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An Iterated Local Search Heuristic for the Staff Scheduling Problem for Part-Time Employees in Japan 日本兼职员工调度问题的迭代局部搜索启发式算法
Pub Date : 2021-08-31 DOI: 10.1142/s0217595921500378
Wei Wu, N. Katoh, A. Ikegami
In this paper, we introduce a mathematical programming model for solving a staff scheduling problem based on one-day duties (task patterns) of individual staff members. The model can accommodate various service types, management policies, and staff preferences. We first enumerate all feasible one-day duties and propose an iterated local search approach that incorporates various methodologies, including a size-reduction method and a very large-scale neighborhood search. For the very large-scale neighborhood search, we design a dynamic programming method that aims to find the most improved schedule and can be used in the rescheduling stage. Computational results show that the model and the proposed algorithm perform well for real-world instances in Japan.
在本文中,我们引入了一个数学规划模型来解决基于单个员工一天职责(任务模式)的员工调度问题。该模型可以适应各种服务类型、管理策略和员工偏好。我们首先列举了所有可行的一天任务,并提出了一种迭代的局部搜索方法,该方法结合了各种方法,包括缩小方法和非常大规模的邻居搜索。对于非常大规模的邻域搜索,我们设计了一种动态规划方法,旨在找到最改进的调度,并可用于重调度阶段。计算结果表明,该模型和算法在日本的实际实例中表现良好。
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引用次数: 0
A Replenishment Inventory Model with a Stock-Dependent Demand and Age-Stock-Dependent Cost Functions in a Random Environment 随机环境下需求依赖库存、成本依赖库存年龄函数的补货库存模型
Pub Date : 2021-08-20 DOI: 10.1142/s0217595921500354
Y. Barron
This paper investigates an [Formula: see text] continuous-review perishable inventory model with a stock-dependent Poisson demand process, full backordering (with an extension for lost sales) and uncertainty in lead time and shelf life. Four types of costs are considered: a fixed cost of an order and each outdated item; age-dependent costs of an item (i.e., holding and salvage costs), given by a function of its remaining shelf life; and a delay cost of a backlogged demand unit, which is a function of its delay duration. Applying the supplementary variable technique, we obtain the joint probability-density function of the number of items in the system and the remaining time and thereby obtain the optimal parameters minimizing the long-run average total cost. Numerical experiments show that supply chain profits are enhanced by integrating the age components into replenishment decisions, and ignoring the shelf age- and delay-dependent costs may result in a substantial loss (up to 25%). It further appeared that estimating the lead-time distribution by an exponential one is significantly more costly, in particular as the c.v. differs from 1. In contrast, an exponential shelf life may provide a good heuristic for other shelf-life distributions.
本文研究了一个具有库存依赖泊松需求过程、完全延期订货(含销售损失的延伸)和交货时间和保质期不确定性的连续评审易腐库存模型。考虑了四种类型的成本:一个订单和每个过期物品的固定成本;物品与使用年限有关的成本(即持有和打捞成本),由其剩余保质期的函数给出;以及积压需求单元的延迟成本,它是其延迟时间的函数。利用补充变量技术,得到了系统中物品数量与剩余时间的联合概率-密度函数,从而得到了使长期平均总成本最小的最优参数。数值实验表明,在补货决策中考虑货架年龄因素可以提高供应链利润,忽略货架年龄和延迟相关成本可能导致大量损失(高达25%)。进一步表明,通过指数分布来估计交货时间分布的成本要高得多,特别是当c.v.不同于1时。相反,指数型保质期可以为其他保质期分布提供很好的启发。
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引用次数: 5
Iterative Multi-Attribute Procurement Auction with Decision Support for Bid Formulation 投标制定决策支持的迭代多属性采购拍卖
Pub Date : 2021-08-16 DOI: 10.1142/s0217595921500366
T. Chetan, M. Jenamani, S. P. Sarmah
Iterative multi-attribute reverse auctions in practice create certain difficulties for both the buyer and participating bidders. While the buyer faces the problem of creating the right attribute weights, the bidders have difficulty in adjusting the attribute values in each round. In this paper, we present an iterative multi-attribute reverse auction mechanism based on integrated data envelopment analysis (DEA) and best–worst method (BWM) with an objective of reducing the intervention of the buyer in the determination of the winner and also easing up the preference elicitation process. Unlike the typical scoring auctions, the proposed mechanism does not require the buyer to estimate the characteristics of the participating sellers in order to determine the optimal scoring function. As there will be no other intervention from the buyer during the winner determination process, the proposed method makes the procurement process impartial and corruption-free. Besides solving the buyer’s problem, the proposed mechanism is also associated with an optimal bid determination method (OBDM) to assist the sellers in formulating improvised bids in iterative rounds of the auction. Simulation experiments show that the proposed OBDM benefits both the buyer and sellers. For the buyer, it provides higher expected utility and attribute values as per his preferences; for the seller, it gives a better expected profit and a higher probability of winning.
实践中的迭代式多属性反向拍卖给买方和投标方都带来了一定的困难。买方面临着创建正确的属性权重的问题,而竞标方在每一轮中都难以调整属性值。本文提出了一种基于综合数据包络分析(DEA)和最佳-最差法(BWM)的迭代多属性反向拍卖机制,旨在减少买方对获胜者确定的干预,并简化偏好激发过程。与典型的计分拍卖不同,所提出的机制不需要买方估计参与卖方的特征,以确定最优计分函数。由于在确定获胜者的过程中不会有买方的其他干预,因此所提出的方法使采购过程公正且无腐败。除了解决买方的问题外,所提出的机制还与最优出价确定方法(OBDM)相关联,以帮助卖方在迭代拍卖中制定临时出价。仿真实验表明,所提出的OBDM对买卖双方都有利。对于买方而言,根据其偏好,它提供了更高的期望效用和属性值;对于卖方来说,它会带来更好的预期利润和更高的获胜概率。
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引用次数: 1
An Ordinal Weighted EDM Model for Nonmetric Multidimensional Scaling 非度量多维标度的有序加权EDM模型
Pub Date : 2021-08-06 DOI: 10.1142/s0217595921500330
Qing-Na Li, Chi Zhang, Mengzhi Cao
Multidimensional scaling (MDS) is to recover a set of points by making use of noised pairwise Euclidean distances. In some situations, the observed Euclidean distances may contain large errors or even missing values. In such cases, the order of the distances is far more important than their magnitude. Non-metric multidimensional scaling (NMDS) is then to deal with this problem by taking use of the ordinal information. The challenge of NMDS is to tackle the large number of ordinal constraints on distances (for [Formula: see text] points, this will be of [Formula: see text]), which will slow down existing numerical algorithms. In this paper, we propose an ordinal weighted Euclidean distance matrix model for NMDS. By designing an ordinal weighted matrix, we get rid of the large number of ordinal constraints and tackle the ordinal constraints in a soft way. We then apply our model to image ranking. The key insight is to view the image ranking problem as NMDS in the kernel space. We conduct extensive numerical test on two state-of-the-art datasets: FG-NET aging dataset and MSRA-MM dataset. The results show the improvement of the proposed approach over the existing methods.
多维尺度(MDS)是利用带噪声的两两欧氏距离来恢复一组点。在某些情况下,观测到的欧几里得距离可能包含很大的误差甚至缺失值。在这种情况下,距离的顺序远比它们的大小重要。非度量多维尺度(NMDS)利用有序信息来解决这一问题。NMDS的挑战在于处理大量关于距离的有序约束(对于[公式:见文本]点,这将是[公式:见文本]),这将减慢现有的数值算法。本文提出了一种NMDS的有序加权欧氏距离矩阵模型。通过设计一个有序的加权矩阵,我们摆脱了大量的有序约束,并以一种软的方式处理有序约束。然后我们将我们的模型应用于图像排序。关键的洞察力是将图像排序问题视为内核空间中的NMDS。我们对两个最先进的数据集进行了广泛的数值测试:FG-NET老化数据集和MSRA-MM数据集。结果表明,该方法比现有方法有了改进。
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引用次数: 0
Proximal Gradient-Type Algorithms for a Class of Bilevel Programming Problems 一类双层规划问题的邻域梯度型算法
Pub Date : 2021-08-06 DOI: 10.1142/s0217595921500391
Dan Li, Shuang Chen, Liping Pang
A class of proximal gradient-type algorithm for bilevel nonlinear nondifferentiable programming problems with smooth substructure is developed in this paper. The original problem is approximately reformulated by explicit slow control technique to a parameterized family function which makes full use of the information of smoothness. At each iteration, we only need to calculate one proximal point analytically or with low computational cost. We prove that the accumulation iterations generated by the algorithms are solutions of the original problem. Moreover, some results of complexity of the algorithms are presented in convergence analysis. Numerical experiments are implemented to verify the efficiency of the proximal gradient algorithms for solving this kind of bilevel programming problems.
本文研究了一类具有光滑子结构的二阶非线性不可微规划问题的近端梯度型算法。利用显式慢速控制技术将原问题近似地转化为充分利用平滑信息的参数化族函数。在每次迭代中,我们只需要解析地计算一个近点或计算成本低。证明了算法产生的累积迭代是原问题的解。在收敛性分析中给出了算法复杂度的一些结果。通过数值实验验证了近端梯度算法求解这类双层规划问题的有效性。
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引用次数: 0
Online Pricing Strategy with Considering Consumers' Fairness Concerns 考虑消费者公平问题的网络定价策略
Pub Date : 2021-08-06 DOI: 10.1142/s0217595921400327
Liu Yang, Yuanyuan Zheng, Jia-wen Fan, Shaozeng Dong
The development of emerging technologies, such as advanced information system, social media, and blockchain, has significantly changed consumers’ behaviors in relation to online purchase. Having access to the historical price information, consumers are able to compare the current price with the historical prices and may raise fairness concerns in the comparison process. We investigate the impacts of consumers’ fairness concerns on retailers’ pricing strategies in a two-stage model. We show that when the retailer uses uniform pricing strategy, consumers’ fairness concerns induce the retailer to decrease product price. As a consequence, the market demand expands and the retailer’s profit reduces. When the retailer adopts multi-stage pricing strategy, we find that consumers’ fairness concerns are not always harmful to the retailer’s profit. Under certain conditions, the retailer can benefit from consumers’ fairness concerns. Particularly, the product price in the first period increases, but the price in the second period and the market demand could be increased or decreased, depending on the situations.
先进的信息系统、社交媒体、区块链等新兴技术的发展,极大地改变了消费者的网购行为。有了历史价格信息,消费者可以将当前价格与历史价格进行比较,并可能在比较过程中提出公平性问题。本文采用两阶段模型研究了消费者公平关切对零售商定价策略的影响。结果表明,当零售商采用统一定价策略时,消费者的公平考虑促使零售商降低产品价格。因此,市场需求扩大,零售商的利润减少。当零售商采用多阶段定价策略时,我们发现消费者的公平关切并不一定会对零售商的利润造成损害。在一定条件下,零售商可以从消费者对公平的关注中获益。特别是,第一阶段的产品价格上涨,但第二阶段的价格和市场需求可以根据情况增加或减少。
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引用次数: 1
A Computational Approach to Optimal Control Problems with Almost Smooth Controls 一类几乎光滑控制的最优控制问题的计算方法
Pub Date : 2021-07-27 DOI: 10.1142/s0217595921400340
Ying Zhang, Zhaoyang Zhang, Yingtao Xu
In this paper, we consider a class of optimal control problems involving continuous control and state inequality constraints where the control is almost smooth. We first employ the control parametrization technique via approximating the control signal by a piecewise linear function. Then, we develop a time scaling transformation procedure for transforming the approximate problem into an equivalent problem that can be solved readily using conventional methods. On this basis, a novel exact penalty function method is constructed by appending penalized constraint violations to the cost function. The gradient formulas and convergent properties ensure that the transformed unconstrained optimal parameter selection problems can be solved by existing optimization algorithms or software packages. Finally, an example is solved showing the effectiveness and applicability of the approach proposed.
本文考虑一类包含连续控制和状态不等式约束的最优控制问题,其中控制几乎是光滑的。我们首先采用控制参数化技术,通过分段线性函数逼近控制信号。然后,我们开发了一种时间尺度变换程序,将近似问题转化为可以使用常规方法轻松求解的等效问题。在此基础上,构造了一种新的精确惩罚函数方法,在代价函数上附加惩罚约束违例。梯度公式和收敛性保证了转换后的无约束最优参数选择问题可以用现有的优化算法或软件包解决。最后通过算例验证了该方法的有效性和适用性。
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引用次数: 0
Cross-Efficiency Evaluation Method Taking Management Objectives as Reference Points from Peer Perspective 同行视角下以管理目标为参照点的交叉效率评价方法
Pub Date : 2021-07-27 DOI: 10.1142/s0217595921500408
Hailiu Shi, Shengqun Chen, Yingming Wang, Yan Huang
According to the management by objectives (MBO) theory, performance evaluations should take into account the achievement of management objectives (MOs). The most commonly used performance evaluation method — the cross-efficiency evaluation method — seldom considers the role of MOs as a reference point. According to the prospect theory, decision-makers underestimate the benefits that exceed the reference point; they also exaggerate the losses that fall below the reference point. This irrational psychology is more obvious when evaluating the performance evaluation of peers. As such, this paper proposes a cross-efficiency evaluation method based on prospect theory, which takes MOs as a reference point from a peer perspective. First, taking MOs as reference points, a decision-making unit (DMU) chooses a set of weights for each peer, in order to maximize or minimize the prospects of the peer, according to the benevolent or aggressive attitude of the DMU. In order to improve the adaptability of the method, the precise number of MOs is further extended to be an interval number. Finally, the relationship between models, which are based on precise MOs and interval MOs, is illustrated by propositions. Finally, numerical examples are provided to illustrate the applications of the proposed cross-efficiency evaluation method.
根据目标管理(MBO)理论,绩效评价应考虑管理目标的实现情况。目前最常用的绩效评价方法——交叉效率评价方法,很少考虑组织管理组织作为参考点的作用。根据前景理论,决策者低估了超过参考点的收益;他们还夸大了低于参考点的损失。这种非理性心理在评价同伴的绩效评价时表现得更为明显。为此,本文提出了一种基于前景理论的交叉效率评价方法,该方法从同行视角出发,以最大收益为参考点。首先,决策单元(decision-making unit, DMU)以MOs为参考点,根据决策单元的仁慈态度或攻击性态度,为每个同伴选择一组权重,以最大化或最小化同伴的前景。为了提高该方法的适应性,将MOs的精确数进一步扩展为区间数。最后,用命题说明了基于精确模态和区间模态的模型之间的关系。最后,通过数值算例说明了交叉效率评价方法的应用。
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引用次数: 1
Impact of RFID Technology on Coordination of a Three-Tier Fresh Product Supply Chain RFID技术对三层生鲜产品供应链协调的影响
Pub Date : 2021-07-27 DOI: 10.1142/s0217595921400339
Qiongyi Zheng, Bin Hu, T. Fan, Chang Xu, Xiaolong Li
This paper focuses on the impact of radio-frequency identification (RFID) technology adoption on supply chain coordination. We consider a three-tier supply chain consisting of one supplier, one transporter and one retailer with centralized and decentralized decision-making. Considering the factors of RFID tag cost and product freshness, two scenarios — with RFID and without RFID — are analyzed. In the decentralized supply chain, a revenue-sharing contract is established to explore each partner’s decisions on ordering quantity, wholesale price and profits. The results show that (1) the tag cost of RFID has different effects on the pricing decisions, ordering quantity and profit of an FPSC, and if the amount of transportation time compression increases, the range of the tag cost’s boundary value will be wider when adopting RFID technology; (2) when the members of an FPSC choose the optimal wholesale price, optimal initial fare and appropriate revenue-sharing coefficient, the FPSC can achieve a win–win result; and (3) the amount of transportation time compression has a positive correlation with the expected profit of the supplier, transporter and retailer but has a negative correlation with loss of the product.
本文主要研究射频识别(RFID)技术的采用对供应链协调的影响。我们考虑一个由一个供应商、一个运输商和一个零售商组成的三层供应链,具有集中和分散的决策。考虑RFID标签成本和产品新鲜度等因素,分析了有RFID和无RFID两种情况。在去中心化供应链中,建立收益共享契约,探讨合作伙伴在订货数量、批发价格和利润方面的决策。结果表明:(1)RFID标签成本对FPSC的定价决策、订货量和利润有不同程度的影响,采用RFID技术时,如果运输时间压缩量增加,标签成本边界值的范围会变宽;(2)当FPSC成员选择最优的批发价格、最优的初始票价和适当的收益分享系数时,FPSC可以实现双赢;(3)运输时间压缩量与供应商、运输商和零售商的期望利润呈正相关,与产品损失呈负相关。
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引用次数: 0
Equilibrium Pricing, Advertising, and Quality Strategies in a Platform Service Supply Chain 平台服务供应链中的均衡定价、广告和质量策略
Pub Date : 2021-07-16 DOI: 10.1142/S0217595921400315
Yong He, Yanan Yu, Zhongyuan Wang, Henry Xu
Online-to-Offline service platforms are rising with the development of e-commerce and the increasing need for service. Taking the hospitality and tourism industries as typical examples, this paper considers a platform service supply chain, where a leading hotel is responsible for offline service, and a following platform is in charge of pricing, online service, and advertising investment. Three decision modes (i.e., decentralized, cost-sharing, and integrated) for the platform service supply chain are investigated. We derive the optimal service levels for the hotel and the platform, advertising investment, and retail price in each mode. Our analyses indicate that perceived service quality and brand image vary over time, and they gradually converge to a steady-state. The cost-sharing mode can be achieved if the hotel can obtain enough profit per unit. Once the cost-sharing mode is achieved, it can help improve perceived service quality and brand image, which further increases both the hotel and the platform’s profits. However, the integrated mode generates the best-perceived service quality, brand image, supply chain performance, and the lowest price.
随着电子商务的发展和服务需求的增加,线上到线下服务平台正在兴起。本文以酒店和旅游行业为典型案例,考虑一个平台式服务供应链,其中领先的酒店负责线下服务,其次的平台负责定价、线上服务和广告投资。研究了平台服务供应链的分散、成本分担和集成三种决策模式。我们得出了每种模式下酒店和平台的最优服务水平、广告投入和零售价格。我们的分析表明,感知服务质量和品牌形象随着时间的推移而变化,并逐渐收敛到一个稳定的状态。如果酒店能够获得足够的单位利润,就可以实现成本分担模式。一旦实现了成本分担模式,可以帮助提升感知服务质量和品牌形象,从而进一步提高酒店和平台的利润。然而,整合模式产生了最好的感知服务质量、品牌形象、供应链绩效和最低的价格。
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引用次数: 5
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Asia Pac. J. Oper. Res.
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