Scholar4AI Updated 2026-10-26 13:22 UTC+09:00

Linear and integer programming

area: Efficiency and operations · 7 papers in the last 7 days

← Most-used equations and models

minx c⊤x  s.t.  Ax≤b, x≥0, xj∈ℤ (j∈I)

Optimizes a linear objective under linear constraints, with some variables restricted to integers.

LaTeX: \min_{x}\ c^\top x\ \ \text{s.t.}\ \ A x \le b,\ x \ge 0,\ x_j \in \mathbb{Z}\ (j \in I)

Names searched for: linear programming, linear program, integer programming, integer program, MILP, MINLP, mixed-integer

Key findings

  • Linear and integer programming was mentioned in 116 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #4 of the 104 equations and models mentioned.
  • By journal category: Operations Research (100), AI (11), Economics (4) and Finance (1).
  • Most of them appeared in European Journal of Operational Research (15), Computers & Industrial Engineering (13) and Transportation Research Part E Logistics and Transportation Review (13).
  • Often mentioned together with Logistic regression (logit) (8), Value at risk (VaR) (8) and Expected shortfall (CVaR) (8).
  • Datasets named in the same papers: OR-Library (9), Eurostat (3) and International Energy Agency (IEA) (3).
  • From Apr 2024 to Sep 2026, 1,560 archived papers mentioned Linear and integer programming in their title, abstract or keywords, most of them in May 2024 (80).

Mentions over 30 months

Papers mentioning it by publication month, Apr 2024 to Sep 2026 (titles, abstracts and keywords)
TrendApr 24–Sep 24Oct 24–Sep 25Oct 25–Sep 2630 months
4058043511,560
Papers mentioning Linear and integer programming, newest first. Newest 50 of 116 papers; all of them are in /data/papers.json.
DateTitleJournalAuthorsAffiliations
2026-10-24Genetic algorithm based approaches for solving hybrid flowshop scheduling problem under production leveling based lot streaming strategyFlexible Services and Manufacturing JournalMurat ÇOLAK, Gülşen Aydın KeskinKocaeli Üniversitesi; Balıkesir University
2026-10-23Sustainable development goals and waste management in the wheat supply chain under uncertain conditions: implications from an emerging economyAnnals of Operations ResearchMahsa Rezaee Shirsavar, Misagh Rahbari, Mohammad MohammadiKharazmi University; Islamic Azad University, Tehran; Islamic Azad University, West Tehran Branch
2026-10-23Learning Dominant States in Elementary Resource Constrained Shortest Path ProblemsAnnals of Operations ResearchSaverio Basso, Alessandro Minoli, Matteo SalaniDalle Molle Institute for Artificial Intelligence Research
2026-10-21Solving two-stage stochastic programming problems using alternating direction method of multipliersComputational Optimization and ApplicationsNouralden Mohammed, Montaz AliUniversity of the Witwatersrand
2026-10-21A regional multi-criteria assessment of European education and training systemsOmegaFernando J. Osório, Luís Cândido DiasUniversidade do Porto; INESC TEC; University of Coimbra
2026-10-20Multi-agent assisted co-evolutionary memetic algorithm for lot-streaming flexible job shop energy-efficient scheduling problem with asynchronous assemblyExpert Systems with ApplicationsGan Jiang, Qiuhua Tang, Zikai Zhang et al.Wuhan University of Science and Technology
2026-10-20A new hierarchical matheuristic applied to the helicopter routing problems (HRP)Journal of HeuristicsAndré Machado, Rodrigo Rosa, Hendrigo Venes et al.Universidade Federal do Espírito Santo
2026-10-19Reusability report: multi-sample omics network inference operates in distinct robustness regimes defined by prior knowledge and data availabilityNature Machine IntelligenceXabier Martinez‐de‐Morentin, Sameer Ahmad Khan, Itziar Cenzano et al.King Abdullah University of Science and Technology; Ilia State University; Karolinska University Hospital; …
2026-10-19Optimizing product return timing in integrated viable circular manufacturing systems: a two-stage stochastic approachAnnals of Operations ResearchSobhan Mostafayi Darmian, Fabio SgarbossaNorwegian University of Science and Technology
2026-10-19Solutions of two-stage stochastic minimax problemsMathematical ProgrammingHailin Sun, Xiaojun ChenNanjing Normal University; Hong Kong Polytechnic University
2026-10-18Two-Echelon Electric Vehicle Routing with Mobile Parcel Lockers: A Three-Stage Adaptive Matheuristic with Exact ReplenishmentComputers & Operations ResearchNima Moradi, Fereshteh Mafakheri, Chun WangConcordia University; Université du Québec à Montréal; École Nationale d'Administration Publique
2026-10-18Design of hybrid multi-energy systems under uncertainty: An adjustable robust optimization approachComputers & Operations ResearchPatrizia Beraldi, Derya DinlerUniversity of Calabria; Hacettepe University
2026-10-17Improved approximation algorithm for min-max correlation clustering problem with penaltiesJournal of Combinatorial OptimizationYuebo Huang, Sai Ji, Xiaoyun Tian et al.Hebei University of Technology; Hainan University; Hoseo University
2026-10-17Modelling phased railway infrastructure upgrades deployment with a case study to ERTMS roll-outTransportation Research Part B MethodologicalPaloma Aparecida Freitas Duarte, Lucas P. Veelenturf, Dennis HuismanErasmus University Rotterdam; Nederlandse Spoorwegen
2026-10-17A Bayesian-guided aggregation-disaggregation algorithm for transit planningTransportation Research Part C Emerging TechnologiesGolbarg Dokhani, Jisoon Lim, Yiyang Wang et al.University of Michigan; Amazon (United States)
2026-10-16A Malatya Centrality-based algorithm for optimal solutions to maximum independent set and minimum vertex cover problems in lattice graphsOperational ResearchSelman YakutInonu University
2026-10-16A mixed-integer linear programming approach to container terminal layout optimization: application to the port of PiraeusOperational ResearchKonstantinos Charalampidis, Ιωάννης Καμπούρης, Tatiana P. MoschovouNational Technical University of Athens
2026-10-16Integrated optimization for fleet sequencing, deploying, and scheduling based on carbon intensity managementOperational ResearchJian Du, Yixuan Chen, Ran Zhang et al.Dalian Jiaotong University
2026-10-16Multi-objective optimization for emergency primary logistics of refined products under pipeline disruption condition: a case study in ChinaOperational ResearchXingyuan Zhou, Mengyun Lyu, Bohong Wang et al.Beijing Wuzi University; Zhejiang Ocean University; China University of Petroleum, Beijing
2026-10-16A hybrid metaheuristic for the family capacitated vehicle routing problemJournal of HeuristicsBruno Oliveira, D閎ora Balduci Lima, Marcos Costa RoboredoUniversidade Federal Fluminense
2026-10-16An exact solution algorithm for the bi-level optimization problem of electric vehicles charging station placementTransportation Research Part B MethodologicalMobina Nankali, Michael W. LevinUniversity of Minnesota
2026-10-16A physical model approach to order lot sizingOperational ResearchTania Daiana Tobares, Margarita Miguelina Mieras, Fabricio Orlando Sanchez Varretti et al.National Technological University; Instituto de Investigaciones Físicas de Mar del Plata; National University of San Luis
2026-10-15Geopolitical risk spillovers among GCC stock markets, non-renewable energy, and gold: evidence from a quantile connectedness approachPortuguese Economic JournalNidhal Mgadmi, Fekria Belhouichet, Ştefan Cristian Gherghina et al.University of Sfax; Faculty of Economics and Management of Sfax; Bucharest University of Economic Studies; …
2026-10-15Automated optimization modeling and auditing via dual-team multi-LLM-agent cooperative frameworkApplied IntelligenceYuan Chiang, Wenhui FanTsinghua University
2026-10-15Interior-Point Methods for Optimal Power Flow with Scheduled Topological Changes under Uncertain DemandAnnals of Operations ResearchS. M. S. Carvalho, Demacio Costa de Oliveira, AURELIO RIBEIRO LEITE OLIVEIRA et al.Universidade Federal de São Carlos; Universidade Federal Rural de Pernambuco; Universidade Estadual de Campinas (UNICAMP)
2026-10-15Joint fulfillment and consolidation of multi-item orders in e-commerce: A two-phase heuristicComputers & Industrial EngineeringKehinde G. Ismaila, Adriana Felicia Gabor, Andrei Sleptchenko et al.Khalifa University of Science and Technology
2026-10-14Modeling and simulating human behavior in large-scale emergency evacuations: A comprehensive reviewTransportation Research Part B MethodologicalShiva Moslemi, Ada Arıkanoğlu, Vedat Bayram et al.
2026-10-13The automated valet parking problem for parking garage service provisionJournal of SchedulingMarc Schmidt, Philipp StaudtKarlsruhe Institute of Technology
2026-10-13Hierarchical facility location-inventory-routing problem for maximal joint and gradual coverageOperational ResearchBüşra Sultan Bayat, Ertan Yakıcı, Levent Erişkin et al.Milli Savunma Üniversitesi; Çankaya University; Piri Reis University; …
2026-10-13Monte Carlo tree search for the multi-crane scheduling problem with temporal constraintsFlexible Services and Manufacturing JournalWoo-Jin Shin, Seungkyu Yoon, Hyun-Jung KimGyeongsang National University; Korea Advanced Institute of Science and Technology
2026-10-12Disruption management for large-scale railway networks: A progressive approach with time-phased architectureTransportation Research Part C Emerging TechnologiesYuehao Zhu, Lingyun Meng, Xiaojie Luan et al.Beijing Jiaotong University; Roma Tre University
2026-10-12Infrastructure-enabled centralized trajectory planning for lane sorting in mixed-autonomy urban traffic bottlenecksTransportation Research Part C Emerging TechnologiesQingquan Liu, Kaixuan Tian, Xiangdong Chen et al.Chongqing University; Tsinghua University; National University of Singapore
2026-10-10A fair profit distribution as a resilient strategy in supply chains under ripple effectFlexible Services and Manufacturing JournalTadeusz J. SawikIndian Institute of Technology Bombay
2026-10-10Toward smart wildfire surveillance: Multi-depot drone routing optimization using bio-inspired algorithmsComputers & Industrial EngineeringMohamed Salim Amri Sakhri
2026-10-09A Q-Learning-Based hybrid optimization algorithm for storage space allocation and yard Crane cooperative scheduling in double U-shaped Automated container terminalsExpert Systems with ApplicationsHouming Fan, Wenxin Liu, Hao Fan et al.Dalian University of Technology; Dalian University; Dalian Maritime University; …
2026-10-09Rolling-horizon replanning for two-echelon truck–drone routing with dynamically released pickupsTransportation Research Part C Emerging TechnologiesFan Yu, Yanzhan Chen, Qun Chen et al.Central South University
2026-10-09Schedules for pick-and-place robotsJournal of SchedulingPeter Buchholz, Alexander PuzichaTU Dortmund University
2026-10-09Resilient agricultural supply chain network design under disruptions with quality deterioration and cold chain integrationComputers & Industrial EngineeringYilan Xu, YANG YuxiangChina Jiliang University
2026-10-08Decarbonizing oxy-fuel glass furnaces through multi-objective batch and energy planningInternational Journal of Production EconomicsHossein Arshad, Chiara Caccamo, Thiago Lima Silva et al.Norwegian University of Science and Technology; SINTEF; SINTEF Energy Research
2026-10-08Virtual formation train timetabling optimization of urban railway networks with rolling stock circulation plan: A coordinate descent-based decomposition methodTransportation Research Part C Emerging TechnologiesNan Zheng, Yin Yuan, Junlin Song et al.Beijing Jiaotong University; Hong Kong Polytechnic University
2026-10-08Data-driven optimization for drone-truck delivery network design under stochastic demand and semi-open queuing networkExpert Systems with ApplicationsSayed Hamid Hosseini Dolatabadi, Rakesh Chowdhury, Tanveer Hossain Bhuiyan et al.Texas State University; The University of Texas at San Antonio
2026-10-07Human-centric multi-objective optimization of skill-based multi-manned assembly lines using machine learning–guided reinforcement learningComputers & Industrial EngineeringMansoureh Naderipour, Fahimeh TanhaieShahid Bahonar University of Kerman; Kosar University of Bojnord
2026-10-07Integrated optimization of collection point selection, UAV routing, and upload scheduling for UAV-aided data collectionTransportation Research Part C Emerging TechnologiesBingjie Liang, Gang Zhong, Yuanzhang Zhao et al.Nanjing University of Aeronautics and Astronautics; Southeast University; University of Wisconsin–Madison
2026-10-07Extended triangle inequalities for nonconvex box-constrained quadratic programmingJournal of Global OptimizationKurt M. Anstreicher, Diane PugesUniversity of Iowa; University of Klagenfurt
2026-10-06Dynamic last-mile delivery with fatigue under travel time uncertaintyTransportation Research Part E Logistics and Transportation Review楊立勤, Yu Zhang, Roberto Baldacci et al.Southwestern University of Finance and Economics; Hamad bin Khalifa University; Southwest Jiaotong University
2026-10-06Optimization modeling in business and government: in honor of Professor John M. Mulvey on his 80th birthdayAnnals of Operations ResearchDavid A. Saunders, Stavros A. ZeniosUniversity of Waterloo; Durham University; University of Cyprus
2026-10-05Time–dependent manned–unmanned collaborative delivery routing with partial charging and locker configuration of unmanned ground vehiclesComputers & Operations ResearchWenheng Liu, Ge Feng, Weicun Zhang et al.Hebei University of Technology
2026-10-05Robust vehicle routing problem with flexible docking drones in humanitarian logisticsTransportation Research Part C Emerging TechnologiesMingze Wu, Xinpeng Geng, Chun Cheng et al.Dalian Maritime University; Dalian University of Technology; University of Wisconsin–Madison
2026-10-05Spatio-temporal graph reinforcement learning for multi-period supply chain synchronization: Joint procurement, warehousing, and multimodal routing with multiple 3PL providersComputers & Operations ResearchJinjin Cai, Rui Song, 何世伟 et al.Beijing Jiaotong University
2026-10-05Beyond productivity: Does ICT agglomeration drive regional eco-efficiency?Structural Change and Economic DynamicsMaria Chiara D’Errico, Anna Maria Ferragina, Stefano Iandolo et al.University of Perugia; University of Salerno; École Supérieure du Commerce Extérieur; …
Cite this page

Scholar4AI. (2026). Linear and integer programming. Journal Research Rankings. Retrieved October 26, 2026, from https://scholar4ai.com/equations/linear-and-integer-programming

@misc{scholar4ai-equations-linear-and-integer-programming,
  author = {{Scholar4AI}},
  title = {Linear and integer programming},
  year = {2026},
  howpublished = {\url{https://scholar4ai.com/equations/linear-and-integer-programming}},
  urldate = {2026-10-26},
  note = {Journal Research Rankings; data from OpenAlex (CC0); licensed CC BY-NC 4.0}
}

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