Results 1 to 10 of about 7,879 (171)
Consistent Second-Order Conic Integer Programming for Learning Bayesian Networks. [PDF]
J Mach Learn Res, 2023 Bayesian Networks (BNs) represent conditional probability relations among a set of random variables (nodes) in the form of a directed acyclic graph (DAG), and have found diverse applications in knowledge discovery. We study the problem of learning the sparse DAG structure of a BN from continuous observational data. The central problem can be modeled as
Küçükyavuz S +4 more
europepmc +4 more sources
On Minimal Valid Inequalities for Mixed Integer Conic Programs [PDF]
Mathematics of Operations Research, 2015 We study disjunctive conic sets involving a general regular (closed, convex, full dimensional, and pointed) cone K such as the nonnegative orthant, the Lorentz cone or the positive semidefinite cone.
Kılınç-Karzan, Fatma
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Configuration method of BESS in the wind farm and photovoltaic plant considering active and reactive power coordinated optimization. [PDF]
PLoS ONE, 2021 To promote the coordinated development between renewable energy and the distribution network, a capacity allocation model of battery energy storage systems (BESS) is proposed to achieve the coordinated optimization for active and reactive power flow ...
Li Zhang +5 more
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, 2017 We consider the constrained assortment optimization problem under the mixed multinomial logit model. Even moderately sized instances of this problem are challenging to solve directly using standard mixed-integer linear optimization formulations. This has
Atamturk, Alper +2 more
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Open Journal of Mathematical Optimization, 2022 We address the issue of computing a global minimizer of the AC Optimal Power Flow problem. We introduce valid inequalities to strengthen the Semidefinite Programming relaxation, yielding a novel Conic Programming relaxation.
Oustry, Antoine
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Theorems of the alternative for conic integer programming [PDF]
Operations Research Letters, 2020 Farkas' Lemma is a foundational result in linear programming, with implications in duality, optimality conditions, and stochastic and bilevel programming. Its generalizations are known as theorems of the alternative. There exist theorems of the alternative for integer programming and conic programming.
Ajayi, Temitayo +2 more
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Conic Optimal Energy Flow of Integrated Electricity and Natural Gas Systems
Journal of Modern Power Systems and Clean Energy, 2021 In this letter, we propose a market-based bi-level conic optimal energy flow (OEF) model of integrated electricity and natural gas systems (IENGSs). Conic alternating current optimal power flow (ACOPF) is formulated in the upper-level model, and the ...
Rufeng Zhang +5 more
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Multi-Location Assortment Optimization with Drone and Human Courier Joint Delivery
Applied Sciences, 2023 This paper studies the constrained multi-location assortment optimization problem under joint delivery by drone and human courier. To maximize the revenue of the retailer, product assortment and last-mile delivery methods are configured simultaneously ...
Mengting Wu, Zhi Pei
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Mathematics, 2022 This paper proposes a new solution methodology based on a mixed-integer conic formulation to locate and size photovoltaic (PV) generation units in AC distribution networks with a radial structure.
Oscar Danilo Montoya +2 more
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On Subadditive Duality for Conic Mixed-integer Programs [PDF]
SIAM Journal on Optimization, 2019 In this paper, we show that the subadditive dual of a feasible conic mixed-integer program (MIP) is a strong dual whenever it is feasible. Moreover, we show that this dual feasibility condition is equivalent to feasibility of the conic dual of the continuous relaxation of the conic MIP. In addition, we prove that all known conditions and other 'natural'
Burak Kocuk, Diego A. Morán R.
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