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Volumn 139, Issue 1, 2005, Pages 131-162

Mixed integer linear programming in process scheduling: Modeling, algorithms, and applications

Author keywords

Branch and bound; Chemical process scheduling; Continuous time model; Discrete time model; Mixed integer linear programming (MILP)

Indexed keywords


EID: 25144491255     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1007/s10479-005-3446-x     Document Type: Article
Times cited : (328)

References (80)
  • 1
    • 0031351620 scopus 로고    scopus 로고
    • Issues in the use, design and evolution of process scheduling and planning systems
    • Applequist, G., O. Samikoglu, J. Pekny, and G. Reklaitis. (1997). "Issues in the Use, Design and Evolution of Process Scheduling and Planning Systems." ISA Transactions 36, 81-121.
    • (1997) ISA Transactions , vol.36 , pp. 81-121
    • Applequist, G.1    Samikoglu, O.2    Pekny, J.3    Reklaitis, G.4
  • 3
    • 0030417871 scopus 로고    scopus 로고
    • Decomposition techniques for the solution of large-scale scheduling problems
    • Bassett, M.H., J.F. Pekny, and G.V. Reklaitis. (1996b). "Decomposition Techniques for the Solution of Large-Scale Scheduling Problems." AIChE Journal 42, 3373-3387.
    • (1996) AIChE Journal , vol.42 , pp. 3373-3387
    • Bassett, M.H.1    Pekny, J.F.2    Reklaitis, G.V.3
  • 5
    • 0032162859 scopus 로고    scopus 로고
    • Continuous-time modeling for short-term scheduling of multipurpose pipeless plants
    • Bok, J. and S.Park. (1998). "Continuous-Time Modeling for Short-Term Scheduling of Multipurpose Pipeless Plants." Industrial & Engineering Chemistry Research 37, 3652-3659.
    • (1998) Industrial & Engineering Chemistry Research , vol.37 , pp. 3652-3659
    • Bok, J.1    Park, S.2
  • 6
    • 0038709760 scopus 로고
    • The schedule-sequencing problem
    • Bowman, E.H. (1959). "The Schedule-Sequencing Problem." Operations Research 7, 621-624.
    • (1959) Operations Research , vol.7 , pp. 621-624
    • Bowman, E.H.1
  • 7
    • 0037106297 scopus 로고    scopus 로고
    • Makespan minimization for chemical batch processes using non-uniform time grids
    • Burkard, R.E., T. Fortuna, and C.A.J. Hurkens. (2002). "Makespan Minimization for Chemical Batch Processes Using Non-Uniform Time Grids." Computers & Chemical Engineering 26, 1321-1332.
    • (2002) Computers & Chemical Engineering , vol.26 , pp. 1321-1332
    • Burkard, R.E.1    Fortuna, T.2    Hurkens, C.A.J.3
  • 8
    • 0035795519 scopus 로고    scopus 로고
    • An improved RTN continuous-time formulation for the short-term scheduling of multipurpose batch plants
    • Castro, P., A.P.F.D. Barbosa-Póvoa, and H. Matos. (2001). "An Improved RTN Continuous-Time Formulation for the Short-Term Scheduling of Multipurpose Batch Plants." Industrial & Engineering Chemistry Research 40, 2059-2068.
    • (2001) Industrial & Engineering Chemistry Research , vol.40 , pp. 2059-2068
    • Castro, P.1    Barbosa-Póvoa, A.P.F.D.2    Matos, H.3
  • 10
    • 0031140322 scopus 로고    scopus 로고
    • A mixed-integer linear programming model for short-term scheduling of single-stage multiproduct batch plants with parallel lines
    • Cerdá, J., G.P. Henning, and I.E. Grossmann. (1997). "A Mixed-Integer Linear Programming Model for Short-Term Scheduling of Single-Stage Multiproduct Batch Plants with Parallel Lines." Industrial & Engineering Chemistry Research 36, 1695-1707.
    • (1997) Industrial & Engineering Chemistry Research , vol.36 , pp. 1695-1707
    • Cerdá, J.1    Henning, G.P.2    Grossmann, I.E.3
  • 11
    • 0029231167 scopus 로고
    • Optimal short-term scheduling of maintenance and production for multipurpose plants
    • Dedopoulos, LT. and N. Shah. (1995). "Optimal Short-Term Scheduling of Maintenance and Production for Multipurpose Plants." Industrial & Engineering Chemistry Research 34, 192-201.
    • (1995) Industrial & Engineering Chemistry Research , vol.34 , pp. 192-201
    • Dedopoulos, L.T.1    Shah, N.2
  • 12
    • 0000685021 scopus 로고    scopus 로고
    • RTN-based rolling horizon algorithms for medium term scheduling of multipurpose plants
    • Dimitriadis, A.D., N. Shah, and C.C. Pantelides. (1997). "RTN-Based Rolling Horizon Algorithms for Medium Term Scheduling of Multipurpose Plants." Computers & Chemical Engineering 21, S1061-S1066.
    • (1997) Computers & Chemical Engineering , vol.21
    • Dimitriadis, A.D.1    Shah, N.2    Pantelides, C.C.3
  • 13
    • 0031654034 scopus 로고    scopus 로고
    • Structured valid inequalities and separation in optimal scheduling of the resource-constrained batch chemical plant
    • Elkamel, A. and G. Al-Enezi. (1998). "Structured Valid Inequalities and Separation in Optimal Scheduling of the Resource-Constrained Batch Chemical Plant." Mathematical Engineering in Industry 6, 291-318.
    • (1998) Mathematical Engineering in Industry , vol.6 , pp. 291-318
    • Elkamel, A.1    Al-Enezi, G.2
  • 14
    • 0031412922 scopus 로고    scopus 로고
    • A decomposition heuristic for scheduling the general batch chemical plant
    • Elkamel, A., M. Zentner, J.F. Pekny, and G.V. Reklaitis. (1997). "A Decomposition Heuristic for Scheduling the General Batch Chemical Plant." Engineering Optimization 28, 299-330.
    • (1997) Engineering Optimization , vol.28 , pp. 299-330
    • Elkamel, A.1    Zentner, M.2    Pekny, J.F.3    Reklaitis, G.V.4
  • 16
    • 2442583184 scopus 로고    scopus 로고
    • Continuous-time versus discrete-time approaches for scheduling of chemical processes: A review
    • Floudas, C.A. and X. Lin. (2004). "Continuous-Time versus Discrete-Time Approaches for Scheduling of Chemical Processes: A Review." Computers & Chemical Engineering 28, 2109-2129.
    • (2004) Computers & Chemical Engineering , vol.28 , pp. 2109-2129
    • Floudas, C.A.1    Lin, X.2
  • 19
    • 0035340218 scopus 로고    scopus 로고
    • Short-term scheduling and recipe optimization of blending processes
    • Glismann, K. and G. Gruhn. (2001). "Short-Term Scheduling and Recipe Optimization of Blending Processes." Computers & Chemical Engineering 25, 627-634.
    • (2001) Computers & Chemical Engineering , vol.25 , pp. 627-634
    • Glismann, K.1    Gruhn, G.2
  • 20
    • 0016619730 scopus 로고
    • Improved linear integer programming formulations of nonlinear integer problems
    • Glover, F. (1975). "Improved Linear Integer Programming Formulations of Nonlinear Integer Problems." Management Science 22, 455-460.
    • (1975) Management Science , vol.22 , pp. 455-460
    • Glover, F.1
  • 21
    • 0011780681 scopus 로고    scopus 로고
    • Mixed-integer optimization techniques for the design and scheduling of batch processes
    • G. V. Reklaitis, A. K. Sunol, D. W. T. Rippin and O. Hortacsu (ed.), Berlin: Springer
    • Grossmann, I.E., I. Quesada, R. Raman, and V.T. Voudouris. (1996). "Mixed-Integer Optimization Techniques for the Design and Scheduling of Batch Processes." In G. V. Reklaitis, A. K. Sunol, D. W. T. Rippin and O. Hortacsu (ed.), Batch Processing Systems Engineering, Berlin: Springer, pp. 451-494.
    • (1996) Batch Processing Systems Engineering , pp. 451-494
    • Grossmann, I.E.1    Quesada, I.2    Raman, R.3    Voudouris, V.T.4
  • 22
    • 0035890549 scopus 로고    scopus 로고
    • A decomposition approach for the scheduling of a steel plant production
    • Harjunkoski, I. and I.E. Grossmann. (2001). "A Decomposition Approach for the Scheduling of a Steel Plant Production." Computers & Chemical Engineering 25, 1647-1660.
    • (2001) Computers & Chemical Engineering , vol.25 , pp. 1647-1660
    • Harjunkoski, I.1    Grossmann, I.E.2
  • 23
    • 0035851992 scopus 로고    scopus 로고
    • A bi-index continuous-time mixed-integer linear programming model for single-stage batch scheduling with parallel units
    • Hui, C. and A. Gupta. (2001). "A Bi-index Continuous-Time Mixed-Integer Linear Programming Model for Single-Stage Batch Scheduling with Parallel Units." Industrial & Engineering Chemistry Research 40, 5960-5967.
    • (2001) Industrial & Engineering Chemistry Research , vol.40 , pp. 5960-5967
    • Hui, C.1    Gupta, A.2
  • 24
    • 0034387803 scopus 로고    scopus 로고
    • A novel MILP formulation for short-term scheduling of multi-stage multi-product batch plants with sequence-dependent constraints
    • Hui, C., A. Gupta, and H.A.J. van der Meulen. (2000). "A Novel MILP Formulation for Short-Term Scheduling of Multi-Stage Multi-Product Batch Plants with Sequence-Dependent Constraints." Computers & Chemical Engineering 24, 2705-2717.
    • (2000) Computers & Chemical Engineering , vol.24 , pp. 2705-2717
    • Hui, C.1    Gupta, A.2    Van Der Meulen, H.A.J.3
  • 25
    • 0032216021 scopus 로고    scopus 로고
    • Effective continuous-time formulation for short-term scheduling: 1. Multipurpose batch processes
    • Ierapetritou, M.G. and C.A. Floudas. (1998a). "Effective Continuous-Time Formulation for Short-Term Scheduling: 1. Multipurpose Batch Processes." Industrial & Engineering Chemistry Research 37, 4341-4359.
    • (1998) Industrial & Engineering Chemistry Research , vol.37 , pp. 4341-4359
    • Ierapetritou, M.G.1    Floudas, C.A.2
  • 26
    • 0032216046 scopus 로고    scopus 로고
    • Effective continuous-time formulation for short-term scheduling: 2. Continuous and semi-continuous processes
    • Ierapetritou, M.G. and C.A. Floudas. (1998b). "Effective Continuous-Time Formulation for Short-Term Scheduling: 2. Continuous and Semi-Continuous Processes." Industrial & Engineering Chemistry Research 37, 4360-4374.
    • (1998) Industrial & Engineering Chemistry Research , vol.37 , pp. 4360-4374
    • Ierapetritou, M.G.1    Floudas, C.A.2
  • 27
    • 0035980381 scopus 로고    scopus 로고
    • Comments on "an improved RTN continuous-time formulation for the short-term scheduling of multipurpose batch plants"
    • Ierapetritou, M.G. and C.A. Floudas. (2001). Comments on "An Improved RTN Continuous-Time Formulation for the Short-term Scheduling of Multipurpose Batch Plants." Industrial & Engineering Chemistry Research 40, 5040-5041.
    • (2001) Industrial & Engineering Chemistry Research , vol.40 , pp. 5040-5041
    • Ierapetritou, M.G.1    Floudas, C.A.2
  • 28
    • 0032877613 scopus 로고    scopus 로고
    • Effective continuous-time formulation for short-term scheduling: 3. Multiple intermediate due dates
    • Ierapetritou, M.G., T.S. Hené, and C.A. Floudas. (1999). "Effective Continuous-Time Formulation for Short-Term Scheduling: 3. Multiple Intermediate Due Dates." Industrial & Engineering Chemistry Research 38, 3446-3461.
    • (1999) Industrial & Engineering Chemistry Research , vol.38 , pp. 3446-3461
    • Ierapetritou, M.G.1    Hené, T.S.2    Floudas, C.A.3
  • 29
    • 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., X. Lin, and C.A. Floudas. (2004). "Enhanced Continuous-Time Unit-Specific Event-Based Formulation for Short-Term Scheduling of Multipurpose Batch Processes: Resource Constraints and Mixed Storage Policies." Industrial & Engineering Chemistry Research 43, 2516-2533.
    • (2004) Industrial & Engineering Chemistry Research , vol.43 , pp. 2516-2533
    • Janak, S.L.1    Lin, X.2    Floudas, C.A.3
  • 30
    • 0031186347 scopus 로고    scopus 로고
    • Planning and scheduling of parallel semi-continuous processes. 2. Short-term scheduling
    • Karimi, I.A. and C.M. McDonald. (1997). "Planning and Scheduling of Parallel Semi-Continuous Processes. 2. Short-Term Scheduling." Industrial & Engineering Chemistry Research 36, 2701-2714.
    • (1997) Industrial & Engineering Chemistry Research , vol.36 , pp. 2701-2714
    • Karimi, I.A.1    McDonald, C.M.2
  • 32
    • 0027545176 scopus 로고
    • A general algorithm for short-term scheduling of batch operations - I. MILP formulation
    • Kondili, E., C.C. Pantelides, and R.W.H. Sargent. (1993). "A General Algorithm for Short-Term Scheduling of Batch Operations - I. MILP Formulation." Computers & Chemical Engineering 17, 211-227.
    • (1993) Computers & Chemical Engineering , vol.17 , pp. 211-227
    • Kondili, E.1    Pantelides, C.C.2    Sargent, R.W.H.3
  • 33
    • 0024090948 scopus 로고
    • Scheduling in serial multiproduct batch processes with finite inter-stage storage: A mixed integer linear programming formulation
    • Ku, H. and I.A. Karimi. (1988). "Scheduling in Serial Multiproduct Batch Processes with Finite Inter-stage Storage: A Mixed Integer Linear Programming Formulation." Industrial & Engineering Chemistry Research 27, 1840-1848.
    • (1988) Industrial & Engineering Chemistry Research , vol.27 , pp. 1840-1848
    • Ku, H.1    Karimi, I.A.2
  • 34
    • 0037138682 scopus 로고    scopus 로고
    • Scheduling parallel production lines with resource constraints. 1. Model formulation
    • Lamba, N. and I.A. Karimi. (2002a). "Scheduling Parallel Production Lines with Resource Constraints. 1. Model Formulation." Industrial & Engineering Chemistry Research 41, 779-789.
    • (2002) Industrial & Engineering Chemistry Research , vol.41 , pp. 779-789
    • Lamba, N.1    Karimi, I.A.2
  • 35
    • 0037138595 scopus 로고    scopus 로고
    • Scheduling parallel production lines with resource constraints. 2. Decomposition algorithm
    • Lamba, N. and I.A. Karimi. (2002b). "Scheduling Parallel Production Lines with Resource Constraints. 2. Decomposition Algorithm." Industrial & Engineering Chemistry Research 41, 790-800.
    • (2002) Industrial & Engineering Chemistry Research , vol.41 , pp. 790-800
    • Lamba, N.1    Karimi, I.A.2
  • 36
    • 0036138086 scopus 로고    scopus 로고
    • Scheduling of single-stage and continuous processes on parallel lines with intermediate due dates
    • Lee, K., S. Heo, H. Lee, and I. Lee. (2002). "Scheduling of Single-Stage and Continuous Processes on Parallel Lines with Intermediate Due Dates." Industrial & Engineering Chemistry Research 41, 5866.
    • (2002) Industrial & Engineering Chemistry Research , vol.41 , pp. 5866
    • Lee, K.1    Heo, S.2    Lee, H.3    Lee, I.4
  • 37
    • 0035980317 scopus 로고    scopus 로고
    • A novel nonuniform discrete time formulation for short-term scheduling of batch and continuous processes
    • Lee, K., H.I. Park, and I. Lee. (2001). "A Novel Nonuniform Discrete Time Formulation for Short-Term Scheduling of Batch and Continuous Processes." Industrial & Engineering Chemistry Research 40, 4902-4911.
    • (2001) Industrial & Engineering Chemistry Research , vol.40 , pp. 4902-4911
    • Lee, K.1    Park, H.I.2    Lee, I.3
  • 38
    • 0035340986 scopus 로고    scopus 로고
    • Design, synthesis and scheduling of multipurpose batch plants via an effective continuous-time formulation
    • Lin, X. and C.A. Floudas. (2001). "Design, Synthesis and Scheduling of Multipurpose Batch Plants via an Effective Continuous-Time Formulation." Computers & Chemical Engineering 25, 665-674.
    • (2001) Computers & Chemical Engineering , vol.25 , pp. 665-674
    • Lin, X.1    Floudas, C.A.2
  • 39
    • 0037036735 scopus 로고    scopus 로고
    • Continuous-time optimization approach for medium-range production scheduling of a multiproduct batch plant
    • Lin, X., C.A. Floudas, S. Modi, and N.M. Juhasz. (2002). "Continuous-Time Optimization Approach for Medium-Range Production Scheduling of a Multiproduct Batch Plant." Industrial & Engineering Chemistry Research 41, 3884-3906.
    • (2002) Industrial & Engineering Chemistry Research , vol.41 , pp. 3884-3906
    • Lin, X.1    Floudas, C.A.2    Modi, S.3    Juhasz, N.M.4
  • 40
    • 0035852008 scopus 로고    scopus 로고
    • A novel continuous-time MILP formulation for multipurpose batch plants. 1. Short-term scheduling
    • Majozi, T. and X.X. Zhu. (2001). "A Novel Continuous-Time MILP Formulation for Multipurpose Batch Plants. 1. Short-Term Scheduling." Industrial & Engineering Chemistry Research 40, 5935-5949.
    • (2001) Industrial & Engineering Chemistry Research , vol.40 , pp. 5935-5949
    • Majozi, T.1    Zhu, X.X.2
  • 41
    • 0000237789 scopus 로고
    • On the job-shop scheduling problem
    • Manne, A.S. (1960). "On the Job-Shop Scheduling Problem." Operations Research 8, 219-223.
    • (1960) Operations Research , vol.8 , pp. 219-223
    • Manne, A.S.1
  • 42
    • 0037635200 scopus 로고    scopus 로고
    • A new general continuous-time state task network formulation for short-term scheduling of multipurpose batch plants
    • Maravelias, C.T. and I.E. Grossmann. (2003). "A New General Continuous-Time State Task Network Formulation for Short-Term Scheduling of Multipurpose Batch Plants." Industrial & Engineering Chemistry Research 42, 3056-3074.
    • (2003) Industrial & Engineering Chemistry Research , vol.42 , pp. 3056-3074
    • Maravelias, C.T.1    Grossmann, I.E.2
  • 43
    • 0343627890 scopus 로고    scopus 로고
    • Optimal scheduling of a resource-constrained multiproduct batch plant supplying intermediates to nearby end-product facilities
    • Méndez, C.A. and J. Cerdá. (2000a). "Optimal Scheduling of a Resource-Constrained Multiproduct Batch Plant Supplying Intermediates to Nearby End-Product Facilities." Computers & Chemical Engineering 24, 369-376.
    • (2000) Computers & Chemical Engineering , vol.24 , pp. 369-376
    • Méndez, C.A.1    Cerdá, J.2
  • 44
    • 0034307307 scopus 로고    scopus 로고
    • Optimal scheduling of batch plants satisfying multiple product orders with different due-dates
    • Méndez, C.A., G.P. Henning, and J. Cerdá. (2000b). "Optimal Scheduling of Batch Plants Satisfying Multiple Product Orders with Different Due-Dates." Computers & Chemical Engineering 24, 2223-2245.
    • (2000) Computers & Chemical Engineering , vol.24 , pp. 2223-2245
    • Méndez, C.A.1    Henning, G.P.2    Cerdá, J.3
  • 45
    • 0035339828 scopus 로고    scopus 로고
    • An MILP continuous-time approach to short-term scheduling of resource-constrained multistage flowshop batch facilities
    • Méndez, C.A., G.P. Henning, and J. Cerdá. (2001). "An MILP Continuous-Time Approach to Short-Term Scheduling of Resource-Constrained Multistage Flowshop Batch Facilities." Computers & Chemical Engineering 25, 701-711.
    • (2001) Computers & Chemical Engineering , vol.25 , pp. 701-711
    • Méndez, C.A.1    Henning, G.P.2    Cerdá, J.3
  • 47
    • 0031190611 scopus 로고    scopus 로고
    • Mathematical programming formulation for scheduling of batch operations based on nonuniform time discretization
    • Mockus, L. and G.V. Reklaitis. (1997). "Mathematical Programming Formulation for Scheduling of Batch Operations Based on Nonuniform Time Discretization." Computers & Chemical Engineering 21, 1147-1156.
    • (1997) Computers & Chemical Engineering , vol.21 , pp. 1147-1156
    • Mockus, L.1    Reklaitis, G.V.2
  • 48
    • 0032997426 scopus 로고    scopus 로고
    • Continuous time representation approach to batch and continuous process scheduling. 1. MINLP formulation
    • Mockus, L. and G.V. Reklaitis. (1999a). "Continuous Time Representation Approach to Batch and Continuous Process Scheduling. 1. MINLP Formulation." Industrial & Engineering Chemistry Research 38, 197-203.
    • (1999) Industrial & Engineering Chemistry Research , vol.38 , pp. 197-203
    • Mockus, L.1    Reklaitis, G.V.2
  • 49
    • 0033037070 scopus 로고    scopus 로고
    • Continuous time representation approach to batch and continuous process scheduling. 2. Computational issues
    • Mockus, L. and G.V. Reklaitis. (1999b). "Continuous Time Representation Approach to Batch and Continuous Process Scheduling. 2. Computational Issues." Industrial & Engineering Chemistry Research 38, 204-210.
    • (1999) Industrial & Engineering Chemistry Research , vol.38 , pp. 204-210
    • Mockus, L.1    Reklaitis, G.V.2
  • 50
    • 0032940278 scopus 로고    scopus 로고
    • Mixed-integer linear programming model for short-term scheduling of a special class of multipurpose batch plants
    • Moon, S. and A.N. Hrymak. (1999). "Mixed-Integer Linear Programming Model for Short-Term Scheduling of a Special Class of Multipurpose Batch Plants." Industrial & Engineering Chemistry Research 38, 2144-2150.
    • (1999) Industrial & Engineering Chemistry Research , vol.38 , pp. 2144-2150
    • Moon, S.1    Hrymak, A.N.2
  • 51
    • 0030257561 scopus 로고    scopus 로고
    • New MILP models for scheduling of multiproduct batch plants under zero-wait policy
    • Moon, S., S. Park, and W.K. Lee. (1996). "New MILP Models for Scheduling of Multiproduct Batch Plants under Zero-Wait Policy." Industrial & Engineering Chemistry Research 35, 3458-3469.
    • (1996) Industrial & Engineering Chemistry Research , vol.35 , pp. 3458-3469
    • Moon, S.1    Park, S.2    Lee, W.K.3
  • 53
    • 0035869053 scopus 로고    scopus 로고
    • General continuous time models for production planning and scheduling of batch processing plants: Mixed integer linear program formulations and computational issues
    • Orçun, S., I.K., Altinel, and Ö Hortaçsu. (2001). "General Continuous Time Models for Production Planning and Scheduling of Batch Processing Plants: Mixed Integer Linear Program Formulations and Computational Issues." Computers & Chemical Engineering 25, 371-389.
    • (2001) Computers & Chemical Engineering , vol.25 , pp. 371-389
    • Orçun, S.1    Altinel, I.K.2    Hortaçsu, Ö.3
  • 56
    • 0002259729 scopus 로고
    • Learning to solve process scheduling problems: The role of rigorous knowledge acquisition frameworks
    • D.W.T. Rippin, J.C. Hale, and J. Davis (eds.), Crested Butte, Colorado
    • Pekny, J.F. and M.G. Zentner. (1993). "Learning to Solve Process Scheduling Problems: The Role of Rigorous Knowledge Acquisition Frameworks." In D.W.T. Rippin, J.C. Hale, and J. Davis (eds.), Proceedings of the Second International Conference on Foundations of Computer-Aided Process Operations, Crested Butte, Colorado, pp. 275-309.
    • (1993) Proceedings of the Second International Conference on Foundations of Computer-aided Process Operations , pp. 275-309
    • Pekny, J.F.1    Zentner, M.G.2
  • 57
    • 0001690679 scopus 로고
    • A continuous time mixed integer linear programming model for short term scheduling of multistage batch plants
    • Pinto, J.M. and I.E. Grossmann. (1995). "A Continuous Time Mixed Integer Linear Programming Model for Short Term Scheduling of Multistage Batch Plants." Industrial & Engineering Chemistry Research 34, 3037-3051.
    • (1995) Industrial & Engineering Chemistry Research , vol.34 , pp. 3037-3051
    • Pinto, J.M.1    Grossmann, I.E.2
  • 58
    • 0002584921 scopus 로고    scopus 로고
    • An alternate MILP model for short-term scheduling of batch plants with preordering constraints
    • Pinto, J.M. and I.E. Grossmann. (1996). "An Alternate MILP Model for Short-Term Scheduling of Batch Plants with Preordering Constraints." Industrial & Engineering Chemistry Research 35, 338-342.
    • (1996) Industrial & Engineering Chemistry Research , vol.35 , pp. 338-342
    • Pinto, J.M.1    Grossmann, I.E.2
  • 59
    • 0032386621 scopus 로고    scopus 로고
    • Assignment and sequencing models for the scheduling of process systems
    • Pinto, J.M. and I.E. Grossmann. (1998). "Assignment and Sequencing Models for the Scheduling of Process Systems." Annals of Operations Research 81, 433-466.
    • (1998) Annals of Operations Research , vol.81 , pp. 433-466
    • Pinto, J.M.1    Grossmann, I.E.2
  • 60
    • 0344267658 scopus 로고    scopus 로고
    • STBS: A continuous-time MILP optimization for short-term scheduling of batch plants
    • Pinto, J.M., A. Türkay, B. Bolio, and I.E. Grossmann. (1998). "STBS: A Continuous-Time MILP Optimization for Short-Term Scheduling of Batch Plants." Computers & Chemical Engineering 22, 1297-1308.
    • (1998) Computers & Chemical Engineering , vol.22 , pp. 1297-1308
    • Pinto, J.M.1    Türkay, A.2    Bolio, B.3    Grossmann, I.E.4
  • 61
    • 0014574409 scopus 로고
    • Multiproject scheduling with limited resources: A zero-one programming approach
    • Pritsker, A.A.B., L.J. Watters, and P.M. Wolfe. (1969). "Multiproject Scheduling with Limited Resources: A Zero-One Programming Approach." Management Science 16, 93-108.
    • (1969) Management Science , vol.16 , pp. 93-108
    • Pritsker, A.A.B.1    Watters, L.J.2    Wolfe, P.M.3
  • 63
    • 0027676062 scopus 로고
    • Batch process systems engineering: A retrospective and prospective review
    • Rippin, D.W.T. (1993). "Batch Process Systems Engineering: A Retrospective and Prospective Review." Computers & Chemical Engineering 17, S1-S13.
    • (1993) Computers & Chemical Engineering , vol.17
    • Rippin, D.W.T.1
  • 64
    • 0026143149 scopus 로고
    • Reformulation of multiperiod MILP models for planning and scheduling of chemical processes
    • Sahinidis, N.V. and I.E. Grossmann. (1991b). "Reformulation of Multiperiod MILP Models for Planning and Scheduling of Chemical Processes." Computers & Chemical Engineering 15, 255-272.
    • (1991) Computers & Chemical Engineering , vol.15 , pp. 255-272
    • Sahinidis, N.V.1    Grossmann, I.E.2
  • 66
    • 0029717404 scopus 로고    scopus 로고
    • A simple continuous-time process scheduling formulation and a novel solution algorithm
    • Schilling, G. and C.C. Pantelides. (1996). "A Simple Continuous-Time Process Scheduling Formulation and a Novel Solution Algorithm." Computers & Chemical Engineering 20, S1221-S1226.
    • (1996) Computers & Chemical Engineering , vol.20
    • Schilling, G.1    Pantelides, C.C.2
  • 67
    • 4143152567 scopus 로고    scopus 로고
    • A hybrid branch and bound algorithm for continuous-time process scheduling formulations
    • Chicago, IL, November 1996, Paper 171d
    • Schilling, G. and C.C. Pantelides. (1996b). "A Hybrid Branch and Bound Algorithm for Continuous-Time Process Scheduling Formulations." AIChE 1996 Annual Meeting, Chicago, IL, November 1996, Paper 171d.
    • (1996) AIChE 1996 Annual Meeting
    • Schilling, G.1    Pantelides, C.C.2
  • 69
    • 0027545175 scopus 로고
    • A general algorithm for short-term scheduling of batch operations-II. Computational issues
    • Shah, N., C.C. Pantelides, and R.W.H. Sargent. (1993). "A General Algorithm for Short-Term Scheduling of Batch Operations-II. Computational Issues." Computers & Chemical Engineering 17, 229-244.
    • (1993) Computers & Chemical Engineering , vol.17 , pp. 229-244
    • Shah, N.1    Pantelides, C.C.2    Sargent, R.W.H.3
  • 70
    • 0002500749 scopus 로고
    • A hierarchy of relaxations and convex-hull characterizations for mixed-integer zero-one programming problems
    • Sherali, H.D. and W.P. Adams. (1994). "A Hierarchy of Relaxations and Convex-Hull Characterizations for Mixed-Integer Zero-One Programming Problems." Discrete Applied Mathematics 52, 83-106.
    • (1994) Discrete Applied Mathematics , vol.52 , pp. 83-106
    • Sherali, H.D.1    Adams, W.P.2
  • 71
    • 0036453772 scopus 로고    scopus 로고
    • Redefining event variables for efficient modeling of continuous-time batch processing
    • Wang, S. and M. Guignard. (2002). "Redefining Event Variables for Efficient Modeling of Continuous-Time Batch Processing." Annals of Operations Research 116, 113-126.
    • (2002) Annals of Operations Research , vol.116 , pp. 113-126
    • Wang, S.1    Guignard, M.2
  • 74
    • 0000965083 scopus 로고    scopus 로고
    • Improving the efficiency of discrete time scheduling formulation
    • Yee, K.L. and N. Shah. (1998). "Improving the Efficiency of Discrete Time Scheduling Formulation." Computers & Chemical Engineering 22, S403-S410.
    • (1998) Computers & Chemical Engineering , vol.22
    • Yee, K.L.1    Shah, N.2
  • 75
    • 0034660723 scopus 로고    scopus 로고
    • Optimal operation of quality controlled product storage
    • Yi, G., K. Suh, B. Lee, and E.S. Lee. (2000). "Optimal Operation of Quality Controlled Product Storage." Computers & Chemical Engineering 24, 475-480.
    • (2000) Computers & Chemical Engineering , vol.24 , pp. 475-480
    • Yi, G.1    Suh, K.2    Lee, B.3    Lee, E.S.4
  • 77
    • 0028546642 scopus 로고
    • Practical considerations in using model-based optimization for the scheduling and planning of batch/semicontinuous processes
    • Zentner, M.G., J.F. Pekny, G.V. Reklaitis, and J.N.D. Gupta. (1994). "Practical Considerations in Using Model-Based Optimization for the Scheduling and Planning of Batch/Semicontinuous Processes." Journal of Process Control 4, 259-280.
    • (1994) Journal of Process Control , vol.4 , pp. 259-280
    • Zentner, M.G.1    Pekny, J.F.2    Reklaitis, G.V.3    Gupta, J.N.D.4
  • 79
    • 0030174820 scopus 로고    scopus 로고
    • The optimal operation of mixed production facilities-a general formulation and some solution approaches for the solution
    • Zhang, X. and R.W.H. Sargent. (1996). "The Optimal Operation of Mixed Production Facilities-A General Formulation and Some Solution Approaches for the Solution." Computers & Chemical Engineering 20, 897-904.
    • (1996) Computers & Chemical Engineering , vol.20 , pp. 897-904
    • Zhang, X.1    Sargent, R.W.H.2
  • 80
    • 0344528710 scopus 로고    scopus 로고
    • The optimal operation of mixed production facilities-extensions and improvements
    • Zhang, X. and R.W.H. Sargent. (1998). "The Optimal Operation of Mixed Production Facilities-Extensions and Improvements." Computers & Chemical Engineering 22, 1287-1295.
    • (1998) Computers & Chemical Engineering , vol.22 , pp. 1287-1295
    • Zhang, X.1    Sargent, R.W.H.2


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