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An integrated vendor-buyer model with sustainability and remanufacturing of returned product 可持续发展的综合供应商-买家模式和退回产品的再制造
Pub Date : 2024-05-15 DOI: 10.1051/ro/2024104
Magfura Pervin, Asim Paul, Sankar Kumar Roy, Dharma Lesmono, Leonidas Sakalauskas
Carbon emission reduction is very crucial nowadays. A proper balance is required for carbon emission reduction and burning of fossils fuels because during fossil fuel burning carbon is emitted and it is essential for industrialization. This study presents an inventory model with green technology where production of new items and remanufacturing of returned items are allowed. Remembering the present global situation, the ordering cost is assumed as variable cost which contain order cancellation and reorder cost. Online order policy is considered with quality of product and a return rate. Keeping in mind the social, economic and environmental aspects, the demand function is considered as sustainability sensitive demand. A nonlinear model is designed based on the above concepts. The model is solved both theoretically and analytically. The main motives of the work are to find the effects of ordering cost, carbon emission cost and green technology investment on the inventory model for suggesting the best policy to the inventory manager. Sensitivity analysis is performed to validate the model. The numerical results prove that ignoring ordering cost, carbon emission cost and green technology investment can lead to a false optimal solution and this can be a huge economical loss for the inventory manager. The results also prove that a sustainable model with carbon emission and green technology investment is more realistic and profitable in compare with the other existing models.
如今,减少碳排放至关重要。减少碳排放和燃烧化石燃料需要适当的平衡,因为燃烧化石燃料时会排放碳,而碳对工业化至关重要。本研究提出了一个采用绿色技术的库存模型,允许生产新物品和对退回物品进行再制造。考虑到当前的全球形势,订购成本被假定为可变成本,其中包含订单取消和再订购成本。在线订单政策考虑了产品质量和退货率。考虑到社会、经济和环境因素,需求函数被视为对可持续性敏感的需求。根据上述概念设计了一个非线性模型。该模型可通过理论和分析方法求解。这项工作的主要动机是找出订货成本、碳排放成本和绿色技术投资对库存模型的影响,从而为库存管理者提出最佳政策建议。为验证模型,还进行了敏感性分析。数值结果证明,忽略订购成本、碳排放成本和绿色技术投资会导致错误的最优解,从而给库存管理者带来巨大的经济损失。结果还证明,与其他现有模型相比,包含碳排放和绿色技术投资的可持续模型更现实、更有利可图。
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引用次数: 0
On diagonally structured scheme for nonlinear least squares and data-fitting problems 关于非线性最小二乘法和数据拟合问题的对角结构方案
Pub Date : 2024-05-15 DOI: 10.1051/ro/2024102
Mahmoud Muhammad Yahaya, P. Kumam, P. Chaipunya, Aliyu Muhammed Awwal, Lin Wang
Recently, structured nonlinear least-squares (NLS) based algorithms gained considerable emphasis from researchers; this attention may result from increasingly applicable areas of these algorithms in different science and engineering domains. In this article, we coined a new efficient structured-based NLS algorithm. We developed a diagonal Hessian-based formulation for solving NLS problems. We derived the quasi-Newton update based on a diagonal matrix scheme subject to a modified structured secant condition. Also, we show that the algorithm search direction satisfies a sufficient descent condition under some standard assumptions. Subsequently, we also prove the global convergence of the algorithm and then eventually show the linear convergence rate for strongly convex functions. Furthermore, we numerically experimented with the proposed algorithm on benchmark test functions available in the literature. Finally, in the scheme, we apply the method to solve some data-fitting problems.
最近,基于结构化非线性最小二乘法(NLS)的算法受到了研究人员的广泛关注;这种关注可能是由于这些算法在不同科学和工程领域的应用越来越广泛。在本文中,我们提出了一种新的基于结构的高效 NLS 算法。我们为解决 NLS 问题开发了一种基于对角 Hessian 的公式。我们在对角矩阵方案的基础上推导出了准牛顿更新算法,该算法受制于修改后的结构化秒条件。同时,我们还证明了在一些标准假设条件下,算法搜索方向满足充分下降条件。随后,我们还证明了算法的全局收敛性,并最终证明了强凸函数的线性收敛率。此外,我们还在文献中的基准测试函数上对所提出的算法进行了数值实验。最后,在方案中,我们应用该方法解决了一些数据拟合问题。
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引用次数: 0
The cost bearing mechanism for advertising in a capital-constrained supply chain 资本受限供应链中的广告成本承担机制
Pub Date : 2024-05-15 DOI: 10.1051/ro/2024105
Hongping Li, Han Zheng, Yang Xu
With rising market competition, increasing numbers of firms are launching adverting to attract customers and promote product sales. The increase in operating costs caused by advertising places greater pressure on small retail businesses that are prone to capital shortages, leading them to seek financing from upstream firms. However, in the financing process, upstream and downstream firms may not be able to acquire all of one another's real information, which inevitably has a significant impact on their operating strategies. In this paper, by constructing a Stackelberg game, we study the effects of information asymmetry on the retailer's initial capital and the manufacturer's financing rate on their advertising strategies. We find that in a capital-constrained supply chain with symmetric information, when the advertising cost coefficient is low, manufacturer advertising is the superior strategy and increases the profits of the retailer and the manufacturer, consumer surplus and social welfare; when it is moderate, retailer advertising is the superior policy; but when it is high, retailer advertising is more beneficial for the manufacturer's profit, consumer surplus and social welfare but is more unfavorable for the retailer's profit. In addition, information asymmetry on the manufacturer's financing rate affects the advertising strategies of the manufacturer and the retailer, but information asymmetry on the retailer's initial capital fails. Additionally, we further extend the model to the Nash game scenario and cooperative advertising  scenario and draw some different conclusions. The findings provide new theoretical implications for the formulation of firm advertising strategies.
随着市场竞争的加剧,越来越多的企业开始投放广告来吸引顾客,促进产品销售。广告带来的经营成本增加,给容易出现资金短缺的小型零售企业带来了更大的压力,导致他们不得不向上游企业寻求融资。然而,在融资过程中,上下游企业可能无法获取彼此的全部真实信息,这必然会对其经营策略产生重大影响。本文通过构建斯塔克尔伯格博弈,研究了信息不对称对零售商初始资本和制造商融资利率对其广告策略的影响。我们发现,在资本受限、信息对称的供应链中,当广告成本系数较低时,制造商的广告策略更优,能增加零售商和制造商的利润、消费者剩余和社会福利;当广告成本系数适中时,零售商的广告策略更优;但当广告成本系数较高时,零售商的广告策略对制造商的利润、消费者剩余和社会福利更有利,但对零售商的利润更不利。此外,制造商融资利率的信息不对称会影响制造商和零售商的广告策略,但零售商初始资本的信息不对称则不会。此外,我们还将模型进一步扩展到纳什博弈情景和合作广告情景,并得出了一些不同的结论。这些结论为企业广告策略的制定提供了新的理论依据。
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引用次数: 0
Transient analysis of a bulk stream queue with arbitrarily distributed arrival intervals 具有任意分布的到达时间间隔的批量流队列的瞬态分析
Pub Date : 2024-05-15 DOI: 10.1051/ro/2024107
Ashwini Soundararajan, F. P Barbhuiya
We study the classical infinite buffer single server queueing model with renewal input of customers in batches of random size, having arbitrarily distributed arrival intervals and exponentially distributed service times. Using the technique of supplementary variable and shift operator we derive closed form expression of the time dependent system content distribution in terms of its Laplace transform. The analysis is mainly based on the root-finding technique of the non-linear characteristic equation in terms of the Laplace transform variable. Additionally, using asymptotic properties of Laplace transform, we deduce the corresponding steady-state distribution. We discuss some special cases of the model, thus providing an alternative approach in deriving the transient distribution. We further evaluate certain performance measures and present extensive numerical examples in tabular and graphical form to illustrate the applicability of our theoretical work. The effect of system parameters, interarrival time distribution and traffic intensity on the system behavior is also demonstrated.
我们研究了经典的无限缓冲区单服务器排队模型,该模型的客户更新输入为随机大小的批次,具有任意分布的到达时间间隔和指数分布的服务时间。利用补充变量和移位算子技术,我们用拉普拉斯变换推导出与时间相关的系统内容分布的封闭式表达式。分析主要基于拉普拉斯变换变量非线性特征方程的寻根技术。此外,我们还利用拉普拉斯变换的渐近特性,推导出相应的稳态分布。我们讨论了模型的一些特殊情况,从而为推导瞬态分布提供了另一种方法。我们进一步评估了某些性能指标,并以表格和图形的形式给出了大量的数值示例,以说明我们理论工作的适用性。我们还展示了系统参数、到达时间分布和交通强度对系统行为的影响。
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引用次数: 0
A simulation-based DEA approach for multiple criterion decision-making problems with uncertain mixed-criteria values 针对具有不确定混合标准值的多标准决策问题的基于模拟的 DEA 方法
Pub Date : 2024-05-15 DOI: 10.1051/ro/2024113
Shiling Song, Ye Zhang, Jianhui Xie, Sheng Ang, Feng Yang
In ex-ante decision scenarios, predicting criterion values accurately is difficult for decision makers (DMs). Inconsiderable work is normally required for measuring criteria by uncertain random values or ordinal values. However, in the classical data envelopment analysis (DEA) model, criterion values are the constants that limit the application of the classical DEA model in ex-ante decision scenarios. This paper presents a simulation-based DEA approach, which captures random and ordinal criterion values by a simple and direct simulation-based approach. The approach includes three steps. In the first step, Monte Carlo simulation methods are used to convert uncertain random values or ordinal values into cardinal data. In the second step, we use traditional DEA methods to compute the efficiency score of decision-making units (DMUs). In the third step, we ranked all DMUs by calculating the DEA-efficient acceptability of each DMU in multiple simulations and then selected the optimal DMU. The proposed approach is illustrated by experimental examples and a case study of a municipal wastewater treatment system.
在事前决策情景中,决策者(DMs)很难准确预测标准值。用不确定的随机值或序数值来衡量标准值通常需要做大量的工作。然而,在经典数据包络分析(DEA)模型中,标准值是常量,这限制了经典 DEA 模型在事前决策场景中的应用。本文提出了一种基于模拟的 DEA 方法,通过简单直接的模拟方法捕捉随机和序数标准值。该方法包括三个步骤。第一步,使用蒙特卡洛模拟方法将不确定的随机值或序数值转换为心数数据。第二步,我们使用传统的 DEA 方法计算决策单元(DMU)的效率得分。第三步,通过多次模拟计算每个 DMU 的 DEA 效率可接受性,对所有 DMU 进行排序,然后选出最优 DMU。我们通过实验示例和一个城市污水处理系统的案例研究对所提出的方法进行了说明。
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引用次数: 0
Spectral properties of sombor matrix of threshold graphs 阈值图的松博矩阵谱特性
Pub Date : 2024-05-15 DOI: 10.1051/ro/2024111
Bilal Ahmad RATHER, Muhammad Imran, Zahid Raza, Fozia Bashir Farooq
We investigate the Sombor spectral properties of threshold graphs, a formula for the Sombor index is presented, the Sombor eigenvalues are given, graphs with simple Sombor eigenvalues are characterized, bounds on the smallest/largest Sombor eigenvalues are presented, the multiplicities of the Sombor eigenvalues, formulae for trace and determinant of the associated quotient matrix are given, the Sombor spread bound and the bounds on the Sombor energy along with the characterization of extremal graphs. At the end, the conclusion states that all our results are valid for adjacency matrix and other adjacency type matrices.
我们研究了阈值图的松博频谱特性,给出了松博指数公式,给出了松博特征值,描述了具有简单松博特征值的图的特征,给出了最小/最大松博特征值的边界,松博特征值的乘数,给出了相关商矩阵的迹和行列式,松博扩散边界和松博能量边界以及极值图的特征。最后,结论指出我们的所有结果都适用于邻接矩阵和其他邻接类型矩阵。
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引用次数: 0
Cost-sharing incentive for collaborative innovation between main manufacturer-core supplier based on risk factorsCost-sharing incentive for collaborative innovation between main manufacturer-core supplier based on risk factors 基于风险因素的主要制造商-核心供应商协同创新成本分担激励机制基于风险因素的主要制造商-核心供应商协同创新成本分担激励机制
Pub Date : 2024-05-15 DOI: 10.1051/ro/2024112
yuchen wang, zilong wang, Hechang Cai
This paper considers the “main manufacturer-supplier” model in collaborative cooperation among firms which requires the leader to invest significant resources and bear huge risks. However, few scholars simultaneously consider innovation risks and incentive issues under the model. We construct a Stackelberg game incentive model with different cost-sharing ratios under the risk of technological innovation. We characterize the equilibrium of the model and highlight the key role played by the main manufacturer and supplier. The results are as follows: (a) Main manufacturer can implement the cost-sharing incentive strategy under certain conditions, which is, its profit coefficient is greater than 0.75 times that of supplier and the cost-sharing ratio’s expected coefficient is greater than the minimum threshold. (b) The optimal cost-sharing ratio is directly proportional to the profit coefficient of the main manufacturer, inversely proportional to that of the supplier, and shows an inverted U-shape function with the probability of successful technological innovation. (c)This strategy can motivate suppliers to invest more resources, reduce the investment of the main manufacturer, simultaneously increase the profits of the main manufacturer and supplier in the certain ranges of innovation success probability and profit coefficients, with significant incentive effects.
本文探讨了企业间合作中的 "主制造商-供应商 "模式,该模式要求领导者投入大量资源并承担巨大风险。然而,很少有学者同时考虑该模式下的创新风险和激励问题。我们构建了技术创新风险下不同成本分摊比例的斯塔克尔伯格博弈激励模型。我们描述了模型的均衡特征,并强调了主要制造商和供应商所扮演的关键角色。结果如下(a) 主制造商可以在一定条件下实施成本分摊激励战略,即其利润系数大于供应商的 0.75 倍,且成本分摊比率的预期系数大于最小临界值。(b) 最佳成本分摊比率与主制造商的利润系数成正比,与供应商的利润系数成反比,并与技术创新成功的概率呈倒 U 型函数关系。(c) 在一定的创新成功概率和利润系数范围内,该策略可以激励供应商投入更多资源,减少主制造商的投资,同时增加主制造商和供应商的利润,具有显著的激励效果。
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引用次数: 0
Graphs obtained by disjoint unions and joins of cliques and stable sets 由小块和稳定集的不相交联合和连接得到的图
Pub Date : 2024-05-15 DOI: 10.1051/ro/2024108
Alain Hertz
We consider the set of graphs that can be constructed from a one-vertex graph by repeatedly adding a clique or a stable set linked to all or none of the vertices added in previous steps. This class of graphs contains various well-studied graph families such as threshold, domishold, co-domishold and complete multipartite graphs, as well as graphs with linear clique-width at most 2. We show that it can be characterized bythree forbidden induced subgraphs as well as by properties involving maximal stable sets and minimal dominating sets. We also give a simple recognition algorithm and formulas for the computation of the stability and domination numbers of these graphs.
我们考虑的是这样一组图:通过重复添加与之前步骤中添加的全部或全部顶点相连的一个簇或一个稳定集,可以从一个单顶点图构造出一组图。这一类图包含各种研究得很透彻的图族,如阈值图、穹顶图、共穹顶图和完全多方图,以及线性簇宽度最多为 2 的图。我们还给出了一种简单的识别算法以及计算这些图的稳定性和支配数的公式。
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引用次数: 0
Early entrant's strategy for cooperating with a competing fourth-party platform 早期进入者与竞争性第四方平台的合作战略
Pub Date : 2024-05-07 DOI: 10.1051/ro/2024101
Wen Xin, Jun Lin
By integrating several third-party platforms that enter the market late (later entrants), a fourth-party platform can effectively compete with the third-party platform that enters the market early (early entrant). Our research develops an analytical framework to address the platform coopetition problem that the early entrant faces, i.e., integrating its service into the fourth-party platform or not, when there is a fourth-party platform in the market. This study provides optimal conditions and platform decisions for platform coopetition and then explores the impact of the implementation of the coopetition strategy on platform prices and consumer demands. Our analytical results show that the coopetition strategy is effective only when the sum of the strengths of direct and indirect network effects is low and the quality difference between the early and later entrants is higher than a certain threshold. Moreover, the early entrant always partially integrates its service into the fourth-party platform when the coopetition strategy is adopted. Such adoption always lowers the prices of the early and later entrants. The implementation of the coopetition strategy always increases the total consumer demand of the early entrant, but it also results in a reduction in the number of consumers in the standalone application of the early entrant.
通过整合晚期进入市场的多个第三方平台(后进入者),第四方平台可以有效地与早期进入市场的第三方平台(早期进入者)竞争。我们的研究建立了一个分析框架,以解决早期进入者面临的平台合作竞争问题,即当市场上存在第四方平台时,是否将其服务整合到第四方平台中。本研究提供了平台合作竞争的最优条件和平台决策,然后探讨了合作竞争策略的实施对平台价格和消费者需求的影响。我们的分析结果表明,只有当直接和间接网络效应的强度之和较低,且先进入者和后进入者之间的质量差异大于某个临界值时,合作竞争策略才会有效。此外,在采用合作竞争战略时,先进入者总是将其服务部分整合到第四方平台中。这种做法总会降低先进入者和后进入者的价格。合作竞争战略的实施总是会增加早期进入者的总消费需求,但也会导致早期进入者独立应用的消费者数量减少。
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引用次数: 0
Prediction method for power fluctuations in cross regional consumption and transportation under the integration of new energy 新能源融合下跨区域消费和运输的电力波动预测方法
Pub Date : 2024-05-07 DOI: 10.1051/ro/2024099
Yajie Li, Tao Wang, Shuting Chen, Xinmiao Hu, Rui Yin, Jun Yan
Against the backdrop of the increasing development of the new energy industry, the volatility of new energy output poses significant challenges to regional power grid balance and energy absorption. Therefore, this article proposes a prediction method for cross regional transmission power fluctuations under new energy integration conditions. A comprehensive and representative sample dataset was constructed by comprehensively considering factors such as fluctuations in new energy output, capacity confidence, and peak shaving characteristic parameters, combined with numerical weather forecast data. Normalize the sample data to eliminate dimensional differences between parameters. The sparrow search algorithm is used to optimize the weights and thresholds of the double hidden layer BP neural network, effectively avoiding local optimization problems caused by over training. The experimental results show that this method has significant advantages in predicting power fluctuations in cross regional absorption and transportation of new energy, with a predicted power to power ratio of over 0.85.
在新能源产业日益发展的背景下,新能源输出的波动性对区域电网平衡和能源消纳提出了重大挑战。因此,本文提出了新能源一体化条件下跨区输电功率波动预测方法。综合考虑新能源出力波动、容量置信度、调峰特性参数等因素,结合数值天气预报数据,构建了具有代表性的综合样本数据集。对样本数据进行归一化处理,消除参数之间的维度差异。采用麻雀搜索算法优化双隐层 BP 神经网络的权值和阈值,有效避免了过度训练导致的局部优化问题。实验结果表明,该方法在预测新能源跨区消纳和输送过程中的功率波动方面具有显著优势,预测功率与功率比超过 0.85。
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引用次数: 0
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RAIRO - Operations Research
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