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Pareto-optimal front generation for the bi-objective JIT scheduling problems with a piecewise linear trade-off between objectives 双目标 JIT 调度问题的帕累托最优前沿生成,目标之间存在片断线性权衡
IF 2.5 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-02-17 DOI: 10.1016/j.orp.2024.100299
Sona Babu, B.S. Girish

This paper proposes a novel method of Pareto front generation from a set of piecewise linear trade-off curves typically encountered in bi-objective just-in-time (JIT) scheduling problems. We have considered the simultaneous minimization of total weighted earliness and tardiness (TWET) and total flowtime (TFT) objectives in a single-machine scheduling problem (SMSP) with distinct job due dates allowing inserted idle times in the schedules. An optimal timing algorithm (OTA) is presented to generate the trade-off curve between TWET and TFT for a given sequence of jobs. The proposed method of Pareto front generation generates a Pareto-optimal front constituted of both line segments and points. Further, we employ a simple local search method to generate sequences of jobs and their respective trade-off curves, which are trimmed and merged to generate the Pareto-optimal front using the proposed method. Computational results obtained using problem instances of different sizes reveal the efficiency of the proposed OTA and the Pareto front generation method over the state-of-the-art methodologies adopted from the literature.

本文提出了一种新方法,即从双目标及时调度(JIT)问题中通常会遇到的一组片断线性权衡曲线中生成帕累托前沿。我们考虑了在单机调度问题(SMSP)中同时最小化总加权提前和延迟(TWET)目标和总流动时间(TFT)目标的问题,该问题具有不同的作业到期日,允许在调度中插入空闲时间。本文提出了一种最佳时间算法 (OTA),用于生成给定作业序列中 TWET 和 TFT 之间的权衡曲线。所提出的帕累托前沿生成方法可生成由线段和点构成的帕累托最优前沿。此外,我们还采用了一种简单的局部搜索方法来生成工作序列及其各自的权衡曲线,并利用所提出的方法对这些曲线进行修剪和合并,从而生成帕累托最优前沿。利用不同大小的问题实例获得的计算结果显示,与文献中采用的最先进方法相比,建议的 OTA 和帕累托前沿生成方法非常高效。
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引用次数: 0
The decrease of ED patient boarding by implementing a stock management policy in hospital admissions 通过在入院时实施库存管理政策,减少急诊室病人的登机人数
IF 2.5 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-02-09 DOI: 10.1016/j.orp.2024.100298
Sebastián Jaén

The presence of congestion is a common scenario in tertiary-level hospitals worldwide. Current research suggests that an increase in hospital bed capacity is not a long-term solution given that patient demand adapts to added capacity. Recent literature suggests the need for the implementation of a policy of inter-hospital transfers to divert patients to outpatient priority services or home care. This policy has proven to be effective in reducing ED boarding without compromising patient safety. However, determining the required number of patients to be admitted is key. The dynamic nature of hospital bed availability and discharges requires an admission process able to be in synchrony with those variations. A mismatch between patient demand and hospital admissions will result in either ED boarding or idle capacity. The purpose of this paper is to introduce a methodology to support the process of hospital admissions by providing as an input a threshold for the number of patients to be admitted. The methodology is tested using a system dynamics model that replicates one year of operations of a tertiary-level hospital. The simulations reveal the potential of the methodology to decrease the ED inpatient boarding rate as well as ED and hospital length of stay.

拥堵是全球三级医院的普遍现象。目前的研究表明,增加医院床位并不是长久之计,因为病人的需求会适应增加的床位。最近的文献表明,有必要实施医院间转院政策,将病人分流到门诊优先服务或家庭护理。事实证明,这一政策能有效减少急诊室的住院人数,同时又不影响患者的安全。然而,确定需要收治的病人数量是关键。医院床位供应和出院情况的动态性质要求入院流程能够与这些变化保持同步。如果病人需求与医院收治人数不匹配,就会导致急诊室住院人数过多或容量闲置。本文旨在介绍一种方法,通过提供待收治病人数量的阈值作为输入,支持医院的收治流程。本文使用一个系统动力学模型对该方法进行了测试,该模型复制了一家三级医院一年的运营情况。模拟结果表明,该方法有可能降低急诊室住院病人寄宿率,缩短急诊室和医院的住院时间。
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引用次数: 0
Sustainability inventory management model with warm-up process and shortage 带有预热过程和短缺的可持续性库存管理模型
IF 2.5 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-02-08 DOI: 10.1016/j.orp.2024.100297
Erfan Nobil , Leopoldo Eduardo Cárdenas-Barrón , Dagoberto Garza-Núñez , Gerardo Treviño-Garza , Armando Céspedes-Mota , Imelda de Jesús Loera-Hernández , Neale R. Smith , Amir Hossein Nobil

Fast-paced markets require complex interactions from all supply-chain agents to satisfy customer demands and needs. The manufacturing industries face some difficulties in terms of production amounts and smooth delivery rates. Technical experts found that a warm-up period before a production run helps address those challenges and improves the workability of machine tools in the manufacturing process. The use of a warm-up process causes a reduction of faulty products (an adverse production outcome) and improves operational efficiency. Also, a shortage in the supply of commodities creates difficult conditions for inventory management decisions, posing the same production problems as mentioned above. Consideration of the warm-up process has recently been included in the scope of operations research, but it is necessary to study its interaction with the presence of shortage. This study presents a system where a manufacturing environment utilizes the warm-up process in its initial phase and shortages are allowed during the production period, in addition, the study takes into account carbon emissions during manufacturing to integrate environmental concerns. We assume that the company has the capability to trade the surplus carbon capacity it hasn't produced. This study offers a comprehensive framework that incorporates former research that addresses warm-up process, carbon emissions, shortages, and defective items. To solve the proposed non-linear programming problem with inequality constraints, we employ the Karush-Kuhn-Tucker (KKT) conditions method to determine the optimal solutions. Managerial insights are derived, and sensitivity analysis highlights the effects of the system parameters on the decision variables. The sensitivity analysis results indicate that the carbon trading cost has a significant impact on the overall cost, and subsequently, the company's profit.

快节奏的市场要求所有供应链代理进行复杂的互动,以满足客户的需求。制造业在生产量和平稳交付率方面面临一些困难。技术专家发现,生产运行前的预热期有助于解决这些难题,并提高机床在制造过程中的工作性能。使用预热过程可以减少次品(一种不利的生产结果),提高运行效率。此外,商品供应短缺也会给库存管理决策带来困难,造成上述同样的生产问题。对预热过程的考虑最近已被纳入运筹学研究范围,但有必要研究其与短缺的相互作用。本研究提出了一个系统,在该系统中,生产环境在初始阶段利用了预热过程,并允许在生产期间出现短缺,此外,本研究还考虑了生产过程中的碳排放,以整合环境问题。我们假设公司有能力交易未生产的剩余碳容量。本研究提供了一个综合框架,其中包含了之前针对预热过程、碳排放、短缺和次品等问题的研究。为了解决所提出的带有不等式约束的非线性编程问题,我们采用了卡鲁什-库恩-塔克(KKT)条件法来确定最优解。我们得出了管理启示,并通过敏感性分析强调了系统参数对决策变量的影响。敏感性分析结果表明,碳交易成本对总体成本有重大影响,进而影响公司利润。
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引用次数: 0
Introduction to the SI “Advances in operations research and machine learning focused on pandemic dynamics” SI“专注于流行病动力学的运筹学和机器学习进展”简介
IF 2.5 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-12-01 DOI: 10.1016/j.orp.2023.100287
Massimiliano Ferrara , Ali Ahmadian , Soheil Salashour , Bruno Antonio Pansera
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引用次数: 0
Deep reinforcement learning based medical supplies dispatching model for major infectious diseases: Case study of COVID-19 基于深度强化学习的重大传染病医疗物资调度模型——以2019冠状病毒病为例
IF 2.5 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-12-01 DOI: 10.1016/j.orp.2023.100293
Jia-Ying Zeng , Ping Lu , Ying Wei , Xin Chen , Kai-Biao Lin

Stockpiling and scheduling plans for medical supplies represent essential preventive and control measures in major public health events. In the face of major infectious diseases, such as the novel coronavirus disease (COVID-19), the outbreak trend and variability of disease strains are often unpredictable. Hence, it is necessary to optimally adjust the prevention and control dispatching strategy according to the circumstances and outbreak locations to maintain economic development while ensuring the human health survival, however, many models in this scenario seldom consider the dynamic material prediction and the measurement of multiple costs at the same time. Taking the COVID-19 scenario as a case study, we establish a deep reinforcement learning (DRL)-based medical supplies dispatching (MSD) model for major infectious diseases, considering the volatility of the COVID-19 situation and the discrepancy between medical material demand and supply due to the high infectiousness of the Omicron series strains. The present model has three main components: 1) First, for the dynamic medical material prediction problem in complex infectious disease scenarios, taking the lifted COVID-19 lockdown scenario as an example, the modified susceptible-exposed-infected-recovered (SEIR) model was utilized to analyze the spread of the COVID-19, understand its characteristics, and map out the related medical supplies demand; 2) Second, to break away from the previous premise of only considering supply-demand, this study adds scheduling rules and cost function that weighs health and economic costs. An epidemic dispatching optimization model (Epi_DispatchOptim) was established using the OpenAI Gym toolkit to form an environment structure with virus transmission space, and emergency MSD while considering both human health and economic costs. This architecture interprets the balance between the supply-demand of medical supplies and reflects the importance of MSD in the balanced development of health and economy under the spread of infectious diseases; 3) Finally, the MSD strategy under the balance of health and economic cost is explored in Epi_DispatchOptim using reinforcement learning (RL) and the evolutionary algorithm (EA). Experiments conducted on two datasets indicate that the RL and EA reduce economic as well as health costs compared to the original environmental strategies. The above study illustrates how to use epidemiological models to predict the demand for healthcare supplies as the premise of scheduling models, and use Epi_DispatchOptim to explore the dynamic MSD decisions under mortality and economic equilibrium. In Shanghai, China, the economic cost of the exploration strategy is reduced by 27.36–27.07B compared to static scheduling, and deaths are reduced by 126–150 in 150 day compared to the no-intervention scenario. By integrating knowledge of epidemiology, optimal decision making, and economics, Epi_DispatchOptim further constructs epidemiologica

医疗用品的储存和调度计划是重大公共卫生事件中必不可少的预防和控制措施。面对新型冠状病毒病(COVID-19)等重大传染病,疾病毒株的爆发趋势和变异往往是不可预测的。因此,在保证人类健康生存的同时,需要根据具体情况和疫情发生地对防控调度策略进行优化调整,但这种情况下的许多模型很少同时考虑动态物质预测和多重成本的测量。以新冠肺炎疫情为例,考虑新冠肺炎疫情的波动性和欧米克隆系列菌株高传染性导致的医疗物资供需差异,建立了基于深度强化学习(DRL)的重大传染病医疗物资调度模型。该模型主要由三个部分组成:1)首先,针对复杂传染病场景下的动态物资预测问题,以新冠肺炎解除封锁场景为例,利用改进的易感暴露感染恢复(SEIR)模型分析新冠肺炎的传播情况,了解疫情特征,规划相关医疗物资需求;2)其次,打破了以往只考虑供需的前提,增加了调度规则和权衡健康成本和经济成本的成本函数。利用OpenAI Gym工具包建立疫情调度优化模型Epi_DispatchOptim,在考虑人类健康和经济成本的情况下,形成病毒传播空间和应急MSD的环境结构。这一体系结构诠释了医疗用品供需平衡,反映了传染病传播下MSD在卫生与经济平衡发展中的重要性;3)最后,利用强化学习(RL)和进化算法(EA)探讨了Epi_DispatchOptim在健康和经济成本平衡下的MSD策略。在两个数据集上进行的实验表明,与原始环境策略相比,RL和EA降低了经济和健康成本。本文以流行病学模型预测医疗物资需求为调度模型的前提,利用Epi_DispatchOptim研究死亡率和经济均衡下的动态MSD决策。在中国上海,与静态调度相比,该勘探策略的经济成本降低了27.36-27.07B,与不干预方案相比,150天内死亡人数减少了126-150人。Epi_DispatchOptim通过整合流行病学、最优决策和经济学知识,进一步构建流行病学模型、成本函数、状态-行动空间等模块,帮助公共卫生决策者在重大公共卫生事件中采取适当的MSD策略。
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引用次数: 0
Early detection of students’ failure using Machine Learning techniques 使用机器学习技术早期发现学生的失败
IF 2.5 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-11-20 DOI: 10.1016/j.orp.2023.100292
Aarón López-García , Olga Blasco-Blasco , Marina Liern-García , Sandra E. Parada-Rico

The educational system determines one of the significant strengths of an advanced society. A country with a lack of culture is less competitive due to the inequality suffered by its people. Institutions and organizations are putting their efforts into tackling that problem. Nevertheless, it is not an easy task to ascertain why their students have failed or what are the conditions that affect such situations. In this work, an intelligent system is proposed to predict academic failure by using student information stored by the Industrial University of Santander (Colombia). The prediction model is powered by the XGBoost algorithm, where a TOPSIS-based feature extraction and ADASYN oversampling have been conducted. Hyperparameters of the classifier were tuned by a cross-validated grid-search algorithm. We have compared our results with other decision-tree classifiers and displayed the feature importance of our intelligent system as an explainability phase. In conclusion, our intelligent system has shown a superior performance of our prediction model and has indicated to us that economic, health and social factors are decisive for the academic performance of the students.

教育制度决定了一个先进社会的重要力量之一。一个缺乏文化的国家由于其人民遭受的不平等而缺乏竞争力。机构和组织正在努力解决这个问题。然而,要弄清楚他们的学生失败的原因或影响这种情况的条件并不是一件容易的事。在这项工作中,提出了一个智能系统,通过使用桑坦德工业大学(哥伦比亚)存储的学生信息来预测学业失败。预测模型由XGBoost算法驱动,其中进行了基于topsis的特征提取和ADASYN过采样。通过交叉验证的网格搜索算法对分类器的超参数进行了调整。我们将我们的结果与其他决策树分类器进行了比较,并显示了我们的智能系统作为可解释性阶段的特征重要性。综上所述,我们的智能系统表现出了我们预测模型的优越性能,并向我们表明,经济、健康和社会因素对学生的学习成绩具有决定性作用。
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引用次数: 0
Research on the scheduling method of ground resource under uncertain arrival time 不确定到达时间下地面资源调度方法研究
IF 2.5 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-11-15 DOI: 10.1016/j.orp.2023.100291
Guoning Xu, Yupeng Lin, Zhiying Wu, Qingxin Chen, Ning Mao

We present a two-stage scheduling approach including proactive and reactive scheduling to solve the ground resource scheduling problem with uncertain arrival time. In the first stage, an integer programming model is constructed to minimize the delay and transfer costs. After solving this model, we obtain a baseline scheduling plan that considers the service arrival time uncertainty. In the second stage, the feasibility of the subsequent benchmark plan is evaluated based on the current state of the services and resources. The reactive scheduling model is enabled when trigger conditions are met. Moreover, an improved adaptive large neighborhood search is designed to solve the proactive scheduling model effectively. Real data from an international airport in South China is used as a test case to compare different scheduling strategies. The results show that it is difficult to handle the uncertainty of the problem with the benchmark plan that simply considered buffer time. Compared with rolling time-domain scheduling, the average transfer cost of the scheduling strategy proposed in this paper increased slightly, but the average service delay cost can be reduced significantly. Algorithm-wise, instances of different scales are designed to verify the effectiveness of the improved adaptive large neighborhood search algorithm. The efficiency of the algorithm scheme is better than that of the Gurobi solver scheme in medium to large-scale problems. Therefore, the forward and reactive strategies can better handle the uncertainty of airport ground protection services as they can simultaneously guide the allocation and utilization of airport ground protection resources.

针对地面资源到达时间不确定的调度问题,提出了一种主动和被动两阶段调度方法。在第一阶段,构造一个整数规划模型,以最小化延迟和转移成本。求解该模型后,得到了考虑服务到达时间不确定性的基线调度方案。在第二阶段,根据服务和资源的当前状态评估后续基准计划的可行性。当满足触发条件时,启用响应式调度模型。此外,设计了一种改进的自适应大邻域搜索算法,有效地解决了主动调度问题。本文以华南某国际机场的真实数据为例,比较不同的调度策略。结果表明,单纯考虑缓冲时间的基准方案难以处理问题的不确定性。与滚动时域调度相比,本文提出的调度策略的平均转移成本略有增加,但平均服务延迟成本可以显著降低。在算法方面,设计了不同尺度的实例来验证改进的自适应大邻域搜索算法的有效性。在大中型问题中,该算法方案的求解效率优于Gurobi方案。因此,正向策略和被动策略可以同时指导机场地面保护资源的配置和利用,可以更好地处理机场地面保护服务的不确定性。
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引用次数: 0
Effects of variable prepayment installments on pricing and inventory decisions with power demand pattern and non-linear holding cost under carbon cap-and-price regulation 碳限额-价格管制下电力需求模式和非线性持有成本下可变预付分期对定价和库存决策的影响
IF 2.5 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-11-11 DOI: 10.1016/j.orp.2023.100289
Md. Al-Amin Khan , Leopoldo Eduardo Cárdenas-Barrón , Gerardo Treviño-Garza , Armando Céspedes-Mota , Imelda de Jesús Loera-Hernández , Neale R. Smith

Regulators’ increasingly stringent carbon rules to protect the environment are encouraging practitioners to modify their operational activities that are accountable for releasing emissions into the atmosphere. Thereby, practitioners dealing with product inventory planning are seeking proper management strategies not only to increase profits but also to reduce released carbons from operations. In addition, increasing uncertainty in supply operations has motivated suppliers to impose prepayment mechanisms in recent decades. This study examines the best prepayment installment policy for a practitioner for the first time, where the consumption behavior of consumers changes as a result of the combined effects of unit selling price and storage time. Moreover, to make the present inventory planning more realistic, the unit holding cost function is adopted as a power function of the inventory unit's storage period. The goal of this study is to provide the best combined installment for advance payment, price, and replenishment strategies for a practitioner under cap-and-price, cap-and-trade, and carbon tax environmental guidelines by ensuring maximum profit. For this purpose, an algorithm is created by combining all derived theoretical results from the analytical study, whereas the efficacy of the algorithm is assessed through the examination of five illustrative numerical instances. A plethora of noteworthy management insights for the practitioner are obtained by investigating the dynamic shifts in optimal strategies resulting from fluctuations in system parameters. The results reveal that if the demand is low in the nascent phases of the business cycle, then the prudent approach for the practitioner entails procuring a comparatively smaller lot-size using a modest number of payment frequencies and then setting a relatively small unit selling price to increase profits.

监管机构为保护环境而制定的日益严格的碳排放规定,正鼓励从业者修改对排放到大气中的气体负责的经营活动。因此,处理产品库存计划的从业者正在寻求适当的管理策略,不仅要增加利润,还要减少运营中释放的碳。此外,近几十年来,供应业务日益增加的不确定性促使供应商实施预付机制。本文首次探讨了在单位销售价格和储存时间共同作用下,消费者消费行为发生变化的最佳提前付款分期付款政策。此外,为了使现有的库存规划更具有现实性,采用了单位持有成本函数作为库存单元存贮期的幂函数。本研究的目的是提供在限额与价格、限额与交易和碳税环境指导下,为从业者提供最佳的预付款、价格和补充策略组合,以确保利润最大化。为此,通过结合分析研究的所有推导出的理论结果来创建算法,而通过检查五个说明性数值实例来评估算法的有效性。通过研究由系统参数波动引起的最优策略的动态变化,从业者获得了大量值得注意的管理见解。结果表明,如果在商业周期的初期阶段需求较低,那么对于从业者来说,谨慎的方法需要使用适度数量的付款频率采购相对较小的批量,然后设置相对较小的单位销售价格以增加利润。
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引用次数: 0
Prescriptive price optimization using optimal regression trees 使用最优回归树的规定性价格优化
IF 2.5 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-11-10 DOI: 10.1016/j.orp.2023.100290
Shunnosuke Ikeda , Naoki Nishimura , Noriyoshi Sukegawa , Yuichi Takano

This paper is concerned with prescriptive price optimization, which integrates machine learning models into price optimization to maximize future revenues or profits of multiple items. The prescriptive price optimization requires accurate demand forecasting models because the prediction accuracy of these models has a direct impact on price optimization aimed at increasing revenues and profits. The goal of this paper is to establish a novel framework of prescriptive price optimization using optimal regression trees, which can achieve high prediction accuracy without losing interpretability by means of mixed-integer optimization (MIO) techniques. We use the optimal regression trees for demand forecasting and then formulate the associated price optimization problem as a mixed-integer linear optimization (MILO) problem. We also develop a scalable heuristic algorithm based on the randomized coordinate ascent for efficient price optimization. Simulation results demonstrate the effectiveness of our method for price optimization and the computational efficiency of the heuristic algorithm.

本文关注的是规定性价格优化,它将机器学习模型集成到价格优化中,以最大化多个项目的未来收入或利润。规定性的价格优化需要准确的需求预测模型,因为这些模型的预测准确性直接影响到以增加收入和利润为目标的价格优化。本文的目标是利用最优回归树建立一种新的规定性价格优化框架,该框架可以在不失去可解释性的前提下获得较高的预测精度。我们使用最优回归树进行需求预测,然后将相关的价格优化问题表述为混合整数线性优化(MILO)问题。我们还开发了一种基于随机坐标上升的可扩展启发式算法,用于有效的价格优化。仿真结果验证了该方法的有效性和启发式算法的计算效率。
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引用次数: 1
The effect of an uncertain commission rate on the decisions of a capital-constrained developer 不确定的佣金率对资金受限的开发商决策的影响
IF 2.5 4区 管理学 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-11-10 DOI: 10.1016/j.orp.2023.100288
Tal Avinadav, Priel Levy

This study investigates a green supply chain consisting of a capital-constrained developer who sells a product via a platform. The parties interact via an agency contract, in which the platform charges a fixed proportion of the revenue gained from each sold unit and the developer receives the remaining sum. Since the development process is relatively protracted, at the early stages of this process, the commission rate to be charged by the platform is random from the developer’s perspective. Upon receiving information about the amount of capital the developer has committed to investing in greenness from his own resources, an external investor offers the developer a loan at a certain interest rate (to further enhance the developer’s investment in greenness), based on which the developer sets the product’s greenness level and selling price. The study provides a game-theoretic analysis of this model and compares its equilibrium solution with the optimal solution of a fully self-financing developer. The innovative feature of the study lies in its comparison between the case of a developer who might not be able to repay the loan, because his revenue from selling the product might be lower than the amount he is required to repay the investor (the loan plus interest), and the case in which it is certain that the developer will be able to repay any debt to the investor. Our study shows that, in the case where the investor takes on the financing risk, the customers benefit from a higher greenness level (albeit at a higher price), resulting in greater demand for the product.

本文研究了一个绿色供应链,由一个资金受限的开发商通过平台销售产品组成。双方通过代理合同进行互动,根据该合同,平台从每台售出的游戏中收取固定比例的收益,而开发商则获得剩余的收益。由于开发过程相对较长,在此过程的早期阶段,平台收取的佣金率从开发者的角度来看是随机的。外部投资者在收到开发商从自身资源中承诺投入的绿色资金信息后,以一定的利率向开发商提供贷款(以进一步提高开发商的绿色投资),开发商据此确定产品的绿色水平和销售价格。本文对该模型进行了博弈论分析,并将其均衡解与完全自负盈亏的开发商的最优解进行了比较。该研究的创新之处在于,它比较了两种情况,一种是开发商可能无法偿还贷款,因为他销售产品的收入可能低于偿还投资者所需的金额(贷款加利息),另一种是开发商肯定能够偿还投资者的任何债务。我们的研究表明,在投资者承担融资风险的情况下,客户受益于更高的绿色水平(尽管价格更高),从而导致对产品的更大需求。
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引用次数: 0
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