Basu, Amitabh; Jiang, Hongyi Two-halfspace closure. (English) Zbl 1514.90168 Math. Program. 197, No. 1 (A), 411-426 (2023). MSC: 90C11 90C57 90C60 PDFBibTeX XMLCite \textit{A. Basu} and \textit{H. Jiang}, Math. Program. 197, No. 1 (A), 411--426 (2023; Zbl 1514.90168) Full Text: DOI arXiv
Basu, Amitabh; Conforti, Michele; Di Summa, Marco; Jiang, Hongyi Complexity of branch-and-bound and cutting planes in mixed-integer optimization. (English) Zbl 1512.90144 Math. Program. 198, No. 1 (A), 787-810 (2023). MSC: 90C11 90C57 90C60 PDFBibTeX XMLCite \textit{A. Basu} et al., Math. Program. 198, No. 1 (A), 787--810 (2023; Zbl 1512.90144) Full Text: DOI arXiv
Basu, Amitabh; Martin, Kipp; Ryan, Christopher Thomas; Wang, Guanyi Mixed-integer linear representability, disjunctions, and Chvátal functions – modeling implications. (English) Zbl 1434.90101 Math. Oper. Res. 44, No. 4, 1264-1285 (2019). MSC: 90C11 90C09 90-10 PDFBibTeX XMLCite \textit{A. Basu} et al., Math. Oper. Res. 44, No. 4, 1264--1285 (2019; Zbl 1434.90101) Full Text: DOI arXiv
Basu, Amitabh; Conforti, Michele; Di Summa, Marco; Zambelli, Giacomo Optimal cutting planes from the group relaxations. (English) Zbl 1437.90106 Math. Oper. Res. 44, No. 4, 1208-1220 (2019). MSC: 90C10 90C11 90C57 90C05 PDFBibTeX XMLCite \textit{A. Basu} et al., Math. Oper. Res. 44, No. 4, 1208--1220 (2019; Zbl 1437.90106) Full Text: DOI arXiv Link
Basu, Amitabh; Sankaranarayanan, Sriram Can cut-generating functions be good and efficient? (English) Zbl 1411.90221 SIAM J. Optim. 29, No. 2, 1190-1210 (2019). MSC: 90C10 90C11 90C57 PDFBibTeX XMLCite \textit{A. Basu} and \textit{S. Sankaranarayanan}, SIAM J. Optim. 29, No. 2, 1190--1210 (2019; Zbl 1411.90221) Full Text: DOI arXiv
Basu, Amitabh; Hildebrand, Robert; Molinaro, Marco Minimal cut-generating functions are nearly extreme. (English) Zbl 1414.90230 Math. Program. 172, No. 1-2 (B), 329-349 (2018). MSC: 90C10 90C57 PDFBibTeX XMLCite \textit{A. Basu} et al., Math. Program. 172, No. 1--2 (B), 329--349 (2018; Zbl 1414.90230) Full Text: DOI arXiv
Basu, Amitabh; Hildebrand, Robert; Molinaro, Marco Minimal cut-generating functions are nearly extreme. (English) Zbl 1419.90117 Louveaux, Quentin (ed.) et al., Integer programming and combinatorial optimization. 18th international conference, IPCO 2016, Liège, Belgium, June 1–3, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9682, 202-213 (2016). MSC: 90C57 PDFBibTeX XMLCite \textit{A. Basu} et al., Lect. Notes Comput. Sci. 9682, 202--213 (2016; Zbl 1419.90117) Full Text: DOI arXiv
Basu, Amitabh; Hildebrand, Robert; Köppe, Matthias Light on the infinite group relaxation. II: Sufficient conditions for extremality, sequences, and algorithms. (English) Zbl 1362.90294 4OR 14, No. 2, 107-131 (2016). MSC: 90C10 PDFBibTeX XMLCite \textit{A. Basu} et al., 4OR 14, No. 2, 107--131 (2016; Zbl 1362.90294) Full Text: DOI arXiv
Basu, Amitabh; Hildebrand, Robert; Köppe, Matthias Light on the infinite group relaxation. I: Foundations and taxonomy. (English) Zbl 1353.90089 4OR 14, No. 1, 1-40 (2016). MSC: 90C10 PDFBibTeX XMLCite \textit{A. Basu} et al., 4OR 14, No. 1, 1--40 (2016; Zbl 1353.90089) Full Text: DOI arXiv
Basu, Amitabh; Molinaro, Marco Characterization of the split closure via geometric lifting. (English) Zbl 1346.90604 Eur. J. Oper. Res. 243, No. 3, 745-751 (2015). MSC: 90C10 90C57 PDFBibTeX XMLCite \textit{A. Basu} and \textit{M. Molinaro}, Eur. J. Oper. Res. 243, No. 3, 745--751 (2015; Zbl 1346.90604) Full Text: DOI arXiv
Basu, Amitabh; Paat, Joseph Operations that preserve the covering property of the lifting region. (English) Zbl 1327.90125 SIAM J. Optim. 25, No. 4, 2313-2333 (2015). MSC: 90C11 90C57 52C07 52C17 52B12 PDFBibTeX XMLCite \textit{A. Basu} and \textit{J. Paat}, SIAM J. Optim. 25, No. 4, 2313--2333 (2015; Zbl 1327.90125) Full Text: DOI arXiv
Basu, Amitabh; Conforti, Michele; Di Summa, Marco A geometric approach to cut-generating functions. (English) Zbl 1328.90085 Math. Program. 151, No. 1 (B), 153-189 (2015). MSC: 90C10 90C11 52C07 52C22 11H06 PDFBibTeX XMLCite \textit{A. Basu} et al., Math. Program. 151, No. 1 (B), 153--189 (2015; Zbl 1328.90085) Full Text: DOI arXiv
Basu, Amitabh; Hildebrand, Robert; Köppe, Matthias Equivariant perturbation in Gomory and Johnson’s infinite group problem. I: The one-dimensional case. (English) Zbl 1308.90106 Math. Oper. Res. 40, No. 1, 105-129 (2015). MSC: 90C10 90C57 90C34 PDFBibTeX XMLCite \textit{A. Basu} et al., Math. Oper. Res. 40, No. 1, 105--129 (2015; Zbl 1308.90106) Full Text: DOI arXiv
Basu, Amitabh; Hildebrand, Robert; Köppe, Matthias The triangle closure is a polyhedron. (English) Zbl 1355.90048 Math. Program. 145, No. 1-2 (A), 19-58 (2014). MSC: 90C10 90C11 PDFBibTeX XMLCite \textit{A. Basu} et al., Math. Program. 145, No. 1--2 (A), 19--58 (2014; Zbl 1355.90048) Full Text: DOI arXiv
Basu, Amitabh; Campêlo, Manoel; Conforti, Michele; Cornuéjols, Gérard; Zambelli, Giacomo Unique lifting of integer variables in minimal inequalities. (English) Zbl 1354.90077 Math. Program. 141, No. 1-2 (A), 561-576 (2013). MSC: 90C11 PDFBibTeX XMLCite \textit{A. Basu} et al., Math. Program. 141, No. 1--2 (A), 561--576 (2013; Zbl 1354.90077) Full Text: DOI arXiv
Basu, Amitabh; Cornuéjols, Gérard; Molinaro, Marco A probabilistic analysis of the strength of the split and triangle closures. (English) Zbl 1298.90055 Günlük, Oktay (ed.) et al., Integer programming and combinatoral optimization. 15th international conference, IPCO 2011, New York, NY, USA, June 15–17, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-20806-5/pbk). Lecture Notes in Computer Science 6655, 27-38 (2011). MSC: 90C10 90C57 PDFBibTeX XMLCite \textit{A. Basu} et al., Lect. Notes Comput. Sci. 6655, 27--38 (2011; Zbl 1298.90055) Full Text: DOI
Basu, Amitabh; Bonami, Pierre; Cornuéjols, Gérard; Margot, François On the relative strength of split, triangle and quadrilateral cuts. (English) Zbl 1206.90103 Math. Program. 126, No. 2 (A), 281-314 (2011). MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{A. Basu} et al., Math. Program. 126, No. 2 (A), 281--314 (2011; Zbl 1206.90103) Full Text: DOI arXiv