Bogosel, Beniamin Numerical shape optimization among convex sets. (English) Zbl 1501.49021 Appl. Math. Optim. 87, No. 1, Paper No. 1, 31 p. (2023). MSC: 49Q10 52A27 PDFBibTeX XMLCite \textit{B. Bogosel}, Appl. Math. Optim. 87, No. 1, Paper No. 1, 31 p. (2023; Zbl 1501.49021) Full Text: DOI arXiv
Bingane, Christian Tight bounds on the maximal perimeter and the maximal width of convex small polygons. (English) Zbl 1500.52001 J. Glob. Optim. 84, No. 4, 1033-1051 (2022). MSC: 52A10 52B55 90C26 PDFBibTeX XMLCite \textit{C. Bingane}, J. Glob. Optim. 84, No. 4, 1033--1051 (2022; Zbl 1500.52001) Full Text: DOI arXiv
Bingane, Christian; Audet, Charles The equilateral small octagon of maximal width. (English) Zbl 1496.52010 Math. Comput. 91, No. 336, 2027-2040 (2022). Reviewer: Pedro Martín Jiménez (Badajoz) MSC: 52A40 52A10 52B55 PDFBibTeX XMLCite \textit{C. Bingane} and \textit{C. Audet}, Math. Comput. 91, No. 336, 2027--2040 (2022; Zbl 1496.52010) Full Text: DOI arXiv
Stoyan, Y. G.; Chugay, A. M. Multistage approach to solving the optimization problem of packing nonconvex polyhedra. (English. Russian original) Zbl 1456.52022 Cybern. Syst. Anal. 56, No. 2, 259-268 (2020); translation from Kibern. Sist. Anal. 2020, No. 2, 108-118 (2020). Reviewer: Gabriela Cristescu (Arad) MSC: 52C15 65D17 90C30 PDFBibTeX XMLCite \textit{Y. G. Stoyan} and \textit{A. M. Chugay}, Cybern. Syst. Anal. 56, No. 2, 259--268 (2020; Zbl 1456.52022); translation from Kibern. Sist. Anal. 2020, No. 2, 108--118 (2020) Full Text: DOI
Romanova, T.; Pankratov, A.; Litvinchev, I.; Pankratova, Yu.; Urniaieva, I. Optimized packing clusters of objects in a rectangular container. (English) Zbl 1435.52011 Math. Probl. Eng. 2019, Article ID 4136430, 12 p. (2019). MSC: 52C17 90C27 52C15 PDFBibTeX XMLCite \textit{T. Romanova} et al., Math. Probl. Eng. 2019, Article ID 4136430, 12 p. (2019; Zbl 1435.52011) Full Text: DOI
Adams, Warren; Gupte, Akshay; Xu, Yibo Error bounds for monomial convexification in polynomial optimization. (English) Zbl 1412.90119 Math. Program. 175, No. 1-2 (A), 355-393 (2019). MSC: 90C26 65G99 52A27 PDFBibTeX XMLCite \textit{W. Adams} et al., Math. Program. 175, No. 1--2 (A), 355--393 (2019; Zbl 1412.90119) Full Text: DOI arXiv
Stoian, Y. E.; Chugay, A. M.; Pankratov, A. V.; Romanova, T. E. Two approaches to modeling and solving the packing problem for convex polytopes. (English. Russian original) Zbl 1421.52013 Cybern. Syst. Anal. 54, No. 4, 585-593 (2018); translation from Kibern. Sist. Anal. 2018, No. 4, 81-90 (2018). Reviewer: Lienhard Wimmer (Isny) MSC: 52B12 52B55 05B40 PDFBibTeX XMLCite \textit{Y. E. Stoian} et al., Cybern. Syst. Anal. 54, No. 4, 585--593 (2018; Zbl 1421.52013); translation from Kibern. Sist. Anal. 2018, No. 4, 81--90 (2018) Full Text: DOI
Lee, Jon; Skipper, Daphne; Speakman, Emily Algorithmic and modeling insights via volumetric comparison of polyhedral relaxations. (English) Zbl 1394.52011 Math. Program. 170, No. 1 (B), 121-140 (2018). MSC: 52B11 52B12 90C10 90C11 90C26 90C27 90C57 52A38 PDFBibTeX XMLCite \textit{J. Lee} et al., Math. Program. 170, No. 1 (B), 121--140 (2018; Zbl 1394.52011) Full Text: DOI
Romanova, T.; Bennell, J.; Stoyan, Y.; Pankratov, A. Packing of concave polyhedra with continuous rotations using nonlinear optimisation. (English) Zbl 1403.90586 Eur. J. Oper. Res. 268, No. 1, 37-53 (2018). MSC: 90C27 52C17 52B55 90C90 90C57 PDFBibTeX XMLCite \textit{T. Romanova} et al., Eur. J. Oper. Res. 268, No. 1, 37--53 (2018; Zbl 1403.90586) Full Text: DOI Link
Palachev, I. A. Consistency method for measurements of the support function of a convex body in the metric of \(L_\infty\). (English. Russian original) Zbl 1386.52002 Mosc. Univ. Math. Bull. 72, No. 4, 161-164 (2017); translation from Vestn. Mosk. Univ., Ser. I 72, No. 4, 27-31 (2017). MSC: 52A20 90C05 68U05 PDFBibTeX XMLCite \textit{I. A. Palachev}, Mosc. Univ. Math. Bull. 72, No. 4, 161--164 (2017; Zbl 1386.52002); translation from Vestn. Mosk. Univ., Ser. I 72, No. 4, 27--31 (2017) Full Text: DOI
Firsching, Moritz Realizability and inscribability for simplicial polytopes via nonlinear optimization. (English) Zbl 1379.52017 Math. Program. 166, No. 1-2 (A), 273-295 (2017). MSC: 52B40 52B11 52C40 90C30 PDFBibTeX XMLCite \textit{M. Firsching}, Math. Program. 166, No. 1--2 (A), 273--295 (2017; Zbl 1379.52017) Full Text: DOI arXiv
de Oliveira, Welington Regularized optimization methods for convex MINLP problems. (English) Zbl 1358.90086 Top 24, No. 3, 665-692 (2016). MSC: 90C11 52C15 52A39 90B50 PDFBibTeX XMLCite \textit{W. de Oliveira}, Top 24, No. 3, 665--692 (2016; Zbl 1358.90086) Full Text: DOI Link
Stoyan, Yu. G.; Scheithauer, Guntram; Yaskov, G. N. Packing unequal spheres into various containers. (English. Russian original) Zbl 1352.52027 Cybern. Syst. Anal. 52, No. 3, 419-426 (2016); translation from Kibern. Sist. Anal. 2016, No. 3, 97-105 (2016). MSC: 52C17 90C27 PDFBibTeX XMLCite \textit{Yu. G. Stoyan} et al., Cybern. Syst. Anal. 52, No. 3, 419--426 (2016; Zbl 1352.52027); translation from Kibern. Sist. Anal. 2016, No. 3, 97--105 (2016) Full Text: DOI
Stoyan, Y. G.; Semkin, V. V.; Chugay, A. M. Modeling close packing of 3D objects. (English. Russian original) Zbl 1348.52015 Cybern. Syst. Anal. 52, No. 2, 296-304 (2016); translation from Kibern. Sist. Anal. 2016, No. 2, 137-146 (2016). MSC: 52C17 90C27 65D18 PDFBibTeX XMLCite \textit{Y. G. Stoyan} et al., Cybern. Syst. Anal. 52, No. 2, 296--304 (2016; Zbl 1348.52015); translation from Kibern. Sist. Anal. 2016, No. 2, 137--146 (2016) Full Text: DOI
van Ackooij, W.; de Oliveira, W. Convexity and optimization with copulæ structured probabilistic constraints. (English) Zbl 1345.49042 Optimization 65, No. 7, 1349-1376 (2016). MSC: 49M37 93C41 49K45 90C15 65K05 52A30 PDFBibTeX XMLCite \textit{W. van Ackooij} and \textit{W. de Oliveira}, Optimization 65, No. 7, 1349--1376 (2016; Zbl 1345.49042) Full Text: DOI
Belyaev, Alexander Generation of interior points and polyhedral representations of cones in \(\mathbb R^N\) cut by \(M\) planes sharing a common point. (English) Zbl 1336.52028 Math. Methods Oper. Res. 83, No. 1, 71-85 (2016). MSC: 52C45 52C35 PDFBibTeX XMLCite \textit{A. Belyaev}, Math. Methods Oper. Res. 83, No. 1, 71--85 (2016; Zbl 1336.52028) Full Text: DOI
Stoyan, Yuriy; Romanova, Tatiana; Pankratov, Alexander; Chugay, Andrey Optimized object packings using quasi-phi-functions. (English) Zbl 1390.90483 Fasano, Giorgio (ed.) et al., Optimized packings with applications. Cham: Springer (ISBN 978-3-319-18898-0/hbk; 978-3-319-18899-7/ebook). Springer Optimization and Its Applications 105, 265-293 (2015). MSC: 90C27 90C59 52C17 90C11 90C57 PDFBibTeX XMLCite \textit{Y. Stoyan} et al., Springer Optim. Appl. 105, 265--293 (2015; Zbl 1390.90483) Full Text: DOI
Fügenschuh, Armin; Junosza-Szaniawski, Konstanty; Lonc, Zbigniew Exact and approximation algorithms for a soft rectangle packing problem. (English) Zbl 1306.90101 Optimization 63, No. 11, 1637-1663 (2014). MSC: 90C11 90C25 52C15 68W25 68W35 68W40 PDFBibTeX XMLCite \textit{A. Fügenschuh} et al., Optimization 63, No. 11, 1637--1663 (2014; Zbl 1306.90101) Full Text: DOI