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  1. 1

    Single allocation hub location problems with congestion: Mixed-integer second-order cone programming and Benders decomposition by Hu, Qing-Mi, Hu, Shaolong

    ISSN: 1366-5545
    Published: Elsevier Ltd 01.09.2025
    “… of the congestion cost. A novel Mixed-Integer Linear Programming (MILP) reformulation method utilizing the binary representation of non-negative integers and a strong Mixed-Integer Second-Order Cone Programming (MISOCP…”
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    Journal Article
  2. 2

    Mixed-integer second-order cone programming model for bus route clustering problem by Wang, Shuaian, Zhang, Wei, Bie, Yiming, Wang, Kai, Diabat, Ali

    ISSN: 0968-090X, 1879-2359
    Published: Elsevier Ltd 01.05.2019
    “…•Propose a practical bus route clustering problem (BRCP).•Formulate a mixed-integer second-order cone programming (MISOCP) model…”
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  3. 3

    Damper placement optimization in a shear building model with discrete design variables: a mixed-integer second-order cone programming approach by Kanno, Yoshihiro

    ISSN: 0098-8847, 1096-9845
    Published: Chichester Blackwell Publishing Ltd 01.09.2013
    “… The damping coefficients of dampers are treated as discrete design variables. It is shown that a minimization problem of the sum of the transfer function amplitudes of the interstory drifts can be formulated as a mixedinteger second…”
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  4. 4

    Coordinated active-reactive power optimization considering photovoltaic abandon based on second order cone programming in active distribution networks by Peng, Bo, Wang, Yongjie

    ISSN: 1932-6203, 1932-6203
    Published: United States Public Library of Science 19.09.2024
    Published in PloS one (19.09.2024)
    “… To solve this problem efficiently, the method of DistFlow equation and mixed integer second order cone programming (MISOCP…”
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  5. 5

    Multitime Scale Co-Optimized Dispatch for Integrated Electricity and Natural Gas System Considering Bidirectional Interactions and Renewable Uncertainties by Zhang, Zhenwei, Wang, Chengfu, Chen, Shuai, Zhao, Yufei, Dong, Xiaoming, Han, Xueshan

    ISSN: 0093-9994, 1939-9367
    Published: New York IEEE 01.07.2022
    Published in IEEE transactions on industry applications (01.07.2022)
    “…) considering the bidirectional interactions and renewable uncertainties. In the proposed model, optimal dispatch is extended into three substages optimization problems…”
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  6. 6

    Applications of Stochastic Mixed-Integer Second-Order Cone Optimization by Alzalg, Baha, Alioui, Hadjer

    ISSN: 2169-3536, 2169-3536
    Published: Piscataway IEEE 2022
    Published in IEEE access (2022)
    “… In this paper, we describe five applications that lead to stochastic mixed-integer second-order cone programming problems…”
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  7. 7

    Data-driven distributionally robust joint planning of distributed energy resources in active distribution network by Gao, Hongjun, Wang, Renjun, Liu, Youbo, Wang, Lingfeng, Xiang, Yingmeng, Liu, Junyong

    ISSN: 1751-8687, 1751-8695
    Published: The Institution of Engineering and Technology 11.05.2020
    “…), how to enable joint planning of DERs under the uncertainty of distributed generations (DGs) has become a challenging problem…”
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  8. 8

    Resilient co-expansion planning between gas and electric distribution networks against natural disasters by Zou, Bo, Wang, Cheng, Zhou, Ying, Wang, Jianhui, Chen, Chen, Wen, Fushuan

    ISSN: 1751-8687, 1751-8695
    Published: The Institution of Engineering and Technology 04.09.2020
    “…Resiliently designed and constructed integrated gas-electric distribution networks (GEDNs) against natural disasters are crucial to social welfare. In this…”
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  9. 9

    Coordinating dynamic network reconfiguration with ANM in active distribution network optimisation considering system structure security evaluation by Li, Chao, Miao, Shihong, Li, Yaowang, Zhang, Di, Ye, Chang, Liu, Ziwen, Li, Lixing

    ISSN: 1751-8687, 1751-8695
    Published: The Institution of Engineering and Technology 08.10.2019
    “…The growing penetration of renewable energy resources in distribution networks demands for more active management tools. As a new controllable resource,…”
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  10. 10

    Fault-tolerant Controller Placement Model Considering Load-dependent Sojourn Time in Software-defined Network by Noda, Shinji, Sato, Takehiro, Oki, Eiji

    ISSN: 1932-4537, 1932-4537
    Published: New York IEEE 01.12.2023
    “… The proposed model is formulated as a mixed integer second-order cone programming (MISOCP) problem. The controller placement problem studied in this paper is proven to be NP-hard…”
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  11. 11

    Mixed integer second-order cone programming formulations for variable selection in linear regression by Miyashiro, Ryuhei, Takano, Yuichi

    ISSN: 0377-2217, 1872-6860
    Published: Amsterdam Elsevier B.V 16.12.2015
    Published in European journal of operational research (16.12.2015)
    “…•AIC/BIC minimization, and adjusted R2 maximization problems are considered.•These problems are formulated as mixed integer second-order cone programming problems…”
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  12. 12

    Minimization of the distribution operating costs with D-STATCOMS: A mixed-integer conic model by Montoya, Oscar Danilo, Garces, Alejandro, Gil-González, Walter

    ISSN: 0378-7796, 1873-2046
    Published: Elsevier B.V 01.11.2022
    Published in Electric power systems research (01.11.2022)
    “… In contrast, we propose a mixed-integer second-order cone programming (MI-SOCP) model that guarantees global optimum and fast convergence of the algorithms in optimization solvers…”
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  13. 13

    Distributionally Robust Chance-Constrained Markov Decision Processes with Random Payoff by Nguyen, Hoang Nam, Lisser, Abdel, Singh, Vikas Vikram

    ISSN: 0095-4616, 1432-0606
    Published: New York Springer US 01.08.2024
    Published in Applied mathematics & optimization (01.08.2024)
    “…A Markov Decision Process (MDP) is a framework used for decision-making. In an MDP problem, the decision…”
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  14. 14

    A New Mathematical Model for the Restoration Problem in Balanced Radial Distribution Systems by Romero, Ruben, Franco, John F., Leao, Fabio B., Rider, Marcos J., de Souza, Eliane S.

    ISSN: 0885-8950, 1558-0679
    Published: New York IEEE 01.03.2016
    Published in IEEE transactions on power systems (01.03.2016)
    “… The restoration problem, originally modeled as mixed integer nonlinear programming, is transformed into a mixed integer second-order cone programming problem, which can be solved efficiently using…”
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  15. 15

    Comparison of various solution techniques in dispatching coupled electricity-heat system with independent thermal energy storage by Liu, Bin, Meng, Ke, Dong, Zhao Yang

    ISSN: 1752-1416, 1752-1424, 1752-1424
    Published: The Institution of Engineering and Technology 24.02.2020
    Published in IET renewable power generation (24.02.2020)
    “… Although the problem can be reformulated as a mixed integer second-order cone programming (MISOCP…”
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  16. 16

    Robust Coordinated Optimization of Active and Reactive Power in Active Distribution Systems by Gao, Hongjun, Liu, Junyong, Wang, Lingfeng

    ISSN: 1949-3053, 1949-3061
    Published: Piscataway IEEE 01.09.2018
    Published in IEEE transactions on smart grid (01.09.2018)
    “… and intermittent renewable energy resources. In this paper, using the branch flow model-based relaxed optimal power flow, we formulate a robust coordinated optimization problem for active and reactive powers as a mixed integer second-order cone (SOC…”
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  17. 17

    An optimal transmission line switching and bus splitting heuristic incorporating AC and N-1 contingency constraints by Heidarifar, Majid, Andrianesis, Panagiotis, Ruiz, Pablo, Caramanis, Michael C., Paschalidis, Ioannis Ch

    ISSN: 0142-0615
    Published: Elsevier Ltd 01.12.2021
    “…•Bus splitting is a powerful tool in relieving transmission network congestion.•Line switching and bus splitting are employed to minimize the operation…”
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  18. 18

    Optimal Allocation of Dispersed Energy Storage Systems in Active Distribution Networks for Energy Balance and Grid Support by Nick, Mostafa, Cherkaoui, Rachid, Paolone, Mario

    ISSN: 0885-8950, 1558-0679
    Published: New York IEEE 01.09.2014
    Published in IEEE transactions on power systems (01.09.2014)
    “… Within this context, this paper focuses on the optimal allocation of DSSs in ADNs by defining a multi-objective optimization problem aiming at finding the optimal trade-off between technical and economical goals…”
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  19. 19

    A bidding mechanism for maintenance of generation units considering inter-ISO power exchange by Fu, Jianfeng, Núñez, Alfredo, De Schutter, Bart

    ISSN: 0142-0615
    Published: Elsevier Ltd 01.01.2023
    “…To ensure the reliability of power systems, the independent system operator (ISO) manages the planning process of the maintenance of generation units for…”
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  20. 20

    On Valid Inequalities for Mixed Integer p-Order Cone Programming by Vinel, Alexander, Krokhmal, Pavlo

    ISSN: 0022-3239, 1573-2878
    Published: Boston Springer US 01.02.2014
    “… cuts and lifted cuts for mixed integer programming problems with second-order cone constraints…”
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