{"title":"Erratum to: On interval-valued bilevel optimization problems using upper convexificators","authors":"S. Dempe, N. Gadhi","doi":"10.1051/ro/2023148","DOIUrl":"https://doi.org/10.1051/ro/2023148","url":null,"abstract":"Erratum to: RAIRO-Oper. Res. https://doi.org/10.1051/ro/2023044","PeriodicalId":20872,"journal":{"name":"RAIRO Oper. Res.","volume":"10 1","pages":"2519"},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139340477","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}
{"title":"A new modified bat algorithm for global optimization","authors":"N. Adil, H. Lakhbab","doi":"10.1051/ro/2023135","DOIUrl":"https://doi.org/10.1051/ro/2023135","url":null,"abstract":"Bat Algorithm, is an evolutionary computation technique based on the echolocation behaviour of microbats while looking for their prey. It is used to perform global optimization. It was developed by Xin-She Yang in 2010. Since then, it has extensively been applied in various optimization problems because of its simple structure and robust performance. Continuous, discrete, or binary, many variants were proposed over the last few years, with applications to solve real-world cases in different fields. Yet, it has one major drawback: its premature convergence due to a lack in its exploration ability.\u0000In this paper, we introduce a selection-based improvement and three other modifications to the standard version of this metaheuristic in order to enhance the diversification and intensification capabilities of the algorithm. The newly proposed method has been then tested on 20 standard benchmark functions and the CEC2005 benchmark suit. Some non-parametric statistical tests were also used to compare the New Bat algorithm with other algorithms, and results indicate that the new method is very competitive and outperforms some of the state-of-the-art algorithms.","PeriodicalId":20872,"journal":{"name":"RAIRO Oper. Res.","volume":"24 1","pages":"2659-2685"},"PeriodicalIF":0.0,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86451804","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}
Feng Lin, Weiqing Lin, Jinzhao Shi, Peng Wu, Weiyi Hong
{"title":"Effects of prepayment policy on equilibrium of the retailer-dominated channel considering manufacturer effort","authors":"Feng Lin, Weiqing Lin, Jinzhao Shi, Peng Wu, Weiyi Hong","doi":"10.1051/ro/2023128","DOIUrl":"https://doi.org/10.1051/ro/2023128","url":null,"abstract":"Although upstream manufacturers with small- and mediumsized are gradually willing to invest green efforts for stimulating market demand, they have been encountering the challenge of securing sufficient working capital to develop the green supply chain. Thus, this paper systematically incorporates two types of prepayment policies including risk-free (RF) and risk-taking (RT) into a retailer’s dominated channel. Via deriving operational and financing equilibrium of the green supply chain, a series of interesting findings can be offered. Specifically, (1) this paper identifies a threshold value regarding the manufacturer’s own capital, and proposes two scenarios for assisting the retailer to decide whether offers the manufacturer prepayment policy. (2) The effectiveness of RF for the capital-constrained manufacturer depends on how well its green effort can be implemented. That is, provided that the quality effect is large enough, the manufacturer can get more upfront capital from the retailer, which may entirely cover its total production and green effort costs. (3) Under RT, if the manufacturer’s capital is relatively lower, RT enables the manufacturer to obtain sufficient capital and the retailer is willing to share partial of the manufacturer’s default risk. Otherwise, RT may not be the best prepayment policy for the retailer.","PeriodicalId":20872,"journal":{"name":"RAIRO Oper. Res.","volume":"57 1","pages":"2601-2618"},"PeriodicalIF":0.0,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79227975","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}
{"title":"A multi-stage stochastic programming approach for an inventory-routing problem considering life cycle","authors":"Alireza Paeizi, Ahmad Makui, M. Pishvaee","doi":"10.1051/ro/2023122","DOIUrl":"https://doi.org/10.1051/ro/2023122","url":null,"abstract":"Food waste and proper methods to deal with it are one of the main challenges of supply chain network management. The majority of studies on how to use mathematical models in the supply chain have focused on goods that are at their peak of freshness as soon as they are produced and deteriorate over time. While some products experience an increase in value at the start of their life cycle, this value eventually reaches its maximum level, and after this point, these products experience a decline in value before being eliminated from the consumption cycle. The objective of this study is to develop a comprehensive inventory-routing model suitable for supply chain networks where products exhibit an increase and decrease in value over time. By considering the randomness and dynamic uncertainty of market demands and the fact that each period has effects on the next period, The proposed model employs a multi-stage stochastic programming (MSSP) approach. By doing so, the model ensures a balanced flow between different components of the network while considering non-deterministic demand under various scenarios that are shown in a tree of scenarios. The utilization of MSSP leads to more reliable solutions compared to deterministic models, making it possible for chain stores to make well-informed decisions in their inventory management and distribution strategies. Ultimately, this approach results in cost savings for chain stores handling such products. This research makes a significant contribution to the existing literature by demonstrating the effectiveness of the proposed model on actual data and highlighting the benefits of using stochastic programming in supply chain optimization.","PeriodicalId":20872,"journal":{"name":"RAIRO Oper. Res.","volume":"68 1","pages":"2537-2559"},"PeriodicalIF":0.0,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76030644","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}
K. Haghparast, J. Amjadi, M. Chellali, S. M. Sheikholeslami
{"title":"Restrained {2}-domination in graphs","authors":"K. Haghparast, J. Amjadi, M. Chellali, S. M. Sheikholeslami","doi":"10.1051/ro/2023120","DOIUrl":"https://doi.org/10.1051/ro/2023120","url":null,"abstract":"A restrained ${2}$-dominating function (R${2}$-DF) on a graph $G=(V,E)$ is\u0000a function $f:Vrightarrow{0,1,2}$ such that : textrm{(i)} $f(N[v])geq2$\u0000for all $vin V,$ where $N[v]$ is the set containing $v$ and all vertices\u0000adjacent to $v;$ textrm{(ii)} the subgraph induced by the vertices assigned 0\u0000under $f$ has no isolated vertices. The weight of an R${2}$-DF is the sum of\u0000its function values over all vertices, and the restrained ${2}$-domination\u0000number $gamma_{r{2}}(G)$ is the minimum weight of an R${2}$-DF on $G.$ In\u0000this paper, we initiate the study of the restrained ${2}$-domination number.\u0000We first prove that the problem of computing this parameter is NP-complete,\u0000even when restricted to bipartite graphs. Then we give various\u0000bounds on this parameter. In particular, we establish upper and\u0000lower bound on the restrained ${2}$-domination number of a tree $T$ in terms\u0000of the order, the numbers of leaves and support vertices.","PeriodicalId":20872,"journal":{"name":"RAIRO Oper. Res.","volume":"66 1","pages":"2393-2410"},"PeriodicalIF":0.0,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89282600","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}
{"title":"Optimal cooperation modes and information strategies under asymmetric sustainable investment efficiency","authors":"Jianheng Zhou, Yiting Shen, Hong Li, Xingli Chen","doi":"10.1051/ro/2023119","DOIUrl":"https://doi.org/10.1051/ro/2023119","url":null,"abstract":"Currently, sustainability is of widespread concern among consumers and branders, compelling an increasing number of suppliers to invest in sustainable practices. This paper establishes a supply chain model comprising a supplier with private investment efficiency and a brander. By employing signaling and reverse selection theories, the equilibrium strategies of the supplier and the brander are explored. Additionally, the impact of investment efficiency and the probability of H-type on the brander’s information strategy and optimal cooperation mode are analyzed. Our analyses reveal that concealing private information may not be beneficial to the supplier under the quotation mode. Moreover, when the probability of H-type is low, the supplier prefers to signal its exact type to the brander. Under the bidding mode, the brander may benefit more from not obtaining the exact supplier type. When the efficiency difference is higher and the probability of H-type is smaller, the brander indicates a preference for the quotation mode and is more willing to await a signal from the supplier. Furthermore, different information structures yield different optimal cooperation modes for the brander.","PeriodicalId":20872,"journal":{"name":"RAIRO Oper. Res.","volume":"39 1","pages":"2411-2434"},"PeriodicalIF":0.0,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76720154","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}
{"title":"Opt-RNN-DBFSVM: Optimal recurrent neural network density based fuzzy support vector machine","authors":"K. E. Moutaouakil, Abdellatif el Ouissari","doi":"10.1051/ro/2023114","DOIUrl":"https://doi.org/10.1051/ro/2023114","url":null,"abstract":"When implementing SVMs, two major problems are encountered: (a) the number of local minima increases exponentially with the number of samples and (b) the quantity of required computer storage, required for a regular quadratic programming solver, increases by an exponential magnitude as the problem size expands. The Kernel-Adatron family\u0000of algorithms gaining attention lately which has allowed to handle very large classification and regression problems. However, these methods treat different types of samples (Noise, border, and core) with the same manner, which causes searches in unpromising areas and increases the number of iterations. In this work , we introduce a hybrid method to overcome these shortcoming, namely Optimal Recurrent Neural Network Density Based Support Vector Machine (Opt-RNN-DBSVM). This method consists of four steps: (a) characterization of different samples, (b) elimination of samples with a low probability of being a support vector, (c) construction of an appropriate recurrent neural network based on an original energy function, and (d) solution of the system of differential equations, managing the dynamics of the RNN, using the Euler-Cauchy method involving an optimal time step. Thanks to its recurrent architecture, the RNN remembers the regions explored during the search process. We demonstrated that RNN-SVM converges to feasible support vectors and Opt-RNN-DBSVM has a very low time complexity compared to RNN-SVM with constant time step, and KAs-SVM. Several experiments were performed on academic data sets. We used several classification performance measures to compare Opt-RNN-DBSVM to different classification methods and the results obtained show the good performance of the proposed method.","PeriodicalId":20872,"journal":{"name":"RAIRO Oper. Res.","volume":"1 1","pages":"2493-2517"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90917870","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}
{"title":"The strategic interaction between business mode and store brand introduction in a platform-based supply chain","authors":"Jianheng Zhou, Yajie Ji","doi":"10.1051/ro/2023113","DOIUrl":"https://doi.org/10.1051/ro/2023113","url":null,"abstract":"The phenomenon of store brands introduced by large-scale platforms is becoming common, and manufacturers should carefully choose the business mode of selling national brand (NB) products via platforms. Considering big-data marketing, we examine the sales mode selection in a platform-based supply chain based on the strategic interaction between the business mode decision and store brand decision. By continuous dynamic game theory, the strategies and performance under different modes are solved. We find that given the store brand (SB) decision, the business mode adopted by the manufacturer depends only on the commission rate, which is high for reselling and low for agency selling. Given the business mode, under reselling, whether the platform introduces SB depends only on the brand preference, i.e., SB is introduced when the preference for NB is low. While under agency, he introduces SB in the general or relatively passive situation, depending both on the commission rate and the brand preference. In addition, four equilibrium sales modes are obtained based on the strategic interaction. In order to achieve a “win-win-win” situation in profitability among the manufacturer, the platform and the platform-based supply chain, the manufacturer should adopt agency selling and the platform forgoes introducing SB when both the commission rates and NB preference are low.","PeriodicalId":20872,"journal":{"name":"RAIRO Oper. Res.","volume":"11 1","pages":"2331-2362"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84301373","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}
{"title":"Financing and coordination of the agricultural supply chain considering government-enterprise guarantee","authors":"Qihui Lu, Changhua Liao, Tingting Xu","doi":"10.1051/ro/2023116","DOIUrl":"https://doi.org/10.1051/ro/2023116","url":null,"abstract":"We examine an agricultural supply chain consisting of a core enterprise and a capital-constrained farmer and assess the yield uncertainty of farmer's production. We explore two kinds of financing models: traditional bank financing and government-enterprise guarantee financing. To coordinate the supply chain, a price commitment contract and a revenue-sharing contract are considered. Our results show that no matter in bank or government-enterprise guarantee financing model, we can find the conditions for full coordination of the supply chain with any contract. However, in the government-enterprise guarantee financing model, when a farmer has bankrupt risk in a low-yield season and no bankrupt risk in a high-yield season, the revenue-sharing contract can simultaneously make the supply chain fully coordinated and achieve Pareto improvement to maximize the profits of the entire supply chain and achieve a win-win situation. In addition, the farmer and enterprise prefer to choose the financing model with a higher promised price and a higher revenue-sharing ratio, and the social welfare under the government-enterprise guarantee financing model is higher than that under the traditional bank financing model.","PeriodicalId":20872,"journal":{"name":"RAIRO Oper. Res.","volume":"30 1","pages":"2363-2392"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81305330","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}
{"title":"Optimal pricing strategy for new products considering reference price effect in advance selling","authors":"Wen Zhang, Yan Zhang, Xujin Pu, Zhenzhen Wang","doi":"10.1051/ro/2023102","DOIUrl":"https://doi.org/10.1051/ro/2023102","url":null,"abstract":"Previous research has shown that retailers' operations and consumers' purchase choices are significantly influenced by reference prices. This study explores a retailer selling some new products to strategic consumers in advance selling, and addresses the impact of reference price effect on the advance selling strategy and corresponding pricing decisions. Consumers' choices are determined by their purchasing utilities which are dependent on the selling price in current period and the reference price. We first drive optimal selling prices and corresponding profits of the retailer under the scenarios of no advance selling, advance selling without considering the reference price effect, and advance selling with considering the reference price effect, respectively. We find an advance selling strategy is not always beneficial for the retailer. Besides, results present that the retailer benefits from considering reference price effects only if the positive reference effect is relatively high. Finally, numerical studies show that dynamic pricing is dominated by price commitment, which reaches the maximum when positive and negative reference effects parameters are both the highest.","PeriodicalId":20872,"journal":{"name":"RAIRO Oper. Res.","volume":"3 1","pages":"2045-2066"},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86173812","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}