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  1. 1

    Mixed-integer second-order cone programming framework for optimal scheduling of microgrids considering power flow constraints by Fu, Long, Meng, Ke, Liu, Bin, Dong, Zhao Yang

    ISSN: 1752-1416, 1752-1424, 1752-1424
    Published: The Institution of Engineering and Technology 28.10.2019
    Published in IET renewable power generation (28.10.2019)
    “… To address this concern, this study presents a mixed integer linear reformulation to characterise the operation of different…”
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    Journal Article
  2. 2

    Hydrogen-Based Networked Microgrids Planning Through Two-Stage Stochastic Programming With Mixed-Integer Conic Recourse by Cao, Xiaoyu, Sun, Xunhang, Xu, Zhanbo, Zeng, Bo, Guan, Xiaohong

    ISSN: 1545-5955, 1558-3783
    Published: New York IEEE 01.10.2022
    “…, RES generation, electric loads, and the refueling demands of hydrogen vehicles), we propose a two-stage stochastic formulation with mixed integer conic program (MICP) recourse decisions…”
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    Journal Article
  3. 3

    Integrated Multi-Timescale Battery Dispatch and Overload Mitigation: An Agent-Based Optimization Framework for High EV Penetration in Danish Distribution Networks by Cong, Lu, Jørgensen, Bo Nørregaard, Ma, Zheng Grace

    ISSN: 2079-9292, 2079-9292
    Published: Basel MDPI AG 16.04.2025
    Published in Electronics (Basel) (16.04.2025)
    “… To address these issues, we propose an integrated, multi-timescale battery dispatch framework that unifies long-term capacity planning, day-ahead/intra-day scheduling, and sub-minute real-time control…”
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    Journal Article
  4. 4

    Distributionally robust optimization of an emergency medical service station location and sizing problem with joint chance constraints by Liu, Kanglin, Li, Qiaofeng, Zhang, Zhi-Hai

    ISSN: 0191-2615, 1879-2367
    Published: Oxford Elsevier Ltd 01.01.2019
    “…•Risk-averse features are considered both quantitatively and qualitatively.•The proposed approximation for joint chance constraints is less conservative compared with individual ones in a special case…”
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    Journal Article
  5. 5

    Optimal Joint Remote Radio Head Selection and Beamforming Design for Limited Fronthaul C-RAN by Phuong Luong, Gagnon, Francois, Despins, Charles, Le-Nam Tran

    ISSN: 1053-587X, 1941-0476
    Published: IEEE 01.11.2017
    Published in IEEE transactions on signal processing (01.11.2017)
    “… Due to the nonconvexity of perfronthaul capacity constraints and introduced binary selection variables, the formulated problem lends itself to a mixed-integer nonconvex program, which is generally…”
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    Journal Article
  6. 6

    A Mixed-Integer Convex Optimization Framework for Cost-Effective Conductor Selection in Radial Distribution Networks While Considering Load and Renewable Variations by Montoya, Oscar Danilo, Florez-Cediel, Oscar David, Grisales-Noreña, Luis Fernando, Gil-González, Walter, Giral-Ramírez, Diego Armando

    ISSN: 2413-4155, 2413-4155
    Published: Basel MDPI AG 03.06.2025
    Published in Sci (03.06.2025)
    “… This paper proposed a mixed-integer convex (MI-Convex) optimization framework to solve the OCS problem under balanced operating conditions, integrating the costs of conductor investment and energy losses into a single convex objective…”
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    Journal Article
  7. 7

    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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    Journal Article
  8. 8

    Learning-Accelerated Exact Mixed-Integer Second-Order Cone Programming for Unit Commitment by Maisonneuve, Philippe

    ISBN: 9798288856273
    Published: ProQuest Dissertations & Theses 01.01.2023
    “… This results in these problems being best represented as mixed-integer second order cone programs (MISOCPs…”
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    Dissertation
  9. 9

    Multi-Period Portfolio Optimization Model with Cone Constraints and Discrete Decisions by Sağlam, Ümit, Benson, Hande Y.

    ISSN: 1911-8074, 1911-8066, 1911-8074
    Published: Basel MDPI AG 01.04.2025
    Published in Journal of risk and financial management (01.04.2025)
    “… To efficiently solve the resulting mixed-integer second-order cone programming (MISOCP) problem, we employ an outer approximation algorithm with a warmstart strategy, which significantly improves solution runtimes and computational efficiency…”
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    Journal Article
  10. 10

    Advanced Flexibility Support through DSO-Coordinated Participation of DER Aggregators in the Balancing Market by Lazović, Đorđe, Đurišić, Željko

    ISSN: 1996-1073, 1996-1073
    Published: Basel MDPI AG 01.04.2023
    Published in Energies (Basel) (01.04.2023)
    “…Future power systems with a high share of intermittent renewable energy sources (RES) in the energy portfolio will have an increasing need for active power…”
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    Journal Article
  11. 11

    Towards Resilient Operation of Multimicrogrids: An MISOCP-Based Frequency-Constrained Approach by Gholami, Amin, Sun, Xu Andy

    ISSN: 2325-5870, 2372-2533
    Published: Piscataway IEEE 01.09.2019
    “…>Gs is one of the main challenges in this context. To address this challenge, this paper proposes a comprehensive optimization and real-time control framework…”
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    Journal Article
  12. 12

    Outer approximation with conic certificates for mixed-integer convex problems by Coey, Chris, Lubin, Miles, Vielma, Juan Pablo

    ISSN: 1867-2949, 1867-2957
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2020
    Published in Mathematical programming computation (01.06.2020)
    “…A mixed-integer convex (MI-convex) optimization problem is one that becomes convex when all integrality constraints are relaxed…”
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    Journal Article
  13. 13

    Data-driven distributionally robust chance-constrained optimization with Wasserstein metric by Ji, Ran, Lejeune, Miguel A.

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.04.2021
    Published in Journal of global optimization (01.04.2021)
    “… For the continuum of realizations case with random right-hand side, we propose an exact mixed-integer second-order cone programming (MISOCP…”
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    Journal Article
  14. 14

    An Energy Efficient Network Reconfiguration in Active Distribution Network by Incorporating Losses from Converter-Based DGs by Vemalaiah, Kasi, Khatod, Dheeraj Kumar, Padhy, Narayana Prasad

    ISSN: 1944-9933
    Published: IEEE 16.07.2023
    “…The minimization of losses is one of the key objectives behind the operation of the distribution network…”
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    Conference Proceeding
  15. 15

    Bi-objective load balancing multiple allocation hub location: a compromise programming approach by Monemi, Rahimeh Neamatian, Gelareh, Shahin, Nagih, Anass, Jones, Dylan

    ISSN: 0254-5330, 1572-9338
    Published: New York Springer US 01.01.2021
    Published in Annals of operations research (01.01.2021)
    “… wherein the number of hub nodes traversed along origin-destination pairs is not constrained to one or two as in the classical models…”
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    Journal Article
  16. 16

    Pricing inertia and Frequency Response with diverse dynamics in a Mixed-Integer Second-Order Cone Programming formulation by Badesa, Luis, Teng, Fei, Strbac, Goran

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 04.12.2019
    Published in arXiv.org (04.12.2019)
    “… This pricing scheme, deduced from a Mixed-Integer Second-Order Cone Program (MISOCP) formulation that represents frequency-security constraints, allows for the first time to appropriately value multi-speed FR…”
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    Paper
  17. 17

    Coordinating drones with mothership vehicles: The mothership and drone routing problem with graphs by Amorosi, Lavinia, Puerto, Justo, Valverde, Carlos

    ISSN: 0305-0548, 0305-0548
    Published: New York Elsevier Ltd 01.12.2021
    Published in Computers & operations research (01.12.2021)
    “…•Graphs arc routing problems with one drone and one mothership.•First mathematical formalization of the problem via MINLP formulations…”
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    Journal Article
  18. 18

    Probabilistic power flow calculation in active distribution networks based on hybrid distribution transformers by Wang, Yibo, Liu, Kaipu, Liu, Chen, Liu, Yu, Fan, Jiaming, Liu, Chuang

    ISSN: 0378-7796
    Published: Elsevier B.V 01.12.2025
    Published in Electric power systems research (01.12.2025)
    “… An HDT-integrated active distribution network model is first established, and a Mixed-Integer Second…”
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    Journal Article
  19. 19

    A fast converging algorithm for limited fronthaul C-RANs design: Power and throughput trade-off by Phuong Luong, Despins, Charles, Gagnon, Francois, Le-Nam Tran

    ISSN: 1938-1883
    Published: IEEE 01.05.2017
    “… The problem arrived at each iteration is a mixed integer second order cone programming which can be solve optimally and efficiently. Numerical results show that our proposed algorithms converge rapidly and outperform the existing solutions…”
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    Conference Proceeding
  20. 20

    Distribution-Level Robust Energy Management of Power Systems Considering Bidirectional Interactions With Gas Systems by Sayed, Ahmed R., Wang, Cheng, Zhao, Junbo, Bi, Tianshu

    ISSN: 1949-3053, 1949-3061
    Published: Piscataway IEEE 01.05.2020
    Published in IEEE transactions on smart grid (01.05.2020)
    “…) has become more challenging. Most existing works on the EM problem of the PDN either neglect the interactions of the PDN with other energy systems or aggregate them as one…”
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    Journal Article