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Volumn 136, Issue , 2015, Pages 139-157

On the solution of large-scale mixed integer programming scheduling models

Author keywords

Optimization; Process operations; Reformulations; Solution methods; Supply chain optimization; Tightening constraints

Indexed keywords

OPTIMIZATION; SCHEDULING; SUPPLY CHAINS;

EID: 84930335068     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2015.05.021     Document Type: Article
Times cited : (19)

References (76)
  • 1
    • 0023977010 scopus 로고
    • The shifting bottleneck procedure for job shop scheduling
    • Adams, J., Balas, E., Zawack, D., The shifting bottleneck procedure for job shop scheduling. Manage. Sci. 34:3 (1988), 391–401.
    • (1988) Manage. Sci. , vol.34 , Issue.3 , pp. 391-401
    • Adams, J.1    Balas, E.2    Zawack, D.3
  • 2
    • 0004295951 scopus 로고    scopus 로고
    • Constraint-based Scheduling: Applying Constraint Programming to Scheduling Problems
    • Kluwer Academic Boston 198 p
    • Baptiste, P., Le Pape, C., Nuijten, W., Constraint-based Scheduling: Applying Constraint Programming to Scheduling Problems. 2001, Kluwer Academic, Boston, xii 198 p.
    • (2001) , pp. xii
    • Baptiste, P.1    Le Pape, C.2    Nuijten, W.3
  • 4
    • 0030417871 scopus 로고    scopus 로고
    • Decomposition techniques for the solution of large-scale scheduling problems
    • Bassett, M.H., Pekny, J.F., Reklaitis, G.V., Decomposition techniques for the solution of large-scale scheduling problems. AIChE J. 42:12 (1996), 3373–3387.
    • (1996) AIChE J. , vol.42 , Issue.12 , pp. 3373-3387
    • Bassett, M.H.1    Pekny, J.F.2    Reklaitis, G.V.3
  • 5
    • 0034689128 scopus 로고    scopus 로고
    • LP-based heuristics for scheduling chemical batch processes
    • Blomer, F., Gunther, H.O., LP-based heuristics for scheduling chemical batch processes. Int. J. Prod. Res. 38:5 (2000), 1029–1051.
    • (2000) Int. J. Prod. Res. , vol.38 , Issue.5 , pp. 1029-1051
    • Blomer, F.1    Gunther, H.O.2
  • 6
    • 22944446817 scopus 로고    scopus 로고
    • Review, extensions and computational comparison of MILP formulations for scheduling of batch processes
    • Burkard, R.E., Hatzl, J., Review, extensions and computational comparison of MILP formulations for scheduling of batch processes. Comput. Chem. Eng. 29:8 (2005), 1752–1769.
    • (2005) Comput. Chem. Eng. , vol.29 , Issue.8 , pp. 1752-1769
    • Burkard, R.E.1    Hatzl, J.2
  • 7
    • 84873346169 scopus 로고    scopus 로고
    • Hybrid bilevel-Lagrangean decomposition scheme for the integration of planning and scheduling of a network of batch plants
    • Calfa, B.A., Agarwal, A., Grossmann, I.E., Wassick, J.M., Hybrid bilevel-Lagrangean decomposition scheme for the integration of planning and scheduling of a network of batch plants. Ind. Eng. Chem. Res. 52:5 (2013), 2152–2167.
    • (2013) Ind. Eng. Chem. Res. , vol.52 , Issue.5 , pp. 2152-2167
    • Calfa, B.A.1    Agarwal, A.2    Grossmann, I.E.3    Wassick, J.M.4
  • 8
    • 0000165767 scopus 로고
    • An algorithm for solving the job-shop problem
    • Carlier, J., Pinson, E., An algorithm for solving the job-shop problem. Manage. Sci. 35:2 (1989), 164–176.
    • (1989) Manage. Sci. , vol.35 , Issue.2 , pp. 164-176
    • Carlier, J.1    Pinson, E.2
  • 9
    • 0035795519 scopus 로고    scopus 로고
    • An improved RTN continuous-time formulation for the short-term scheduling of multipurpose batch plants
    • Castro, P., Barbosa-Povoa, A.P.F.D., Matos, H., An improved RTN continuous-time formulation for the short-term scheduling of multipurpose batch plants. Ind. Eng. Chem. Res. 40:9 (2001), 2059–2068.
    • (2001) Ind. Eng. Chem. Res. , vol.40 , Issue.9 , pp. 2059-2068
    • Castro, P.1    Barbosa-Povoa, A.P.F.D.2    Matos, H.3
  • 10
    • 29144514680 scopus 로고    scopus 로고
    • New continuous-time MILP model for the short-term scheduling of multistage batch plants
    • Castro, P.M., Grossmann, I.E., New continuous-time MILP model for the short-term scheduling of multistage batch plants. Ind. Eng. Chem. Res. 44:24 (2005), 9175–9190.
    • (2005) Ind. Eng. Chem. Res. , vol.44 , Issue.24 , pp. 9175-9190
    • Castro, P.M.1    Grossmann, I.E.2
  • 11
    • 78449270823 scopus 로고    scopus 로고
    • Optimal scheduling of continuous plants with energy constraints
    • Castro, P.M., Harjunkoski, I., Grossmann, I.E., Optimal scheduling of continuous plants with energy constraints. Comput. Chem. Eng. 35:2 (2011), 372–387.
    • (2011) Comput. Chem. Eng. , vol.35 , Issue.2 , pp. 372-387
    • Castro, P.M.1    Harjunkoski, I.2    Grossmann, I.E.3
  • 12
    • 0031140322 scopus 로고    scopus 로고
    • A mixed-integer linear programming model for short-term scheduling of single-stage multiproduct batch plants with parallel lines
    • Cerda, J., Henning, G.P., Grossmann, I.E., A mixed-integer linear programming model for short-term scheduling of single-stage multiproduct batch plants with parallel lines. Ind. Eng. Chem. Res. 36:5 (1997), 1695–1707.
    • (1997) Ind. Eng. Chem. Res. , vol.36 , Issue.5 , pp. 1695-1707
    • Cerda, J.1    Henning, G.P.2    Grossmann, I.E.3
  • 13
    • 0000685021 scopus 로고    scopus 로고
    • RTN-based rolling horizon algorithms for medium term scheduling of multipurpose plants
    • Dimitriadis, A.D., Shah, N., Pantelides, C.C., RTN-based rolling horizon algorithms for medium term scheduling of multipurpose plants. Comput. Chem. Eng. 21 (1997), S1061–S1066.
    • (1997) Comput. Chem. Eng. , vol.21 , pp. S1061-S1066
    • Dimitriadis, A.D.1    Shah, N.2    Pantelides, C.C.3
  • 14
    • 68749118271 scopus 로고    scopus 로고
    • Simultaneous batching and scheduling using dynamic decomposition on a grid
    • Ferris, M.C., Maravelias, C.T., Sundaramoorthy, A., Simultaneous batching and scheduling using dynamic decomposition on a grid. INFORMS J. Comput. 21:3 (2009), 398–410.
    • (2009) INFORMS J. Comput. , vol.21 , Issue.3 , pp. 398-410
    • Ferris, M.C.1    Maravelias, C.T.2    Sundaramoorthy, A.3
  • 15
    • 67651092136 scopus 로고    scopus 로고
    • A novel network-based continuous-time representation for process scheduling: Part I. Main concepts and mathematical formulation
    • Gimenez, D.M., Henning, G.P., Maravelias, C.T., A novel network-based continuous-time representation for process scheduling: Part I. Main concepts and mathematical formulation. Comput. Chem. Eng. 33:9 (2009), 1511–1528.
    • (2009) Comput. Chem. Eng. , vol.33 , Issue.9 , pp. 1511-1528
    • Gimenez, D.M.1    Henning, G.P.2    Maravelias, C.T.3
  • 16
    • 68549088725 scopus 로고    scopus 로고
    • A novel network-based continuous-time representation for process scheduling: Part II. General framework
    • Gimenez, D.M., Henning, G.P., Maravelias, C.T., A novel network-based continuous-time representation for process scheduling: Part II. General framework. Comput. Chem. Eng. 33:10 (2009), 1644–1660.
    • (2009) Comput. Chem. Eng. , vol.33 , Issue.10 , pp. 1644-1660
    • Gimenez, D.M.1    Henning, G.P.2    Maravelias, C.T.3
  • 17
    • 0037111002 scopus 로고    scopus 로고
    • Decomposition techniques for multistage scheduling problems using mixed-integer and constraint programming methods
    • Harjunkoski, I., Grossmann, I.E., Decomposition techniques for multistage scheduling problems using mixed-integer and constraint programming methods. Comput. Chem. Eng. 26:11 (2002), 1533–1552.
    • (2002) Comput. Chem. Eng. , vol.26 , Issue.11 , pp. 1533-1552
    • Harjunkoski, I.1    Grossmann, I.E.2
  • 19
    • 0004108743 scopus 로고    scopus 로고
    • Logic-based Methods for Optimization: Combining Optimization and Constraint Satisfaction
    • John Wiley & Sons New York, NY 495 p
    • Hooker, J., Logic-based Methods for Optimization: Combining Optimization and Constraint Satisfaction. 2000, John Wiley & Sons, New York, NY, xvi 495 p.
    • (2000) , pp. xvi
    • Hooker, J.1
  • 20
    • 2542528067 scopus 로고    scopus 로고
    • optimization, and constraint programming
    • Hooker, J.N. Logic, optimization, and constraint programming. INFORMS J. Comput. 14:4 (2002), 295–321.
    • (2002) INFORMS J. Comput. , vol.14 , Issue.4 , pp. 295-321
    • Hooker, J.N.L.1
  • 21
    • 0032216021 scopus 로고    scopus 로고
    • Effective continuous-time formulation for short-term scheduling. 1. Multipurpose batch processes
    • Ierapetritou, M.G., Floudas, C.A., Effective continuous-time formulation for short-term scheduling. 1. Multipurpose batch processes. Ind. Eng. Chem. Res. 37:11 (1998), 4341–4359.
    • (1998) Ind. Eng. Chem. Res. , vol.37 , Issue.11 , pp. 4341-4359
    • Ierapetritou, M.G.1    Floudas, C.A.2
  • 22
    • 0010986664 scopus 로고    scopus 로고
    • Algorithms for hybrid MILP/CP models for a class of optimization problems
    • Jain, V., Grossmann, I.E., Algorithms for hybrid MILP/CP models for a class of optimization problems. INFORMS J. Comput. 13:4 (2001), 258–276.
    • (2001) INFORMS J. Comput. , vol.13 , Issue.4 , pp. 258-276
    • Jain, V.1    Grossmann, I.E.2
  • 23
    • 38849197825 scopus 로고    scopus 로고
    • Improving unit-specific event based continuous-time approaches for batch processes: integrality gap and task splitting
    • Janak, S.L., Floudas, C.A., Improving unit-specific event based continuous-time approaches for batch processes: integrality gap and task splitting. Comput. Chem. Eng. 32:4-5 (2008), 913–955.
    • (2008) Comput. Chem. Eng. , vol.32 , Issue.4-5 , pp. 913-955
    • Janak, S.L.1    Floudas, C.A.2
  • 24
    • 2442436591 scopus 로고    scopus 로고
    • Enhanced continuous-time unit-specific event-based formulation for short-term scheduling of multipurpose batch processes: resource constraints and mixed storage policies
    • Janak, S.L., Lin, X.X., Floudas, C.A., Enhanced continuous-time unit-specific event-based formulation for short-term scheduling of multipurpose batch processes: resource constraints and mixed storage policies. Ind. Eng. Chem. Res. 43:10 (2004), 2516–2533.
    • (2004) Ind. Eng. Chem. Res. , vol.43 , Issue.10 , pp. 2516-2533
    • Janak, S.L.1    Lin, X.X.2    Floudas, C.A.3
  • 25
    • 0442264226 scopus 로고    scopus 로고
    • Planning and scheduling in the process industry
    • Kallrath, J., Planning and scheduling in the process industry. OR Spectrum 24:3 (2002), 219–250.
    • (2002) OR Spectrum , vol.24 , Issue.3 , pp. 219-250
    • Kallrath, J.1
  • 26
    • 50549101227 scopus 로고    scopus 로고
    • Hierarchical decomposition heuristic for scheduling: coordinated reasoning for decentralized and distributed decision-making problems
    • Kelly, J.D., Zyngier, D., Hierarchical decomposition heuristic for scheduling: coordinated reasoning for decentralized and distributed decision-making problems. Comput. Chem. Eng. 32:11 (2008), 2684–2705.
    • (2008) Comput. Chem. Eng. , vol.32 , Issue.11 , pp. 2684-2705
    • Kelly, J.D.1    Zyngier, D.2
  • 27
    • 84976518397 scopus 로고    scopus 로고
    • Multi-product inventory logistics modeling in the process industries
    • W. Chaovalitwongse K.C. Furman P.M. Pardalos Springer New York, NY
    • Kelly, J.D., Zyngier, D., Multi-product inventory logistics modeling in the process industries. Chaovalitwongse, W., Furman, K.C., Pardalos, P.M., (eds.) Optimization and Logistics Challenges in the Enterprise, 2009, Springer, New York, NY, 61–95.
    • (2009) Optimization and Logistics Challenges in the Enterprise , pp. 61-95
    • Kelly, J.D.1    Zyngier, D.2
  • 28
    • 0027545176 scopus 로고
    • A general algorithm for short-term scheduling of batch-operations. 1. Milp formulation
    • Kondili, E., Pantelides, C.C., Sargent, R.W.H., A general algorithm for short-term scheduling of batch-operations. 1. Milp formulation. Comput. Chem. Eng. 17:2 (1993), 211–227.
    • (1993) Comput. Chem. Eng. , vol.17 , Issue.2 , pp. 211-227
    • Kondili, E.1    Pantelides, C.C.2    Sargent, R.W.H.3
  • 29
    • 77955559888 scopus 로고    scopus 로고
    • MIP-based decomposition strategies for large-scale scheduling problems in multiproduct multistage batch plants: a benchmark scheduling problem of the pharmaceutical industry
    • Kopanos, G.M., Mendez, C.A., Puigjaner, L., MIP-based decomposition strategies for large-scale scheduling problems in multiproduct multistage batch plants: a benchmark scheduling problem of the pharmaceutical industry. Eur. J. Oper. Res. 207:2 (2010), 644–655.
    • (2010) Eur. J. Oper. Res. , vol.207 , Issue.2 , pp. 644-655
    • Kopanos, G.M.1    Mendez, C.A.2    Puigjaner, L.3
  • 30
    • 0024090948 scopus 로고
    • Scheduling in serial multiproduct batch processes with finite interstage storage—a mixed integer linear program formulation
    • Ku, H.M., Karimi, I.A., Scheduling in serial multiproduct batch processes with finite interstage storage—a mixed integer linear program formulation. Ind. Eng. Chem. Res. 27:10 (1988), 1840–1848.
    • (1988) Ind. Eng. Chem. Res. , vol.27 , Issue.10 , pp. 1840-1848
    • Ku, H.M.1    Karimi, I.A.2
  • 31
    • 0037036735 scopus 로고    scopus 로고
    • Continuous-time optimization approach for medium-range production scheduling of a multiproduct batch plant
    • Lin, X.X., Floudas, C.A., Modi, S., Juhasz, N.M., Continuous-time optimization approach for medium-range production scheduling of a multiproduct batch plant. Ind. Eng. Chem. Res. 41:16 (2002), 3884–3906.
    • (2002) Ind. Eng. Chem. Res. , vol.41 , Issue.16 , pp. 3884-3906
    • Lin, X.X.1    Floudas, C.A.2    Modi, S.3    Juhasz, N.M.4
  • 32
    • 30344468781 scopus 로고    scopus 로고
    • A decomposition framework for the scheduling of single- and multi-stage processes
    • Maravelias, C.T., A decomposition framework for the scheduling of single- and multi-stage processes. Comput. Chem. Eng. 30:3 (2006), 407–420.
    • (2006) Comput. Chem. Eng. , vol.30 , Issue.3 , pp. 407-420
    • Maravelias, C.T.1
  • 33
    • 84860610233 scopus 로고    scopus 로고
    • General framework and modeling approach classification for chemical production scheduling
    • Maravelias, C.T., General framework and modeling approach classification for chemical production scheduling. AIChE J. 58:6 (2012), 1812–1828.
    • (2012) AIChE J. , vol.58 , Issue.6 , pp. 1812-1828
    • Maravelias, C.T.1
  • 34
    • 0344063349 scopus 로고    scopus 로고
    • Minimization of the makespan with a discrete-time state-task network formulation
    • Maravelias, C.T., Grossmann, I.E., Minimization of the makespan with a discrete-time state-task network formulation. Ind. Eng. Chem. Res. 42:24 (2003), 6252–6257.
    • (2003) Ind. Eng. Chem. Res. , vol.42 , Issue.24 , pp. 6252-6257
    • Maravelias, C.T.1    Grossmann, I.E.2
  • 35
    • 0037635200 scopus 로고    scopus 로고
    • New general continuous-time state-task network formulation for short-term scheduling of multipurpose batch plants
    • Maravelias, C.T., Grossmann, I.E., New general continuous-time state-task network formulation for short-term scheduling of multipurpose batch plants. Ind. Eng. Chem. Res. 42:13 (2003), 3056–3074.
    • (2003) Ind. Eng. Chem. Res. , vol.42 , Issue.13 , pp. 3056-3074
    • Maravelias, C.T.1    Grossmann, I.E.2
  • 36
    • 4143136582 scopus 로고    scopus 로고
    • A hybrid MILP/CP decomposition approach for the continuous time scheduling of multipurpose batch plants
    • Maravelias, C.T., Grossmann, I.E., A hybrid MILP/CP decomposition approach for the continuous time scheduling of multipurpose batch plants. Comput. Chem. Eng. 28:10 (2004), 1921–1949.
    • (2004) Comput. Chem. Eng. , vol.28 , Issue.10 , pp. 1921-1949
    • Maravelias, C.T.1    Grossmann, I.E.2
  • 37
    • 0042807254 scopus 로고    scopus 로고
    • Dynamic scheduling in multiproduct batch plants
    • Mendez, C.A., Cerda, J., Dynamic scheduling in multiproduct batch plants. Comput. Chem. Eng. 27:8-9 (2003), 1247–1259.
    • (2003) Comput. Chem. Eng. , vol.27 , Issue.8-9 , pp. 1247-1259
    • Mendez, C.A.1    Cerda, J.2
  • 38
    • 33748102266 scopus 로고    scopus 로고
    • State-of-the-art review of optimization methods for short-term scheduling of batch processes
    • Mendez, C.A., Cerda, J., Grossmann, I.E., Harjunkoski, I., Fahl, M., State-of-the-art review of optimization methods for short-term scheduling of batch processes. Comput. Chem. Eng. 30:6-7 (2006), 913–946.
    • (2006) Comput. Chem. Eng. , vol.30 , Issue.6-7 , pp. 913-946
    • Mendez, C.A.1    Cerda, J.2    Grossmann, I.E.3    Harjunkoski, I.4    Fahl, M.5
  • 39
    • 85079963049 scopus 로고    scopus 로고
    • Preprocessing and tightening methods for time-indexed MIP chemical production scheduling models. Submitted for publication
    • Merchan A.F., Maravelias C.T. Preprocessing and tightening methods for time-indexed MIP chemical production scheduling models. Submitted for publication.
    • Merchan, A.F.1    Maravelias, C.T.2
  • 40
    • 84902843491 scopus 로고    scopus 로고
    • Reformulations of mixed-integer programming continuous-time models for chemical production scheduling
    • Merchan, A.F., Maravelias, C.T., Reformulations of mixed-integer programming continuous-time models for chemical production scheduling. Ind. Eng. Chem. Res. 53:24 (2014), 10155–10165.
    • (2014) Ind. Eng. Chem. Res. , vol.53 , Issue.24 , pp. 10155-10165
    • Merchan, A.F.1    Maravelias, C.T.2
  • 41
    • 84887622375 scopus 로고    scopus 로고
    • Tightening methods for continuous-time mixed-integer programming models for chemical production scheduling
    • Merchan, A.F., Velez, S., Maravelias, C.T., Tightening methods for continuous-time mixed-integer programming models for chemical production scheduling. AIChE J. 59:12 (2013), 4461–4467.
    • (2013) AIChE J. , vol.59 , Issue.12 , pp. 4461-4467
    • Merchan, A.F.1    Velez, S.2    Maravelias, C.T.3
  • 42
    • 0032997426 scopus 로고    scopus 로고
    • Continuous time representation approach to batch and continuous process scheduling. 1. MINLP formulation
    • Mockus, L., Reklaitis, G.V., Continuous time representation approach to batch and continuous process scheduling. 1. MINLP formulation. Ind. Eng. Chem. Res. 38:1 (1999), 197–203.
    • (1999) Ind. Eng. Chem. Res. , vol.38 , Issue.1 , pp. 197-203
    • Mockus, L.1    Reklaitis, G.V.2
  • 43
    • 84910071771 scopus 로고    scopus 로고
    • Extended discrete-time resource task network formulation for the reactive scheduling of a mixed batch/continuous process
    • Nie, Y., Biegler, L.T., Wassick, J.M., Villa, C.M., Extended discrete-time resource task network formulation for the reactive scheduling of a mixed batch/continuous process. Ind. Eng. Chem. Res., 2014.
    • (2014) Ind. Eng. Chem. Res.
    • Nie, Y.1    Biegler, L.T.2    Wassick, J.M.3    Villa, C.M.4
  • 44
    • 35548941233 scopus 로고    scopus 로고
    • Scheduling of multi-product batch plants based upon timed automata models
    • Panek, S., Engell, S., Subbiah, S., Stursberg, O., Scheduling of multi-product batch plants based upon timed automata models. Comput. Chem. Eng. 32:1-2 (2008), 275–291.
    • (2008) Comput. Chem. Eng. , vol.32 , Issue.1-2 , pp. 275-291
    • Panek, S.1    Engell, S.2    Subbiah, S.3    Stursberg, O.4
  • 45
    • 0000763707 scopus 로고
    • In unified frameworks for optimal process planning and scheduling. In: Second Conference on Foundations of Computer Aided Process Operations, Snowmass, CO, CACHE Publications
    • Pantelides, C.C., 1994. In unified frameworks for optimal process planning and scheduling. In: Second Conference on Foundations of Computer Aided Process Operations, Snowmass, CO, CACHE Publications, pp. 253–274.
    • (1994) , pp. 253-274
    • Pantelides, C.C.1
  • 46
    • 0030084421 scopus 로고    scopus 로고
    • Optimal campaign planning scheduling of multipurpose batch semicontinuous plants. 2. A mathematical decomposition approach
    • Papageorgiou, L.G., Pantelides, C.C., Optimal campaign planning scheduling of multipurpose batch semicontinuous plants. 2. A mathematical decomposition approach. Ind. Eng. Chem. Res. 35:2 (1996), 510–529.
    • (1996) Ind. Eng. Chem. Res. , vol.35 , Issue.2 , pp. 510-529
    • Papageorgiou, L.G.1    Pantelides, C.C.2
  • 47
    • 0030085944 scopus 로고    scopus 로고
    • Optimal campaign planning scheduling of multipurpose batch semicontinuous plants. 1. Mathematical formulation
    • Papageorgiou, L.G., Pantelides, C.C., Optimal campaign planning scheduling of multipurpose batch semicontinuous plants. 1. Mathematical formulation. Ind. Eng. Chem. Res. 35:2 (1996), 488–509.
    • (1996) Ind. Eng. Chem. Res. , vol.35 , Issue.2 , pp. 488-509
    • Papageorgiou, L.G.1    Pantelides, C.C.2
  • 48
    • 0001690679 scopus 로고
    • A continuous-time mixed-integer linear-programming model for short-term scheduling of multistage batch plants
    • Pinto, J.M., Grossmann, I.E., A continuous-time mixed-integer linear-programming model for short-term scheduling of multistage batch plants. Ind. Eng. Chem. Res. 34:9 (1995), 3037–3051.
    • (1995) Ind. Eng. Chem. Res. , vol.34 , Issue.9 , pp. 3037-3051
    • Pinto, J.M.1    Grossmann, I.E.2
  • 49
    • 41149128843 scopus 로고    scopus 로고
    • Batch selection, assignment and sequencing in multi-stage multi-product processes
    • Prasad, P., Maravelias, C.T., Batch selection, assignment and sequencing in multi-stage multi-product processes. Comput. Chem. Eng. 32:6 (2008), 1106–1119.
    • (2008) Comput. Chem. Eng. , vol.32 , Issue.6 , pp. 1106-1119
    • Prasad, P.1    Maravelias, C.T.2
  • 50
    • 18244375235 scopus 로고    scopus 로고
    • A hybrid MILP/CLP algorithm for multipurpose batch process scheduling
    • Roe, B., Papageorgiou, L.G., Shah, N., A hybrid MILP/CLP algorithm for multipurpose batch process scheduling. Comput. Chem. Eng. 29:6 (2005), 1277–1291.
    • (2005) Comput. Chem. Eng. , vol.29 , Issue.6 , pp. 1277-1291
    • Roe, B.1    Papageorgiou, L.G.2    Shah, N.3
  • 51
    • 0035339890 scopus 로고    scopus 로고
    • An MILP-based reordering algorithm for complex industrial scheduling and rescheduling
    • Roslof, J., Harjunkoski, I., Bjorkqvist, J., Karlsson, S., Westerlund, T., An MILP-based reordering algorithm for complex industrial scheduling and rescheduling. Comput. Chem. Eng. 25:4-6 (2001), 821–828.
    • (2001) Comput. Chem. Eng. , vol.25 , Issue.4-6 , pp. 821-828
    • Roslof, J.1    Harjunkoski, I.2    Bjorkqvist, J.3    Karlsson, S.4    Westerlund, T.5
  • 52
    • 0026143149 scopus 로고
    • Reformulation of multiperiod MILP models for planning and scheduling of chemical processes
    • Sahinidis, N.V., Grossmann, I.E., Reformulation of multiperiod MILP models for planning and scheduling of chemical processes. Comput. Chem. Eng. 15:4 (1991), 255–272.
    • (1991) Comput. Chem. Eng. , vol.15 , Issue.4 , pp. 255-272
    • Sahinidis, N.V.1    Grossmann, I.E.2
  • 53
    • 0029717404 scopus 로고    scopus 로고
    • A simple continuous-time process scheduling formulation and a novel solution algorithm
    • Schilling, G., Pantelides, C.C., A simple continuous-time process scheduling formulation and a novel solution algorithm. Comput. Chem. Eng. 20 (1996), S1221–S1226.
    • (1996) Comput. Chem. Eng. , vol.20 , pp. S1221-S1226
    • Schilling, G.1    Pantelides, C.C.2
  • 54
    • 0027545175 scopus 로고
    • A general algorithm for short-term scheduling of batch-operations. 2. Computational issues
    • Shah, N., Pantelides, C.C., Sargent, R.W.H., A general algorithm for short-term scheduling of batch-operations. 2. Computational issues. Comput. Chem. Eng. 17:2 (1993), 229–244.
    • (1993) Comput. Chem. Eng. , vol.17 , Issue.2 , pp. 229-244
    • Shah, N.1    Pantelides, C.C.2    Sargent, R.W.H.3
  • 55
    • 79955549275 scopus 로고    scopus 로고
    • An intuitive and efficient approach to process scheduling with sequence-dependent changeovers using timed automata models
    • Subbiah, S., Schoppmeyer, C., Engell, S., An intuitive and efficient approach to process scheduling with sequence-dependent changeovers using timed automata models. Ind. Eng. Chem. Res. 50:9 (2011), 5131–5152.
    • (2011) Ind. Eng. Chem. Res. , vol.50 , Issue.9 , pp. 5131-5152
    • Subbiah, S.1    Schoppmeyer, C.2    Engell, S.3
  • 56
    • 0030164381 scopus 로고    scopus 로고
    • Application of distributed computing to batch plant design and scheduling
    • Subrahmanyam, S., Kudva, G.K., Bassett, H.H., Pekny, J.F., Application of distributed computing to batch plant design and scheduling. AIChE J. 42:6 (1996), 1648–1661.
    • (1996) AIChE J. , vol.42 , Issue.6 , pp. 1648-1661
    • Subrahmanyam, S.1    Kudva, G.K.2    Bassett, H.H.3    Pekny, J.F.4
  • 57
    • 15344346066 scopus 로고    scopus 로고
    • A simpler better slot-based continuous-time formulation for short-term scheduling in multipurpose batch plants
    • Sundaramoorthy, A., Karimi, I.A., A simpler better slot-based continuous-time formulation for short-term scheduling in multipurpose batch plants. Chem. Eng. Sci. 60:10 (2005), 2679–2702.
    • (2005) Chem. Eng. Sci. , vol.60 , Issue.10 , pp. 2679-2702
    • Sundaramoorthy, A.1    Karimi, I.A.2
  • 58
    • 41749109623 scopus 로고    scopus 로고
    • Simultaneous batching and scheduling in multistage multiproduct processes
    • Sundaramoorthy, A., Maravelias, C.T., Simultaneous batching and scheduling in multistage multiproduct processes. Ind. Eng. Chem. Res. 47:5 (2008), 1546–1555.
    • (2008) Ind. Eng. Chem. Res. , vol.47 , Issue.5 , pp. 1546-1555
    • Sundaramoorthy, A.1    Maravelias, C.T.2
  • 59
    • 51849108013 scopus 로고    scopus 로고
    • Modeling of storage in batching and scheduling of multistage processes
    • Sundaramoorthy, A., Maravelias, C.T., Modeling of storage in batching and scheduling of multistage processes. Ind. Eng. Chem. Res. 47:17 (2008), 6648–6660.
    • (2008) Ind. Eng. Chem. Res. , vol.47 , Issue.17 , pp. 6648-6660
    • Sundaramoorthy, A.1    Maravelias, C.T.2
  • 60
    • 79551710495 scopus 로고    scopus 로고
    • A general framework for process scheduling
    • Sundaramoorthy, A., Maravelias, C.T., A general framework for process scheduling. AIChE J. 57:3 (2011), 695–710.
    • (2011) AIChE J. , vol.57 , Issue.3 , pp. 695-710
    • Sundaramoorthy, A.1    Maravelias, C.T.2
  • 61
    • 79955536361 scopus 로고    scopus 로고
    • Computational study of network-based mixed-integer programming approaches for chemical production scheduling
    • Sundaramoorthy, A., Maravelias, C.T., Computational study of network-based mixed-integer programming approaches for chemical production scheduling. Ind. Eng. Chem. Res. 50:9 (2011), 5023–5040.
    • (2011) Ind. Eng. Chem. Res. , vol.50 , Issue.9 , pp. 5023-5040
    • Sundaramoorthy, A.1    Maravelias, C.T.2
  • 62
    • 77955820606 scopus 로고    scopus 로고
    • A novel approach to scheduling multipurpose batch plants using unit-slots
    • Susarla, N., Li, J., Karimi, I.A., A novel approach to scheduling multipurpose batch plants using unit-slots. AIChE J. 56:7 (2010), 1859–1879.
    • (2010) AIChE J. , vol.56 , Issue.7 , pp. 1859-1879
    • Susarla, N.1    Li, J.2    Karimi, I.A.3
  • 63
    • 84875778960 scopus 로고    scopus 로고
    • Multiple and nonuniform time grids in discrete-time MIP models for chemical production scheduling
    • Velez, S., Maravelias, C.T., Multiple and nonuniform time grids in discrete-time MIP models for chemical production scheduling. Comput. Chem. Eng. 53 (2013), 70–85.
    • (2013) Comput. Chem. Eng. , vol.53 , pp. 70-85
    • Velez, S.1    Maravelias, C.T.2
  • 64
    • 84874902668 scopus 로고    scopus 로고
    • Mixed-integer programming model and tightening methods for scheduling in general chemical production environments
    • Velez, S., Maravelias, C.T., Mixed-integer programming model and tightening methods for scheduling in general chemical production environments. Ind. Eng. Chem. Res. 52:9 (2013), 3407–3423.
    • (2013) Ind. Eng. Chem. Res. , vol.52 , Issue.9 , pp. 3407-3423
    • Velez, S.1    Maravelias, C.T.2
  • 65
    • 84875000745 scopus 로고    scopus 로고
    • Reformulations and branching methods for mixed-integer programming chemical production scheduling models
    • Velez, S., Maravelias, C.T., Reformulations and branching methods for mixed-integer programming chemical production scheduling models. Ind. Eng. Chem. Res. 52:10 (2013), 3832–3841.
    • (2013) Ind. Eng. Chem. Res. , vol.52 , Issue.10 , pp. 3832-3841
    • Velez, S.1    Maravelias, C.T.2
  • 66
    • 84877663545 scopus 로고    scopus 로고
    • A branch-and-bound algorithm for the solution of chemical production scheduling MIP models using parallel computing
    • Velez, S., Maravelias, C.T., A branch-and-bound algorithm for the solution of chemical production scheduling MIP models using parallel computing. Comput. Chem. Eng. 55:0 (2013), 28–39.
    • (2013) Comput. Chem. Eng. , vol.55 , pp. 28-39
    • Velez, S.1    Maravelias, C.T.2
  • 67
    • 85079958668 scopus 로고    scopus 로고
    • Theoretical framework for formulating MIP scheduling models with multiple and non-uniform discrete-time grids
    • Velez, S., Maravelias, C.T., Theoretical framework for formulating MIP scheduling models with multiple and non-uniform discrete-time grids. Comput. Chem. Eng.(0), 2014.
    • (2014) Comput. Chem. Eng.
    • Velez, S.1    Maravelias, C.T.2
  • 68
    • 84902470295 scopus 로고    scopus 로고
    • Advances in mixed-integer programming methods for chemical production scheduling
    • Velez, S., Maravelias, C.T., Advances in mixed-integer programming methods for chemical production scheduling. Annu. Rev. Chem. Biomol. Eng. 5:1 (2014), 97–121.
    • (2014) Annu. Rev. Chem. Biomol. Eng. , vol.5 , Issue.1 , pp. 97-121
    • Velez, S.1    Maravelias, C.T.2
  • 69
    • 84908287569 scopus 로고    scopus 로고
    • Theoretical framework for formulating MIP scheduling models with multiple and non-uniform discrete-time grids
    • Velez, S., Maravelias, C.T., Theoretical framework for formulating MIP scheduling models with multiple and non-uniform discrete-time grids. Comput. Chem. Eng. 72:0 (2015), 233–254.
    • (2015) Comput. Chem. Eng. , vol.72 , pp. 233-254
    • Velez, S.1    Maravelias, C.T.2
  • 70
    • 84874546620 scopus 로고    scopus 로고
    • Valid inequalities based on demand propagation for chemical production scheduling MIP models
    • Velez, S., Sundaramoorthy, A., Maravelias, C.T., Valid inequalities based on demand propagation for chemical production scheduling MIP models. AIChE J. 59:3 (2013), 872–887.
    • (2013) AIChE J. , vol.59 , Issue.3 , pp. 872-887
    • Velez, S.1    Sundaramoorthy, A.2    Maravelias, C.T.3
  • 71
    • 84861209435 scopus 로고    scopus 로고
    • Improved three-index unit-specific event-based model for short-term scheduling of batch plants
    • Vooradi, R., Shaik, M.A., Improved three-index unit-specific event-based model for short-term scheduling of batch plants. Comput. Chem. Eng. 43 (2012), 148–172.
    • (2012) Comput. Chem. Eng. , vol.43 , pp. 148-172
    • Vooradi, R.1    Shaik, M.A.2
  • 72
    • 79951983180 scopus 로고    scopus 로고
    • Three-index model for Westenberger–Kallrath benchmark scheduling problem
    • Vooradi, R., Shaik, M.A., Gupta, N.M., Three-index model for Westenberger–Kallrath benchmark scheduling problem. AIP Conf. Proc. 1298 (2010), 380–385.
    • (2010) AIP Conf. Proc. , vol.1298 , pp. 380-385
    • Vooradi, R.1    Shaik, M.A.2    Gupta, N.M.3
  • 73
    • 27144481074 scopus 로고    scopus 로고
    • Hybridizing discrete- and continuous-time models for batch sizing and scheduling problems
    • Wang, S., Guignard, M., Hybridizing discrete- and continuous-time models for batch sizing and scheduling problems. Comput. Oper. Res. 33:4 (2006), 971–993.
    • (2006) Comput. Oper. Res. , vol.33 , Issue.4 , pp. 971-993
    • Wang, S.1    Guignard, M.2
  • 74
    • 0041805288 scopus 로고    scopus 로고
    • Decomposition approaches for the efficient solution of short-term scheduling problems
    • Wu, D., Ierapetritou, M.G., Decomposition approaches for the efficient solution of short-term scheduling problems. Comput. Chem. Eng. 27:8-9 (2003), 1261–1276.
    • (2003) Comput. Chem. Eng. , vol.27 , Issue.8-9 , pp. 1261-1276
    • Wu, D.1    Ierapetritou, M.G.2
  • 75
    • 0000965083 scopus 로고    scopus 로고
    • Improving the efficiency of discrete time scheduling formulation
    • Suppl. 1
    • Yee, K.L., Shah, N., Improving the efficiency of discrete time scheduling formulation. Comput. Chem. Eng. 22:0 (1998), S403–S410 Suppl. 1.
    • (1998) Comput. Chem. Eng. , vol.22 , pp. S403-S410
    • Yee, K.L.1    Shah, N.2
  • 76
    • 0030174820 scopus 로고    scopus 로고
    • The optimal operation of mixed production facilities—a general formulation and some approaches for the solution
    • Zhang, X., Sargent, R.W.H., The optimal operation of mixed production facilities—a general formulation and some approaches for the solution. Comput. Chem. Eng. 20:6-7 (1996), 897–904.
    • (1996) Comput. Chem. Eng. , vol.20 , Issue.6-7 , pp. 897-904
    • Zhang, X.1    Sargent, R.W.H.2


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