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Scheduling with a weight-modifying activity to minimize the total weighted completion time 使用权重修正活动进行排程,以尽量减少总加权完成时间
IF 6.9 2区 管理学 Q1 Decision Sciences Pub Date : 2024-05-22 DOI: 10.1016/j.omega.2024.103115
Bertrand M.T. Lin , Shu-Wei Liu , Gur Mosheiov

This paper considers a single-machine scheduling problem to minimize the total weighted completion time with a weight modifying activity, after which the job weights are discounted by a given factor. The problem is known to be ordinary NP-hard. We propose two mixed integer linear programs (MILPs) and a dynamic programming algorithm to optimally solve the problem. Optimality properties are established and then formulated as pruning constraints to improve the problem-solving efficiency of the MILPs. Special cases are discussed and shown to be solvable by polynomial time algorithms. Complexity status of the studied problem with several instance characteristics is shown. Computational experiments indicate that the optimality properties can reduce the computing efforts and that one of the proposed MILPs can solve instances of 200 jobs in a few seconds.

本文考虑的是一个单机调度问题,即在工作权重按给定系数折算后,通过权重修正活动使总加权完成时间最小化。众所周知,该问题具有普通 NP 难度。我们提出了两个混合整数线性程序 (MILP) 和一种动态编程算法来优化解决该问题。我们建立了最优属性,然后将其制定为剪枝约束,以提高 MILPs 的问题求解效率。对特殊情况进行了讨论,并证明可以用多项式时间算法求解。还展示了所研究问题在若干实例特征下的复杂性状况。计算实验表明,最优性属性可以减少计算工作量,其中一个提议的 MILPs 可以在几秒钟内解决 200 个工作实例。
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引用次数: 0
Rescheduling to trade off between global disruption of original jobs with flexibility and scheduling cost of new jobs 重新安排工作,在原有工作的全面中断与新工作的灵活性和调度成本之间进行权衡
IF 6.9 2区 管理学 Q1 Decision Sciences Pub Date : 2024-05-21 DOI: 10.1016/j.omega.2024.103114
Rubing Chen , T.C.E. Cheng , C.T. Ng , Jun-Qiang Wang , Hongjun Wei , Jinjiang Yuan

In this paper we introduce and study the rescheduling problem to trade off between global disruption of the original jobs with flexibility and the scheduling cost of the new jobs. A set of original jobs has been scheduled on a single machine. But before the processing of original jobs begins, a set of new jobs arrives unexpectedly. The scheduler needs to adjust the existing schedule with a view to finding a cost-efficient schedule for the new jobs without causing too much disruption of the original schedule. We make three assumptions that are different from those in the literature: (i) the original jobs are regarded as a unified whole (a big job) and the global disruption of the original jobs is considered, (ii) the original jobs can be split into small pieces in a schedule, which enables effective control of the global disruption, and (iii) the cost of the original jobs depends on the global disruption, while the cost of the new jobs is expressed as a regular scheduling criterion, such as the maximum lateness, the total weighted completion time, and total weighted number of tardy jobs. We analyze the computational complexity of variants of the rescheduling problem.

在本文中,我们介绍并研究了重新调度问题,以在具有灵活性的原始作业的全局中断和新作业的调度成本之间进行权衡。一组原始作业已被调度到一台机器上。但在开始处理原始作业之前,一组新作业突然到来。调度员需要调整现有计划,以便为新工作找到一个经济高效的计划,同时又不会对原有计划造成太大干扰。我们提出了三个与文献不同的假设:(i) 将原有工作视为一个统一的整体(大工作),并考虑原有工作的全局中断;(ii) 在一个计划中,原有工作可以被分割成小块,从而有效控制全局中断;(iii) 原有工作的成本取决于全局中断,而新工作的成本则用常规调度准则来表示,如最大迟到时间、总加权完成时间和总加权迟到工作数。我们分析了重新安排问题变体的计算复杂度。
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引用次数: 0
Sensitivity analysis of the parameters for preference functions and rank reversal analysis in the PROMETHEE II method PROMETHEE II 方法中偏好函数参数的敏感性分析和等级反转分析
IF 6.9 2区 管理学 Q1 Decision Sciences Pub Date : 2024-05-21 DOI: 10.1016/j.omega.2024.103116
Xianliang Liu, Yunfei Liu

The PROMETHEE II method is a classical multiple criteria decision making method. However, it also exists the rank reversal which is a highly important problem for analyzing the reliability of a MCDM method. The main objective of this study is to analyze the sensitivity of the parameters for preference functions and the rank reversal problem in the PROMETHEE II method. By analyzing the parameters for preference functions from the standpoint of theoretics, a method is proposed to calculate the ranges of the parameters for four types of preference functions to remain the ranking of all the alternatives unchanged. Second, the sufficient and necessary condition of the rank reversal is obtained in the PROMETHEE II method when there are only three types of criteria, i.e., usual criteria, U-shape criteria and level criteria. Finally, two minor modification methods for the PROMETHEE II method itself are proposed by observing the net outranking flow formula. Numerical simulations show that the occurrence of the rank reversal is clearly reduced and the ranges of fault tolerance of the parameters for preference functions are significantly larger for each new modified PROMETHEE II method. The similarity of rankings is tested by using the similarity rank coefficient WS. This indicates the rationality of the two proposed modifications.

PROMETHEE II 方法是一种经典的多重标准决策方法。然而,它也存在等级反转问题,这是分析多重标准决策制定方法可靠性的一个非常重要的问题。本研究的主要目的是分析 PROMETHEE II 方法中偏好函数参数和等级反转问题的敏感性。通过从理论角度分析偏好函数的参数,提出了一种方法来计算四种偏好函数的参数范围,以保持所有备选方案的排序不变。其次,在 PROMETHEE II 方法中得到了当标准只有三种(即通常标准、U 型标准和水平标准)时,排序逆转的充分必要条件。最后,通过观察净排名流公式,提出了对 PROMETHEE II 方法本身的两种微小修正方法。数值模拟结果表明,对于每一种新的修改后的 PROMETHEE II 方法来说,排名逆转的发生率明显降低,偏好函数参数的容错范围明显增大。使用相似度等级系数 WS 检验了排名的相似性。这表明这两种修改建议是合理的。
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引用次数: 0
A multiple criteria Bayesian hierarchical model for analyzing heterogeneous consumer preferences 用于分析异质消费者偏好的多标准贝叶斯分层模型
IF 6.9 2区 管理学 Q1 Decision Sciences Pub Date : 2024-05-11 DOI: 10.1016/j.omega.2024.103113
Jiapeng Liu , Yan Wang , Miłosz Kadziński , Xiaoxin Mao , Yuan Rao

We introduce a novel Bayesian hierarchical model for consumer preference analysis, addressing two significant challenges in this domain. First, it accommodates preference heterogeneity at both individual and segment levels. This enables actionable insights for targeting and pricing decisions while quantifying uncertainty. Second, it incorporates probabilistic value-based ranking to handle inconsistent and sparse preference data. This way, it mitigates the impact of cognitive biases and alleviates uncertainty in estimates. The proposed method performs robust inference of consumers’ preferences through hierarchical priors, allowing for flexible parameter learning and borrowing statistical strength from well-informed individuals. We demonstrate its practical usefulness by analyzing the real preferences of almost one hundred consumers considering mobile phone contracts. We also report the results of an extensive experimental study. The proposed method outperforms its counterpart, executing an independent estimation and the state-of-the-art approaches regarding predictive accuracy and preference similarity within identified customer groups. The performance improvements are more pronounced with larger sample sizes, smaller sets of items, and in contexts with reduced heterogeneity and increased consistency among consumers.

我们为消费者偏好分析引入了一个新颖的贝叶斯分层模型,解决了这一领域的两大难题。首先,该模型在个人和细分市场两个层面都考虑到了偏好的异质性。这样就能在量化不确定性的同时,为目标定位和定价决策提供可行的见解。其次,它结合了基于价值的概率排序,以处理不一致和稀疏的偏好数据。这样,它就能减轻认知偏差的影响,降低估计值的不确定性。所提出的方法通过分层先验对消费者的偏好进行稳健推断,允许灵活的参数学习,并从消息灵通的个人那里借用统计优势。我们通过分析近百名考虑签订移动电话合同的消费者的真实偏好,证明了该方法的实用性。我们还报告了广泛的实验研究结果。在预测准确性和已识别客户群的偏好相似性方面,所提出的方法优于其对应方法、独立估算执行方法和最先进的方法。在样本量较大、项目集较小以及消费者异质性降低和一致性提高的情况下,性能改进更为明显。
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引用次数: 0
Impacts of capacity redundancy and process flexibility on risk mitigation in e-waste recycling supply chain management 能力冗余和流程灵活性对电子废物回收供应链管理风险缓解的影响
IF 6.9 2区 管理学 Q1 Decision Sciences Pub Date : 2024-05-10 DOI: 10.1016/j.omega.2024.103110
Chong Liu, Jiaze Tang, Zhi-Hai Zhang

Recently Waste Electrical and Electronic equipment (WEEE) has become urgent environmental issues around the world. Generally, the e-waste recycling reverse supply chain (RSC) features higher uncertainties and complicated network structures, making the operation more difficult. Since the study on impact of hybrid uncertainty mitigation strategy in RSC is rare, we study the coupling effect of two strategies — capacity redundancy and process flexibility through the design of two hybrid strategies. A distributionally robust optimization model is proposed to handle both waste returns and resource yields uncertainties, and solved by a proposed Outer Approximation (OA) algorithm after an adaptive robust formulation. With numerical experiments based on real data implemented, our research finds conflict situation of using capacity redundancy and process flexibility strategies together. We also give guidelines for the use of hybrid strategies in RSC. We find that the optimal strategy changes as required service level increases. We also suggest moderate investment in capacity redundancy with long chain flexibility and resource centralization when applying hybrid strategy with optimal flexibility.

近年来,废弃电子电气设备(WEEE)已成为全球亟待解决的环境问题。一般来说,电子废弃物回收逆向供应链(RSC)具有不确定性较高、网络结构复杂等特点,增加了运营难度。由于混合不确定性缓解策略对 RSC 影响的研究较少,我们通过设计两种混合策略,研究了产能冗余和流程灵活性两种策略的耦合效应。我们提出了一个分布式鲁棒优化模型来处理废物回收和资源产量的不确定性,并通过自适应鲁棒表述后提出的外逼近(OA)算法进行求解。通过基于真实数据的数值实验,我们的研究发现了同时使用产能冗余和流程灵活性策略的冲突情况。我们还给出了在 RSC 中使用混合策略的指导原则。我们发现,随着所需服务水平的提高,最优策略也会发生变化。我们还建议,在采用具有最佳灵活性的混合策略时,适度投资于具有长链灵活性和资源集中化的容量冗余。
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引用次数: 0
Maximizing the number of satisfied charging demands of electric vehicles on identical chargers 最大限度地满足电动汽车在相同充电器上的充电需求
IF 6.9 2区 管理学 Q1 Decision Sciences Pub Date : 2024-05-09 DOI: 10.1016/j.omega.2024.103106
I. Zaidi , A. Oulamara , L. Idoumghar , M. Basset

This paper addresses the electric vehicle charging scheduling problem in a charging station with a limited overall power capacity and a limited number of chargers. Electric vehicle drivers submit their charging demands. Given the limited resources, these charging demands are either accepted or rejected and accepted demands must be satisfied. The objective of the scheduler is to maximize the number of satisfied demands. The paper provides theoretical results on the scheduling problem and proposes different linear programming models and heuristic methods to provide good-quality solutions in a shorter computational time.

本文探讨了在充电站总功率容量有限、充电器数量有限的情况下,电动汽车充电调度问题。电动汽车驾驶员提交充电需求。在资源有限的情况下,这些充电需求要么被接受,要么被拒绝,而被接受的需求必须得到满足。调度员的目标是使满足的需求数量最大化。本文提供了调度问题的理论结果,并提出了不同的线性规划模型和启发式方法,以在更短的计算时间内提供高质量的解决方案。
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引用次数: 0
Interplay between the agriculture firm’s guarantee strategy and the e-commerce platform’s loan strategy with risk averse farmers 农业公司的担保战略与电商平台的贷款战略在风险规避型农民中的相互作用
IF 6.9 2区 管理学 Q1 Decision Sciences Pub Date : 2024-05-09 DOI: 10.1016/j.omega.2024.103108
Qiang Lin , Zhenjie Shan , Wenhui Fu , Xiaogang Lin

Many agricultural firms procure products from smallholders and sell them on platforms by paying a proportional fee. Generally, smallholders lack capital for production, and e-commerce platforms can provide loans to them. However, smallholders are risk averse, leading them to make conservative production decisions. Additionally, smallholders face bankruptcy risk due to output uncertainty and the interest burden of platforms’ loans. These factors further adversely affect smallholders’ conservative decisions. To alleviate this situation, the firm can provide loan guarantees for smallholders. This study considers a supply chain consisting of risk-averse farmers, an agricultural firm, and an e-commerce platform. The firm first decides the number of farmers to provide guarantees, and then the platform sets loan interest rates for guaranteed and non-guaranteed farmers. Thereafter, the firm decides purchase prices, and each farmer decides his production input. Given the number of guaranteed farmers, we find that the platform will charge each farmer a positive loan interest if the proportional fee is small, but it will offer interest-free (non-negative) loans to guaranteed (non-guaranteed) farmers if the proportional fee is large. Additionally, with the increase in guaranteed farmers, the firm’s profit and the farmers’ utilities are not necessarily monotonic. We further show that guaranteeing a portion of farmers is always detrimental to the firm but may be better for all the farmers. Therefore, it is better for the firm to provide a guarantee to all farmers or just offer no guarantee to any farmer, depending on the magnitudes of proportional fees and the production input efficiency.

许多农业公司从小农户那里采购产品,并按比例支付费用后在平台上销售。一般来说,小农户缺乏生产资金,电子商务平台可以为他们提供贷款。然而,小农户规避风险,导致他们做出保守的生产决策。此外,由于产量的不确定性和平台贷款的利息负担,小农户面临破产风险。这些因素进一步影响了小农户的保守决策。为了缓解这种情况,公司可以为小农户提供贷款担保。本研究考虑了由风险规避型农户、农业公司和电商平台组成的供应链。公司首先决定提供担保的农户数量,然后由平台设定担保农户和非担保农户的贷款利率。之后,企业决定收购价格,每个农户决定自己的生产投入。考虑到担保农户的数量,我们发现,如果按比例收取的费用较少,平台将向每个农户收取正贷款利息,但如果按比例收取的费用较多,平台将向担保(非担保)农户提供无息(非负)贷款。此外,随着担保农户的增加,企业的利润和农户的效用不一定是单调的。我们进一步证明,为部分农户提供担保总是对公司不利,但对所有农户可能更好。因此,对企业来说,向所有农户提供担保或不向任何农户提供担保都更好,这取决于比例费用的大小和生产投入的效率。
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引用次数: 0
Multi-period portfolio choice under loss aversion with dynamic reference point in serially correlated market 序列相关市场中具有动态参考点的损失规避下的多期投资组合选择
IF 6.9 2区 管理学 Q1 Decision Sciences Pub Date : 2024-05-08 DOI: 10.1016/j.omega.2024.103103
Jianjun Gao , Yaoming Li , Yun Shi , Jinyan Xie

This paper explores a novel multi-period portfolio decision model for loss-averse investors with dynamically adapted reference points in a market with serially correlated returns. We demonstrate that the optimal policy is a piecewise linear function of the deviation between current wealth and reference level, and its slopes are a path-dependent function of the historical returns, in sharp contrast to the constant slopes generated by the simplified model that ignores the diminishing sensitivity and assumes independent returns. This distinctive characteristic significantly departs from the conventional V-shaped pattern of the risky position, leading to a more intricate nonlinear functional mapping. Our study underscores the potential pitfalls of relying on the simplified model and offers valuable insights for investors and practitioners seeking to formulate effective portfolio strategies under realistic market conditions. Furthermore, our simulation analysis indicates that the predictability of returns, coupled with a slight degree of diminishing sensitivity, may amplify the disposition effect. Lastly, we establish that the new policy also effectively addresses the multi-period mean-conditional-value-at-risk (CVaR) portfolio optimization problem in the context of correlated returns, thereby expanding the practical applications of our findings.

本文探讨了一个新颖的多期投资组合决策模型,该模型适用于在收益连续相关的市场中具有动态调整参考点的损失规避型投资者。我们证明,最优政策是当前财富与参考水平之间偏差的片断线性函数,其斜率是历史收益的路径依赖函数,这与忽略敏感性递减并假设收益独立的简化模型所产生的恒定斜率形成鲜明对比。这一显著特点大大偏离了风险头寸的传统 V 型模式,导致了更为复杂的非线性功能映射。我们的研究强调了依赖简化模型的潜在隐患,并为投资者和从业者在现实市场条件下制定有效的投资组合策略提供了宝贵的见解。此外,我们的模拟分析表明,收益的可预测性加上轻微程度的敏感性递减,可能会放大处置效应。最后,我们发现新政策还能有效解决相关回报背景下的多期平均条件风险价值(CVaR)投资组合优化问题,从而扩大了我们研究成果的实际应用范围。
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引用次数: 0
Data-driven Wasserstein distributionally robust dual-sourcing inventory model under uncertain demand 不确定需求下数据驱动的瓦瑟斯坦分布式稳健双源库存模型
IF 6.9 2区 管理学 Q1 Decision Sciences Pub Date : 2024-05-07 DOI: 10.1016/j.omega.2024.103112
Yun Geon Kim, Byung Do Chung

Dual-sourcing inventory management, which is aimed at replenishing inventory through two supply sources, has been extensively incorporated across various industries as it can mitigate supply chain related operational risks. Given the practical relevance of this framework, many dual-sourcing inventory models based on stochastic and robust optimization approaches have been developed. However, these approaches encounter challenges such as the curse of dimensionality or solution conservativeness. In this study, we developed a data-driven distributionally robust optimization model for dual-sourcing inventory management under uncertain demand conditions, in which partial information regarding the distribution of the uncertain demand is available. A tractable model was constructed to solve the problem, and an optimal solution was derived in a closed-form expression. Numerical experiments were conducted to evaluate the performance of the proposed model in comparison with benchmark models in terms of the order-, stock-, and rolling-horizon-related parameters and demand distributions. The results demonstrated the benefit of adopting the dual-sourcing strategy in inventory management based on the distributionally robust optimization approach. In addition, the proposed model outperformed the benchmark models in terms of mitigating the bullwhip effect.

双源库存管理的目的是通过两个供应源补充库存,它可以降低与供应链相关的运营风险,因此已被各行各业广泛采用。鉴于这一框架的实用性,许多基于随机和稳健优化方法的双源库存模型已被开发出来。然而,这些方法都遇到了维度诅咒或解决方案保守性等挑战。在本研究中,我们为不确定需求条件下的双源库存管理开发了一个数据驱动的分布稳健优化模型,在该模型中,不确定需求分布的部分信息是可用的。为解决该问题,我们构建了一个简单易行的模型,并以闭合形式求得了最优解。通过数值实验,评估了所提模型与基准模型在订单、库存和滚动远期相关参数及需求分布方面的性能比较。结果表明,在基于分布稳健优化方法的库存管理中采用双重采购策略是有益的。此外,在缓解牛鞭效应方面,所提出的模型优于基准模型。
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引用次数: 0
Integrated relief pre-positioning and procurement planning considering non-governmental organizations support and perishable relief items in a humanitarian supply chain network 考虑到人道主义供应链网络中的非政府组织支助和易腐救济物品的综合救济预置和采购规划
IF 6.9 2区 管理学 Q1 Decision Sciences Pub Date : 2024-05-07 DOI: 10.1016/j.omega.2024.103111
Alireza Khalili-Fard , Mojgan Hashemi , Alireza Bakhshi , Maziar Yazdani , Fariborz Jolai , Amir Aghsami

The escalating frequency and severity of disasters on a global scale have sparked inquiries into the efficacy of current disaster planning strategies in various scenarios. Despite the pivotal role of humanitarian supply chain planning in aiding impacted populations, much of the existing research is grounded in simplistic assumptions that limit their practicality. Addressing this gap, our proposed bi-objective model aligns response time and total cost, while also accommodating the collaboration between non-governmental organizations and governmental organizations to mirror real-world intricacies. This study comprehensively delves into various logistics aspects, encompassing pre- and post-disaster phases, including location, allocation, supplier selection, fleet size, supply contract, inventory, distribution, and transportation. This multifaceted approach enhances the model's suitability for managing genuine real-world emergencies. To mitigate disruption risks and unforeseen events, the model introduces pre-positioning, quantity flexibility contract, backup suppliers, and a multi-sourcing policy, thus enhancing the resilience and reliability of the logistics network. We present solutions for diverse scenarios through a scaled weighted sum method, while tackling uncertainty via a heuristic approach known as the backward scenario reduction method. Furthermore, to manage large-scale problems within an acceptable time frame, we propose an advanced hybrid algorithm. This algorithm synergizes a parallel differential evolution framework with reinforcement learning-enhanced local search mechanisms, aiming to improve both computational efficiency and solution accuracy. Finally, we validate the model's applicability through a real case study focusing on a flood scenario in Iran.

全球范围内灾害发生的频率和严重程度不断升级,引发了人们对当前灾害规划战略在各种情况下的有效性的探究。尽管人道主义供应链规划在援助受灾人口方面发挥着关键作用,但现有研究大多基于简单化的假设,限制了其实用性。为了弥补这一不足,我们提出的双目标模型将响应时间和总成本统一起来,同时还考虑到非政府组织和政府组织之间的合作,以反映现实世界的复杂性。本研究全面探讨了物流的各个方面,包括灾前和灾后阶段,包括位置、分配、供应商选择、车队规模、供应合同、库存、配送和运输。这种多层面的方法增强了模型在管理真实世界突发事件时的适用性。为了降低中断风险和意外事件,该模型引入了预置、数量弹性合同、备用供应商和多采购政策,从而提高了物流网络的弹性和可靠性。我们通过按比例加权求和法提出了不同情景下的解决方案,同时通过一种被称为 "后向情景还原法 "的启发式方法来解决不确定性问题。此外,为了在可接受的时间范围内管理大规模问题,我们提出了一种先进的混合算法。该算法将并行差分进化框架与强化学习增强的局部搜索机制协同作用,旨在提高计算效率和求解精度。最后,我们通过一个以伊朗洪水场景为重点的实际案例研究验证了该模型的适用性。
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引用次数: 0
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