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Volumn 144, Issue 1-2, 2014, Pages 315-346

Undercover: A primal MINLP heuristic exploring a largest sub-MIP

Author keywords

Large neighborhood search; Mixed integer nonlinear programming; Mixed integer quadratically constrained programming; Nonconvex optimization; Primal heuristic

Indexed keywords

COMPUTER PROGRAMMING; NONLINEAR PROGRAMMING;

EID: 84897111182     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-013-0635-2     Document Type: Article
Times cited : (25)

References (47)
  • 1
    • 33846579207 scopus 로고    scopus 로고
    • Conflict analysis in mixed integer programming
    • 10.1016/j.disopt.2006.10.006 10.1016/j.disopt.2006.10.006 1169.90414 2292482
    • Achterberg, T.: Conflict analysis in mixed integer programming. Discret. Optim. 4(1), 4-20 (2007). doi: 10.1016/j.disopt.2006.10.006
    • (2007) Discret. Optim. , vol.4 , Issue.1 , pp. 4-20
    • Achterberg, T.1
  • 2
    • 62249219958 scopus 로고    scopus 로고
    • Ph.D. Thesis, Technische Universität Berlin
    • Achterberg, T.: Constraint Integer Programming. Ph.D. Thesis, Technische Universität Berlin (2007). http://vs24.kobv.de/opus4-zib/frontdoor/index/ index/docId/1018
    • (2007) Constraint Integer Programming
    • Achterberg, T.1
  • 3
    • 76749148362 scopus 로고    scopus 로고
    • SCIP: Solving constraint integer programs
    • doi: 10.1007/s12532-008-0001-1
    • Achterberg, T.: SCIP: Solving constraint integer programs. Math. Program. Comput. 1(1), 1-41 (2009). doi: 10.1007/s12532-008-0001-1
    • (2009) Math. Program. Comput. , vol.1 , Issue.1 , pp. 1-41
    • Achterberg, T.1
  • 4
    • 33846624302 scopus 로고    scopus 로고
    • Improving the feasibility pump
    • 10.1016/j.disopt.2006.10.004 10.1016/j.disopt.2006.10.004 1170.90443 2292486
    • Achterberg, T., Berthold, T.: Improving the feasibility pump. Discret. Optim. 4(1), 77-86 (2007). doi: 10.1016/j.disopt.2006.10.004
    • (2007) Discret. Optim. , vol.4 , Issue.1 , pp. 77-86
    • Achterberg, T.1    Berthold, T.2
  • 5
    • 68949107324 scopus 로고    scopus 로고
    • Branching and bounds tightening techniques for non-convex MINLP
    • doi: 10.1080/10556780903087124
    • Belotti, P., Lee, J., Liberti, L., Margot, F., Wächter, A.: Branching and bounds tightening techniques for non-convex MINLP. Optim. Methods Softw. 24, 597-634 (2009). doi: 10.1080/10556780903087124
    • (2009) Optim. Methods Softw. , vol.24 , pp. 597-634
    • Belotti, P.1    Lee, J.2    Liberti, L.3    Margot, F.4    Wächter, A.5
  • 6
    • 79951771589 scopus 로고    scopus 로고
    • Diploma thesis, Technische Universität Berlin
    • Berthold, T.: Primal Heuristics for Mixed Integer Programs. Diploma thesis, Technische Universität Berlin (2006). http://vs24.kobv.de/opus4- zib/frontdoor/index/index/docId/1029
    • (2006) Primal Heuristics for Mixed Integer Programs
    • Berthold, T.1
  • 7
    • 84875946227 scopus 로고    scopus 로고
    • ZIB-Report 12-17, Zuse Institute Berlin
    • Berthold, T.: RENS-the Optimal Rounding. ZIB-Report 12-17, Zuse Institute Berlin (2012). http://vs24.kobv.de/opus4-zib/frontdoor/index/index/docId/1520
    • (2012) RENS-The Optimal Rounding
    • Berthold, T.1
  • 12
    • 62249161495 scopus 로고    scopus 로고
    • A feasibility pump for mixed integer nonlinear programs
    • 10.1007/s10107-008-0212-2 10.1007/s10107-008-0212-2 1163.90013 2487008
    • Bonami, P., Cornuéjols, G., Lodi, A., Margot, F.: A feasibility pump for mixed integer nonlinear programs. Math. Program. 119(2), 331-352 (2009). doi: 10.1007/s10107-008-0212-2
    • (2009) Math. Program. , vol.119 , Issue.2 , pp. 331-352
    • Bonami, P.1    Cornuéjols, G.2    Lodi, A.3    Margot, F.4
  • 13
    • 84862002951 scopus 로고    scopus 로고
    • Heuristics for convex mixed integer nonlinear programs
    • 10.1007/s10589-010-9350-6 10.1007/s10589-010-9350-6 1241.90189 2891914
    • Bonami, P., Gonçalves, J.: Heuristics for convex mixed integer nonlinear programs. Comput. Optim. Appl. 51, 729-747 (2012). doi: 10.1007/s10589-010-9350-6
    • (2012) Comput. Optim. Appl. , vol.51 , pp. 729-747
    • Bonami, P.1    Gonçalves, J.2
  • 14
    • 3843076327 scopus 로고    scopus 로고
    • MINLPLib - A collection of test models for mixed-integer nonlinear programming
    • 10.1287/ijoc.15.1.114.15159 10.1287/ijoc.15.1.114.15159 1238.90104 1965346
    • Bussieck, M., Drud, A., Meeraus, A.: MINLPLib - A collection of test models for mixed-integer nonlinear programming. INFORMS J. Comput. 15(1), 114-119 (2003). doi: 10.1287/ijoc.15.1.114.15159
    • (2003) INFORMS J. Comput. , vol.15 , Issue.1 , pp. 114-119
    • Bussieck, M.1    Drud, A.2    Meeraus, A.3
  • 15
    • 84859996888 scopus 로고    scopus 로고
    • MINLP solver software
    • Cochran, J.J., Cox, L.A., Keskinocak, P., Kharoufeh, J.P., Smith, J.C. (eds.). Wiley, London publication. doi: 10.1002/9780470400531.eorms0527
    • Bussieck, M.R., Vigerske, S.: MINLP solver software. In: Cochran, J.J., Cox, L.A., Keskinocak, P., Kharoufeh, J.P., Smith, J.C. (eds.) Wiley Encyclopedia of Operations Research and Management Science. Wiley, London (2010). Online publication. doi: 10.1002/9780470400531.eorms0527
    • (2010) Wiley Encyclopedia of Operations Research and Management Science
    • Bussieck, M.R.1    Vigerske, S.2
  • 16
    • 78149276660 scopus 로고    scopus 로고
    • Experiments with a feasibility pump approach for nonconvex MINLPs
    • Festa, P. (ed.). Springer, Berlin. doi: 10.1007/978-3-642-13193-6-30
    • D'Ambrosio, C., Frangioni, A., Liberti, L., Lodi, A.: Experiments with a feasibility pump approach for nonconvex MINLPs. In: Festa, P. (ed.) Experimental Algorithms, Lecture Notes in Computer Science, vol. 6049, pp. 350-360. Springer, Berlin (2010). doi: 10.1007/978-3-642-13193-6-30
    • (2010) Experimental Algorithms, Lecture Notes in Computer Science , vol.6049 , pp. 350-360
    • D'Ambrosio, C.1    Frangioni, A.2    Liberti, L.3    Lodi, A.4
  • 17
    • 12344255882 scopus 로고    scopus 로고
    • Exploring relaxation induced neighborhoods to improve MIP solutions
    • 10.1007/s10107-004-0518-7 10.1007/s10107-004-0518-7
    • Danna, E., Rothberg, E., Pape, C.L.: Exploring relaxation induced neighborhoods to improve MIP solutions. Math. Program. 102(1), 71-90 (2004). doi: 10.1007/s10107-004-0518-7
    • (2004) Math. Program. , vol.102 , Issue.1 , pp. 71-90
    • Danna, E.1    Rothberg, E.2    Pape, C.L.3
  • 18
    • 29844440416 scopus 로고    scopus 로고
    • On the hardness of approximating vertex cover
    • 10.4007/annals.2005.162.439 10.4007/annals.2005.162.439 1084.68051 2178966
    • Dinur, I., Safra, S.: On the hardness of approximating vertex cover. Ann. Math. 162, 439-485 (2005). doi: 10.4007/annals.2005.162.439
    • (2005) Ann. Math. , vol.162 , pp. 439-485
    • Dinur, I.1    Safra, S.2
  • 19
    • 24044549331 scopus 로고    scopus 로고
    • The feasibility pump
    • 10.1007/s10107-004-0570-3 10.1007/s10107-004-0570-3 1077.90039 2167427
    • Fischetti, M., Glover, F., Lodi, A.: The feasibility pump. Math. Program. 104(1), 91-104 (2005). doi: 10.1007/s10107-004-0570-3
    • (2005) Math. Program. , vol.104 , Issue.1 , pp. 91-104
    • Fischetti, M.1    Glover, F.2    Lodi, A.3
  • 20
    • 3042564211 scopus 로고    scopus 로고
    • Local branching
    • 10.1007/s10107-003-0395-5 10.1007/s10107-003-0395-5 1060.90056 2019366
    • Fischetti, M., Lodi, A.: Local branching. Math. Program. 98(1-3), 23-47 (2003). doi: 10.1007/s10107-003-0395-5
    • (2003) Math. Program. , vol.98 , Issue.1-3 , pp. 23-47
    • Fischetti, M.1    Lodi, A.2
  • 21
    • 80052570312 scopus 로고    scopus 로고
    • Feasibility pump 2.0
    • doi: 10.1007/s12532-009-0007-3
    • Fischetti, M., Salvagnin, D.: Feasibility Pump 2.0. Math. Program. Comput. 1(2-3), 201-222 (2009). doi: 10.1007/s12532-009-0007-3
    • (2009) Math. Program. Comput. , vol.1 , Issue.2-3 , pp. 201-222
    • Fischetti, M.1    Salvagnin, D.2
  • 25
    • 0036588838 scopus 로고    scopus 로고
    • Improved approximation algorithms for the vertex cover problem in graphs and hypergraphs
    • 10.1137/S0097539700381097 10.1137/S0097539700381097 1041.68130 1936662
    • Halperin, E.: Improved approximation algorithms for the vertex cover problem in graphs and hypergraphs. SIAM J. Comput. 31, 1608-1623 (2002). doi: 10.1137/S0097539700381097
    • (2002) SIAM J. Comput. , vol.31 , pp. 1608-1623
    • Halperin, E.1
  • 26
    • 0942276872 scopus 로고
    • Reduction of indefinite quadratic programs to bilinear programs
    • 10.1007/BF00121301 10.1007/BF00121301 0786.90050 1266895
    • Hansen, P., Jaumard, B.: Reduction of indefinite quadratic programs to bilinear programs. J. Glob. Optim. 2(1), 41-60 (1992). doi: 10.1007/BF00121301
    • (1992) J. Glob. Optim. , vol.2 , Issue.1 , pp. 41-60
    • Hansen, P.1    Jaumard, B.2
  • 27
    • 76649088030 scopus 로고    scopus 로고
    • A better approximation ratio for the vertex cover problem
    • doi: 10.1145/1597036.1597045
    • Karakostas, G.: A better approximation ratio for the vertex cover problem. ACM Trans. Algorithms, 5, 41:1-41:8 (2009). doi: 10.1145/1597036. 1597045
    • (2009) ACM Trans. Algorithms , vol.5 , pp. 411-418
    • Karakostas, G.1
  • 28
    • 38149105774 scopus 로고    scopus 로고
    • Vertex cover might be hard to approximate to within 2-e
    • 10.1016/j.jcss.2007.06.019 10.1016/j.jcss.2007.06.019 1133.68061 2384079
    • Khot, S., Regev, O.: Vertex cover might be hard to approximate to within 2-e. J. Comput. Syst. Sci. 74(3), 335-349 (2008). doi: 10.1016/j.jcss.2007.06. 019
    • (2008) J. Comput. Syst. Sci. , vol.74 , Issue.3 , pp. 335-349
    • Khot, S.1    Regev, O.2
  • 29
    • 0040226707 scopus 로고
    • A cutting plane algorithm for solving bilinear programs
    • 10.1007/BF01580367 10.1007/BF01580367 0353.90069 441328
    • Konno, H.: A cutting plane algorithm for solving bilinear programs. Math. Program. 11, 14-27 (1976). doi: 10.1007/BF01580367
    • (1976) Math. Program. , vol.11 , pp. 14-27
    • Konno, H.1
  • 30
    • 0001173632 scopus 로고
    • An automatic method of solving discrete programming problems
    • Land, A.H., Doig, A.G.: An automatic method of solving discrete programming problems. Econometrica, 28(3), 497-520 (1960). http://www.jstor.org/ stable/1910129
    • (1960) Econometrica , vol.28 , Issue.3 , pp. 497-520
    • Land, A.H.1    Doig, A.G.2
  • 31
    • 84868617000 scopus 로고    scopus 로고
    • A recipe for finding good solutions to MINLPs
    • 10.1007/s12532-011-0031-y 10.1007/s12532-011-0031-y 1276.90041 2870636
    • Liberti, L., Mladenović, N., Nannicini, G.: A recipe for finding good solutions to MINLPs. Math. Program. Comput. 3, 349-390 (2011). doi: 10.1007/s12532-011-0031-y
    • (2011) Math. Program. Comput. , vol.3 , pp. 349-390
    • Liberti, L.1    Mladenović, N.2    Nannicini, G.3
  • 32
    • 68949107822 scopus 로고    scopus 로고
    • The global solver in the LINDO API
    • 10.1080/10556780902753221 10.1080/10556780902753221 1177.90325 2554904
    • Lin, Y., Schrage, L.: The global solver in the LINDO API. Optim. Methods Softw. 24(4-5), 657-668 (2009). doi: 10.1080/10556780902753221
    • (2009) Optim. Methods Softw. , vol.24 , Issue.4-5 , pp. 657-668
    • Lin, Y.1    Schrage, L.2
  • 33
    • 84870469140 scopus 로고    scopus 로고
    • Global optimization of mixed-integer quadratically-constrained quadratic programs (miqcqp) through piecewise-linear and edge-concave relaxations
    • Online publication. doi: 10.1007/s10107-012-0555-6
    • Misener, R., Floudas, C.A.: Global Optimization of Mixed-Integer Quadratically-Constrained Quadratic Programs (MIQCQP) Through Piecewise-Linear and Edge-Concave Relaxations. Mathematical Programming (2012). Online publication. doi: 10.1007/s10107-012-0555-6
    • (2012) Mathematical Programming
    • Misener, R.1    Floudas, C.A.2
  • 34
    • 84875951353 scopus 로고    scopus 로고
    • GloMIQO: Global mixed-integer quadratic optimizer
    • Online publication. doi: 10.1007/s10898-012-9874-7
    • Misener, R., Floudas, C.A.: GloMIQO: Global mixed-integer quadratic optimizer. J. Glob. Optim. (2012). Online publication. doi: 10.1007/s10898-012- 9874-7
    • (2012) J. Glob. Optim.
    • Misener, R.1    Floudas, C.A.2
  • 36
    • 84867509591 scopus 로고    scopus 로고
    • Rounding-based heuristics for nonconvex MINLPs
    • 10.1007/s12532-011-0032-x 10.1007/s12532-011-0032-x 1257.90059 2899149
    • Nannicini, G., Belotti, P.: Rounding-based heuristics for nonconvex MINLPs. Math. Program. Comput. 4(1), 1-31 (2012). doi: 10.1007/s12532-011-0032-x
    • (2012) Math. Program. Comput. , vol.4 , Issue.1 , pp. 1-31
    • Nannicini, G.1    Belotti, P.2
  • 38
    • 2942665751 scopus 로고    scopus 로고
    • Global optimization of mixed-integer nonlinear programs: A theoretical and computational study
    • 10.1007/s10107-003-0467-6 10.1007/s10107-003-0467-6 1062.90041 2051712
    • Tawarmalani, M., Sahinidis, N.V.: Global optimization of mixed-integer nonlinear programs: A theoretical and computational study. Math. Program. 99, 563-591 (2004). doi: 10.1007/s10107-003-0467-6
    • (2004) Math. Program. , vol.99 , pp. 563-591
    • Tawarmalani, M.1    Sahinidis, N.V.2
  • 40
    • 29144523061 scopus 로고    scopus 로고
    • On the implementation of a primal-dual interior point filter line search algorithm for large-scale nonlinear programming
    • 10.1007/s10107-004-0559-y 10.1007/s10107-004-0559-y 1134.90542 2195616
    • Wächter, A., Biegler, L.T.: On the implementation of a primal-dual interior point filter line search algorithm for large-scale nonlinear programming. Math. Program. 106(1), 25-57 (2006). doi: 10.1007/s10107-004-0559-y
    • (2006) Math. Program. , vol.106 , Issue.1 , pp. 25-57
    • Wächter, A.1    Biegler, L.T.2
  • 42
    • 84897114624 scopus 로고    scopus 로고
    • GloMIQO 2.0. http://helios.princeton.edu/GloMIQO/
  • 43
    • 84897112238 scopus 로고    scopus 로고
    • IBM, ILOG CPLEX Optimizer
    • IBM, ILOG CPLEX Optimizer. http://www.cplex.com
  • 44
    • 84897112815 scopus 로고    scopus 로고
    • Lindo Systems, Inc.
    • LindoGlobal. Lindo Systems, Inc. http://www.lindo.com
  • 46
    • 84897112377 scopus 로고    scopus 로고
    • SBB. ARKI Consulting & Development A/S and GAMS Inc.
    • SBB. ARKI Consulting & Development A/S and GAMS Inc. http://www.gams.com/solvers/solvers.htm#SBB
  • 47
    • 84897107306 scopus 로고    scopus 로고
    • SCIP. Solving Constraint Integer Programs
    • SCIP. Solving Constraint Integer Programs. http://scip.zib.de


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