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On minimization of a quadratic function with one negative eigenvalue

Minarchenko I., Khamisov O. On minimization of a quadratic function with one negative eigenvalue // Optimization Letters. 2020. DOI: 10.1007/s11590-020-01653-5 It is well known that a quadratic programming minimization problem with one negative eigenvalue is NP-hard. However, in practice one may expect such problems being not so difficult to solve. We suggest to make a single partition of the feasible set in a concave variable only so that a convex approximation of the objective function upon every...

Теги: branch-and-bound method , global optimization , parallel computing , quadratic programming , np-hard , approximate solution , computational comparisons , convex approximation , minimization problems , nonconvex quadratic programs , objective functions , partition se
Раздел: ИСЭМ СО РАН
Piecewise linear bounding functions in univariate global optimization

Posypkin M., Usov A., Khamisov O. Piecewise linear bounding functions in univariate global optimization // Soft Computing. 2020. 17 p. DOI: 10.1007/s00500-020-05254-3 The paper addresses the problem of constructing lower and upper estimators for univariate functions. This problem is of crucial importance in global optimization, where ...

Теги: deterministic methods , estimators , piecewise linear functions , univariate global optimization , global optimization , algebraic expression , automated construction , bounding functions , first-order intervals , global optimization algorithm , objective functions
Раздел: ИСЭМ СО РАН
Piecewise linear bounding functions for univariate global optimization

Khamisov O., Posypkin M., Usov A. Piecewise linear bounding functions for univariate global optimization // Communications in Computer and Information Science. Vol.974. 2019. P.170-185. ISBN (print): 9783030109332. DOI: 10.1007/978-3-030-10934-9_13 The paper addresses the problem of constructing lower and upper bounding functions for ...

Теги: deterministic methods , estimators , piecewise linear functions , univariate global optimization , global optimization , automated synthesis , bounding functions , lower and upper bounds , piece-wise linear functions , univariate , univariate functions , piecewise l
Раздел: ИСЭМ СО РАН
Optimal Power Flow Calculation Using BFGS-Based Optimisation Scheme

Domyshev A., Sidorov D., Panasetsky D., Sun Y., Ju P., Wu F. Optimal Power Flow Calculation Using BFGS-Based Optimisation Scheme // 2nd IEEE Conference on Energy Internet and Energy System Integration, EI2 2018 - Proceedings. ID: 8582375. 2018. P.1-6. ISBN (print): 9781538685495. DOI: 10.1109/EI2.2018.8582375 The problem of optimal power flow is considered. The method of search of an optimal mode from the point of view of both minimised production and transmission costs is proposed. Proposed optimisation...

Теги: optimal power flow , optimisation , power system modeling , power system stability , renewable energy sources , acoustic generators , electric power transmission , global optimization , renewable energy resources , stochastic systems , system stability , optimal pow
Раздел: ИСЭМ СО РАН
Objective function decomposition in global optimization

Khamisov O.V. Objective function decomposition in global optimization // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.10556 LNCS. 2017. P.338-344. ISBN (print): 9783319694030. DOI: 10.1007/978-3-319-69404-7_28 ...

Теги: d.c. function , decomposition , global optimization , induced constraint , optimization , global optimization problems , objective functions
Раздел: ИСЭМ СО РАН


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