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Volumn 50, Issue 6, 2004, Pages 761-776

Pooling problem: Alternate formulations and solution methods

Author keywords

Bilinear programming; Branch and cut; Heuristics; Pooling problem; Variable neighborhood search

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; HEURISTIC METHODS; LINEAR PROGRAMMING; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING;

EID: 3142607534     PISSN: 00251909     EISSN: None     Source Type: Journal    
DOI: 10.1287/mnsc.1030.0207     Document Type: Article
Times cited : (116)

References (35)
  • 2
    • 0020752471 scopus 로고
    • Jointly constrained biconvex programming
    • Al-Khayyal, F. A., J. E. Falk. 1983. Jointly constrained biconvex programming. Math. Oper. Res. 8(2) 273-286.
    • (1983) Math. Oper. Res. , vol.8 , Issue.2 , pp. 273-286
    • Al-Khayyal, F.A.1    Falk, J.E.2
  • 3
    • 34249831859 scopus 로고
    • A new reformulation-linearization technique for bilinear programming problems
    • Alameddine, A., H. D. Sherali. 1992. A new reformulation-linearization technique for bilinear programming problems. J. Global Optim. 2 379-410.
    • (1992) J. Global Optim. , vol.2 , pp. 379-410
    • Alameddine, A.1    Sherali, H.D.2
  • 4
    • 0031197575 scopus 로고    scopus 로고
    • Modeling the pooling problem at the New Zealand refining company
    • Amos, F., M. Rönnqvist, G. Gill. 1997. Modeling the pooling problem at the New Zealand refining company. J. Oper. Res. Soc. 48 767-778.
    • (1997) J. Oper. Res. Soc. , vol.48 , pp. 767-778
    • Amos, F.1    Rönnqvist, M.2    Gill, G.3
  • 6
    • 0031532337 scopus 로고    scopus 로고
    • Links between the linear bilevel and mixed 0-1 programming problem
    • Audet, C., P. Hansen, B. Jaumard, G. Savard. 1997. Links between the linear bilevel and mixed 0-1 programming problem. J. Optim. Theory Appl. 93(2) 273-300.
    • (1997) J. Optim. Theory Appl. , vol.93 , Issue.2 , pp. 273-300
    • Audet, C.1    Hansen, P.2    Jaumard, B.3    Savard, G.4
  • 7
    • 0001280939 scopus 로고    scopus 로고
    • A branch and cut algorithm for nonconvex quadratically constrained quadratic programming
    • Audet, C., P. Hansen, B. Jaumard, G. Savard. 2000. A branch and cut algorithm for nonconvex quadratically constrained quadratic programming. Math. Programming 87(1) 131-152.
    • (2000) Math. Programming , vol.87 , Issue.1 , pp. 131-152
    • Audet, C.1    Hansen, P.2    Jaumard, B.3    Savard, G.4
  • 8
    • 0022028451 scopus 로고
    • Successive linear programming at Exxon
    • Baker, T. E., L. S. Lasdon. 1985. Successive linear programming at Exxon. Management Sci. 31(3) 264-274.
    • (1985) Management Sci. , vol.31 , Issue.3 , pp. 264-274
    • Baker, T.E.1    Lasdon, L.S.2
  • 9
    • 0028257449 scopus 로고
    • Global minimization by reducing the duality gap
    • Ben-Tal, A., G. Eiger, V. Gershovitz. 1994. Global minimization by reducing the duality gap. Math. Programming 63 193-212.
    • (1994) Math. Programming , vol.63 , pp. 193-212
    • Ben-Tal, A.1    Eiger, G.2    Gershovitz, V.3
  • 10
    • 0031394669 scopus 로고    scopus 로고
    • An operational model for utilizing water sources of varying qualities in an agricultural enterprise
    • Brimberg, J., G. Oron, A. Mehrez. 1997. An operational model for utilizing water sources of varying qualities in an agricultural enterprise. Geography Res. Forum 17 67-77.
    • (1997) Geography Res. Forum , vol.17 , pp. 67-77
    • Brimberg, J.1    Oron, G.2    Mehrez, A.3
  • 11
    • 0043259478 scopus 로고
    • NP-completeness of the linear complementarity problem
    • Chung, S. J. 1989. NP-completeness of the linear complementarity problem. J. Optim. Theory Appl. 60(3) 393-399.
    • (1989) J. Optim. Theory Appl. , vol.60 , Issue.3 , pp. 393-399
    • Chung, S.J.1
  • 12
    • 0002514519 scopus 로고
    • OMEGA: An improved gasoline blending system for Texaco
    • Dewitt, C. W., L. S. Lasdon, D. A. Brenner, S. A. Melhem. 1989. OMEGA: An improved gasoline blending system for Texaco. Interfaces 19 85-101.
    • (1989) Interfaces , vol.19 , pp. 85-101
    • Dewitt, C.W.1    Lasdon, L.S.2    Brenner, D.A.3    Melhem, S.A.4
  • 13
    • 0039415676 scopus 로고    scopus 로고
    • Lagrange duality and partitioning techniques in nonconvex global optimization
    • Dür, M., R. Horst. 1997. Lagrange duality and partitioning techniques in nonconvex global optimization. J. Optim. Theory Appl. 95(2) 347-369.
    • (1997) J. Optim. Theory Appl. , vol.95 , Issue.2 , pp. 347-369
    • Dür, M.1    Horst, R.2
  • 14
    • 0001366478 scopus 로고
    • A decomposition strategy for global optimum search in the pooling problem
    • Floudas, C. A., A. Aggarwal. 1990. A decomposition strategy for global optimum search in the pooling problem. ORSA J. Comput. 2(3) 225-235.
    • (1990) ORSA J. Comput. , vol.2 , Issue.3 , pp. 225-235
    • Floudas, C.A.1    Aggarwal, A.2
  • 15
    • 0027647081 scopus 로고
    • A primal-relaxed dual global optimization approach
    • Floudas, C. A., V. Visweswaran. 1993a. A primal-relaxed dual global optimization approach. J. Optim. Theory Appl. 78(2) 187-225.
    • (1993) J. Optim. Theory Appl. , vol.78 , Issue.2 , pp. 187-225
    • Floudas, C.A.1    Visweswaran, V.2
  • 16
    • 0001427811 scopus 로고
    • New properties and computational improvement of the GOP algorithm for problems with quadratic objective function and constraints
    • Floudas, C. A., V. Visweswaran. 1993b. New properties and computational improvement of the GOP algorithm for problems with quadratic objective function and constraints. J. Global Optim. 3 439-462.
    • (1993) J. Global Optim. , vol.3 , pp. 439-462
    • Floudas, C.A.1    Visweswaran, V.2
  • 17
    • 0003074085 scopus 로고    scopus 로고
    • New formulations and branching strategies for the GOP algorithm
    • I. E. Grossmann, ed. Kluwer Academics Publishers, Dordrecht, The Netherlands
    • Floudas, C. A., V. Visweswaran. 1996. New formulations and branching strategies for the GOP algorithm. I. E. Grossmann, ed. Global Optimization in Engineering Design. Kluwer Academics Publishers, Dordrecht, The Netherlands.
    • (1996) Global Optimization in Engineering Design
    • Floudas, C.A.1    Visweswaran, V.2
  • 18
    • 0000771383 scopus 로고
    • A bilinear approach to the pooling problem
    • Foulds, L. R., D. Haugland, K. Jörnsten. 1992. A bilinear approach to the pooling problem. Optimization 24 165-180.
    • (1992) Optimization , vol.24 , pp. 165-180
    • Foulds, L.R.1    Haugland, D.2    Jörnsten, K.3
  • 19
    • 0000894063 scopus 로고
    • A nonlinear programming technique for the optimization of continuous processing systems
    • Griffith, R. E., R. A. Stewart. 1961. A nonlinear programming technique for the optimization of continuous processing systems. Management Sci. 7 379-392.
    • (1961) Management Sci. , vol.7 , pp. 379-392
    • Griffith, R.E.1    Stewart, R.A.2
  • 20
    • 0029412952 scopus 로고
    • Global optimization of bilinear process networks with multicomponents flows
    • Grossmann, I. E., I. Quesada. 1995. Global optimization of bilinear process networks with multicomponents flows. Comput. Chemical Engrg. 19(12) 1219-1242.
    • (1995) Comput. Chemical Engrg. , vol.19 , Issue.12 , pp. 1219-1242
    • Grossmann, I.E.1    Quesada, I.2
  • 21
    • 0942276872 scopus 로고
    • Reduction of indefinite quadratic programs to bilinear programs
    • Hansen, P., B. Jaumard. 1992. Reduction of indefinite quadratic programs to bilinear programs. J. Global Optim. 2 41-60.
    • (1992) J. Global Optim. , vol.2 , pp. 41-60
    • Hansen, P.1    Jaumard, B.2
  • 23
    • 0001344680 scopus 로고    scopus 로고
    • An introduction to variable neighborhood search
    • S. Voss, S. Martello, I. Osman, R. Roucairol, eds. Kluwer, Dordrecht, The Netherlands
    • Hansen, P., N. Mladenović. 1999. An introduction to variable neighborhood search. S. Voss, S. Martello, I. Osman, R. Roucairol, eds. Metaheuristics, Advances and Trends in Local Search Paradigms for Optimization. Kluwer, Dordrecht, The Netherlands, 433-458.
    • (1999) Metaheuristics, Advances and Trends in Local Search Paradigms for Optimization , pp. 433-458
    • Hansen, P.1    Mladenović, N.2
  • 24
    • 0000367326 scopus 로고
    • New branch-and-bound rules for linear bilevel programming
    • Hansen, P., B. Jaumard, G. Savard. 1992. New branch-and-bound rules for linear bilevel programming. SIAM J. Sci. Statist. Comput. 13 1194-1217.
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 1194-1217
    • Hansen, P.1    Jaumard, B.2    Savard, G.3
  • 25
    • 0001886949 scopus 로고
    • Studies of the behaviour of recursion for the pooling problem
    • Haverly, C. A. 1978. Studies of the behaviour of recursion for the pooling problem. ACM SIGMAP Bull. 25 19-28.
    • (1978) ACM SIGMAP Bull. , vol.25 , pp. 19-28
    • Haverly, C.A.1
  • 26
    • 3142617399 scopus 로고
    • The relationship between distributive recursion and successive linear programming in refining production planning models
    • Seattle, WA
    • Lasdon, L., B. Joffe. 1990. The relationship between distributive recursion and successive linear programming in refining production planning models. NPRA Comput. Conf. Seattle, WA.
    • (1990) NPRA Comput. Conf.
    • Lasdon, L.1    Joffe, B.2
  • 27
    • 0013534701 scopus 로고
    • Solving the pooling problem using generalized reduced gradient and successive linear programming algorithms
    • Lasdon, L., A. Waren, S. Sarkar, F. Palacios-Gomez. 1979. Solving the pooling problem using generalized reduced gradient and successive linear programming algorithms. ACM SIGMAP Bull. 27 9-25.
    • (1979) ACM SIGMAP Bull. , vol.27 , pp. 9-25
    • Lasdon, L.1    Waren, A.2    Sarkar, S.3    Palacios-Gomez, F.4
  • 28
    • 0026839913 scopus 로고
    • Preprocessing nonlinear functional constraints with applications to the pooling problem
    • Lodwick, W. A. 1992. Preprocessing nonlinear functional constraints with applications to the pooling problem. ORSA J. Comput. 4(2) 119-131.
    • (1992) ORSA J. Comput. , vol.4 , Issue.2 , pp. 119-131
    • Lodwick, W.A.1
  • 29
    • 0020190760 scopus 로고
    • Nonlinear optimization by successive linear programming
    • Palacios-Gomez, F., L. S. Lasdon, M. Engquist. 1982. Nonlinear optimization by successive linear programming. Management Sci. 28(10) 1106-1120.
    • (1982) Management Sci. , vol.28 , Issue.10 , pp. 1106-1120
    • Palacios-Gomez, F.1    Lasdon, L.S.2    Engquist, M.3
  • 30
    • 3142616819 scopus 로고    scopus 로고
    • Private communication, November 20
    • Rehfeldt, M., R. Tisljar. 1997. Private communication, November 20.
    • (1997)
    • Rehfeldt, M.1    Tisljar, R.2
  • 31
    • 0000318768 scopus 로고    scopus 로고
    • BARON: A general purpose global optimization software package
    • Sahinidis, N. V. 1996. BARON: A general purpose global optimization software package. J. Global Optim. 8 201-205.
    • (1996) J. Global Optim. , vol.8 , pp. 201-205
    • Sahinidis, N.V.1
  • 32
    • 0001642333 scopus 로고
    • A global optimization algorithm for polynomial programming using a reformulation-linearization technique
    • Sherali, H. D., C. H. Tuncbilek. 1992. A global optimization algorithm for polynomial programming using a reformulation-linearization technique. J. Global Optim. 2 101-112.
    • (1992) J. Global Optim. , vol.2 , pp. 101-112
    • Sherali, H.D.1    Tuncbilek, C.H.2
  • 33
    • 1842688698 scopus 로고    scopus 로고
    • Comparison of two reformulation-linearization technique based linear programming relaxations for polynomial programming problems
    • Sherali, H. D., C. H. Tuncbilek. 1997a. Comparison of two reformulation-linearization technique based linear programming relaxations for polynomial programming problems. J. Global Optim. 10 381-390.
    • (1997) J. Global Optim. , vol.10 , pp. 381-390
    • Sherali, H.D.1    Tuncbilek, C.H.2
  • 34
    • 0009656296 scopus 로고    scopus 로고
    • New reformulation linearization/convexification relaxations for univariate and multivariate polynomial programming problems
    • Sherali, H. D., C. H. Tuncbilek. 1997b. New reformulation linearization/convexification relaxations for univariate and multivariate polynomial programming problems. Oper. Res. Lett. 21 1-9.
    • (1997) Oper. Res. Lett. , vol.21 , pp. 1-9
    • Sherali, H.D.1    Tuncbilek, C.H.2
  • 35
    • 0022145633 scopus 로고
    • An improved successive linear programming algorithm
    • Zhang, J., N. H. Kim, L. S. Lasdon. 1985. An improved successive linear programming algorithm. Management Sci. 31(10) 1312-1331.
    • (1985) Management Sci. , vol.31 , Issue.10 , pp. 1312-1331
    • Zhang, J.1    Kim, N.H.2    Lasdon, L.S.3


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