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Technological change in water use: A mean-field game approach to optimal investment timing 用水技术变革:最佳投资时机的平均场博弈方法
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100225
Géraldine Bouveret , Roxana Dumitrescu , Peter Tankov

The need for clean water is expected to substantially increase while further reductions of water availability in sufficient quantity and quality are projected owing to climate change and anthropogenic activities. Accordingly, the debate on water security has recently intensified and reached the intergovernmental arena. Industry is, in particular, one of the largest (non-consumptive) water users, accountable for massive toxic wastewater discharges and facing stringent and costly environmental oversight. However, the management of reservoirs is intricate and operational research must be further expanded to design tools that enhance water security while improving operators’ profitability.

We therefore consider a game-theoretic framework to study the strategies adopted by a large group of similar producers sharing a water reservoir for their manufacturing activities. Each operator faces random demand for its outputs and chooses the optimal time to invest in a technology that ends its reliance on the reservoir. This technology introduces cost saving opportunities for the operator and benefits for the environment. Each producer therefore solves a so-called optimal stopping problem, and all problems are coupled through the reservoir level. We formulate the problem of finding a Nash equilibrium as a mean-field game (MFG) of optimal stopping. We then apply the model to the paper milling industry, an extensive water user facing a tightening of environmental regulations. This paper provides fresh insights into how to rethink the problem of technological change and water management, by offering an innovative application of operational research that builds on recent mathematical developments made in MFG theory.

预计对清洁水的需求将大大增加,而由于气候变化和人为活动,预计在足够数量和质量上可获得的水将进一步减少。因此,关于水安全的辩论最近愈演愈烈,并扩大到政府间领域。特别是工业是最大的(非消费)用水户之一,对大量有毒废水的排放负有责任,并面临严格和昂贵的环境监督。然而,水库的管理是复杂的,必须进一步扩大运筹学研究,设计出既能提高水安全,又能提高作业者盈利能力的工具。因此,我们考虑一个博弈论框架来研究一大批相似的生产者为他们的制造活动共享一个水库所采取的策略。每家油公司都面临着对其产量的随机需求,并选择最佳时间投资于一项技术,从而结束对油藏的依赖。该技术为作业者节省了成本,并为环境带来了好处。因此,每个生产商都解决了一个所谓的最优停止问题,所有问题都通过油藏水平耦合在一起。我们将寻找纳什均衡的问题表述为最优停止的平均场博弈(MFG)。然后,我们将该模型应用于造纸行业,这是一个面临日益严格的环境法规的广泛用水户。本文提供了如何重新思考技术变革和水管理问题的新见解,通过提供基于MFG理论中最近数学发展的运筹学的创新应用。
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引用次数: 0
A novel methodology employed for ranking and consolidating performance indicators in holding companies with multiple power plants based on multi-criteria decision-making method 基于多准则决策方法的多电厂控股公司绩效指标排序与整合新方法
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100254
C.A. Murad , M.M. Bellinello , A.J. Silva , A. Caminada Netto , G.F.M. de Souza , S.I. Nabeta

A large international energy corporation owning power operations in several countries, including several generation plants as well as transmission and distribution units in Brazil's energy matrix, adopts for quite some time now the policy that performance monitoring should be left to each individual operation's management. This decentralized approach is viewed as undoubtedly having a number of managerial advantages, so much, so that it is currently in force and performance indicators are being established locally. This approach, however, has the basic disadvantage that quantitative comparisons are hard to make between operations, i.e., adequate tactical comparative assessment at corporate level, with immediate and potential unfavorable implications. Therefore, the present work undertakes to investigate the possibility of consolidating a comprehensive set of indicators capable of accommodating more possibilities of comparison between different power generation plants. The research also employs an effective ranking method in order to take as much managerial advantage as possible of the new body of identified indicators. An application example involving a set of selected indicators is presented.

一家大型国际能源公司在几个国家拥有电力业务,包括巴西能源矩阵中的几个发电厂和输配电单位,该公司很长一段时间以来一直采取的政策是,绩效监测应留给每个单独的运营管理。这种分散的办法无疑被认为具有许多管理上的优点,因此目前正在实行,而且正在当地制订业绩指标。然而,这种方法有一个基本的缺点,即难以在各业务之间进行定量比较,即在公司一级进行适当的战术比较评估,具有直接和潜在的不利影响。因此,目前的工作是调查是否可能合并一套全面的指标,以便在不同发电厂之间进行更多的比较。该研究还采用了一种有效的排名方法,以便尽可能多地利用新的确定指标的管理优势。给出了一组选定指标的应用实例。
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引用次数: 0
Which rectangle sets have perfect packings? 哪些矩形集合有完美的包装?
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2021.100211
Florian Braam , Daan van den Berg

In the perfect rectangle packing problem, a set of rectangular items have to be placed inside a rectangular container without overlap or empty space. In this paper, we generate a large number of random instances and decide them all with an exact solving algorithm. Both an instance’s solution probability and its hardness measured in recursions or system time, seems to critically depend on tmax, a parameter in the generation procedure that assigns the maximally choosable random side lengths of items in the instance. We numerically characterize the solvability across instance sizes, and derive a rule for generating (un)solvable problem instances of arbitrary size.

在完美矩形包装问题中,一组矩形物品必须放置在一个矩形容器中,没有重叠或空白空间。在本文中,我们生成了大量的随机实例,并用一种精确求解算法来确定它们。实例的解决概率和它在递归或系统时间中测量的硬度似乎都严重依赖于tmax, tmax是生成过程中的一个参数,用于分配实例中项目的最大可选随机边长度。我们在数值上描述了跨实例大小的可解性,并推导了生成任意大小的(不可)可解问题实例的规则。
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引用次数: 5
Political districting without geography 没有地理的政治分区
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100227
Gerdus Benadè , Nam Ho-Nguyen , J.N. Hooker

Geographical considerations such as contiguity and compactness are necessary elements of political districting in practice. Yet an analysis of the problem without such constraints yields mathematical insights that can inform real-world model construction. In particular, it clarifies the sharp contrast between proportionality and competitiveness and how it might be overcome in a properly formulated objective function. It also reveals serious weaknesses of the much-discussed efficiency gap as a criterion for gerrymandering.

地理上的考虑,如邻近性和紧凑性,是实践中政治区划的必要因素。然而,在没有这些约束的情况下,对问题的分析产生了数学见解,可以为现实世界的模型构建提供信息。特别是,它澄清了比例性和竞争性之间的鲜明对比,以及如何在适当制定的目标函数中加以克服。它还揭示了备受讨论的效率差距作为不公正划分选区标准的严重弱点。
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引用次数: 0
Health lean management implementation in local health networks: A systematic literature review 卫生精益管理在地方卫生网络的实施:系统的文献综述
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100256
Anna Tiso, Caterina Pozzan, Chiara Verbano

Purpose

The aim of the paper is to discuss the current knowledge about Health Lean Management (LM) implementations extending the focus toward the unexplored setting of Local Health Networks (HNs). In particular, the study analyses the fundamental variables of LM implementations: context, project characteristics, the process of implementation, outcomes, and enablers.

Methodology

A systematic literature review has been conducted according to the PRISMA statement, selecting 70 relevant papers for the descriptive and content analysis.

Findings

The conducted analysis allowed to formulate a theoretical framework. It points out the hallmarks of HLM projects in LHNs, structuring the existing knowledge and highlighting the gaps.

Originality

This paper offers the first systematic overview of LM implementations in HNs. Addressing this gap, the study provides meaningful insights about LM projects in a new complex context, suggesting future research opportunities. New synergies between LM and care integration strategies have been investigated, with the purpose of improving the quality of care. From a managerial perspective, the formulated theoretical framework could support health providers with a synthesis of the best managerial practices for further implementations.

目的:本文的目的是讨论当前关于健康精益管理(LM)实施的知识,将重点扩展到未开发的本地健康网络(HNs)设置。特别是,该研究分析了LM实施的基本变量:环境、项目特征、实施过程、结果和推动者。方法根据PRISMA声明进行系统文献综述,选取70篇相关论文进行描述性和内容分析。所进行的分析可以形成一个理论框架。它指出了高管理项目在低收入国家的特点,构建了现有知识并突出了差距。这篇论文提供了在HNs中实现LM的第一个系统概述。针对这一差距,该研究为LM项目在新的复杂背景下提供了有意义的见解,并提出了未来的研究机会。LM和护理整合策略之间的新协同效应已被调查,目的是提高护理质量。从管理的角度来看,制定的理论框架可以通过综合最佳管理实践来支持保健提供者,以便进一步实施。
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引用次数: 3
Pricing decisions of online and offline retailers, each offering a competing benefit 线上和线下零售商的定价决策,每一个都提供竞争优势
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100231
Yael Perlman

This paper studies a duopolistic market consisting of a conventional offline retailer and an online retailer, each of whom offers a competing benefit (attribute): Specifically, the conventional retailer is superior in terms of social aspects of the shopping experience, such as helpfulness of salespeople, whereas the online retailer offers the possibility of rapid and convenient procurement. Importantly, customers are assumed to be heterogeneous in the extent to which they value each attribute. We first study a scenario of a fully-covered market, in which consumers’ valuations of the attributes are high enough that every consumer purchases a product from one of the channels. In this case, we derive closed-form expressions for the retailers’ pricing strategies, their expected profits, and their market shares. We find that, surprisingly, under some conditions, the online retailer's price is higher than the conventional retailer's, despite the lower costs incurred by the former. Next, we study the realistic scenario in which the market is not fully covered (i.e., consumers have the option to avoid purchasing altogether), and compare it with the fully-covered market scenario. Specifically, we identify conditions under which, at equilibrium, each consumer buys a product, regardless of consumers’ valuations of the attributes.

本文研究了一个由传统的线下零售商和在线零售商组成的双寡头市场,两者都提供了竞争利益(属性):具体来说,传统零售商在购物体验的社交方面具有优势,例如销售人员的帮助,而在线零售商提供了快速方便采购的可能性。重要的是,假设客户对每个属性的重视程度是不同的。我们首先研究了一个完全覆盖市场的场景,在这个场景中,消费者对属性的估值足够高,以至于每个消费者都从其中一个渠道购买产品。在这种情况下,我们推导出零售商的定价策略、预期利润和市场份额的封闭表达式。我们发现,令人惊讶的是,在某些情况下,网络零售商的价格高于传统零售商,尽管前者的成本较低。接下来,我们研究了市场未完全覆盖的现实情景(即消费者可以选择完全避免购买),并将其与完全覆盖的市场情景进行比较。具体来说,我们确定了在均衡状态下,每个消费者购买产品的条件,而不管消费者对产品属性的估值如何。
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引用次数: 3
An opaque selling scheme to reduce shortage and wastage in perishable inventory systems 一个不透明的销售方案,以减少易腐库存系统的短缺和浪费
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2021.100220
Katsunobu Sasanuma , Akira Hibiki , Thomas Sexton

Effective management of perishable inventory systems is often strewn with challenges, especially when a strong trade-off relationship exists between shortage and wastage of perishables: A smaller inventory increases the chance to lose sales (leading to higher expected shortage cost), while a larger inventory increases the chance to waste perishables (leading to higher expected wastage cost). The root cause of this strong trade-off relationship is high product demand variability. To mitigate the issue and reduce the cost of operating perishable inventory systems, some grocery stores utilize an opaque selling scheme: selling an anonymous product whose brand or exact specification is shielded from customers at the time of sale. The use of opaque products has now become a popular means to reduce shortage/wastage at grocery stores. However, there has been little discussion of the effectiveness of opaque schemes applied to perishable inventory systems.

In this paper, we propose an opaque scheme based on the balancing policy on demand, which tries to average out orders for products. We confirm both analytically and numerically that this opaque scheme effectively reduces product demand variability, thereby reducing both shortage and wastage for perishable inventory systems under a base-stock policy. We also present an analytical formula that reveals insights into the opaque scheme: The ratio between the opaque proportion and the coefficient of variation of product demands plays a key role to determine the effectiveness of our opaque scheme. Furthermore, we provide a rule of thumb to find the threshold opaque scheme parameters needed to achieve the maximum total cost savings for perishable inventory systems. We hope that many retailers selling perishables (e.g., fresh produce and baked goods) find the opaque scheme useful, implement it, and contribute to the reduction of the food wastage.

易腐品库存系统的有效管理通常充满挑战,特别是当易腐品短缺和浪费之间存在强烈的权衡关系时:较小的库存增加了失去销售的机会(导致更高的预期短缺成本),而较大的库存增加了浪费易腐品的机会(导致更高的预期浪费成本)。这种强烈权衡关系的根本原因是产品需求的高度可变性。为了缓解这个问题并降低易腐烂库存系统的运营成本,一些杂货店采用了不透明的销售方案:销售匿名产品,其品牌或确切规格在销售时对客户保密。使用不透明产品现在已经成为减少杂货店短缺/浪费的一种流行手段。然而,很少有人讨论适用于易腐库存系统的不透明方案的有效性。本文提出了一种基于需求平衡策略的不透明方案,该方案试图对产品的订单进行平均。我们在分析和数值上证实,这种不透明的方案有效地减少了产品需求的可变性,从而减少了基础库存政策下易腐库存系统的短缺和浪费。我们还提出了一个分析公式,揭示了对不透明方案的见解:不透明比例与产品需求变化系数之间的比率在确定不透明方案的有效性方面起着关键作用。此外,我们提供了一个经验法则,以找到易腐库存系统实现最大总成本节约所需的阈值不透明方案参数。我们希望许多销售易腐食品(如新鲜农产品和烘焙食品)的零售商发现不透明计划是有用的,并实施它,并为减少食物浪费做出贡献。
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引用次数: 3
Optimization of subsurface models with multiple criteria using Lexicase Selection 基于Lexicase选择的多准则地下模型优化
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100237
Yifan He , Claus Aranha , Antony Hallam , Romain Chassagne

Seismic History Matching (SHM) is a key problem in the geosciences community, requiring optimal parameters of a subsurface model that match the observed data from multiple in-situ measurements. Therefore, the SHM problems are usually solved with Multi-Objective Evolutionary Algorithms (MOEAs). This group of algorithms optimize multiple objectives simultaneously, considering the trade-off between objectives. However, SHM requires the solutions that are good on all objectives rather than a trade-off. In this study, we propose a Differential Evolution algorithm using Lexicase Selection to solve the SHM problems. Unlike the MOEAs, this selection method pushes the solutions to perform well on all objectives. We compared this method with two MOEAs, namely Non-dominated Sorting Genetic Algorithm II and Reference Vector-guided Evolutionary Algorithm, on two SHM problems. The results show that this method generates more solutions near the ground truth.

地震历史匹配(SHM)是地球科学界的一个关键问题,它要求地下模型的最佳参数与多次原位测量的观测数据相匹配。因此,通常使用多目标进化算法(moea)来解决SHM问题。这组算法同时优化多个目标,考虑目标之间的权衡。然而,SHM需要对所有目标都很好的解决方案,而不是权衡取舍。在这项研究中,我们提出了一种使用Lexicase选择的差分进化算法来解决SHM问题。与moea不同,这种选择方法促使解决方案在所有目标上都表现良好。我们将该方法与非支配排序遗传算法II和参考向量引导进化算法两种moea进行了比较,以解决两个SHM问题。结果表明,该方法能生成更多接近地面真值的解。
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引用次数: 0
Closed-form portfolio optimization under GARCH models GARCH模型下的封闭式投资组合优化
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2021.100216
Marcos Escobar-Anel , Maximilian Gollart , Rudi Zagst

This paper develops an approximate closed-form optimal portfolio allocation formula for a spot asset whose variance follows a GARCH(1,1) process. We consider an investor with constant relative risk aversion (CRRA) utility who wants to maximize the expected utility from terminal wealth under a Heston and Nandi (2000) GARCH (HN-GARCH) model. Based on an approximation of the log returns from Campbell and Viceira (1999), we obtain closed formulas for the optimal investment strategy, the value function and the optimal terminal wealth. We find the optimal strategy is independent of the development of the risky asset, and the solution converges to that of a continuous-time Heston stochastic volatility model (Kraft, 2005), albeit under additional conditions. For a daily trading scenario, the optimal solutions are quite robust to variations in the parameters, while the numerical wealth equivalent loss (WEL) analysis shows good performance of the Heston solution, with a quite inferior performance of the Merton solution.The solution is extended to two dimensions under the multivariate affine GARCH in Escobar-Anel et al. (2020).

对于方差服从GARCH(1,1)过程的现货资产,给出了近似的封闭式最优投资组合配置公式。在Heston和Nandi (2000) GARCH (HN-GARCH)模型下,我们考虑一个具有恒定相对风险厌恶(CRRA)效用的投资者,他希望最大化终端财富的预期效用。基于Campbell和Viceira(1999)对对数回报的近似,我们得到了最优投资策略、价值函数和最优终端财富的封闭公式。我们发现最优策略与风险资产的发展无关,并且在附加条件下,其解收敛于连续时间Heston随机波动率模型(Kraft, 2005)的解。对于日常交易场景,最优解对参数变化具有较强的鲁棒性,而数值财富等效损失(WEL)分析表明,赫斯顿解的性能较好,默顿解的性能较差。Escobar-Anel et al.(2020)在多元仿射GARCH下将该解扩展到二维。
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引用次数: 5
A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relations 基于区间2型梯形毕达哥拉斯模糊偏好关系的未知模糊优先向量签名距离医疗诊断排序方法
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100259
Muhammad Touqeer , Sadaf Shaheen , Tahira Jabeen , Saleh Al Sulaie , Dumitru Baleanu , Ali Ahmadian

In many of our real life problems, we often come across situations where there is no information about the priority weights which make it difficult to analyze the objects under consideration. Instead of employing simple fuzzy sets, “interval type-2 trapezoidal pythagorean fuzzy preference relations (IT2TrPFPRs)” can be used which have better representational power and ability to cope with uncertain situations. The approach discussed in this article is an effective tool for managing multiple criteria group decision-making situations with completely unknown priority weights modeled as IT2TrPFPRs. To aggregate the opinion of multiple decision-makers, a hybrid averaging operation based on weighted averaging and ordered weighted averaging (OWA) operations is employed for a collective decision environment. To calculate the fuzzy priority weight vectors in case of completely unknown environment, we construct a non-linear optimization model. An integrated optimization model based on a new signed distance-based closeness coefficients approach is employed to determine the priority ranking of alternatives. Feasibility of the proposed technique is discussed with an implementation of patient centered medicine system for choosing the appropriate treatment method. Moreover, a comparative investigation with previous approaches is conducted to demonstrate the effectiveness of the given approach.

在我们现实生活中的许多问题中,我们经常遇到没有关于优先级权重的信息的情况,这使得分析所考虑的对象变得困难。可以使用“区间型-2梯形毕达哥拉斯模糊偏好关系(IT2TrPFPRs)”代替简单模糊集,它具有更好的表征能力和应对不确定情况的能力。本文中讨论的方法是一种有效的工具,用于管理具有完全未知优先级权重的多标准组决策情况(建模为it2trpfpr)。为了聚合多个决策者的意见,在集体决策环境中采用基于加权平均和有序加权平均(OWA)操作的混合平均操作。为了在完全未知的环境下计算模糊优先级权重向量,我们构造了一个非线性优化模型。采用一种新的基于符号距离的接近系数方法的集成优化模型来确定备选方案的优先级。并结合以患者为中心的医疗系统的实施,讨论了该技术的可行性,以选择合适的治疗方法。此外,与以往的方法进行了比较调查,以证明该方法的有效性。
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引用次数: 2
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Operations Research Perspectives
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