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Symmetry Detection in Mixed-Integer Conic Programming
Mathematical Programming ComputationSven Wiese
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Mixed Integer Conic Programming for Multi-Agent Motion Planning in Continuous Space
2025 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS)Multi-Agent Motion Planning (MAMP) seeks collision-free trajectories for multiple agents from their respective start to goal locations among static obstacles, while minimizing a cost function over the trajectories.
Shi-Zhe Zhao +3 more
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2014 IEEE PES General Meeting | Conference & Exposition, 2014
This paper presents a model to maximize the renewable energy penetration level in reconfigurable radial distribution system when renewable generation and load profile are hardly matched. By means of variable substitution and relaxation method, the original mixed-integer nonlinear programming model can be transformed into a mixed-integer conic ...
Qiaozhu Zhai, Jiang Wu, Xiaohong Guan
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This paper presents a model to maximize the renewable energy penetration level in reconfigurable radial distribution system when renewable generation and load profile are hardly matched. By means of variable substitution and relaxation method, the original mixed-integer nonlinear programming model can be transformed into a mixed-integer conic ...
Qiaozhu Zhai, Jiang Wu, Xiaohong Guan
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Mixed-integer second order conic programming formulation for joint lot-sizing and pricing problem
2019 International Conference on Industrial Engineering and Systems Management (IESM), 2019Lot-sizing and pricing problems have been addressed quite extensively. Most literature study the problems and develop models from the perspective of operations management.
Ming Liu, Rong-Fang Liu
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A Strong Dual for Conic Mixed-Integer Programs [PDF]
SIAM Journal on Optimization, 2012 Mixed-integer conic programming is a generalization of mixed-integer linear programming. In this paper, we present an extension of the duality theory for mixed-integer linear programming (see [M. Guzelsoy and T. K. Ralphs, Int. J. Oper. Res. (Taichung), 4 (2007), pp. 118--137], [G. L. Nemhauser and L. A.
Santanu S. Dey
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Cuts for Conic Mixed-Integer Programming
Conference on Integer Programming and Combinatorial Optimization, 2007A conic integer program is an integer programming problem with conic constraints. Conic integer programming has important applications in finance, engineering, statistical learning, and probabilistic integer programming. Here we study mixed-integer sets defined by second-order conic constraints.
Alper Atamtürk, Vishnu Narayanan
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On Minimal Valid Inequalities for Mixed Integer Conic Programs [PDF]
Mathematics of Operations Research, 2016 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. In a unified framework, we introduce 𝒦-minimal inequalities and show that, under mild assumptions, these inequalities together with the trivial cone ...
Fatma Kılınç-Karzan
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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 Koçuk
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A Lifted Linear Programming Branch-and-Bound Algorithm for Mixed-Integer Conic Quadratic Programs [PDF]
INFORMS Journal on Computing, 2008 This paper develops a linear-programming-based branch-and-bound algorithm for mixed-integer conic quadratic programs. The algorithm is based on a known higher-dimensional or lifted polyhedral relaxation of conic quadratic constraints. The algorithm is different from other linear-programming-based branch-and-bound algorithms for mixed-integer nonlinear
Juan Pablo Vielma, George Nemhauser
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Joint Discrete Rate Adaptation and Downlink Beamforming Using Mixed Integer Conic Programming
IEEE Transactions on Signal Processing, 2015Multiuser downlink beamforming for sum-rate maximization has been intensively studied in the literature assuming that the achievable data rates of the mobile stations (MSs) are continuous and strictly increasing functions of the received signal-to-interference-plus-noise ratios (SINRs).
Yong Cheng, M. Pesavento
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