Results 91 to 100 of about 7,641,552 (201)
A class of nonconvex semidefinite programming in which every KKT point is globally optimal
We consider a special class of nonconvex semidefinite programming problems and show that every point satisfying the Karush--Kuhn--Tucker (KKT) conditions is globally optimal despite nonconvexity. This property is related to pseudoconvex optimization and fractional programming.
Nishioka, Akatsuki, Kanno, Yoshihiro
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Impact of endogenous learning curves on maritime transition pathways
The maritime industry is a crucial hard-to-abate sector that is expected to depend on high-energy density renewable liquid fuels in the future. Traditionally, decarbonization pathways have been assessed assuming exogenous cost trajectories for renewable ...
Sebastian Franz, Rasmus Bramstoft
doaj +1 more source
Nonconvex quadratically constrained programs (QCPs) with bilinear terms frequently arise in the optimization of chemical process systems such as water-using networks (WUNs). While global optimization approaches based on spatial branch-and-bound and mixed-integer linear programming relaxations have achieved significant advances, they remain ...
Diogo Rodrigues, Pedro M. Castro
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Combinatorial and global optimization
"Combinatorial and global optimization problems appear in a wide range of applications in operations research, engineering, biological science, and computer science. In combinatorial optimization and graph theory, many approaches have been developed that
Migdalas, Athanasios. +5 more
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Peeling off a nonconvex cover of an actual convex problem: Hidden convexity
Convexity is, without a doubt, one of the most desirable features in optimization. Many optimization problems that are nonconvex in their original settings may become convex after performing certain equivalent transformations.
Wu, Zhiyou +3 more
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Why Methods for Optimization Problems with Time-Consuming Function Evaluations and Integer Variables Should Use Global Approximation Models [PDF]
This paper advocates the use of methods based on global approximation models for optimization problems with time-consuming function evaluations and integer variables.We show that methods based on local approximations may lead to the integer rounding of ...
Brekelmans, R.C.M. +4 more
core
Global optimality conditions and optimization methods for quadratic integer programming problems
Global optimality conditions, Quadratic integer programming problem, Optimization method, Auxiliary function, 41A65, 41A29, 90C30,
Wu, Zhiyou +7 more
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Written by some of the leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines.
Sherali, Hanif D, Gao, David Yang
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Optimization of stochastic switching buffer network via DC programming
This letter deals with the optimization problems of stochastic switching buffer networks, where the switching law is governed by Markov process. The dynamical buffer network is introduced, and its application in modeling the car-sharing network is also ...
Zhao, Chengyan +2 more
core
Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems
International audienceIn this paper, we consider a bilevel polynomial optimization problem where the objective and the constraint functions of both the upper-and the lower-level problems are polynomi-als.
Li, G ; https://orcid.org/ +8 more
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