{"title":"Solving the optimal order quantity with unknown parameters for products with stock-dependent demand and variable holding cost rate","authors":"Zhanbing Guo, Yejie Zhang","doi":"10.1007/s10878-025-01260-z","DOIUrl":"https://doi.org/10.1007/s10878-025-01260-z","url":null,"abstract":"<p>Solving the optimal order quantity for products with stock-dependent demand is a challenging task as both exact values of multiple parameters and complicated procedures are required. Motivated by this practical dilemma, this paper develops a new method to overcome the above-mentioned two challenges simultaneously. This new method, referred as two-stage AEOQ (adaptive economic order quantity) policy, includes the following two merits when managing products with stock-dependent demand and variable holding cost rate. First, it is feasible even when the values of underlying parameters are unknown. Second, it is easy-to-implement as decisions are made via adaptively recalibrating the inputs of classical EOQ formula by observable variables in the previous period. Theoretical analysis and numerical example show that this two-stage AEOQ policy could obtain the optimal order quantity. Moreover, this two-stage AEOQ policy is robust to parameter misestimation, and performs better than the traditional solution method when the underlying parameters are volatile. Finally, it is shown that this two-stage AEOQ policy could be further simplified when the fixed ordering cost is negligible. Therefore, this study provides a feasible order policy when the exact values of underlying parameters are unable to gain or when the economic environment is volatile.</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"45 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143375192","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Embedded-filter ACO using clustering based mutual information for feature selection","authors":"S. Kumar Reddy Mallidi, Rajeswara Rao Ramisetty","doi":"10.1007/s10878-025-01259-6","DOIUrl":"https://doi.org/10.1007/s10878-025-01259-6","url":null,"abstract":"<p>The performance of machine learning algorithms is significantly influenced by the quality of the underlying dataset, which often comprises a mix of essential and redundant features. Feature selection, which identifies and discards these redundant features, plays a pivotal role in reducing computational and storage overheads. Current methodologies for this task primarily span filter-based and wrapper-based techniques. While Ant Colony Optimization, a popular bio-inspired meta-heuristic technique, has been extensively used for feature selection, employing mutual information as a principal heuristic measure, traditional mutual information is primarily suited for categorical features. To address this limitation, this study introduces an Embedded-Filter Ant Colony Optimization feature selection strategy that incorporates Clustering-Based Mutual Information. This integration offers enhanced support for classification tasks involving continuous features. To validate the efficiency of the proposed approach, various datasets were used, and a diverse range of machine learning algorithms were employed to evaluate the derived feature subsets. In addition to comparing the proposed method with Grey Wolf Optimization and Cuckoo Search Optimization-based feature selection approaches, a comprehensive evaluation was also carried out against established Ant Colony Optimization wrapper techniques. Experimental results indicate that the proposed Embedded-Filter Ant Colony Optimization consistently selects the minimal yet most relevant feature set while largely maintaining the efficacy of machine learning algorithms.</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"9 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143375191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nurdan Kara, Hale Gonce Kocken, Hande Günay Akdemir
{"title":"A fuzzy approach for the intuitionistic multi-objective linear fractional programming problem using a bisection method","authors":"Nurdan Kara, Hale Gonce Kocken, Hande Günay Akdemir","doi":"10.1007/s10878-025-01261-y","DOIUrl":"https://doi.org/10.1007/s10878-025-01261-y","url":null,"abstract":"<p>In this paper, intuitionistic fuzzy multi-objective linear fractional programming problems (IFMOLFPs) with several fractional criteria, including profit/cost, profit/time, or profitability ratio maximization, are considered. Moreover, all parameters, with the exception of the decision variables, are characterized as triangular intuitionistic fuzzy numbers. The component-wise optimization method is employed to transform IFMOLFP into an equivalent crisp multi-objective linear fractional problem. Then, we use an iterative fuzzy methodology that integrates linear programming with a bisection approach. The proposed approach addresses single-objective and real-life multi-objective organizational planning problems, which are approached using various methods in the literature. It is used for non-linear membership functions in solving these problems. Furthermore, the values obtained using the ranking function are compared. Ultimately, the decision-maker selects the most appropriate solution technique based on the weights of the objective functions.</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"62 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143375189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yuan-Hsun Lo, Hung-Lin Fu, Yijin Zhang, Wing Shing Wong
{"title":"The undirected optical indices of trees","authors":"Yuan-Hsun Lo, Hung-Lin Fu, Yijin Zhang, Wing Shing Wong","doi":"10.1007/s10878-024-01255-2","DOIUrl":"https://doi.org/10.1007/s10878-024-01255-2","url":null,"abstract":"<p>For a connected graph <i>G</i>, an instance <i>I</i> is a set of pairs of vertices and a corresponding routing <i>R</i> is a set of paths specified for all vertex-pairs in <i>I</i>. Let <span>(mathfrak {R}_I)</span> be the collection of all routings with respect to <i>I</i>. The undirected optical index of <i>G</i> with respect to <i>I</i> refers to the minimum integer <i>k</i> to guarantee the existence of a mapping <span>(phi :Rrightarrow {1,2,ldots ,k})</span>, such that <span>(phi (P)ne phi (P'))</span> if <i>P</i> and <span>(P')</span> have common edge(s), over all routings <span>(Rin mathfrak {R}_I)</span>. A natural lower bound of the undirected optical index is the edge-forwarding index, which is defined to be the minimum of the maximum edge-load over all possible routings. Let <i>w</i>(<i>G</i>, <i>I</i>) and <span>(pi (G,I))</span> denote the undirected optical index and edge-forwarding index with respect to <i>I</i>, respectively. In this paper, we derive the inequality <span>(w(T,I_A)<frac{3}{2}pi (T,I_A))</span> for any tree <i>T</i>, where <span>(I_A:={{x,y}:,x,yin V(T)})</span> is the all-to-all instance.</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"62 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142990938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Argyrios Deligkas, Mohammad Lotfi, Alexandros A. Voudouris
{"title":"Agent-constrained truthful facility location games","authors":"Argyrios Deligkas, Mohammad Lotfi, Alexandros A. Voudouris","doi":"10.1007/s10878-025-01258-7","DOIUrl":"https://doi.org/10.1007/s10878-025-01258-7","url":null,"abstract":"<p>We consider a truthful facility location game in which there is a set of agents with private locations on the line of real numbers, and the goal is to place a number of facilities at different locations chosen from the set of those reported by the agents. Given a feasible solution, each agent suffers an individual cost that is either its total distance to all facilities (sum-variant) or its distance to the farthest facility (max-variant). For both variants, we show tight bounds on the approximation ratio of strategyproof mechanisms in terms of the social cost, the total individual cost of the agents.\u0000</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"63 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142990939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"$$(K_{1}vee {P_{t})}$$ -saturated graphs with minimum number of edges","authors":"Jinze Hu, Shengjin Ji, Qing Cui","doi":"10.1007/s10878-024-01256-1","DOIUrl":"https://doi.org/10.1007/s10878-024-01256-1","url":null,"abstract":"<p>For a fixed graph <i>F</i>, a graph <i>G</i> is <i>F</i>-saturated if <i>G</i> does not contain <i>F</i> as a subgraph, but adding any edge in <span>(E(overline{G}))</span> will result in a copy of <i>F</i>. The minimum size of an <i>F</i>-saturated graph of order <i>n</i> is called the saturation number of <i>F</i>, denoted by <i>sat</i>(<i>n</i>, <i>F</i>). In this paper, we are interested in saturation problem of graph <span>(K_1vee {P_t})</span> for <span>(tge 2)</span>. As some known results, <span>(sat(n,K_1vee {P_t}))</span> is determined for <span>(2le tle 4)</span>. We will show that <span>(sat(n,K_1vee {P_t})=(n-1)+sat(n-1,P_t))</span> for <span>(tge 5)</span> and <i>n</i> sufficiently large. Moreover, <span>((K_1vee {P_t}))</span>-saturated graphs with <span>(sat(n,K_1vee {P_t}))</span> edges are characterized.</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"71 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142990647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Advertising meets assortment planning: joint advertising and assortment optimization under multinomial logit model","authors":"Chenhao Wang, Yao Wang, Shaojie Tang","doi":"10.1007/s10878-024-01257-0","DOIUrl":"https://doi.org/10.1007/s10878-024-01257-0","url":null,"abstract":"<p>Despite the assortment optimization problem has been widely studied in the past decades, the interplay between advertising and its implications for this issue remains under-explored. This study seeks to bridge this research gap by tackling the combined challenge of advertising and assortment optimization. We assume that advertising can increase the awareness of specific products, and the magnitude of this effect is jointly depends on the product-specific effectiveness of advertising and the allocated advertising budget. For this joint problem, our objective is to maximize the expected revenue by finding the optimal advertising strategy and the displayed assortment. In this work, we analyze the structure of this problem and propose efficient approaches to solve it across different scenarios. In the unconstrained setting, we demonstrate that the optimal assortment includes products whose revenue exceeds a certain threshold. When there is a cardinality constraint for the assortment, we consider a relaxed problem and propose an efficient method to identify a near-optimal solution. We also examine the joint assortment, pricing, and advertising problem in both unconstrained and cardinality-constrained settings, incorporating the fairness constraint for the advertising strategy and extending our findings to account for consumer sequential decision-making patterns. Through a series of numerical tests, we confirm the validity of our methods and demonstrate that they outperform existing heuristic approaches.\u0000</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"32 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142990648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An improved PTAS for covering targets with mobile sensors","authors":"Nonthaphat Wongwattanakij, Nattawut Phetmak, Chaiporn Jaikaeo, Jittat Fakcharoenphol","doi":"10.1007/s10878-024-01253-4","DOIUrl":"https://doi.org/10.1007/s10878-024-01253-4","url":null,"abstract":"<p>This paper considers a movement minimization problem for mobile sensors. Given a set of <i>n</i> point targets, the <i>k-Sink Minimum Movement Target Coverage Problem</i> is to schedule mobile sensors, initially located at <i>k</i> base stations, to cover all targets minimizing the total moving distance of the sensors. We present a polynomial-time approximation scheme for finding a <span>((1+epsilon ))</span> approximate solution running in time <span>(n^{O(1/epsilon )})</span> for this problem when <i>k</i>, the number of base stations, is constant. Our algorithm improves the running time exponentially from the previous work that runs in time <span>(n^{O(1/epsilon ^2)})</span>, without any target distribution assumption. To devise a faster algorithm, we prove a stronger bound on the number of sensors in any unit area in the optimal solution and employ a more refined dynamic programming algorithm whose complexity depends only on the width of the problem.</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"74 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142990936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Recognizing integrality of weighted rectangles partitions","authors":"Paul Deuker, Ulf Friedrich","doi":"10.1007/s10878-024-01252-5","DOIUrl":"https://doi.org/10.1007/s10878-024-01252-5","url":null,"abstract":"<p>Given a grid of active and inactive pixels, the weighted rectangles partitioning (WRP) problem is to find a maximum-weight partition of the active pixels into rectangles. WRP is formulated as an integer programming problem and instances with an integral relaxation polyhedron are characterized by a balanced problem matrix. A complete characterization of these balanced instances is proved. In addition, computational results on balancedness recognition and on solving WRP are presented.</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"31 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142990935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Degree and betweenness-based label propagation for community detection","authors":"Qiufen Ni, Jun Wang, Zhongzheng Tang","doi":"10.1007/s10878-024-01254-3","DOIUrl":"https://doi.org/10.1007/s10878-024-01254-3","url":null,"abstract":"<p>Community detection, as a crucial network analysis technique, holds significant application value in uncovering the underlying organizational structure in complex networks. In this paper, we propose a degree and betweenness-based label propagation method for community detection (DBLPA). First, we calculate the importance of each node by combining node degree and betweenness centrality. A node <i>i</i> is considered as a core node in the network if its importance is maximal among its neighbor nodes. Next, layer-by-layer label propagation starts from core nodes. The first layer of nodes for label propagation consists of the first-order neighbors of all core nodes. In the first layer of label propagation, the labels of core nodes are first propagated to the non-common neighbor nodes between core nodes, and then to the common neighbor nodes between core nodes. At the same time, the <i>flag</i> parameter is set to record the changing times of a node’s label, which is helpful to calibrate the node’s labels during the label propagation. It effectively improves the misclassification in the process of label propagation. We test the DBLPA on four real network datasets and nine synthetic network datasets, and the experimental results show that the DBLPA can effectively improve the accuracy of community detection.</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"9 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142990937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}