方法扩展到区间值q-rung正形模糊数(IVq-ROFNs)中,以解决多属性群体决策(MAGDM)问题。提出了一种新的IVq-ROFNs距离度量方法,并对其性质进行了探讨。将此距离度量用于改进的决策者权重确定方法中。提出了一种加权投影优化模型来评估完全未知属性的权重。评价值的投影由正理想解和负理想解定义,通过考虑两个目标的方向角来确定它们之间的相似度。印度城市在更好的固体废物管理基础设施方面的排名问题,采用了基于综合指标的方法来解决,这些指标包括废物回收、温室气体排放、废物产生、填埋废物、回收率、废物能源利用率和堆肥废物。数值比较、敏感性分析和其他相关分析进行验证。
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引用次数: 0
Online promotion format selection for a supply chain with environment responsibility in an uncertain market 不确定市场下具有环境责任的供应链在线促销形式选择
Pub Date : 2023-03-17 DOI: 10.1051/ro/2023032
Qunli Wu, Xinxin Xu, Hengtian Wang, Y. Tian
Corporate environmental responsibility has received considerable attention, but how different online promotion formats and pricing sequences affect enterprises’ incentives in their fulfillment of environmental responsibilities and achievement of profitability has not yet been fully understood. In our study, we consider a supply chain in which a manufacturer invests in green technology to decrease the carbon footprint. The main issue addressed here is how the manufacturer selects the optimal online selling format between agency selling and reselling to ensure profitability with a lower carbon footprint. In an uncertain market with considering the pricing sequence in traditional channel and online channel, we explore six scenarios under the dual-channel promotion, and meanwhile discuss the benchmark scenario without introducing online promotion. The results show that the pricing sequence under agency selling format will not have any impact on the equilibrium green degree and pricing strategies, whereas it may result in a improved green degree in reselling format, even higher than it under the agency selling. Further- more, under the interaction of uncertain demand, pricing sequence and green technology investment, we reveal that the agent selling is not always superior to the reselling with a double-marginalization effect, which contrary to the general intuition. Specifically, in an optimistic market, the manufacture is more profitable in reselling format when the promotion price set in online channel prior to traditional channel, and in a pessimistic market, the opposite pricing sequence formulated will bring a considerable benefit to the manufacture.
企业的环境责任已经受到了相当大的关注,但不同的网络促销形式和定价顺序如何影响企业履行环境责任和实现盈利的激励还没有得到充分的了解。在我们的研究中,我们考虑一个制造商投资绿色技术以减少碳足迹的供应链。这里要解决的主要问题是制造商如何在代理销售和转售之间选择最佳的在线销售形式,以确保低碳足迹的盈利能力。在不确定的市场环境下,考虑传统渠道和在线渠道的定价顺序,探讨双渠道促销下的六种场景,同时讨论不引入在线促销的基准场景。结果表明,代理销售模式下的定价顺序对均衡绿色度和定价策略没有影响,而代理销售模式下的定价顺序可能会提高均衡绿色度,甚至高于代理销售模式下的绿色度。此外,在不确定需求、定价序列和绿色技术投资的相互作用下,我们发现代理销售并不总是优于代理转售,存在双重边缘化效应,这与一般的直觉相反。具体而言,在乐观市场中,当在线渠道的促销价格设定在传统渠道之前时,制造商在转售形式中更有利可图,而在悲观市场中,制定相反的定价顺序将为制造商带来相当大的利益。
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引用次数: 0
Steane code analysis by randomized benchmarking Steane代码分析随机基准
Pub Date : 2023-03-15 DOI: 10.1051/ro/2023030
A. Barbosa, F. Marquezino, R. Portugal
Quantum error correction codes (QECC) play a fundamental role in protecting the information processed in today’s noisy quantum computers. To build good error correction schemes, it is essential to understand how noise affects the behavior of these codes. In this research paper, we analyze Steane code, a 7-qubit QECC, using a randomized benchmarking (RB) protocol. With RB protocols, we can partially characterize the quality of implementation of a set of quantum gates. We show a scenario where Steane code with one logical qubit is advantageous compared to the situation with no quantum code. We obtained our results using a quantum simulator with custom noise models considering different numbers of noisy qubits.
量子纠错码(QECC)在保护当今嘈杂的量子计算机处理的信息方面发挥着重要作用。为了建立良好的纠错方案,有必要了解噪声如何影响这些码的行为。在本研究中,我们使用随机基准测试(RB)协议分析了7量子位QECC的Steane代码。使用RB协议,我们可以部分表征一组量子门的实现质量。我们展示了一个场景,其中具有一个逻辑量子比特的Steane代码比没有量子代码的情况更有利。我们使用具有自定义噪声模型的量子模拟器获得了我们的结果,考虑了不同数量的噪声量子位。
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引用次数: 0
The optimized gate recurrent unit based on improved evolutionary algorithm to predict stock market returns 基于改进进化算法的优化门循环单元预测股市收益
Pub Date : 2023-03-15 DOI: 10.1051/ro/2023029
Chao Liu, Fengfeng Gao, Qi Zhao, Mengwan Zhang
In order to accelerate the learning ability of neural network structure parameters and improve the prediction accuracy of deep learning algorithms, an evolutionary algorithm, based on a prior Gaussian mutation(PGM) operator, is proposed to optimize the structure parameters of a gated recurrent unit (GRU) neural network. In this algorithm, the sensitivity learning process of GRU model parameters into the Gaussian mutation operator, used the variance of the GRU model parameter training results as the Gaussian mutation variance to generate the optimal individual candidate set. Then, the optimal GRU neural network structure is constructed using the evolutionary algorithm of the prior Gaussian mutation operator. Moreover, the PGM-EA-GRU algorithm is applied to the prediction of stock market returns. Experiments show that the prediction model effectively overcomes the GRU neural network, quickly falling into a local optimum and slowly converging. Compared to the RF, SVR, RNN, LSTM, GRU, and EA-GRU benchmark models, the model significantly improves the searchability and prediction accuracy of the optimal network structure parameters. It also validates the effectiveness and the progressive nature of the PGM-EA-GRU model proposed in this paper with stock market return prediction.
为了加快神经网络结构参数的学习能力,提高深度学习算法的预测精度,提出了一种基于先验高斯突变算子(PGM)的进化算法来优化门控循环单元(GRU)神经网络的结构参数。在该算法中,将GRU模型参数的敏感性学习过程转化为高斯变异算子,以GRU模型参数训练结果的方差作为高斯变异方差生成最优个体候选集。然后,利用先验高斯变异算子的进化算法构造最优GRU神经网络结构;并将PGM-EA-GRU算法应用于股票市场收益预测。实验表明,该预测模型有效地克服了GRU神经网络,快速陷入局部最优,收敛速度慢。与RF、SVR、RNN、LSTM、GRU和EA-GRU基准模型相比,该模型显著提高了最优网络结构参数的可搜索性和预测精度。并对本文提出的PGM-EA-GRU模型在股票市场收益预测中的有效性和进步性进行了验证。
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引用次数: 0
Optimal pricing strategy of retailers considering speculative customers' add-on items return behavior with cross-store full-reduction promotion 考虑投机性顾客退货行为的零售商跨店全折促销最优定价策略
Pub Date : 2023-03-02 DOI: 10.1051/ro/2023028
S. Song, W. Peng, Y. Zeng
This purpose of the paper is to explore the optimal price strategy for the retailers under the cross-store full-reduction promotion mode, where speculative consumers will deliberately purchase add-on items to qualify for discounts when the purchase amount is less than the “full-reduction” threshold and then return the add-on items after successful payment. With respect to the optimal decision problem consisting of two online complementary retailers and an e-commerce platform in the face of speculative consumers’ add-on items return behavior, we construct the single-cycle sales decision models based on the revenue sharing contract. Furthermore, through the derivative function analysis method, we examine the effect of the proportion of speculative consumers, the proportion of product sharing discount amount and revenue sharing coefficient on the platform’s sale strategy and the retailers’ the optimal price strategy. The results show that whether the platform implements cross-store full-reduction promotion strategy or not, the product price increases with the increase of revenue sharing coefficient. In addition, under the non-promotion sales mode, the optimal price is not affected by the speculative consumers’ behavior. Under the cross-store full-reduction promotion sales mode, the optimal price changes with the proportion of product sharing discount amount and the proportion of speculative consumers. And the price of only purchasing single product in this case is always higher than the price under the non-promotion sales mode. Finally, we compare the profits under the two scenarios, it is found that the profits under the cross-store full-reduction promotion sales mode are not always higher than that under non-promotion sales mode, and the boundary conditions for the platform to adopt different modes are further given.
本文的目的是探讨零售商在跨店全折促销模式下的最优价格策略。在跨店全折促销模式下,投机消费者会在购买金额低于“全折”门槛时故意购买附加商品以获得折扣,然后在付款成功后将附加商品退回。针对两个在线互补零售商和一个电子商务平台面对投机性消费者附加商品退货行为的最优决策问题,构建了基于收益共享契约的单周期销售决策模型。进一步,通过导数函数分析方法,考察投机消费者比例、产品共享折扣金额比例和收益共享系数对平台销售策略和零售商最优价格策略的影响。结果表明,无论平台是否实施跨店全价促销策略,产品价格都随着收益分成系数的增加而增加。此外,在非促销销售模式下,最优价格不受消费者投机行为的影响。在跨店全减促销模式下,最优价格随产品共享折扣金额比例和投机消费者比例变化。在这种情况下,只购买单一产品的价格总是高于非促销销售模式下的价格。最后,对比两种场景下的利润,发现跨店全降促销销售模式下的利润并不总是高于非促销销售模式下的利润,并进一步给出了平台采用不同模式的边界条件。
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引用次数: 0
An integrated approach for the merger of small and medium-sized industrial units 中小工业单位兼并的一体化方式
Pub Date : 2023-03-02 DOI: 10.1051/ro/2023027
Haniyeh Moazeni, B. A. Shirani, Seyed Reza Hejazi
this study considers the importance of small and medium-sized industrial units for economic growth, social cohesion, and regional and local development. It presents a merger model to use each other's capacities and facilities to achieve higher efficiency levels. First, the involved criteria have been chosen using the SCOR model, considering sustainability, resilience and agility criteria in each part of the supply chain network. Next, PCA was used to reduce the dimensionality and the efficiency of units has been determined by network DEA. A mathematical model was used to determine the best combination for the merger. The model chosen for the finalization of the merger process is inverse network DEA, which tries to determine the final inputs of the merged units for a specific target. In addition to theoretical benefits, the results have practical applications. The results can give supply chain partners a common language for better communication and help them settle on standardized definitions. The model has been implemented using real-world data from other articles on 26 stone industries in Iran. The DEA and mathematical models have been solved through GAMS and the PCA approach through MATLAB.
本研究考虑了中小型工业单位对经济增长、社会凝聚力以及区域和地方发展的重要性。它提出了一种合并模式,利用彼此的能力和设施来实现更高的效率水平。首先,使用SCOR模型选择所涉及的标准,考虑供应链网络每个部分的可持续性,弹性和敏捷性标准。其次,采用主成分分析法进行降维,并用网络DEA确定单元效率。一个数学模型被用来确定并购的最佳组合。最终确定合并过程的模型是逆网络DEA,它试图确定合并单元对特定目标的最终输入。除了理论效益外,研究结果还具有实际应用价值。研究结果可以为供应链合作伙伴提供一种通用语言,以便更好地沟通,并帮助他们确定标准化的定义。该模型使用来自伊朗26个石材行业的其他文章的真实数据来实现。通过MATLAB通过GAMS和PCA方法对DEA和数学模型进行求解。
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引用次数: 0
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RAIRO Oper. Res.
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