메뉴 건너뛰기




Volumn 59, Issue 12, 2013, Pages 4461-4467

Tightening methods for continuous-time mixed-integer programming models for chemical production scheduling

Author keywords

Demand propagation; Mixed integer programming; Valid inequalities

Indexed keywords

CHEMICAL PRODUCTION SCHEDULING; COMPUTATIONAL TIME; CONTINUOUS TIME MODELS; DEMAND PROPAGATION; EFFECTIVE SOLUTION; MIXED-INTEGER PROGRAMMING; THREE ORDERS OF MAGNITUDE; VALID INEQUALITY;

EID: 84887622375     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.14249     Document Type: Article
Times cited : (17)

References (38)
  • 1
    • 33748102266 scopus 로고    scopus 로고
    • State-of-the-art review of optimization methods for short-term scheduling of batch processes
    • Mendez CA, Cerda J, Grossmann IE, Harjunkoski I, Fahl M. State-of-the-art review of optimization methods for short-term scheduling of batch processes. Comput Chem Eng. 2006;30(6-7):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
  • 2
    • 84860610233 scopus 로고    scopus 로고
    • General framework and modeling approach classification for chemical production scheduling
    • Maravelias CT. General framework and modeling approach classification for chemical production scheduling. AIChE J. 2012;58(6):1812-1828.
    • (2012) AIChE J. , vol.58 , Issue.6 , pp. 1812-1828
    • Maravelias, C.T.1
  • 3
    • 0027545176 scopus 로고
    • A general algorithm for short-term scheduling of batch-operations.1. Milp Formulation
    • Kondili E, Pantelides CC, Sargent RWH. A general algorithm for short-term scheduling of batch-operations.1. Milp Formulation. Comput Chem Eng. 1993;17(2):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
  • 4
    • 0027545175 scopus 로고
    • A general algorithm for short-term scheduling of batch-operations.2. Computational issues
    • Shah N, Pantelides CC, Sargent RWH. A general algorithm for short-term scheduling of batch-operations.2. Computational issues. Comput Chem Eng. 1993;17(2):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
  • 5
    • 84887624870 scopus 로고
    • Unified Frameworks for Optimal Process Planning and Scheduling. Paper presented at: 2nd Conference on Foundations of Computer Aided Process Operations; 1994, Snowmass, CO.
    • Pantelides CC. Unified Frameworks for Optimal Process Planning and Scheduling. Paper presented at: 2nd Conference on Foundations of Computer Aided Process Operations; 1994, 1994; Snowmass, CO.
    • (1994)
    • Pantelides, C.C.1
  • 6
    • 0029717404 scopus 로고    scopus 로고
    • A simple continuous-time process scheduling formulation and a novel solution algorithm
    • Schilling G, Pantelides CC. A simple continuous-time process scheduling formulation and a novel solution algorithm. Comput Chem Eng. 1996;20:S1221-S1226.
    • (1996) Comput Chem Eng. , vol.20
    • Schilling, G.1    Pantelides, C.C.2
  • 7
    • 0032216021 scopus 로고    scopus 로고
    • Effective continuous-time formulation for short-term scheduling. 1. Multipurpose batch processes
    • Ierapetritou MG, Floudas CA. Effective continuous-time formulation for short-term scheduling. 1. Multipurpose batch processes. Ind Eng Chem Res. 1998;37(11):4341-4359.
    • (1998) Ind Eng Chem Res. , vol.37 , Issue.11 , pp. 4341-4359
    • Ierapetritou, M.G.1    Floudas, C.A.2
  • 8
    • 0033037070 scopus 로고    scopus 로고
    • Continuous time representation approach to batch and continuous process scheduling. 2. Computational issues
    • Mockus L, Reklaitis GV. Continuous time representation approach to batch and continuous process scheduling. 2. Computational issues. Ind Eng Chem Res. 1999;38(1):204-210.
    • (1999) Ind Eng Chem Res. , vol.38 , Issue.1 , pp. 204-210
    • Mockus, L.1    Reklaitis, G.V.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 APFD, Matos H. An improved RTN continuous-time formulation for the short-term scheduling of multipurpose batch plants. Ind Eng Chem Res. 2001;40(9):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
    • 0037092994 scopus 로고    scopus 로고
    • A novel event-driven formulation for short-term scheduling of multipurpose continuous processes
    • Giannelos NF, Georgiadis MC. A novel event-driven formulation for short-term scheduling of multipurpose continuous processes. Ind Eng Chem Res. 2002;41(10):2431-2439.
    • (2002) Ind Eng Chem Res. , vol.41 , Issue.10 , pp. 2431-2439
    • Giannelos, N.F.1    Georgiadis, M.C.2
  • 11
    • 0344063349 scopus 로고    scopus 로고
    • Minimization of the makespan with a discrete-time state-task network formulation
    • Maravelias CT, Grossmann IE. Minimization of the makespan with a discrete-time state-task network formulation. Ind Eng Chem Res. 2003;42(24):6252-6257.
    • (2003) Ind Eng Chem Res. , vol.42 , Issue.24 , pp. 6252-6257
    • Maravelias, C.T.1    Grossmann, I.E.2
  • 12
    • 0037635200 scopus 로고    scopus 로고
    • New general continuous-time state-task network formulation for short-term scheduling of multipurpose batch plants
    • Maravelias CT, Grossmann IE. New general continuous-time state-task network formulation for short-term scheduling of multipurpose batch plants. Ind Eng Chem Res. 2003;42(13):3056-3074.
    • (2003) Ind Eng Chem Res. , vol.42 , Issue.13 , pp. 3056-3074
    • Maravelias, C.T.1    Grossmann, I.E.2
  • 13
    • 29144475374 scopus 로고    scopus 로고
    • Mixed-time representation for state-task network models
    • Maravelias CT. Mixed-time representation for state-task network models. Ind Eng Chem Res. 2005;44(24):9129-9145.
    • (2005) Ind Eng Chem Res. , vol.44 , Issue.24 , pp. 9129-9145
    • Maravelias, C.T.1
  • 14
    • 15344346066 scopus 로고    scopus 로고
    • A simpler better slot-based continuous-time formulation for short-term scheduling in multipurpose batch plants
    • Sundaramoorthy A, Karimi IA. A simpler better slot-based continuous-time formulation for short-term scheduling in multipurpose batch plants. Chem Eng Sci. 2005;60(10):2679-2702.
    • (2005) Chem Eng Sci. , vol.60 , Issue.10 , pp. 2679-2702
    • Sundaramoorthy, A.1    Karimi, I.A.2
  • 15
    • 0042233383 scopus 로고    scopus 로고
    • Design of multipurpose plants using the resource-task network unified framework
    • BarbosaPovoa APFD, Pantelides CC. Design of multipurpose plants using the resource-task network unified framework. Comput Chem Eng. 1997;21:S703-S708.
    • (1997) Comput Chem Eng. , vol.21
    • BarbosaPovoa, A.P.F.D.1    Pantelides, C.C.2
  • 16
    • 67651092136 scopus 로고    scopus 로고
    • A novel network-based continuous-time representation for process scheduling: Part I. Main concepts and mathematical formulation
    • Gimenez DM, Henning GP, Maravelias CT. A novel network-based continuous-time representation for process scheduling: Part I. Main concepts and mathematical formulation. Comput Chem Eng. 2009;33(9):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
  • 17
    • 68549088725 scopus 로고    scopus 로고
    • A novel network-based continuous-time representation for process scheduling: Part II. General framework
    • Gimenez DM, Henning GP, Maravelias CT. A novel network-based continuous-time representation for process scheduling: Part II. General framework. Comput Chem Eng. 2009;33(10):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
  • 18
    • 84976518397 scopus 로고    scopus 로고
    • Multi-product inventory logistics modeling in the process industries
    • Chaovalitwongse W, Furman KC, Pardalos PM, eds. New York: Springer
    • Kelly JD, Zyngier D. Multi-product inventory logistics modeling in the process industries In: Chaovalitwongse W, Furman KC, Pardalos PM, eds. Optimization and Logistics Challenges in the Enterprise. New York: Springer; 2009:61-95.
    • (2009) Optimization and Logistics Challenges in the Enterprise , pp. 61-95
    • Kelly, J.D.1    Zyngier, D.2
  • 19
    • 79551710495 scopus 로고    scopus 로고
    • A general framework for process scheduling
    • Sundaramoorthy A, Maravelias CT. A general framework for process scheduling. AIChE J. 2011;57(3):695-710.
    • (2011) AIChE J. , vol.57 , Issue.3 , pp. 695-710
    • Sundaramoorthy, A.1    Maravelias, C.T.2
  • 20
    • 70249129347 scopus 로고    scopus 로고
    • Polyhedral results for discrete-time production planning MIP formulations for continuous processes
    • Maravelias CT, Papalamprou K. Polyhedral results for discrete-time production planning MIP formulations for continuous processes. Comput Chem Eng. 2009;33(11):1890-1904.
    • (2009) Comput Chem Eng. , vol.33 , Issue.11 , pp. 1890-1904
    • Maravelias, C.T.1    Papalamprou, K.2
  • 21
    • 84857444291 scopus 로고    scopus 로고
    • On the combinatorial structure of discrete-time MIP formulations for chemical production scheduling
    • Maravelias CT. On the combinatorial structure of discrete-time MIP formulations for chemical production scheduling. Comput Chem Eng. 2012;38:204-212.
    • (2012) Comput Chem Eng. , vol.38 , pp. 204-212
    • Maravelias, C.T.1
  • 22
    • 0030417871 scopus 로고    scopus 로고
    • Decomposition techniques for the solution of large-scale scheduling problems
    • Bassett MH, Pekny JF, Reklaitis GV. Decomposition techniques for the solution of large-scale scheduling problems. AIChE J. 1996;42(12):3373-3387.
    • (1996) AIChE J. , vol.42 , Issue.12 , pp. 3373-3387
    • Bassett, M.H.1    Pekny, J.F.2    Reklaitis, G.V.3
  • 23
    • 0030084421 scopus 로고    scopus 로고
    • Optimal campaign planning scheduling of multipurpose batch semicontinuous plants.2. A mathematical decomposition approach
    • Papageorgiou LG, Pantelides CC. Optimal campaign planning scheduling of multipurpose batch semicontinuous plants.2. A mathematical decomposition approach. Ind Eng Chem Res. 1996;35(2):510-529.
    • (1996) Ind Eng Chem Res. , vol.35 , Issue.2 , pp. 510-529
    • Papageorgiou, L.G.1    Pantelides, C.C.2
  • 24
    • 0037111002 scopus 로고    scopus 로고
    • Decomposition techniques for multistage scheduling problems using mixed-integer and constraint programming methods
    • Harjunkoski I, Grossmann IE. Decomposition techniques for multistage scheduling problems using mixed-integer and constraint programming methods. Comput Chem Eng. 2002;26(11):1533-1552.
    • (2002) Comput Chem Eng. , vol.26 , Issue.11 , pp. 1533-1552
    • Harjunkoski, I.1    Grossmann, I.E.2
  • 25
    • 0041805288 scopus 로고    scopus 로고
    • Decomposition approaches for the efficient solution of short-term scheduling problems
    • Wu D, Ierapetritou MG. Decomposition approaches for the efficient solution of short-term scheduling problems. Comput Chem Eng. 2003;27(8-9):1261-1276.
    • (2003) Comput Chem Eng. , vol.27 , Issue.8-9 , pp. 1261-1276
    • Wu, D.1    Ierapetritou, M.G.2
  • 26
    • 30344468781 scopus 로고    scopus 로고
    • A decomposition framework for the scheduling of single- and multi-stage processes
    • Maravelias CT. A decomposition framework for the scheduling of single- and multi-stage processes. Comput Chem Eng. 2006;30(3):407-420.
    • (2006) Comput Chem Eng. , vol.30 , Issue.3 , pp. 407-420
    • Maravelias, C.T.1
  • 27
    • 78650989260 scopus 로고    scopus 로고
    • Greedy algorithm for scheduling batch plants with sequence-dependent changeovers
    • Castro PM, Harjunkoski I, Grossmann IE. Greedy algorithm for scheduling batch plants with sequence-dependent changeovers. AIChE J. 2011;57(2):373-387.
    • (2011) AIChE J. , vol.57 , Issue.2 , pp. 373-387
    • Castro, P.M.1    Harjunkoski, I.2    Grossmann, I.E.3
  • 28
    • 68749118271 scopus 로고    scopus 로고
    • Simultaneous batching and scheduling using dynamic decomposition on a grid
    • Ferris MC, Maravelias CT, Sundaramoorthy A. Simultaneous batching and scheduling using dynamic decomposition on a grid. INFORMS J Comput Sum 2009;21(3):398-410.
    • (2009) INFORMS J Comput Sum , vol.21 , Issue.3 , pp. 398-410
    • Ferris, M.C.1    Maravelias, C.T.2    Sundaramoorthy, A.3
  • 29
    • 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 CT. A branch-and-bound algorithm for the solution of chemical production scheduling MIP models using parallel computing. Comput Chem Eng. 2013;55(0):28-39.
    • (2013) Comput Chem Eng. , vol.55 , Issue.0 , pp. 28-39
    • Velez, S.1    Maravelias, C.T.2
  • 30
    • 0026143149 scopus 로고
    • Reformulation of multiperiod MILP models for planning and scheduling of chemical processes
    • Sahinidis NV, Grossmann IE. Reformulation of multiperiod MILP models for planning and scheduling of chemical processes. Comput Chem Eng. 1991;15(4):255-272.
    • (1991) Comput Chem Eng. , vol.15 , Issue.4 , pp. 255-272
    • Sahinidis, N.V.1    Grossmann, I.E.2
  • 31
    • 38849197825 scopus 로고    scopus 로고
    • Improving unit-specific event based continuous-time approaches for batch processes: Integrality gap and task splitting
    • Janak SL, Floudas CA. Improving unit-specific event based continuous-time approaches for batch processes: Integrality gap and task splitting. Comput Chem Eng. 2008;32(4-5):913-955.
    • (2008) Comput Chem Eng. , vol.32 , Issue.4-5 , pp. 913-955
    • Janak, S.L.1    Floudas, C.A.2
  • 32
    • 84875000745 scopus 로고    scopus 로고
    • Reformulations and branching methods for mixed-integer programming chemical production scheduling models
    • 2013;
    • Velez S, Maravelias CT. Reformulations and branching methods for mixed-integer programming chemical production scheduling models. Ind Eng Chem Res. 2013;52(10):3832-3841.
    • Ind Eng Chem Res. , vol.52 , Issue.10 , pp. 3832-3841
    • Velez, S.1    Maravelias, C.T.2
  • 33
    • 22944446817 scopus 로고    scopus 로고
    • Review, extensions and computational comparison of MILP formulations for scheduling of batch processes
    • Burkard RE, Hatzl J. Review, extensions and computational comparison of MILP formulations for scheduling of batch processes. Comput Chem Eng. 2005;29(8):1752-1769.
    • (2005) Comput Chem Eng. , vol.29 , Issue.8 , pp. 1752-1769
    • Burkard, R.E.1    Hatzl, J.2
  • 34
    • 50549092936 scopus 로고    scopus 로고
    • A tighter continuous time formulation for the cyclic scheduling of a mixed plant
    • Pochet Y, Warichet F. A tighter continuous time formulation for the cyclic scheduling of a mixed plant. Comput Chem Eng. 2008;32(11):2723-2744.
    • (2008) Comput Chem Eng. , vol.32 , Issue.11 , pp. 2723-2744
    • Pochet, Y.1    Warichet, F.2
  • 35
    • 84874902668 scopus 로고    scopus 로고
    • Mixed-integer programming model and tightening methods for scheduling in general chemical production environments
    • Velez S, Maravelias CT. Mixed-integer programming model and tightening methods for scheduling in general chemical production environments. Ind Eng Chem Res. 2013;52(9):3407-3423.
    • (2013) Ind Eng Chem Res. , vol.52 , Issue.9 , pp. 3407-3423
    • Velez, S.1    Maravelias, C.T.2
  • 36
    • 84874546620 scopus 로고    scopus 로고
    • Valid inequalities based on demand propagation for chemical production scheduling MIP models
    • Velez S, Sundaramoorthy A, Maravelias CT. Valid inequalities based on demand propagation for chemical production scheduling MIP models. AIChE J. 2013;59(3):872-887.
    • (2013) AIChE J. , vol.59 , Issue.3 , pp. 872-887
    • Velez, S.1    Sundaramoorthy, A.2    Maravelias, C.T.3
  • 37
    • 79955536361 scopus 로고    scopus 로고
    • Computational study of network-based mixed-integer programming approaches for chemical production scheduling
    • Sundaramoorthy A, Maravelias CT. Computational study of network-based mixed-integer programming approaches for chemical production scheduling. Ind Eng Chem Res. 2011;50(9):5023-5040.
    • (2011) Ind Eng Chem Res. , vol.50 , Issue.9 , pp. 5023-5040
    • Sundaramoorthy, A.1    Maravelias, C.T.2
  • 38
    • 0030085944 scopus 로고    scopus 로고
    • Optimal campaign planning scheduling of multipurpose batch semicontinuous plants.1. Mathematical formulation
    • Papageorgiou LG, Pantelides CC. Optimal campaign planning scheduling of multipurpose batch semicontinuous plants.1. Mathematical formulation. Ind Eng Chem Res. 1996;35(2):488-509.
    • (1996) Ind Eng Chem Res. , vol.35 , Issue.2 , pp. 488-509
    • Papageorgiou, L.G.1    Pantelides, C.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.