Dash, Sanjeeb; Günlük, Oktay; Lee, Dabeen On a generalization of the Chvátal-Gomory closure. (English) Zbl 1489.90063 Math. Program. 192, No. 1-2 (B), 149-175 (2022). MSC: 90C10 90C11 90C27 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 192, No. 1--2 (B), 149--175 (2022; Zbl 1489.90063) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Lee, Dabeen Generalized Chvátal-Gomory closures for integer programs with bounds on variables. (English) Zbl 1478.90059 Math. Program. 190, No. 1-2 (A), 393-425 (2021). MSC: 90C10 90C11 90C27 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 190, No. 1--2 (A), 393--425 (2021; Zbl 1478.90059) Full Text: DOI
Günlük, Oktay; Kalagnanam, Jayant; Li, Minhan; Menickelly, Matt; Scheinberg, Katya Optimal decision trees for categorical data via integer programming. (English) Zbl 1475.90039 J. Glob. Optim. 81, No. 1, 233-260 (2021). MSC: 90C11 90C90 PDFBibTeX XMLCite \textit{O. Günlük} et al., J. Glob. Optim. 81, No. 1, 233--260 (2021; Zbl 1475.90039) Full Text: DOI arXiv
Dash, Sanjeeb; Günlük, Oktay; Morán R., Diego A. Lattice closures of polyhedra. (English) Zbl 1445.90063 Math. Program. 181, No. 1 (A), 119-147 (2020). MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 181, No. 1 (A), 119--147 (2020; Zbl 1445.90063) Full Text: DOI
Atamtürk, Alper; Günlük, Oktay A note on capacity models for network design. (English) Zbl 1525.90085 Oper. Res. Lett. 46, No. 4, 414-417 (2018). MSC: 90B10 90C35 90C11 PDFBibTeX XMLCite \textit{A. Atamtürk} and \textit{O. Günlük}, Oper. Res. Lett. 46, No. 4, 414--417 (2018; Zbl 1525.90085) Full Text: DOI arXiv Link
Dash, Sanjeeb; Günlük, Oktay; Hildebrand, Robert Binary extended formulations of polyhedral mixed-integer sets. (English) Zbl 1391.90425 Math. Program. 170, No. 1 (B), 207-236 (2018). MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 170, No. 1 (B), 207--236 (2018; Zbl 1391.90425) Full Text: DOI
Bodur, Merve; Dash, Sanjeeb; Günlük, Oktay A new lift-and-project operator. (English) Zbl 1394.90433 Eur. J. Oper. Res. 257, No. 2, 420-428 (2017). MSC: 90C11 90C27 90C60 PDFBibTeX XMLCite \textit{M. Bodur} et al., Eur. J. Oper. Res. 257, No. 2, 420--428 (2017; Zbl 1394.90433) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Morán R., Diego A. On the polyhedrality of closures of multibranch split sets and other polyhedra with bounded max-facet-width. (English) Zbl 1373.90081 SIAM J. Optim. 27, No. 3, 1340-1361 (2017). MSC: 90C11 PDFBibTeX XMLCite \textit{S. Dash} et al., SIAM J. Optim. 27, No. 3, 1340--1361 (2017; Zbl 1373.90081) Full Text: DOI
Bodur, Merve; Dash, Sanjeeb; Günlük, Oktay Cutting planes from extended LP formulations. (English) Zbl 1356.90089 Math. Program. 161, No. 1-2 (A), 159-192 (2017). Reviewer: Hans Benker (Merseburg) MSC: 90C11 PDFBibTeX XMLCite \textit{M. Bodur} et al., Math. Program. 161, No. 1--2 (A), 159--192 (2017; Zbl 1356.90089) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Morán R., Diego A. On the polyhedrality of cross and quadrilateral closures. (English) Zbl 1366.90142 Math. Program. 160, No. 1-2 (A), 245-270 (2016). MSC: 90C11 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 160, No. 1--2 (A), 245--270 (2016; Zbl 1366.90142) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Wolsey, Laurence A. The continuous knapsack set. (English) Zbl 1338.90273 Math. Program. 155, No. 1-2 (A), 471-496 (2016). Reviewer: Eleonor Ciurea (Braşov) MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 155, No. 1--2 (A), 471--496 (2016; Zbl 1338.90273) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Molinaro, Marco On the relative strength of different generalizations of split cuts. (English) Zbl 1387.90155 Discrete Optim. 16, 36-50 (2015). MSC: 90C11 90C57 90C27 PDFBibTeX XMLCite \textit{S. Dash} et al., Discrete Optim. 16, 36--50 (2015; Zbl 1387.90155) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Vielma, Juan Pablo Computational experiments with cross and crooked cross cuts. (English) Zbl 1304.90225 INFORMS J. Comput. 26, No. 4, 780-797 (2014). MSC: 90C90 90C11 PDFBibTeX XMLCite \textit{S. Dash} et al., INFORMS J. Comput. 26, No. 4, 780--797 (2014; Zbl 1304.90225) Full Text: DOI Link
Dash, Sanjeeb; Dobbs, Neil B.; Günlük, Oktay; Nowicki, Tomasz J.; Świrszcz, Grzegorz M. Lattice-free sets, multi-branch split disjunctions, and mixed-integer programming. (English) Zbl 1312.90045 Math. Program. 145, No. 1-2 (A), 483-508 (2014). Reviewer: Matthias Ehrgott (Lancaster) MSC: 90C11 90C60 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 145, No. 1--2 (A), 483--508 (2014; Zbl 1312.90045) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay On \(t\)-branch split cuts for mixed-integer programs. (English) Zbl 1280.90089 Math. Program. 141, No. 1-2 (A), 591-599 (2013). MSC: 90C11 90C60 PDFBibTeX XMLCite \textit{S. Dash} and \textit{O. Günlük}, Math. Program. 141, No. 1--2 (A), 591--599 (2013; Zbl 1280.90089) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Morán Ramirez, Diego Alejandro On some generalizations of the split closure. (English) Zbl 1372.90072 Goemans, Michel (ed.) et al., Integer programming and combinatorial optimization. 16th international conference, IPCO 2013, Valparaíso, Chile, March 18–20, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-36693-2/pbk). Lecture Notes in Computer Science 7801, 145-156 (2013). MSC: 90C11 90C57 52B12 PDFBibTeX XMLCite \textit{S. Dash} et al., Lect. Notes Comput. Sci. 7801, 145--156 (2013; Zbl 1372.90072) Full Text: DOI
Dash, Sanjeeb; Dey, Santanu S.; Günlük, Oktay Two dimensional lattice-free cuts and asymmetric disjunctions for mixed-integer polyhedra. (English) Zbl 1269.90068 Math. Program. 135, No. 1-2 (A), 221-254 (2012). MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 135, No. 1--2 (A), 221--254 (2012; Zbl 1269.90068) Full Text: DOI
Günlük, Oktay; Linderoth, Jeff Perspective reformulation and applications. (English) Zbl 1242.90134 Lee, Jon (ed.) et al., Mixed integer nonlinear programming. Selected papers based on the presentations at the IMA workshop mixed-integer nonlinear optimization: Algorithmic advances and applications, Minneapolis, MN, USA, November 17–21, 2008. New York, NY: Springer (ISBN 978-1-4614-1926-6/hbk; 978-1-4614-1927-3/ebook). The IMA Volumes in Mathematics and its Applications 154, 61-89 (2012). MSC: 90C11 90C30 90C25 PDFBibTeX XMLCite \textit{O. Günlük} and \textit{J. Linderoth}, IMA Vol. Math. Appl. 154, 61--89 (2012; Zbl 1242.90134) Full Text: DOI
Dash, Sanjeeb; Fukasawa, Ricardo; Günlük, Oktay The master equality polyhedron with multiple rows. (English) Zbl 1243.90145 Math. Program. 132, No. 1-2 (A), 125-151 (2012). Reviewer: Efstratios Rappos (Aubonne) MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 132, No. 1--2 (A), 125--151 (2012; Zbl 1243.90145) Full Text: DOI
Fukasawa, Ricardo; Günlük, Oktay Strengthening lattice-free cuts using non-negativity. (English) Zbl 1245.90069 Discrete Optim. 8, No. 2, 229-245 (2011). MSC: 90C11 PDFBibTeX XMLCite \textit{R. Fukasawa} and \textit{O. Günlük}, Discrete Optim. 8, No. 2, 229--245 (2011; Zbl 1245.90069) Full Text: DOI
Dash, Sanjeeb; Dey, Santanu S.; Günlük, Oktay On mixed-integer sets with two integer variables. (English) Zbl 1252.90053 Oper. Res. Lett. 39, No. 5, 305-309 (2011). MSC: 90C11 PDFBibTeX XMLCite \textit{S. Dash} et al., Oper. Res. Lett. 39, No. 5, 305--309 (2011; Zbl 1252.90053) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Raack, Christian A note on the MIR closure and basic relaxations of polyhedra. (English) Zbl 1220.90071 Oper. Res. Lett. 39, No. 3, 198-199 (2011). MSC: 90C11 PDFBibTeX XMLCite \textit{S. Dash} et al., Oper. Res. Lett. 39, No. 3, 198--199 (2011; Zbl 1220.90071) Full Text: DOI
Dash, Sanjeeb; Goycoolea, Marcos; Günlük, Oktay Two-step MIR inequalities for mixed integer programs. (English) Zbl 1243.90146 INFORMS J. Comput. 22, No. 2, 236-249 (2010). MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., INFORMS J. Comput. 22, No. 2, 236--249 (2010; Zbl 1243.90146) Full Text: DOI
Dash, Sanjeeb; Fukasawa, Ricardo; Günlük, Oktay On a generalization of the master cyclic group polyhedron. (English) Zbl 1214.90125 Math. Program. 125, No. 1 (A), 1-30 (2010). Reviewer: Hartmut Noltemeier (Würzburg) MSC: 90C57 90C10 90C11 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 125, No. 1 (A), 1--30 (2010; Zbl 1214.90125) Full Text: DOI
Günlük, Oktay; Linderoth, Jeff Perspective reformulations of mixed integer nonlinear programs with indicator variables. (English) Zbl 1229.90106 Math. Program. 124, No. 1-2 (B), 183-205 (2010). Reviewer: Petrica Pop (Baia Mare) MSC: 90C11 90C30 90C90 PDFBibTeX XMLCite \textit{O. Günlük} and \textit{J. Linderoth}, Math. Program. 124, No. 1--2 (B), 183--205 (2010; Zbl 1229.90106) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Lodi, Andrea Erratum to: MIR closures of polyhedral sets. (English) Zbl 1191.90029 Math. Program. 123, No. 2 (A), 485-486 (2010). MSC: 90C10 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 123, No. 2 (A), 485--486 (2010; Zbl 1191.90029) Full Text: DOI
Atamtürk, Alper; Günlük, Oktay Mingling: mixed-integer rounding with bounds. (English) Zbl 1190.90104 Math. Program. 123, No. 2 (A), 315-338 (2010). Reviewer: Rainer E. Burkard (Graz) MSC: 90C11 PDFBibTeX XMLCite \textit{A. Atamtürk} and \textit{O. Günlük}, Math. Program. 123, No. 2 (A), 315--338 (2010; Zbl 1190.90104) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Lodi, Andrea MIR closures of polyhedral sets. (English) Zbl 1184.90107 Math. Program. 121, No. 1 (A), 33-60 (2010); erratum ibid. 123, No. 2 (A), 485-486 (2010). MSC: 90C10 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Math. Program. 121, No. 1 (A), 33--60 (2010; Zbl 1184.90107) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay On mixing inequalities: rank, closure, and cutting-plane proofs. (English) Zbl 1198.90300 SIAM J. Optim. 20, No. 2, 1090-1109 (2009). Reviewer: Efstratios Rappos (Athens) MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} and \textit{O. Günlük}, SIAM J. Optim. 20, No. 2, 1090--1109 (2009; Zbl 1198.90300) Full Text: DOI Link
Dash, Sanjeeb; Günlük, Oktay On the strength of Gomory mixed-integer cuts as group cuts. (English) Zbl 1209.90277 Math. Program. 115, No. 2 (A), 387-407 (2008). MSC: 90C11 90C05 PDFBibTeX XMLCite \textit{S. Dash} and \textit{O. Günlük}, Math. Program. 115, No. 2 (A), 387--407 (2008; Zbl 1209.90277) Full Text: DOI
Günlük, Oktay; Linderoth, Jeff Perspective relaxation of mixed integer nonlinear programs with indicator variables. (English) Zbl 1143.90364 Lodi, Andrea (ed.) et al., Integer programming and combinatorial optimization. 13th international conference, IPCO 2008 Bertinoro, Italy, May 26–28, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-68886-0/pbk). Lecture Notes in Computer Science 5035, 1-16 (2008). MSC: 90C11 90C30 PDFBibTeX XMLCite \textit{O. Günlük} and \textit{J. Linderoth}, Lect. Notes Comput. Sci. 5035, 1--16 (2008; Zbl 1143.90364) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay; Lodi, Andrea On the MIR closure of polyhedra. (English) Zbl 1136.90417 Fischetti, Matteo (ed.) et al., Integer programming and combinatorial optimization. 12th international IPCO conference, Ithaca, NY, USA, June 25–27, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-72791-0/pbk). Lecture Notes in Computer Science 4513, 337-351 (2007). MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Lect. Notes Comput. Sci. 4513, 337--351 (2007; Zbl 1136.90417) Full Text: DOI
Dash, Sanjeeb; Fukasawa, Ricardo; Günlük, Oktay On a generalization of the master cyclic group polyhedron. (English) Zbl 1136.90404 Fischetti, Matteo (ed.) et al., Integer programming and combinatorial optimization. 12th international IPCO conference, Ithaca, NY, USA, June 25–27, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-72791-0/pbk). Lecture Notes in Computer Science 4513, 197-209 (2007). MSC: 90C10 90C11 90C57 PDFBibTeX XMLCite \textit{S. Dash} et al., Lect. Notes Comput. Sci. 4513, 197--209 (2007; Zbl 1136.90404) Full Text: DOI
Atamtürk, Alper; Günlük, Oktay Network design arc set with variable upper bounds. (English) Zbl 1122.90053 Networks 50, No. 1, 17-28 (2007). Reviewer: Hartmut Noltemeier (Würzburg) MSC: 90C11 90C35 90C57 90B15 PDFBibTeX XMLCite \textit{A. Atamtürk} and \textit{O. Günlük}, Networks 50, No. 1, 17--28 (2007; Zbl 1122.90053) Full Text: DOI
Dash, Sanjeeb; Günlük, Oktay Valid inequalities based on simple mixed-integer sets. (English) Zbl 1085.90034 Math. Program. 105, No. 1 (A), 29-53 (2006). MSC: 90C11 PDFBibTeX XMLCite \textit{S. Dash} and \textit{O. Günlük}, Math. Program. 105, No. 1 (A), 29--53 (2006; Zbl 1085.90034) Full Text: DOI
Günlük, Oktay; Pochet, Yves Mixing mixed-integer inequalities. (English) Zbl 1041.90033 Math. Program. 90, No. 3 (A), 429-457 (2001). Reviewer: Joachim Piehler (Merseburg) MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{O. Günlük} and \textit{Y. Pochet}, Math. Program. 90, No. 3 (A), 429--457 (2001; Zbl 1041.90033) Full Text: DOI
Günlük, Oktay A branch-and-cut algorithm for capacitated network design problems. (English) Zbl 1015.90090 Math. Program. 86, No. 1 (A), 17-39 (1999). MSC: 90C57 90C11 90B10 90C35 PDFBibTeX XMLCite \textit{O. Günlük}, Math. Program. 86, No. 1 (A), 17--39 (1999; Zbl 1015.90090) Full Text: DOI
Bienstock, Daniel; Günlük, Oktay Capacitated network design – polyhedral structure and computation. (English) Zbl 0871.90031 INFORMS J. Comput. 8, No. 3, 243-259 (1996). MSC: 90B18 90C11 52B12 PDFBibTeX XMLCite \textit{D. Bienstock} and \textit{O. Günlük}, INFORMS J. Comput. 8, No. 3, 243--259 (1996; Zbl 0871.90031) Full Text: DOI
Bienstock, D.; Günlük, O. Computational experience with a difficult mixed-integer multicommodity flow problem. (English) Zbl 0834.90054 Math. Program. 68, No. 2 (A), 213-237 (1995). MSC: 90B10 90C11 PDFBibTeX XMLCite \textit{D. Bienstock} and \textit{O. Günlük}, Math. Program. 68, No. 2 (A), 213--237 (1995; Zbl 0834.90054)