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  1. 1

    Model and Analysis of Economic- and Risk-Based Objective Optimization Problem for Plant Location within Industrial Estates Using Epsilon-Constraint Algorithms by Wattanasaeng, Niroot, Ransikarbum, Kasin

    ISSN: 2079-3197, 2079-3197
    Published: Basel MDPI AG 01.04.2021
    Published in Computation (01.04.2021)
    “…In many countries, a number of industrial estates have been established to support the growth of the industrial sector, which is an essential strategy to drive…”
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    Journal Article
  2. 2

    DMaOEA-εC: Decomposition-based many-objective evolutionary algorithm with the ε-constraint framework by Li, Juan, Li, Jie, Pardalos, Panos M., Yang, Chengwei

    ISSN: 0020-0255, 1872-6291
    Published: Elsevier Inc 01.10.2020
    Published in Information sciences (01.10.2020)
    “…[Display omitted] •An improved DMOEA-εC named DMaOEA-εC is proposed for MOPs and MaOPs.•A two-stage procedure is presented to generate widely spread upper…”
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  3. 3

    Multi-Objective Stochastic Synchronous Timetable Optimization Model Based on a Chance-Constrained Programming Method Combined with Augmented Epsilon Constraint Algorithm by Yuan, Yu, Wang, Pengcheng, Wang, Minghui

    ISSN: 1024-123X, 1563-5147
    Published: New York Hindawi 28.08.2022
    Published in Mathematical problems in engineering (28.08.2022)
    “…The design of the timetable is essential to improve the service quality of the public transport system. A lot of random factors in the actual operation…”
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  4. 4

    Finite element model updating of an 18-story structure using branch-and-bound algorithm with epsilon-constraint by Otsuki, Yu, Li, Dan, Dey, Santanu S., Kurata, Masahiro, Wang, Yang

    ISSN: 2190-5452, 2190-5479
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2021
    “… We propose a reformulation of the modal property difference approach using epsilon-constraint, to enable…”
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  5. 5

    A novel optimization algorithm based on epsilon constraint-RBF neural network for tuning PID controller in decoupled HVAC system by Attaran, Seyed Mohammad, Yusof, Rubiyah, Selamat, Hazlina

    ISSN: 1359-4311
    Published: Elsevier Ltd 25.04.2016
    Published in Applied thermal engineering (25.04.2016)
    “…•Decoupling of a heating, ventilation, and air conditioning system is presented.•RBF models were identified by Epsilon constraint method for temperature and humidity…”
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  6. 6

    An Epsilon constraint-based evolutionary algorithm and multi-objective quality metrics for combined economic emission dispatch problem by Chan, Kit Yan, Yiu, Ka Fai Cedric, Kim, Dowon

    ISSN: 0941-0643, 1433-3058
    Published: London Springer London 01.08.2025
    Published in Neural computing & applications (01.08.2025)
    “… The Epsilon constraint algorithm accelerates the search for optimal solutions…”
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  7. 7

    Sustainable cast iron supply chain network design: Robust multi-objective optimization with scenario reduction via genetic algorithm by Fathollahzadeh, Kasra, Saeedi, Mehran, Ghasempour Anaraki, Matin, Rabiee, Meysam

    ISSN: 0925-5273
    Published: Elsevier B.V 01.11.2025
    “… To manage uncertainty in demand, transportation, and raw material supply, the model combines robust stochastic programming with the augmented epsilon constraint algorithm…”
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  8. 8

    A Weighted and Epsilon-Constraint Biased-Randomized Algorithm for the Biobjective TOP with Prioritized Nodes by Agud-Albesa, Lucia, Garrido, Neus, Juan, Angel A., Llorens, Almudena, Oltra-Crespo, Sandra

    ISSN: 2079-3197, 2079-3197
    Published: Basel MDPI AG 01.04.2024
    Published in Computation (01.04.2024)
    “…This paper addresses a multiobjective version of the Team Orienteering Problem (TOP). The TOP focuses on selecting a subset of customers for maximum rewards while considering time and fleet size constraints…”
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  9. 9

    Fair allocation of personal protective equipment to health centers during early phases of a pandemic by Dönmez, Zehranaz, Turhan, Serkan, Karsu, Özlem, Kara, Bahar Y., Karaşan, Oya

    ISSN: 0305-0548, 1873-765X, 0305-0548
    Published: New York Elsevier Ltd 01.05.2022
    Published in Computers & operations research (01.05.2022)
    “…-constraint algorithm so as to obtain the exact Pareto set. We also develop a customized genetic algorithm to obtain an approximate Pareto frontier in reasonable time for larger instances…”
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  10. 10

    Bi-objective optimization of a queueing model with two-phase heterogeneous service by Wu, Chia-Huang, Yang, Dong-Yuh

    ISSN: 0305-0548, 1873-765X, 0305-0548
    Published: New York Elsevier Ltd 01.06.2021
    Published in Computers & operations research (01.06.2021)
    “…•We consider an M/M/(1 + c) queueing system with two-phase heterogeneous service.•The stability condition is derived using the matrix-geometric method.•We…”
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  11. 11

    Stochastic multi-objective optimization for dynamic timetable and track allocation at high-speed railway hubs by Yan, Bing, Huang, Lu, Wan, Chen, Qu, Siyuan, Fan, Xiaodong, Zou, Xiaolei

    ISSN: 2046-0430
    Published: Elsevier B.V 01.03.2025
    “… To solve this model efficiently, a customized augmented epsilon-constraint algorithm (CAEC) is introduced, utilizing augmented constraints and interval partitioning to generate Pareto-optimal solutions…”
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  12. 12

    Flexible multi-unmanned ground vehicles (MUGVs) in intersection coordination based on ε-constraint probability collectives algorithm by Zhu, Zhengze, Adouane, Lounis, Quilliot, Alain

    ISSN: 2366-5971, 2366-598X
    Published: Singapore Springer Singapore 01.06.2021
    “… With its relative low execution time, the probability collectives (PC) algorithm has succeeded at generating fast and feasible solutions to cross intersections and roundabouts (Philippe et al. 1928–1934, 2019…”
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  13. 13

    Multi objective Model of airport gate scheduling problem using NSGA-II algorithm and epsilon constraint by sanaz khatibi, Morteza khakzar Bafruei, Morteza Rahmani

    ISSN: 2008-4854, 2783-2538
    Published: Semnan University 01.12.2017
    Published in مجله مدل سازی در مهندسی (01.12.2017)
    “… The main purpose of this problem is to find an assignment for the flights arriving and departing while satisfying a set of practical constraints…”
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  14. 14

    A Multi-objective Optimization Model for Dynamic Virtual Cellular Manufacturing Systems by Vahid Razmjoei, Iraj Mahdavi, Nezam Mahdavi-Amiri, Mohammad Mahdi Paydar

    ISSN: 2008-4889, 2345-363X
    Published: Iran University of Science & Technology 01.06.2022
    “…Companies and firms, nowadays, due to mounting competition and product diversity, seek to apply virtual cellular manufacturing systems to reduce production…”
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  16. 16

    Toward a safe supply chain: Incorporating accident, physical, psychosocial and mental overload risks into supply chain network by Karimi, Sajad, Ardalan, Zaniar, Poursabzi, Omid, Naderi, B.

    ISSN: 1387-585X, 1573-2975
    Published: Dordrecht Springer Netherlands 01.06.2023
    “… We formulated a multi-objective closed-loop supply chain network as a mixed integer linear programming model and customized augmented epsilon constraint algorithm…”
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  17. 17

    Evaluating the Effectiveness of Integrated Benders Decomposition Algorithm and Epsilon Constraint Method for Multi-Objective Facility Location Problem under Demand Uncertainty by Rahimi, Iman, Tang, Sai Hong, Ahmadi, Abdollah, Ahmad, Siti Azfanizam Binti, Lee, Lai Soon, Sharaf, Adel M

    ISSN: 2008-7055, 2345-3745
    Published: Qom University of Tehran, Farabi College 22.06.2017
    Published in Iranian journal of management studies (22.06.2017)
    “… For this aim, a multi-objective facility location allocation model is proposed. In this case, an integrated BDA and epsilon constraint method are proposed and it is shown that how Pareto points in multi-objective facility location model can be found…”
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  18. 18

    Ensuring multidimensional equality in public service by Akoluk, Damla, Karsu, Özlem

    ISSN: 0038-0121, 1873-6041
    Published: Oxford Elsevier Ltd 01.03.2022
    Published in Socio-economic planning sciences (01.03.2022)
    “…Service planning problems typically involve decisions that lead to the distribution of multiple benefits to multiple users, and hence include equality and…”
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  19. 19

    Solving binary-state multi-objective reliability redundancy allocation series-parallel problem using efficient epsilon-constraint, multi-start partial bound enumeration algorithm, and DEA by Khalili-Damghani, Kaveh, Amiri, Maghsoud

    ISSN: 0951-8320, 1879-0836
    Published: Oxford Elsevier Ltd 01.07.2012
    Published in Reliability engineering & system safety (01.07.2012)
    “… The statistical analysis represents that not only the proposed efficient epsilon-constraint method outperform the multi-start partial bound enumeration algorithm but also it improves…”
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  20. 20

    Constrained Multi-Objective Water Evaporation Optimization Algorithm Based on Decomposition With ε-Constraint Handling Technology by Wang, Yan-Jiao, Zhou, Sheng-Nan, Che, Xiang-Yang

    ISSN: 2169-3536, 2169-3536
    Published: Piscataway IEEE 2020
    Published in IEEE access (2020)
    “…, <inline-formula> <tex-math notation="LaTeX">\varepsilon </tex-math></inline-formula>-constraint handling technology to handle constraints and WEO algorithm to perform the main body evolution operation…”
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