Pub Date : 2024-09-21DOI: 10.1007/s10479-024-06245-5
Bruce Golden, Linus Schrage, Douglas Shier, Lida Anna Apergi
Linear programming has had a tremendous impact in the modeling and solution of a great diversity of applied problems, especially in the efficient allocation of resources. As a result, this methodology forms the backbone of introductory courses in operations research. What students, and others, may not appreciate is that linear programming transcends its linear nomenclature and can be applied to an even wider range of important practical problems. The objective of this article is to present a selection, and just a selection, from this range of problems that at first blush do not seem amenable to linear programming formulation. The exposition focuses on the most basic models in these selected applications, with pointers to more elaborate formulations and extensions. Thus, our intent is to expand the modeling awareness of those first encountering linear programming. In addition, we hope this article will be of interest to those who teach linear programming and to seasoned academics and practitioners, alike.
{"title":"The unexpected power of linear programming: an updated collection of surprising applications","authors":"Bruce Golden, Linus Schrage, Douglas Shier, Lida Anna Apergi","doi":"10.1007/s10479-024-06245-5","DOIUrl":"10.1007/s10479-024-06245-5","url":null,"abstract":"<div><p>Linear programming has had a tremendous impact in the modeling and solution of a great diversity of applied problems, especially in the efficient allocation of resources. As a result, this methodology forms the backbone of introductory courses in operations research. What students, and others, may not appreciate is that linear programming transcends its linear nomenclature and can be applied to an even wider range of important practical problems. The objective of this article is to present a selection, and just a selection, from this range of problems that at first blush do not seem amenable to linear programming formulation. The exposition focuses on the most basic models in these selected applications, with pointers to more elaborate formulations and extensions. Thus, our intent is to expand the modeling awareness of those first encountering linear programming. In addition, we hope this article will be of interest to those who teach linear programming and to seasoned academics and practitioners, alike.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"343 2021-2023)","pages":"573 - 605"},"PeriodicalIF":4.4,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10479-024-06245-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-19DOI: 10.1007/s10479-024-06252-6
Abdelali Gabih, Hakam Kondakji, Ralf Wunderlich
{"title":"Correction: Power utility maximization with expert opinions at fixed arrival times in a market with hidden gaussian drift","authors":"Abdelali Gabih, Hakam Kondakji, Ralf Wunderlich","doi":"10.1007/s10479-024-06252-6","DOIUrl":"10.1007/s10479-024-06252-6","url":null,"abstract":"","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"341 2-3","pages":"1363 - 1363"},"PeriodicalIF":4.4,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10479-024-06252-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142438864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-19DOI: 10.1007/s10479-024-06226-8
Lasse Bohlen, Julian Rosenberger, Patrick Zschech, Mathias Kraus
In healthcare, especially within intensive care units (ICU), informed decision-making by medical professionals is crucial due to the complexity of medical data. Healthcare analytics seeks to support these decisions by generating accurate predictions through advanced machine learning (ML) models, such as boosted decision trees and random forests. While these models frequently exhibit accurate predictions across various medical tasks, they often lack interpretability. To address this challenge, researchers have developed interpretable ML models that balance accuracy and interpretability. In this study, we evaluate the performance gap between interpretable and black-box models in two healthcare prediction tasks, mortality and length-of-stay prediction in ICU settings. We focus specifically on the family of generalized additive models (GAMs) as powerful interpretable ML models. Our assessment uses the publicly available Medical Information Mart for Intensive Care dataset, and we analyze the models based on (i) predictive performance, (ii) the influence of compact feature sets (i.e., only few features) on predictive performance, and (iii) interpretability and consistency with medical knowledge. Our results show that interpretable models achieve competitive performance, with a minor decrease of 0.2–0.9 percentage points in area under the receiver operating characteristic relative to state-of-the-art black-box models, while preserving complete interpretability. This remains true even for parsimonious models that use only 2.2 % of patient features. Our study highlights the potential of interpretable models to improve decision-making in ICUs by providing medical professionals with easily understandable and verifiable predictions.
在医疗保健领域,尤其是在重症监护室(ICU)内,由于医疗数据的复杂性,医疗专业人员做出明智的决策至关重要。医疗分析旨在通过先进的机器学习(ML)模型(如增强决策树和随机森林)生成准确的预测,从而为这些决策提供支持。虽然这些模型经常能对各种医疗任务做出准确预测,但它们往往缺乏可解释性。为了应对这一挑战,研究人员开发了可解释的 ML 模型,在准确性和可解释性之间取得了平衡。在本研究中,我们评估了可解释模型和黑盒模型在两项医疗预测任务(重症监护室的死亡率和住院时间预测)中的性能差距。我们特别关注作为强大的可解释 ML 模型的广义加法模型(GAM)系列。我们的评估使用了公开的重症监护医疗信息集市数据集,并根据以下几个方面对模型进行了分析:(i) 预测性能;(ii) 紧凑型特征集(即只有少数特征)对预测性能的影响;(iii) 可解释性以及与医学知识的一致性。我们的研究结果表明,可解释模型在保持完全可解释性的同时,还能获得有竞争力的性能,与最先进的黑盒模型相比,接收器操作特征下面积略微下降了 0.2-0.9 个百分点。即使是仅使用 2.2% 患者特征的简约模型,情况也是如此。我们的研究强调了可解释模型的潜力,它能为医疗专业人员提供易于理解和验证的预测,从而改善重症监护室的决策。
{"title":"Leveraging interpretable machine learning in intensive care","authors":"Lasse Bohlen, Julian Rosenberger, Patrick Zschech, Mathias Kraus","doi":"10.1007/s10479-024-06226-8","DOIUrl":"https://doi.org/10.1007/s10479-024-06226-8","url":null,"abstract":"<p>In healthcare, especially within intensive care units (ICU), informed decision-making by medical professionals is crucial due to the complexity of medical data. Healthcare analytics seeks to support these decisions by generating accurate predictions through advanced machine learning (ML) models, such as boosted decision trees and random forests. While these models frequently exhibit accurate predictions across various medical tasks, they often lack interpretability. To address this challenge, researchers have developed interpretable ML models that balance accuracy and interpretability. In this study, we evaluate the performance gap between interpretable and black-box models in two healthcare prediction tasks, mortality and length-of-stay prediction in ICU settings. We focus specifically on the family of generalized additive models (GAMs) as powerful interpretable ML models. Our assessment uses the publicly available Medical Information Mart for Intensive Care dataset, and we analyze the models based on (i) predictive performance, (ii) the influence of compact feature sets (i.e., only few features) on predictive performance, and (iii) interpretability and consistency with medical knowledge. Our results show that interpretable models achieve competitive performance, with a minor decrease of 0.2–0.9 percentage points in area under the receiver operating characteristic relative to state-of-the-art black-box models, while preserving complete interpretability. This remains true even for parsimonious models that use only 2.2 % of patient features. Our study highlights the potential of interpretable models to improve decision-making in ICUs by providing medical professionals with easily understandable and verifiable predictions.</p>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"19 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-18DOI: 10.1007/s10479-024-06228-6
Abdolreza Roshani, Philip Walker-Davies, Glenn Parry
With increased globalisation supply chain (SC) disruption significantly affects people, organisations and society. Supply chain network design (SCND) reduces the effects of disruption, employing mitigation strategies such as extra capacity and flexibility to make SCs resilient. Currently, no systematic literature review classifies mitigation strategies for SCND. This paper systematically reviews the literature on SCND, analysing proposed mitigation strategies and the methods used for their integration into quantitative models. First to understand the key failure drivers SCND literature is categorised using geography, with local, regional or global disruptions linked to vulnerable sections of a SC. Second, the strategies used in mathematical models to increase SC resilience are categorized as proactive, reactive, or SC design quality capabilities. Third, the relative performance of mitigation strategies is analysed to provide a comparison, identifying the most effective strategies in given contexts. Forth, mathematical modelling techniques used in resilient SCND are reviewed, identifying how strategies are integrated into quantitative models. Finally, gaps in knowledge, key research questions and future directions for researchers are described.
{"title":"Designing resilient supply chain networks: a systematic literature review of mitigation strategies","authors":"Abdolreza Roshani, Philip Walker-Davies, Glenn Parry","doi":"10.1007/s10479-024-06228-6","DOIUrl":"10.1007/s10479-024-06228-6","url":null,"abstract":"<div><p>With increased globalisation supply chain (SC) disruption significantly affects people, organisations and society. Supply chain network design (SCND) reduces the effects of disruption, employing mitigation strategies such as extra capacity and flexibility to make SCs resilient. Currently, no systematic literature review classifies mitigation strategies for SCND. This paper systematically reviews the literature on SCND, analysing proposed mitigation strategies and the methods used for their integration into quantitative models. First to understand the key failure drivers SCND literature is categorised using geography, with local, regional or global disruptions linked to vulnerable sections of a SC. Second, the strategies used in mathematical models to increase SC resilience are categorized as proactive, reactive, or SC design quality capabilities. Third, the relative performance of mitigation strategies is analysed to provide a comparison, identifying the most effective strategies in given contexts. Forth, mathematical modelling techniques used in resilient SCND are reviewed, identifying how strategies are integrated into quantitative models. Finally, gaps in knowledge, key research questions and future directions for researchers are described.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"341 2-3","pages":"1267 - 1332"},"PeriodicalIF":4.4,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10479-024-06228-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-17DOI: 10.1007/s10479-024-06243-7
Jaume Reixach, Christian Blum
In this work, we propose a new variant of construct, merge, solve, and adapt (CMSA), which is a recently introduced hybrid metaheuristic for combinatorial optimization. Our newly proposed variant, named reinforcement learning CMSA (RL-CMSA), makes use of a reinforcement learning (RL) mechanism trained online with data gathered during the search process. In addition to generally outperforming standard CMSA, this new variant proves to be more flexible as it does not require a greedy function for the evaluation of solution components at each solution construction step. We present RL-CMSA as a general framework for enhancing CMSA by leveraging a simple RL learning process. Moreover, we study a range of specific designs for the employed learning mechanism. The advantages of the introduced CMSA variant are demonstrated in the context of the far from most string and minimum dominating set problems, showing the improvement in performance and simplicity with respect to standard CMSA. In particular, the best performing RL-CMSA variant proposed is statistically significantly better than the standard algorithm for both problems, obtaining 1.28% and 0.69% better results on average respectively.
{"title":"How to improve “construct, merge, solve and adapt","authors":"Jaume Reixach, Christian Blum","doi":"10.1007/s10479-024-06243-7","DOIUrl":"https://doi.org/10.1007/s10479-024-06243-7","url":null,"abstract":"<p>In this work, we propose a new variant of construct, merge, solve, and adapt (CMSA), which is a recently introduced hybrid metaheuristic for combinatorial optimization. Our newly proposed variant, named reinforcement learning CMSA (RL-CMSA), makes use of a reinforcement learning (RL) mechanism trained online with data gathered during the search process. In addition to generally outperforming standard CMSA, this new variant proves to be more flexible as it does not require a greedy function for the evaluation of solution components at each solution construction step. We present RL-CMSA as a general framework for enhancing CMSA by leveraging a simple RL learning process. Moreover, we study a range of specific designs for the employed learning mechanism. The advantages of the introduced CMSA variant are demonstrated in the context of the far from most string and minimum dominating set problems, showing the improvement in performance and simplicity with respect to standard CMSA. In particular, the best performing RL-CMSA variant proposed is statistically significantly better than the standard algorithm for both problems, obtaining 1.28% and 0.69% better results on average respectively.</p>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"39 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-17DOI: 10.1007/s10479-024-06219-7
Simone Di Leo, Alessandro Avenali, Cinzia Daraio, Joanna Wolszczak-Derlacz
Over recent years, scholarly interest in universities’ allocation and effective utilisation of financial resources has been growing. When used efficiently, financial resources may improve universities’ quality of research and teaching, and therefore their positions in world university rankings. However, despite the relevance of financial efficiency to university placement in academic rankings, universities’ total available financial resources appear much more significant. In the present study, we propose an innovative methodology to determine realistic ranking targets for individual universities, based on their available financial resources. In particular, we combine data envelopment analysis, as developed by Banker et al. (Manag Sci 30(9):1078–1092, 1984), and a directed Louvain community detection algorithm to examine 318 universities across five countries, considering their ARWU scores alongside key financial indicators (i.e., long-term physical capital, total operating revenues). We identify clusters of universities with similar financial profiles and corresponding ARWU scores, as well as universities that have optimised their use of financial resources, representing benchmarks for similar universities to emulate. The approach is subsequently applied to Italian universities, as a specific national case. The findings may be useful for policy makers and university managers seeking reliable strategies for climbing academic rankings, particularly in countries with limited public investment in higher education.
{"title":"Climbing university rankings under resources constraints: a combined approach integrating DEA and directed Louvain community detection","authors":"Simone Di Leo, Alessandro Avenali, Cinzia Daraio, Joanna Wolszczak-Derlacz","doi":"10.1007/s10479-024-06219-7","DOIUrl":"https://doi.org/10.1007/s10479-024-06219-7","url":null,"abstract":"<p>Over recent years, scholarly interest in universities’ allocation and effective utilisation of financial resources has been growing. When used efficiently, financial resources may improve universities’ quality of research and teaching, and therefore their positions in world university rankings. However, despite the relevance of financial efficiency to university placement in academic rankings, universities’ total available financial resources appear much more significant. In the present study, we propose an innovative methodology to determine realistic ranking targets for individual universities, based on their available financial resources. In particular, we combine data envelopment analysis, as developed by Banker et al. (Manag Sci 30(9):1078–1092, 1984), and a directed Louvain community detection algorithm to examine 318 universities across five countries, considering their ARWU scores alongside key financial indicators (i.e., long-term physical capital, total operating revenues). We identify clusters of universities with similar financial profiles and corresponding ARWU scores, as well as universities that have optimised their use of financial resources, representing benchmarks for similar universities to emulate. The approach is subsequently applied to Italian universities, as a specific national case. The findings may be useful for policy makers and university managers seeking reliable strategies for climbing academic rankings, particularly in countries with limited public investment in higher education.</p>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"9 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-16DOI: 10.1007/s10479-024-06255-3
Yiwen Bian, Dai Shan, Xin Yan, Jing Zhang
As one source of user-generated content, online reviews embed vast quantities of important business information, significantly affecting consumer demand. In this study, we aim to propose a new forecasting approach to predict the demand for new energy vehicles (NEVs) by incorporating perceived quality measures extracted from online reviews into the traditional Bass model. To this end, we consider three crucial dimensions (i.e., emotional experience, defect perception, and brand/product image) and adopt text analysis techniques to mine perceived quality information from online reviews for NEVs comprehensively. Coping with the limited datasets, we further dynamically incorporate the mined perceived quality into the Bass model to improve the accuracy of new energy vehicle (NEV) demand forecasting. Finally, we meticulously conduct a series of experiments with crawled online reviews and historical sales of distinct NEV models. The experimental results demonstrate that the perceived quality measures identified from online reviews jointly affect the consumers’ purchasing decisions, and effectively enhance the performance of the NEV demand forecasting. Furthermore, some interesting and important findings are achieved based on the proposed methodology, including the time-lag effect of perceived quality on consumers’ purchasing decisions and the formulation of specific product strategies based on demand trends.
{"title":"New energy vehicle demand forecasting via an improved Bass model with perceived quality identified from online reviews","authors":"Yiwen Bian, Dai Shan, Xin Yan, Jing Zhang","doi":"10.1007/s10479-024-06255-3","DOIUrl":"https://doi.org/10.1007/s10479-024-06255-3","url":null,"abstract":"<p>As one source of user-generated content, online reviews embed vast quantities of important business information, significantly affecting consumer demand. In this study, we aim to propose a new forecasting approach to predict the demand for new energy vehicles (NEVs) by incorporating perceived quality measures extracted from online reviews into the traditional Bass model. To this end, we consider three crucial dimensions (i.e., emotional experience, defect perception, and brand/product image) and adopt text analysis techniques to mine perceived quality information from online reviews for NEVs comprehensively. Coping with the limited datasets, we further dynamically incorporate the mined perceived quality into the Bass model to improve the accuracy of new energy vehicle (NEV) demand forecasting. Finally, we meticulously conduct a series of experiments with crawled online reviews and historical sales of distinct NEV models. The experimental results demonstrate that the perceived quality measures identified from online reviews jointly affect the consumers’ purchasing decisions, and effectively enhance the performance of the NEV demand forecasting. Furthermore, some interesting and important findings are achieved based on the proposed methodology, including the time-lag effect of perceived quality on consumers’ purchasing decisions and the formulation of specific product strategies based on demand trends.</p>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"198 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251123","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-16DOI: 10.1007/s10479-024-06251-7
Immanuel. M. Bomze, Francesco Rinaldi, Damiano Zeffiro
Invented some 65 years ago in a seminal paper by Marguerite Straus-Frank and Philip Wolfe, the Frank–Wolfe method recently enjoys a remarkable revival, fuelled by the need of fast and reliable first-order optimization methods in Data Science and other relevant application areas. This review tries to explain the success of this approach by illustrating versatility and applicability in a wide range of contexts, combined with an account on recent progress in variants, both improving on the speed and efficiency of this surprisingly simple principle of first-order optimization.
{"title":"Frank–Wolfe and friends: a journey into projection-free first-order optimization methods","authors":"Immanuel. M. Bomze, Francesco Rinaldi, Damiano Zeffiro","doi":"10.1007/s10479-024-06251-7","DOIUrl":"10.1007/s10479-024-06251-7","url":null,"abstract":"<div><p>Invented some 65 years ago in a seminal paper by Marguerite Straus-Frank and Philip Wolfe, the Frank–Wolfe method recently enjoys a remarkable revival, fuelled by the need of fast and reliable first-order optimization methods in Data Science and other relevant application areas. This review tries to explain the success of this approach by illustrating versatility and applicability in a wide range of contexts, combined with an account on recent progress in variants, both improving on the speed and efficiency of this surprisingly simple principle of first-order optimization.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"343 2021-2023)","pages":"607 - 638"},"PeriodicalIF":4.4,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10479-024-06251-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-16DOI: 10.1007/s10479-024-06269-x
Yini Zheng, Tiaojun Xiao
The manufacturer-rebate where the manufacturer directly provides consumer rebates and the channel-rebate where the manufacturer stimulates downstream retailers to sell more products with channel rebates are two typical rebate strategies for manufacturers to increase sales. Considering the prevalence of rebate promotions and the downstream retailer’s optimism on the effect of rebating consumers, we incorporate rebate promotions, retailers’ optimism, and the corresponding information asymmetry issue into the manufacturer’s wholesale-ordering contract design problem. We find that with rebate promotions, the wholesale price and the order quantity should be higher than without rebate promotion. Specially, under the manufacturer-rebate strategy, the wholesale price and the order quantity should increase with the manufacturer’s rebate and the retailer’s optimism. However, under the channel-rebate strategy, the order quantity (the wholesale price) is no longer affected by the manufacturer’s rebate (the retailer’s optimism). Moreover, when the retailer’s optimism is private information, the retailer’s information distortion behaviors under the two rebate strategies are similar, but the manufacturer should accept different kinds of wholesale price-order quantity contract menus to reveal the retailer’s information and maximize profits. Specifically, under the manufacturer-rebate strategy (the channel-rebate strategy), differentiated contracts (a pooling contract) to different types of retailers are optimal. Besides, under the manufacturer-rebate strategy, the value of the rebate can play a moderating role in contract design. Hence, when the rebate is exogenously decided, the manufacturer can punish the retailer who is likely to distort information by decreasing the rebate.
{"title":"Interaction between rebate strategy and wholesale-ordering contracts under retailer optimism and information asymmetry","authors":"Yini Zheng, Tiaojun Xiao","doi":"10.1007/s10479-024-06269-x","DOIUrl":"https://doi.org/10.1007/s10479-024-06269-x","url":null,"abstract":"<p>The manufacturer-rebate where the manufacturer directly provides consumer rebates and the channel-rebate where the manufacturer stimulates downstream retailers to sell more products with channel rebates are two typical rebate strategies for manufacturers to increase sales. Considering the prevalence of rebate promotions and the downstream retailer’s optimism on the effect of rebating consumers, we incorporate rebate promotions, retailers’ optimism, and the corresponding information asymmetry issue into the manufacturer’s wholesale-ordering contract design problem. We find that with rebate promotions, the wholesale price and the order quantity should be higher than without rebate promotion. Specially, under the manufacturer-rebate strategy, the wholesale price and the order quantity should increase with the manufacturer’s rebate and the retailer’s optimism. However, under the channel-rebate strategy, the order quantity (the wholesale price) is no longer affected by the manufacturer’s rebate (the retailer’s optimism). Moreover, when the retailer’s optimism is private information, the retailer’s information distortion behaviors under the two rebate strategies are similar, but the manufacturer should accept different kinds of wholesale price-order quantity contract menus to reveal the retailer’s information and maximize profits. Specifically, under the manufacturer-rebate strategy (the channel-rebate strategy), differentiated contracts (a pooling contract) to different types of retailers are optimal. Besides, under the manufacturer-rebate strategy, the value of the rebate can play a moderating role in contract design. Hence, when the rebate is exogenously decided, the manufacturer can punish the retailer who is likely to distort information by decreasing the rebate.</p>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"65 1","pages":""},"PeriodicalIF":4.8,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}