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The MILP Road to MIQCP

2011
This paper surveys results on the NP-hard mixed-integer quadratically constrained programming problem. The focus is strong convex relaxations and valid inequalities, which can become the basis of efficient global techniques. In particular, we discuss relaxations and inequalities arising from the algebraic description of the problem as well as from ...
Samuel Burer, Anureet Saxena
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Application of MIQCP based SVC allocation method to a complex real-world grid

2012 IEEE Power and Energy Society General Meeting, 2012
This paper demonstrates the applicability of a recently reported mixed integer quadratically constrained programming (MIQCP) placement algorithm on a large scale real-world power system, based on maximizing loadability. The MIQCP algorithm partially incorporates key quadratic constraints, which were absent in MILP placement methods reported in the past.
Robert Chang, T. K. Saha
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Implementable Three-Phase OPF Formulations for MV-LV Distribution Networks: MILP and MIQCP

2019 IEEE PES Innovative Smart Grid Technologies Conference - Latin America (ISGT Latin America), 2019
The increasing uptake of distributed energy resources (DER) poses significant operational challenges to Distribution Network Operators (DNOs). In this context, AC Optimal Power Flow (OPF)-based approaches have the potential to aid DNOs’ decision-making, to enable the operational orchestration of DER and network elements, improving performance while ...
Luis Gutierrez-Lagos   +2 more
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Monoidal strengthening and unique lifting in MIQCPs

Mathematical Programming
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonia Chmiela   +2 more
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Security evaluation for distribution power system using improved MIQCP based restoration strategy

ISGT 2014, 2014
Outage load caused by N−1 contingencies can be restored automatically or manually in distribution network. Therefore, the restored load can be considered as an index to represent the distribution network security level. In this paper, a security evaluation method is proposed, in which a MIQCP (Mixed Integer Quadratic Constrained Programming) based ...
null Kening Chen   +3 more
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A MIQCP formulation for B-spline constraints

Optimization Letters, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Semidefinite Approaches for MIQCP: Convex Relaxations and Practical Methods

2015
We survey several recent advances on applying semidefinite programming (SDP) techniques to globally solve mixed-integer quadratically constrained programs (MIQCPs), or to construct convex relaxations with better tightness/complexity ratios. It is well known that on many MIQCPs, convex relaxations using SDP techniques produce some of the strongest ...
Hongbo Dong, Nathan Krislock
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Spatial branch-and-bound algorithm for MIQCPs featuring multiparametric disaggregation

Optimization Methods and Software, 2016
Spatial branch-and-bound (B&B) is widely used for the global optimization of non-convex problems. It basically works by iteratively reducing the domain of the variables so that tighter relaxations can be achieved that ultimately converge to the global optimal solution.
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An MIQCP Reformulation for the Optimal Synthesis of Thermally Coupled Distillation Networks

Systems and Control Transactions
Superstructure based approaches have long been employed for optimal process synthesis problems. Due to the difficulties of using rigorous process models and simultaneous solutions, shortcut calculations have been the preferred means of modeling unit operations within larger process network problems.
Kevin Pfau   +4 more
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Spatial branch and bound algorithm for the global optimization of MIQCPs

2016
Abstract We propose a new global optimization algorithm for a class of non-convex mixed-integer nonlinear problems. It involves considering tight relaxations at every node of the spatial branch-and-bound tree by doing optimality based bound tightening upon branching and relying on normalized multiparametric disaggregation.
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