메뉴 건너뛰기




Volumn 46, Issue 15, 2007, Pages 5141-5151

A new methodology for the general multiparametric mixed-integer linear programming (MILP) problems

Author keywords

[No Author keywords available]

Indexed keywords

ENGINEERING PROBLEMS; MULTIPARAMETRIC; MULTIPARAMETRIC LINEAR PROGRAMMING; OBJECTIVE FUNCTION; OPTIMIZATION MODEL;

EID: 34547471469     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie070148s     Document Type: Article
Times cited : (45)

References (32)
  • 2
    • 0037445865 scopus 로고    scopus 로고
    • Scheduling optimization under uncertainty -an alternative approach
    • Balasubramanian, J.; Grossmann, I. E. Scheduling optimization under uncertainty -an alternative approach. Comput. Chem. Eng. 2003, 27, 469.
    • (2003) Comput. Chem. Eng , vol.27 , pp. 469
    • Balasubramanian, J.1    Grossmann, I.E.2
  • 3
    • 1942532282 scopus 로고    scopus 로고
    • Lin, X.; Janak, S. L.; Floudas, C. A. A new robust optimization approach for scheduling under uncertainty-I. bounded uncertainty. Comput. Chem. Eng. 2004, 28, 2109.
    • Lin, X.; Janak, S. L.; Floudas, C. A. A new robust optimization approach for scheduling under uncertainty-I. bounded uncertainty. Comput. Chem. Eng. 2004, 28, 2109.
  • 4
    • 0033135294 scopus 로고    scopus 로고
    • A framework for schedule evaluation with processing uncertainty
    • Honkomp, S. J.; Mockus, L.; Reklaitis, G. V. A framework for schedule evaluation with processing uncertainty. Comput. Chem. Eng. 1999, 23, 595.
    • (1999) Comput. Chem. Eng , vol.23 , pp. 595
    • Honkomp, S.J.1    Mockus, L.2    Reklaitis, G.V.3
  • 5
    • 1942500445 scopus 로고    scopus 로고
    • Optimization underuncertainty: State-of-the-art and opportunities
    • Sahinidis, N. V. Optimization underuncertainty: State-of-the-art and opportunities. Comput. Chem. Eng. 2004, 28, 971.
    • (2004) Comput. Chem. Eng , vol.28 , pp. 971
    • Sahinidis, N.V.1
  • 6
    • 3042696417 scopus 로고    scopus 로고
    • Short-term Scheduling under Uncertainty Using MILP Sensitivity Analysis
    • Jia, Z.; lerapetritou, M. G. Short-term Scheduling under Uncertainty Using MILP Sensitivity Analysis. Ind. Eng. Chem. Res. 2004, 43, 3782.
    • (2004) Ind. Eng. Chem. Res , vol.43 , pp. 3782
    • Jia, Z.1    lerapetritou, M.G.2
  • 7
    • 0003137149 scopus 로고
    • The Computational Algorithm for the Parametric Objective Function
    • Gass, S.; Saaty, T. The Computational Algorithm for the Parametric Objective Function. Nav. Res. Logist. Q. 1955, 2, 39.
    • (1955) Nav. Res. Logist. Q , vol.2 , pp. 39
    • Gass, S.1    Saaty, T.2
  • 9
    • 0002134217 scopus 로고
    • Parametric methods in integer linear programming
    • Jenkins, L. Parametric methods in integer linear programming. Ann. Oper. Res. 1990, 27, 77.
    • (1990) Ann. Oper. Res , vol.27 , pp. 77
    • Jenkins, L.1
  • 10
    • 0000627541 scopus 로고
    • Multiparametric Linear Programming
    • Gal, T.; Nedoma, J. Multiparametric Linear Programming, Manage. Sci. 1972, 18, 406.
    • (1972) Manage. Sci , vol.18 , pp. 406
    • Gal, T.1    Nedoma, J.2
  • 11
    • 0141737036 scopus 로고    scopus 로고
    • A geometric algorithm for multi-parametric linear programming
    • Borrelli, E.; Bemporad, A.; Morari, M. A geometric algorithm for multi-parametric linear programming. J. Opt. Therm. Appl. 2003, 118, 515.
    • (2003) J. Opt. Therm. Appl , vol.118 , pp. 515
    • Borrelli, E.1    Bemporad, A.2    Morari, M.3
  • 12
    • 0036604837 scopus 로고    scopus 로고
    • Multiparametric Demand Linear Transportation Problem
    • Filippi, C.; Romanin-Jacur, G. Multiparametric Demand Linear Transportation Problem. Eur. J. Oper. Res. 2002, 139, 206.
    • (2002) Eur. J. Oper. Res , vol.139 , pp. 206
    • Filippi, C.1    Romanin-Jacur, G.2
  • 13
    • 0347093381 scopus 로고    scopus 로고
    • An Algorithm for Approximate Multiparametric Linear Programming
    • Filippi, C. An Algorithm for Approximate Multiparametric Linear Programming. J. Opt. Therm. Appl. 2004, 120, 73.
    • (2004) J. Opt. Therm. Appl , vol.120 , pp. 73
    • Filippi, C.1
  • 15
    • 0036027604 scopus 로고    scopus 로고
    • The explicit linear quadratic regulator for constrained systems
    • Bemporad, A.; Morari, M.; Dua, V.; Pistikopoulos, E. N. The explicit linear quadratic regulator for constrained systems. Automatica 2002, 38, 3.
    • (2002) Automatica , vol.38 , pp. 3
    • Bemporad, A.1    Morari, M.2    Dua, V.3    Pistikopoulos, E.N.4
  • 16
    • 0142193651 scopus 로고    scopus 로고
    • An Efficient Algorithm for Multiparametric Quadratic Programming
    • Technical Report AUT02-04, Automatic Control Laboratory, ETH Zurich, Switzerland, February
    • Baotic, M. An Efficient Algorithm for Multiparametric Quadratic Programming. Technical Report AUT02-04, Automatic Control Laboratory, ETH Zurich, Switzerland, February 2002.
    • (2002)
    • Baotic, M.1
  • 17
    • 0037363301 scopus 로고    scopus 로고
    • An algorithm for multiparametric quadratic programming and explicit MPC solutions
    • Tøndel, P.; Johansen, T. A.; Bemporad, A. An algorithm for multiparametric quadratic programming and explicit MPC solutions, Automatica 2003, 39, 489.
    • (2003) Automatica , vol.39 , pp. 489
    • Tøndel, P.1    Johansen, T.A.2    Bemporad, A.3
  • 18
    • 0036996308 scopus 로고    scopus 로고
    • On multi-parametric nonlinear programming and explicit nonlinear model predictive control
    • Las Vegas, NV
    • Johansen, T. A. On multi-parametric nonlinear programming and explicit nonlinear model predictive control. In Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, 2002; pp 2768-2773.
    • (2002) Proceedings of the 41st IEEE Conference on Decision and Control , pp. 2768-2773
    • Johansen, T.A.1
  • 19
    • 33748296172 scopus 로고    scopus 로고
    • An Algorithm for Approximate Multiparametric Convex Programming
    • Bemporad, A.; Filippi, G An Algorithm for Approximate Multiparametric Convex Programming. Comput. Optim. Appl. 2006, 35, 87.
    • (2006) Comput. Optim. Appl , vol.35 , pp. 87
    • Bemporad, A.1    Filippi, G.2
  • 20
    • 0242298601 scopus 로고    scopus 로고
    • An efficient algorithm for convex multiparametric nonlinear programming problems
    • Acevedo, J.; Salgueiro, M. An efficient algorithm for convex multiparametric nonlinear programming problems. Ind. Eng. Chem. Res. 2003, 42, 5883.
    • (2003) Ind. Eng. Chem. Res , vol.42 , pp. 5883
    • Acevedo, J.1    Salgueiro, M.2
  • 22
    • 0031100306 scopus 로고    scopus 로고
    • A multiparametric programming approach for linear process engineering problems under uncertainty
    • Acevedo, J.; Pistikopoulos, E. N. A multiparametric programming approach for linear process engineering problems under uncertainty, Ind. Eng. Chem. Res. 1997, 36, 717.
    • (1997) Ind. Eng. Chem. Res , vol.36 , pp. 717
    • Acevedo, J.1    Pistikopoulos, E.N.2
  • 23
    • 0042188408 scopus 로고    scopus 로고
    • Algorithms for the solution of multiparametric mixed integer linear optimization problems
    • Dua, V.; Pistikopoulos, E. N. Algorithms for the solution of multiparametric mixed integer linear optimization problems. Ann. Oper. Res. 2000, 99, 123.
    • (2000) Ann. Oper. Res , vol.99 , pp. 123
    • Dua, V.1    Pistikopoulos, E.N.2
  • 24
    • 0001052070 scopus 로고    scopus 로고
    • Parametric optimization of MILP programs and a framework for the parametric optimization of MINLPs
    • Pertsinidis, A.; Grossmann, I. E.; McRae, G. J. Parametric optimization of MILP programs and a framework for the parametric optimization of MINLPs. Comput. Chem. Eng. 1998, 22, S205.
    • (1998) Comput. Chem. Eng , vol.22
    • Pertsinidis, A.1    Grossmann, I.E.2    McRae, G.J.3
  • 25
    • 0037118573 scopus 로고    scopus 로고
    • The multiparametric 0-1 integer linear programming problem: A unified approach
    • Crema, A. The multiparametric 0-1 integer linear programming problem: a unified approach. Eur. J. Oper. Res. 2002, 139, 511.
    • (2002) Eur. J. Oper. Res , vol.139 , pp. 511
    • Crema, A.1
  • 26
    • 33745739750 scopus 로고    scopus 로고
    • Uncertainty Analysis on the Right-HandSide for MILP problems
    • Jia, Z.; Ierapetritou, M. G. Uncertainty Analysis on the Right-HandSide for MILP problems. AIChE J. 2006, 52, 2486.
    • (2006) AIChE J , vol.52 , pp. 2486
    • Jia, Z.1    Ierapetritou, M.G.2
  • 27
    • 0037093302 scopus 로고    scopus 로고
    • A multiparametric programming approach for mixed-integer quadratic engineering problems
    • Dua, V.; Bozinis, N. A.; Pistikopoulos, E. N. A multiparametric programming approach for mixed-integer quadratic engineering problems. Comput. Chem. Eng. 2002, 26, 715.
    • (2002) Comput. Chem. Eng , vol.26 , pp. 715
    • Dua, V.1    Bozinis, N.A.2    Pistikopoulos, E.N.3
  • 28
    • 1542318534 scopus 로고    scopus 로고
    • Multiparametric nonlinear integer programming and explicit quantized optimal control
    • Bemporad, A. Multiparametric nonlinear integer programming and explicit quantized optimal control. In Proceedings of the IEEE Conference on Decision and Control, 2003; pp 3167-3172.
    • (2003) Proceedings of the IEEE Conference on Decision and Control , pp. 3167-3172
    • Bemporad, A.1
  • 29
    • 34249842390 scopus 로고    scopus 로고
    • Avis; Fukuda, K. A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra. Discrete Comput. Geom. 1992, 8, 295.
    • Avis; Fukuda, K. A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra. Discrete Comput. Geom. 1992, 8, 295.
  • 30
    • 84947909628 scopus 로고    scopus 로고
    • Double description method revisited
    • Combinatorics and Computer Science; Deza, M, Euler, R, Manoussakis, I, Eds, Springer: Berlin, New York
    • Fukuda, K.; Prodon, A. Double description method revisited. In Combinatorics and Computer Science; Deza, M., Euler, R., Manoussakis, I., Eds.; Lecture Notes in Computer Science 1120; Springer: Berlin, New York, 1996; p 91.
    • (1996) Lecture Notes in Computer Science , vol.1120 , pp. 91
    • Fukuda, K.1    Prodon, A.2
  • 32
    • 33845605931 scopus 로고    scopus 로고
    • A novel approach to scheduling of zero-wait batch processes under processing time variations
    • Ryu, J. H.; Pistikopoulos, E. N. A novel approach to scheduling of zero-wait batch processes under processing time variations. Comput. Chem. Eng. 2007, 31, 101.
    • (2007) Comput. Chem. Eng , vol.31 , pp. 101
    • Ryu, J.H.1    Pistikopoulos, E.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.