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Decision-making model of elderly service companies under government subsidies                                政府补贴下养老服务公司的决策模式
RAIRO - Operations Research Pub Date : 2024-02-14 DOI: 10.1051/ro/2024043
Junfeng Dong, Mengyuan Wang, Li Jiang, Wenxing Lu, Changyong Liang
{"title":"Decision-making model of elderly service companies under government subsidies\u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000\u0000 ","authors":"Junfeng Dong, Mengyuan Wang, Li Jiang, Wenxing Lu, Changyong Liang","doi":"10.1051/ro/2024043","DOIUrl":"https://doi.org/10.1051/ro/2024043","url":null,"abstract":"This study considers two government subsidy policies, namely, supply-side (subsidising elderly service companies) and demand-side (subsidising elderly customers) subsidies. A Nash game model consisting of elderly customers and two elderly service providers with different levels of infrastructure is developed to present the effects of government subsidies on the price, quality and quantity of demand for elderly services under different subsidy policies. The results show that the economic situation of the region and the strategic objectives of the local government are important factors influencing the effectiveness of the government’s subsidy strategy. For areas with good regional economic conditions, subsidies should be biased in favour of elderly care institutions with poorer infrastructure; for areas with poorer economic conditions, subsidies should be biased in favour of institutions with better infrastructure. Moreover, if the government plans to reduce prices more effectively, then it should adopt a demand-side subsidy policy for areas with a small or large elderly population and a supply-side subsidy policy for areas with a medium elderly population.","PeriodicalId":506995,"journal":{"name":"RAIRO - Operations Research","volume":"51 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139838517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Performance analysis and  ANFIS computing of  a Markovian queueing model with intermittently accessible server under a hybrid vacation policy. 混合休假政策下间歇访问服务器的马尔可夫排队模型的性能分析和 ANFIS 计算。
RAIRO - Operations Research Pub Date : 2024-02-14 DOI: 10.1051/ro/2024044
D. K., I. K.
{"title":"Performance analysis and  ANFIS computing of  a Markovian queueing model with intermittently accessible server under a hybrid vacation policy.","authors":"D. K., I. K.","doi":"10.1051/ro/2024044","DOIUrl":"https://doi.org/10.1051/ro/2024044","url":null,"abstract":"In this study, we investigate a heterogeneous queueing model with intermittent server availability, server catastrophes, and a hybrid vacation policy. Our focus is on a specific scenario: Server 1 is always available, while Server 2 may experience breakdowns or vacations, making it intermittently accessible. Using the matrix-geometric approach (MGA), we derive matrix-based expressions for the stationary probability distribution of the number of customers in the system and various system performance measures. Additionally, we evaluate the cost function per unit of time to determine optimal values for the system’s decision variables. Furthermore, we employ an adaptive neural fuzzy inference system (ANFIS) based on soft computing technology to compare and analyze the numerical results obtained. Through this comprehensive analysis, our study contributes to the understanding and optimization of this complex queueing system, attracting the attention of researchers in the field and offering practical insights for real-world applications.","PeriodicalId":506995,"journal":{"name":"RAIRO - Operations Research","volume":"29 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139778246","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Decision-making model of elderly service companies under government subsidies                                政府补贴下养老服务公司的决策模式
RAIRO - Operations Research Pub Date : 2024-02-14 DOI: 10.1051/ro/2024043
Junfeng Dong, Mengyuan Wang, Li Jiang, Wenxing Lu, Changyong Liang
{"title":"Decision-making model of elderly service companies under government subsidies\u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000\u0000 ","authors":"Junfeng Dong, Mengyuan Wang, Li Jiang, Wenxing Lu, Changyong Liang","doi":"10.1051/ro/2024043","DOIUrl":"https://doi.org/10.1051/ro/2024043","url":null,"abstract":"This study considers two government subsidy policies, namely, supply-side (subsidising elderly service companies) and demand-side (subsidising elderly customers) subsidies. A Nash game model consisting of elderly customers and two elderly service providers with different levels of infrastructure is developed to present the effects of government subsidies on the price, quality and quantity of demand for elderly services under different subsidy policies. The results show that the economic situation of the region and the strategic objectives of the local government are important factors influencing the effectiveness of the government’s subsidy strategy. For areas with good regional economic conditions, subsidies should be biased in favour of elderly care institutions with poorer infrastructure; for areas with poorer economic conditions, subsidies should be biased in favour of institutions with better infrastructure. Moreover, if the government plans to reduce prices more effectively, then it should adopt a demand-side subsidy policy for areas with a small or large elderly population and a supply-side subsidy policy for areas with a medium elderly population.","PeriodicalId":506995,"journal":{"name":"RAIRO - Operations Research","volume":"25 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139778656","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Performance analysis and  ANFIS computing of  a Markovian queueing model with intermittently accessible server under a hybrid vacation policy. 混合休假政策下间歇访问服务器的马尔可夫排队模型的性能分析和 ANFIS 计算。
RAIRO - Operations Research Pub Date : 2024-02-14 DOI: 10.1051/ro/2024044
D. K., I. K.
{"title":"Performance analysis and  ANFIS computing of  a Markovian queueing model with intermittently accessible server under a hybrid vacation policy.","authors":"D. K., I. K.","doi":"10.1051/ro/2024044","DOIUrl":"https://doi.org/10.1051/ro/2024044","url":null,"abstract":"In this study, we investigate a heterogeneous queueing model with intermittent server availability, server catastrophes, and a hybrid vacation policy. Our focus is on a specific scenario: Server 1 is always available, while Server 2 may experience breakdowns or vacations, making it intermittently accessible. Using the matrix-geometric approach (MGA), we derive matrix-based expressions for the stationary probability distribution of the number of customers in the system and various system performance measures. Additionally, we evaluate the cost function per unit of time to determine optimal values for the system’s decision variables. Furthermore, we employ an adaptive neural fuzzy inference system (ANFIS) based on soft computing technology to compare and analyze the numerical results obtained. Through this comprehensive analysis, our study contributes to the understanding and optimization of this complex queueing system, attracting the attention of researchers in the field and offering practical insights for real-world applications.","PeriodicalId":506995,"journal":{"name":"RAIRO - Operations Research","volume":"107 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139837846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Semi-online scheduling on two uniform parallel machines with initial lookahead                         带有初始前瞻性的两台均匀并行机器上的半联机调度
RAIRO - Operations Research Pub Date : 2024-02-13 DOI: 10.1051/ro/2024042
Feifeng Zheng, Yuhong Chen, Ming Liu
{"title":"Semi-online scheduling on two uniform parallel machines with initial lookahead\u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 ","authors":"Feifeng Zheng, Yuhong Chen, Ming Liu","doi":"10.1051/ro/2024042","DOIUrl":"https://doi.org/10.1051/ro/2024042","url":null,"abstract":"This work studies the problem of semi-online scheduling on two uniform parallel machines with speeds 1 and s≥2, respectively. We introduce a novel  concept of initial lookahead in which any deterministic online algorithm has the full knowledge of the first k jobs at the beginning, while the remaining jobs are released one-by-one in the online over-list mode. The objective of the considered problem is to minimize the makespan. We focus on the case where the first k jobs are of a total processing time not less than (s+1)Δ where Δ is the largest job length, and it is assumed that s is an integer. We prove a lower bound of (s2+s+1)/(s2+s), and propose a deterministic online algorithm with competitive ratio of (s+1)2/(s2+s+1). The ratio is at most 9/7 and much less than that of 1.618 for the basic case without initial lookahead (Cho and Sahni [7]).  Our results demonstrate that a finite ability of initial lookahead can greatly improve the competitiveness of online algorithms.","PeriodicalId":506995,"journal":{"name":"RAIRO - Operations Research","volume":"142 34","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139780511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bid-ask spread dynamics: large upward jump with geometric catastrophes 买入价与卖出价价差动态:大幅上跳与几何灾难
RAIRO - Operations Research Pub Date : 2024-02-13 DOI: 10.1051/ro/2024039
Jose Javier Cerda Hernández, Artem Logachov, Anatoly Yambartsev
{"title":"Bid-ask spread dynamics: large upward jump with geometric catastrophes","authors":"Jose Javier Cerda Hernández, Artem Logachov, Anatoly Yambartsev","doi":"10.1051/ro/2024039","DOIUrl":"https://doi.org/10.1051/ro/2024039","url":null,"abstract":"We propose a simple continuous-time stochastic model for capturing the dynamics of a limit order book in the presence of liquidity fluctuations, manifested by gaps in filled price levels within the OB. Inspired by Farmer et al. (2004), we define a model for the dynamics of spread that incorporates liquidity fluctuations and undertake a comprehensive theoretical  study of the model's properties, providing rigorous proofs of several key asymptotic theorems. Furthermore, we show how large deviations manifest in the spread under this regime.","PeriodicalId":506995,"journal":{"name":"RAIRO - Operations Research","volume":"353 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139841616","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Shipment lead time hedging and coordination in prefabricated construction supply chain 预制建筑供应链中的装运提前期对冲与协调
RAIRO - Operations Research Pub Date : 2024-02-13 DOI: 10.1051/ro/2024041
Zhenyi Wang, Haizi Wang, Shibin Zhang, Shuai Qiu
{"title":"Shipment lead time hedging and coordination in prefabricated construction supply chain","authors":"Zhenyi Wang, Haizi Wang, Shibin Zhang, Shuai Qiu","doi":"10.1051/ro/2024041","DOIUrl":"https://doi.org/10.1051/ro/2024041","url":null,"abstract":"This paper aims to coordinate a shipment lead time hedging (SLTH) problem between a building contractor and a logistics provider in the prefabricated construction supply chain (PCSC). In the PCSC, untimely (early or late) delivery of prefabs will result in project time and cost overrun. To mitigate this challenge, the building contractor requires the logistics provider to reduce the shipping time variability, which is termed the SLTH strategy. Though it benefits the building contractor, this strategy puts more investment and operational pressures on the logistics provider. To solve this conflict, a coordination mechanism is introduced. Two terms are involved in this mechanism: an SLTH level related cost term is charged by the logistic provider to the building contractor and a constant transfer term is adopted to fairly allocate the system surplus. Three decentralized models are investigated: i.e. two Stackelberg game models with alternative decision-making sequences and an equal power model. Further comparative analysis and numerical studies reveal that the proposed coordination mechanism increases the SLTH level and ensures a win-win situation. Moreover, some interesting managerial implications are derived.","PeriodicalId":506995,"journal":{"name":"RAIRO - Operations Research","volume":"48 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139781640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Shipment lead time hedging and coordination in prefabricated construction supply chain 预制建筑供应链中的装运提前期对冲与协调
RAIRO - Operations Research Pub Date : 2024-02-13 DOI: 10.1051/ro/2024041
Zhenyi Wang, Haizi Wang, Shibin Zhang, Shuai Qiu
{"title":"Shipment lead time hedging and coordination in prefabricated construction supply chain","authors":"Zhenyi Wang, Haizi Wang, Shibin Zhang, Shuai Qiu","doi":"10.1051/ro/2024041","DOIUrl":"https://doi.org/10.1051/ro/2024041","url":null,"abstract":"This paper aims to coordinate a shipment lead time hedging (SLTH) problem between a building contractor and a logistics provider in the prefabricated construction supply chain (PCSC). In the PCSC, untimely (early or late) delivery of prefabs will result in project time and cost overrun. To mitigate this challenge, the building contractor requires the logistics provider to reduce the shipping time variability, which is termed the SLTH strategy. Though it benefits the building contractor, this strategy puts more investment and operational pressures on the logistics provider. To solve this conflict, a coordination mechanism is introduced. Two terms are involved in this mechanism: an SLTH level related cost term is charged by the logistic provider to the building contractor and a constant transfer term is adopted to fairly allocate the system surplus. Three decentralized models are investigated: i.e. two Stackelberg game models with alternative decision-making sequences and an equal power model. Further comparative analysis and numerical studies reveal that the proposed coordination mechanism increases the SLTH level and ensures a win-win situation. Moreover, some interesting managerial implications are derived.","PeriodicalId":506995,"journal":{"name":"RAIRO - Operations Research","volume":"393 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139841487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On maximal Roman domination in graphs: complexity and algorithms 论图中的最大罗马支配:复杂性与算法
RAIRO - Operations Research Pub Date : 2024-02-13 DOI: 10.1051/ro/2024038
Zehui Shao, Yonghao Song, Qiyun Liu, Zhixing Duan, Huiqin Jiang
{"title":"On maximal Roman domination in graphs: complexity and algorithms","authors":"Zehui Shao, Yonghao Song, Qiyun Liu, Zhixing Duan, Huiqin Jiang","doi":"10.1051/ro/2024038","DOIUrl":"https://doi.org/10.1051/ro/2024038","url":null,"abstract":"For a simple undirected connected graph G = (V,E), a maximal Roman dominating function (MRDF) of G is a function f : V (G) → {0,1,2} with the following properties: (i) For every vertex v ∈ {v ∈ V |f(v) = 0}, there exists a vertex u ∈ N(v) such that f(u) = 2. (ii) The set {v ∈ V |f(v) = 0} is not a dominating set of G; In other words, there exists a vertex v ∈ {v ∈ V |f(v) = 0} such that N(v) ∩ {u ∈ V |f(u) = 0} = ∅. The weight of an MRDF of G is the sum of its function values over all vertices, denoted as f(G) =Σv∈V (G)f(v), and the maximal Roman domination number of G, denoted by γmR(G), is the minimum weight of an MRDF of G. In this paper, we establish some bounds of the maximal Roman domination number of graphs. Additionally, we develop an integer linear programming formulation to compute the maximal Roman domination number of any graph. Furthermore, we prove that maximal Roman domination problem (MRD) is NP-complete even restricted to star convex bipartite graphs and chordal bipartite graphs. Lastly, we show the maximal Roman domination number of threshold graphs, trees, and block graphs can be computed in linear time.","PeriodicalId":506995,"journal":{"name":"RAIRO - Operations Research","volume":"59 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139840206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Comparison of competing supply chains with different structures under cap-and-trade regulation 比较总量控制与交易法规下不同结构的竞争供应链
RAIRO - Operations Research Pub Date : 2024-02-13 DOI: 10.1051/ro/2024040
Yuyu Chen, Qingguo Bai, Jianteng Xu
{"title":"Comparison of competing supply chains with different structures under cap-and-trade regulation","authors":"Yuyu Chen, Qingguo Bai, Jianteng Xu","doi":"10.1051/ro/2024040","DOIUrl":"https://doi.org/10.1051/ro/2024040","url":null,"abstract":"To reduce carbon emissions, many countries and regions have implemented carbon cap-and-trade regulation. The main objective of this paper is to explore the economic and environmental impacts of carbon cap-and-trade regulation on two competing supply chains. This paper considers two cases: (i) in the absence of cap-and-trade regulation and (ii) with carbon cap-and-trade regulation. For each case, there are three structures: centralized-centralized (C-C) structure, decentral-ized-decentralized (D-D) structure, and hybrid centralized-decentralized (C-D) structure. First, this paper analyzes the optimal pricing decisions of two competing supply chains for the two cases, and then explore the impacts of cap-and-trade regulation on the sale price, market demand, economy (include enterprise profits and consumer surplus), environment (i.e., carbon emission) and total social welfare. Finally, numerical examples are provided to illustrate the theoretical results. By comparing the two cases, the main conclusions are as follows: (i) cap-and-trade regulation leads to the increase of unit price and the decrease of the market demand, (ii) cap-and-trade regulation leads to the reduction of both carbon emission and the consumer surplus, (iii) the impacts of cap-and-trade regulation on the profit and social welfare depend on the carbon cap.","PeriodicalId":506995,"journal":{"name":"RAIRO - Operations Research","volume":"65 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139841627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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