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A matheuristic for the joint replenishment problem with and without resource constraints 有资源约束和无资源约束联合补给问题的数学启发式
IF 4.8 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-08-30 DOI: 10.1007/s10479-024-06230-y
Milad Elyasi, Ali Ekici, Başak Altan, Okan Örsan Özener

We study the Joint Replenishment Problem (JRP), which arises from the need for coordinating the replenishment of multiple items that share a common fixed cost. Even in the basic setting, determining the optimal replenishment plan is an NP-Hard problem. We analyze both the JRP under indirect grouping policy and its variant with restrictions like transportation capacity, budget capacity, and item transportation compatibility. Additionally, we consider uncertainty characteristics such as imperfect item quality, as highlighted in related literature studies. We propose a novel matheuristic method that determines the best basic cycle time while addressing the problem with a fixed cycle time using a linear integer model. The proposed method is quite versatile to handle additional real-life constraints effectively. Based on an extensive computational study, we conclude that for the basic setting under indirect grouping policy, the proposed algorithm outperforms the benchmark algorithms in the literature by 0.3% on average. For more complicated settings with additional restrictions, our proposed algorithm outperforms the benchmark algorithm by around 5% on average.

我们研究了联合补货问题(Joint Replenishment Problem,JRP),该问题产生于对共享共同固定成本的多个物品进行协调补货的需求。即使在基本情况下,确定最优补货计划也是一个 NP-Hard(近乎苛刻)的问题。我们分析了间接分组策略下的联合补货计划,以及其带有运输能力、预算能力和物品运输兼容性等限制条件的变体。此外,我们还考虑了相关文献研究中强调的不确定性特征,如不完善的物品质量。我们提出了一种新颖的数学启发式方法,在使用线性整数模型解决固定周期时间问题的同时,确定最佳基本周期时间。所提出的方法非常灵活,能有效处理现实生活中的其他约束条件。基于广泛的计算研究,我们得出结论:对于间接分组策略下的基本设置,所提出的算法比文献中的基准算法平均高出 0.3%。对于附加限制的更复杂设置,我们提出的算法平均比基准算法优胜约 5%。
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引用次数: 0
Managing customer waiting times in an inventory system using Conditional Value-at-Risk measure 利用条件风险价值计量法管理库存系统中的客户等待时间
IF 4.8 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-08-29 DOI: 10.1007/s10479-024-06221-z
Taher Ahmadi, Alireza F. Hesaraki, Anwar Mahmoodi, Ahmadreza Marandi

In today’s fast-paced world, delays or prolonged customer waiting times pose a threat to the firm’s profitability. This study utilizes the mean-CVaR metric to incorporate the risk associated with prolonged customer waiting times into the optimal trade-off decisions. For this purpose, we consider a single inventory system that faces Poisson demand and utilizes a base-stock policy to replenish its inventory, which takes a fixed amount of time. The firm implements a preorder strategy, encouraging customers to place their orders a fixed amount of time in advance of their actual needs, a period referred to as the commitment lead time. The firm rewards customers with a bonus termed the commitment cost, which increases with the length of the commitment lead time. We aim to determine the optimal control policy, including the optimal base-stock level and optimal commitment lead time, that minimizes the long-run average cost. The cost includes inventory holding, commitment, and customer waiting costs, with the latter adjusted for the firm’s degree of risk aversion. The optimal policy depends on the interdependence of the decisions, with the optimal commitment lead time following a “bang-bang” pattern, and the corresponding optimal base-stock level taking an “all-or-nothing” form. For linear commitment costs with a cost factor per time unit, we identify a threshold that increases with the firm’s risk aversion degree. Firms with greater risk aversion typically favor the buy-to-order strategy, while those with lower risk aversion may opt for either buy-to-stock or buy-to-order depending on their assessment of waiting costs.

在当今快节奏的世界中,延误或延长客户等待时间会对公司的盈利能力构成威胁。本研究利用均值-CVaR 指标,将与客户等待时间延长相关的风险纳入最优权衡决策中。为此,我们考虑了一个单一库存系统,该系统面临泊松需求,采用基本库存政策来补充库存,需要固定的时间。该公司实施预购策略,鼓励客户在实际需求之前提前固定时间下订单,这段时间被称为承诺提前期。公司奖励客户一笔奖金,称为承诺成本,随着承诺准备期的延长而增加。我们的目标是确定最优控制政策,包括最优基本库存水平和最优承诺提前期,使长期平均成本最小化。成本包括库存持有成本、承诺成本和客户等待成本,其中客户等待成本会根据企业的风险规避程度进行调整。最优政策取决于各项决策之间的相互依存关系,最优承诺周转时间遵循 "砰砰 "模式,相应的最优基本库存水平采取 "全有或全无 "形式。对于以时间为单位的线性承诺成本,我们确定了一个临界值,该临界值随企业的风险规避程度而增加。风险规避程度较高的企业通常倾向于 "按订单购买 "策略,而风险规避程度较低的企业可能会根据其对等待成本的评估,选择 "按库存购买 "或 "按订单购买"。
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引用次数: 0
Profitable pathways: unraveling sales strategies and collusion impact in e-tailer-manufacturer supply chains 盈利途径:揭示网络零售商-制造商供应链中的销售策略和合谋影响
IF 4.8 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-08-29 DOI: 10.1007/s10479-024-06220-0
Mohammad Akbarzadeh Sarabi, Ata Allah Taleizadeh, Fariborz Jolai

Today, as market competition intensifies and competition costs rise, manufacturers are increasingly incentivized to engage in anti-competitive contracts or collusion, disrupting the market and harming non-colluding members; on top of all, the growing dominance of e-tailers further complicates supply chain relationships. While addressing the research gap in the specific dynamics between e-tailers and multiple manufacturers in the context of collusion and competition, the principal objective of this article is to get the best sales strategies and decision-making methods according to the standpoint of manufacturers, the e-tailer, and the entire supply chain. This study investigates the relationships and decisions of supply chain members, including an online retailer (e-tailer) and two manufacturers. Our findings indicate that fines for manufacturer collusion and higher e-tailer referral fees can reduce collusion incentives in reselling formats. When both manufacturers sell their products in a reselling sale format, the overall supply chain profit is appreciably higher in all cases, including centralized decision-making, Stackelberg-Bertrand competition, collusion, and deviation. Additionally, different sales formats increase collusion likelihood compared to identical formats, though reselling formats make collusion more sustainable. E-tailers should invest in high-intensity services to boost profitability, while manufacturers prioritize the agency sale format for optimal profits. The findings of this paper are significant as they provide practical guidance for supply chain management and help in monitoring commercial behavior to prevent collusion.

如今,随着市场竞争的加剧和竞争成本的上升,制造商越来越有动力签订反竞争契约或进行合谋,从而扰乱市场并损害非合谋成员的利益;此外,网络零售商日益占据主导地位,也使供应链关系变得更加复杂。本文在解决网络零售商与多家制造商在合谋和竞争背景下的具体动态关系的研究空白的同时,主要目的是根据制造商、网络零售商和整个供应链的立场,获得最佳的销售策略和决策方法。本研究调查了供应链成员(包括一家在线零售商(网络零售商)和两家制造商)之间的关系和决策。我们的研究结果表明,对制造商合谋行为的罚款和较高的网络零售商介绍费可以减少转售形式中的合谋动机。当两家制造商都以转售形式销售产品时,在所有情况下,包括集中决策、Stackelberg-Bertrand 竞争、合谋和偏离,供应链的整体利润都会显著提高。此外,与相同的销售形式相比,不同的销售形式增加了合谋的可能性,尽管转售形式使合谋更可持续。网络零售商应投资于高强度服务以提高利润率,而制造商则应优先考虑代理销售形式以获得最佳利润。本文的研究结果意义重大,它为供应链管理提供了实用指导,并有助于监控商业行为以防止合谋。
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引用次数: 0
To revise or not to revise? This is the question 修改还是不修改?这是一个问题
IF 4.8 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-08-27 DOI: 10.1007/s10479-024-06214-y
Haim Levy

Buy and hold and periodical revisions are two competing investment strategies. Revising to the optimal one-period investment weights seemingly dominates the buy-and-hold strategy with random and uncontrolled investment weights determined by asset price changes. This intuition is misleading as both investment strategies are theoretically included in the risk aversion efficient set. Considering only economically relevant preferences, with stocks-bonds portfolios, both strategies are empirically included in the risk aversion efficient set as long as the investment horizon is shorter than 20 years. However, for an investment horizon longer than twenty years, the buy and hold strategy empirically dominates the revision strategy by Almost First-degree Stochastic Dominance ((AFSD)) rule, namely by all economically relevant utility functions. When the horizon is indefinitely long, holding only stocks dominates the stock–bond portfolios of both the B&H(S) and the RV(S). However, this theoretical result may be practically irrelevant for most investors with a horizon shorter than 20 years.

买入并持有和定期修正是两种相互竞争的投资策略。按照一期最优投资权重进行修正,看似主导了买入并持有策略,因为资产价格变化决定了投资权重的随机性和不可控性。这种直觉有误导性,因为理论上这两种投资策略都包含在风险规避有效集合中。只考虑与经济相关的偏好,在股票-债券投资组合中,只要投资期限短于 20 年,这两种策略在经验上都包含在风险规避有效集合中。然而,当投资期限超过 20 年时,根据经验,买入并持有策略在所有经济相关的效用函数中,通过几乎一级随机支配(Almost First-degree Stochastic Dominance)规则支配修正策略。当时间跨度无限长时,只持有股票会主导 B&H(S) 和 RV(S) 的股票-债券组合。然而,对于大多数投资期限短于 20 年的投资者来说,这一理论结果可能与实际情况无关。
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引用次数: 0
Policy analysis in agrochemical supply chain: a system dynamics approach 农用化学品供应链的政策分析:系统动力学方法
IF 4.8 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-08-26 DOI: 10.1007/s10479-024-06113-2
Rajeev A., Devika Kannan, Rupesh K. Pati, Sidhartha S. Padhi, Chunguang Bai

Sustainable agriculture has emerged as a critical topic in the context of sustainable development goals set by the United Nations. A key aspect impacting the sustainability of the agriculture supply chain is the usage of agrochemicals. Transitioning to sustainable alternatives from agrochemicals poses challenges, as it affects farms’ productivity, income, and food supply to the market. The delicate balance between farm income and greenhouse gas emissions related to chemical fertilizer usage has not been addressed adequately using a dynamic system behavior perspective. This study employs a System Dynamics model to simulate the impact of adopting biofertilizers on the triple-bottom-line performance of the agrochemical supply chain from a policy perspective. The model aims to understand stakeholder behavior within the fertilizer supply chain and enhance its sustainability. Additionally, the study models the effects of various input subsidies using the design of experiments in an Indian agrochemical supply chain, examining trade-offs involved in the triple-bottom-line (social, environmental, and economic) parameters for each subsidy. The simulation model offers policymakers insights into determining appropriate subsidy levels to facilitate a sustainable transition of agricultural supply chains. In this context, various possible scenarios were obtained by simulating the policy parameters (agriproduct price, chemical fertilizer prices, biofertilizer fixed costs, and biofertilizer subsidies) resulting in optimal levels of environmental impact, producer profit, and social benefit. It also provides a comprehensive evaluation of the triple-bottom-line effects of policy strategies, thereby facilitating the comprehension of trade-offs in the supply chains of lower/middle-income countries. The study contributes valuable guidance for policymakers to make informed decisions for promoting sustainable agriculture and achieving the triple-bottom-line objectives in the agrochemical industry.

可持续农业已成为联合国制定的可持续发展目标中的一个重要议题。影响农业供应链可持续性的一个关键方面是农用化学品的使用。从农用化学品过渡到可持续替代品带来了挑战,因为这会影响农场的生产率、收入和市场粮食供应。农场收入与化肥使用相关的温室气体排放之间的微妙平衡,尚未从动态系统行为的角度得到充分解决。本研究采用系统动力学模型,从政策角度模拟采用生物肥料对农用化学品供应链三重底线绩效的影响。该模型旨在了解化肥供应链中利益相关者的行为,并提高其可持续性。此外,该研究还利用印度农用化学品供应链中的实验设计对各种投入品补贴的效果进行了建模,研究了每种补贴的三重底线(社会、环境和经济)参数所涉及的权衡问题。模拟模型为政策制定者提供了洞察力,帮助他们确定适当的补贴水平,促进农业供应链的可持续转型。在此背景下,通过模拟政策参数(农业产品价格、化肥价格、生物肥料固定成本和生物肥料补贴),得出了各种可能的方案,从而实现环境影响、生产者利润和社会效益的最佳水平。研究还对政策战略的三重底线效应进行了全面评估,从而有助于理解中低收入国家供应链中的权衡问题。这项研究为政策制定者提供了宝贵的指导,帮助他们做出明智的决策,促进农业可持续发展,实现农用化学品行业的三重底线目标。
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引用次数: 0
Harry Markowitz, the Cowles Commission, and portfolio theory 哈里-马科维茨、考尔斯委员会和投资组合理论
IF 4.8 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-08-26 DOI: 10.1007/s10479-024-06223-x
Robert W. Dimand

Harry Markowitz’s pioneering work on portfolio choice was developed in the supportive environment of the Cowles Commission (later Foundation), a remarkable organization devoted to advanced formal mathematical and statistical methods in economics. Markowitz made use of Tjalling Koopmans’s activity analysis and influenced the monetary and financial economics of James Tobin and his Cowles associates, who studied the implications for economic equilibrium of investors following Markowitz’s optimal portfolio diversification. Milton Friedman’s reluctance to accept Markowitz’s dissertation was part of growing methodological frictions between Friedman and the Cowles Commission that led the commission to leave the University of Chicago to become the Cowles Foundation at Yale.

哈里-马科维茨在投资组合选择方面的开创性工作是在考尔斯委员会(后来的基金会)的支持环境下开展的,考尔斯委员会是一个致力于在经济学中采用先进的正规数学和统计方法的杰出组织。马科维茨利用了 Tjalling Koopmans 的活动分析,并影响了詹姆斯-托宾及其考尔斯同事的货币和金融经济学,他们研究了投资者遵循马科维茨的最优投资组合多样化对经济均衡的影响。米尔顿-弗里德曼不愿意接受马科维茨的论文,这是弗里德曼与考尔斯委员会之间方法论摩擦日益加剧的一部分,导致该委员会离开芝加哥大学,成为耶鲁大学的考尔斯基金会。
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引用次数: 0
An enhanced multiobjective inventory routing model to meet sustainable goals for assembly supply network under uncertainty 增强型多目标库存路由模型,实现不确定条件下装配供应网络的可持续目标
IF 4.8 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-08-25 DOI: 10.1007/s10479-024-06222-y
Satya Prakash, Indrajit Mukherjee, Gunjan Soni, Rajesh Piplani

This study proposes an enhanced multiobjective assembly inventory routing model to assess the impact of sustainability practices on supply network performance goals. The model considers supplier incentives, supply risk, carbon emission penalty, heterogeneous fleet configuration, and demand uncertainty. Specifically, the model has economic (e.g., minimizing network cost), environmental (e.g., minimizing emission penalty), and social (e.g., maximizing supplier incentives) goals. The model incorporates a supply risk reduction policy. The novelty of this study lies in its simultaneous consideration of diverse factors in an inventory-routing context. Data sets from the existing literature are used to validate the model across various problem sizes. A modified hybrid non-dominated sorting genetic algorithm-II (HNSGA-II) is proposed to determine Pareto solutions and compare them with those derived from a speed-constrained multiobjective particle swarm optimization algorithm (SMPSO). HNSGA-II outperforms SMPSO in several critical performance metrics. The study further explores the impact of incentive schemes, low-risk supplier prioritization, and fleet configurations on sustainability performance. This study demonstrates a factorial experimentation-based sensitivity analysis on four objectives. The findings reveal that a heterogeneous fleet configuration can reduce emission penalties. However, this can result in increased network costs. A combination of low- and medium-duty vehicles is also recommended to attain economic and environmental efficiency. Service-level-based supplier incentives are found to enhance supply reliability and reduce shortages. However, this can elevate network costs and emissions. In scenarios of high demand variability, supplier incentives can ensure reliability. Conversely, cost and emission reduction can be prioritized over maximizing supplier incentives in high-supply risk scenarios.

本研究提出了一种增强型多目标装配库存路由模型,用于评估可持续发展实践对供应网络绩效目标的影响。该模型考虑了供应商激励、供应风险、碳排放惩罚、异构车队配置和需求不确定性。具体来说,该模型具有经济(如网络成本最小化)、环境(如排放惩罚最小化)和社会(如供应商激励最大化)目标。该模型包含一项降低供应风险的政策。这项研究的新颖之处在于它同时考虑了库存路由背景下的各种因素。现有文献中的数据集被用来验证不同问题规模下的模型。研究提出了一种改进的混合非支配排序遗传算法-II(HNSGA-II)来确定帕累托解决方案,并将其与速度受限多目标粒子群优化算法(SMPSO)得出的解决方案进行比较。HNSGA-II 在几个关键性能指标上都优于 SMPSO。该研究进一步探讨了激励方案、低风险供应商优先级和车队配置对可持续性绩效的影响。本研究对四个目标进行了基于因子实验的敏感性分析。研究结果表明,异构车队配置可以减少排放罚款。然而,这会导致网络成本增加。此外,还建议结合使用低负荷和中负荷车辆,以实现经济和环境效益。基于服务水平的供应商激励措施可提高供应可靠性并减少短缺。然而,这会增加网络成本和排放。在需求变化较大的情况下,供应商激励措施可以确保可靠性。相反,在高供应风险情况下,降低成本和减少排放可以优先于最大化供应商激励。
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引用次数: 0
Optimizing mobility resource allocation in multiple MaaS subscription frameworks: a group method of data handling-driven self-adaptive harmony search algorithm 优化多个 MaaS 订阅框架中的移动资源分配:数据处理驱动的自适应和谐搜索算法组方法
IF 4.8 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-08-23 DOI: 10.1007/s10479-024-06209-9
Haoning Xi, Yan Wang, Zhiqi Shao, Xiang Zhang, Travis Waller

Mobility as a Service (MaaS) transforms urban transportation from car ownership to subscription-based models. A key factor for the success of MaaS is accurately predicting users’ Willingness to Pay (WTP) for various subscription packages, enhancing their adoption and satisfaction. This paper employs a “smart predict-then-optimize” framework, where the weekly, annual, and monthly MaaS subscription models are formulated as online, offline, and hybrid online-offline mobility resource allocation problems, respectively. We develop a group method of data handling (GMDH)-driven self-adaptive harmony search (SAHS) algorithm to solve the proposed mobility resource allocation problems effectively. Initially, GMDH-type neural networks predict users’ WTP using their historical travel data, such as travel distance and service time, and socio-demographic characteristics, including inconvenience tolerance and travel delay budget; then these predicted WTP values are fed into the weekly, annual, and monthly mobility resource allocation problems, respectively. Comprehensive numerical experiments based on a simulated dataset demonstrate the robust prediction performance of the GMDH neural network across weekly, monthly, and annual subscription models, as well as the effectiveness of the GMDH-driven SAHS algorithm in managing resource allocation for these models. Our numerical findings highlight that the monthly subscription model strikes an optimal balance, combining the flexibility of the weekly model with the strategic depth of the annual model. This study proposes three distinct MaaS subscription models and a data-driven metaheuristic algorithm to customize MaaS offerings to user needs.

移动即服务(MaaS)将城市交通从汽车拥有模式转变为订阅模式。移动即服务成功的一个关键因素是准确预测用户对各种订阅套餐的支付意愿(WTP),从而提高用户的采用率和满意度。本文采用了 "智能预测-优化 "框架,将每周、每年和每月的 MaaS 订阅模型分别表述为在线、离线和混合在线-离线移动资源分配问题。我们开发了一种数据处理群法(GMDH)驱动的自适应和谐搜索(SAHS)算法,以有效解决提出的移动资源分配问题。首先,GMDH 型神经网络利用用户的历史出行数据(如出行距离和服务时间)以及社会人口特征(包括不便容忍度和出行延迟预算)预测用户的 WTP,然后将这些预测的 WTP 值分别输入到每周、每年和每月的移动资源分配问题中。基于模拟数据集的综合数值实验证明了 GMDH 神经网络在周、月和年订阅模型中的稳健预测性能,以及 GMDH 驱动的 SAHS 算法在管理这些模型的资源分配方面的有效性。我们的数值研究结果表明,按月订购模式实现了最佳平衡,既有周订购模式的灵活性,又有年订购模式的战略深度。本研究提出了三种不同的 MaaS 订阅模式和一种数据驱动的元启发式算法,以根据用户需求定制 MaaS 产品。
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引用次数: 0
Efficient neighborhood evaluation for the maximally diverse grouping problem 最大多样化分组问题的高效邻域评估
IF 4.4 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-08-21 DOI: 10.1007/s10479-024-06217-9
Arne Schulz

The Maximally Diverse Grouping Problem is one of the well-known combinatorial optimization problems with applications in the assignment of students to groups or courses. Due to its NP-hardness several (meta)heuristic solution approaches have been presented in the literature. Most of them include the insertion of an item of one group into another group and the swap of two items currently assigned to different groups as neighborhoods. The paper presents a new efficient implementation for both neighborhoods and compares it with the standard implementation, in which all inserts/swaps are evaluated, as well as the neighborhood decomposition approach. The results show that the newly presented approach is clearly superior for larger instances allowing for up to 160% more iterations in comparison to the standard implementation and up to 76% more iterations in comparison to the neighborhood decomposition approach. Moreover, the results can also be used for (meta)heuristic algorithms for other grouping or clustering problems.

最大多样化分组问题是著名的组合优化问题之一,应用于学生分组或课程分配。由于该问题具有 NP 难度,文献中提出了几种(元)启发式解决方法。其中大多数方法包括将一个小组的一个项目插入另一个小组,以及将目前分配到不同小组的两个项目作为邻域进行交换。本文针对这两种邻域提出了一种新的高效实现方法,并将其与评估所有插入/交换的标准实现方法以及邻域分解方法进行了比较。结果表明,新提出的方法对于较大的实例显然更有优势,与标准实现方法相比,迭代次数最多可增加 160%,与邻域分解方法相比,迭代次数最多可增加 76%。此外,这些结果还可用于其他分组或聚类问题的(元)启发式算法。
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引用次数: 0
Design of a mathematical model to optimize farmer food security and promote rural development in Paraguay 设计数学模型,优化巴拉圭农民的粮食安全并促进农村发展
IF 4.8 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-08-20 DOI: 10.1007/s10479-024-06199-8
María Margarita López, Jorge Vera Andreo, Lluís Miquel Plà Aragonés, Jorge L. Recalde-Ramírez

Peasants occupy many rural areas with low income, excessive self-consumption, and deficient access to resources, which translate into poverty and lack of food security. In developing countries, support programs push incentives for better crop planning decisions, exchanging crops between farmers, and improving market access. Decision-making in this context is complex, given the many available options and criteria regarding nutrition, income, and work capacity that must be satisfied, as well as several uncertainties. Considering the primary agricultural operations, we develop a mixed integer optimization model that maximizes farmer's profit and food security. We test our model for cooperatives from the Department of Caazapá, Paraguay. First, we solve the deterministic model for 60-month horizon planning and generate alternative scenarios. Then, we compare the plan for the actual production with the plan from the model solution. To study the effects of uncertainty, we also develop a two-stage stochastic model in which results for four cooperatives and 24-month horizon planning are compared considering sources of uncertainty on the supply side (harvest yield) and on the demand side (sales price). The proposed plans have economic, environmental, and social advantages: a mix of crop production, crop rotation performance, and the partial fulfillment of nutritional requirements. In the short term, the plans could guide production decision-making. In the long term, the results could support the generation of concrete line actions for programs or projects according to the Sustainable Development Goals (SDG), such as food security and small-scale production planning.

在许多农村地区,农民收入低、过度自给自足、资源匮乏,导致贫困和缺乏粮食安全。在发展中国家,支持计划鼓励更好的作物规划决策、农民之间交换作物以及改善市场准入。在这种情况下,决策是复杂的,因为有许多可供选择的方案和必须满足的有关营养、收入和工作能力的标准,以及一些不确定因素。考虑到初级农业经营,我们开发了一个混合整数优化模型,以实现农民利润和粮食安全的最大化。我们以巴拉圭卡萨帕省的合作社为对象,对模型进行了测试。首先,我们求解了 60 个月期限规划的确定性模型,并生成了备选方案。然后,我们将实际生产计划与模型求解的计划进行比较。为了研究不确定性的影响,我们还开发了一个两阶段随机模型,其中考虑到供应方(收获产量)和需求方(销售价格)的不确定性,对四个合作社的结果和 24 个月的规划进行了比较。建议的计划具有经济、环境和社会优势:混合作物生产、轮作性能以及部分满足营养需求。从短期来看,这些计划可以指导生产决策。从长远来看,其结果可支持根据可持续发展目标(SDG)制定计划或项目的具体行动,如粮食安全和小规模生产规划。
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引用次数: 0
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