A new approach for scheduling of multipurpose batch processes with unlimited intermediate storage policy
Nikolaos Rakovitis, Nan Zhang, Jie Li, Liping Zhang
A new approach for scheduling of multipurpose batch processes with unlimited intermediate storage policy
The increasing demand of goods, the high competitiveness in the global marketplace as well as the need to minimize the ecological footprint lead multipurpose batch process industries to seek ways to maximize their productivity with a simultaneous reduction of raw materials and utility consumption and efficient use of processing units. Optimal scheduling of their processes can lead facilities towards this direction. Although a great number of mathematical models have been developed for such scheduling, they may still lead to large model sizes and computational time. In this work, we develop two novel mathematical models using the unit-specific event-based modelling approach in which consumption and production tasks related to the same states are allowed to take place at the same event points. The computational results demonstrate that both proposed mathematical models reduce the number of event points required. The proposed unit-specific event-based model is the most efficient since it both requires a smaller number of event points and significantly less computational time in most cases especially for those examples which are computationally expensive from existing models.
scheduling / multipurpose batch processes / simultaneous transfer / mixed-integer linear programming
[1] |
Kondili E, Pantelides C C, Sargent R W H. A general algorithm for short-term scheduling of batch operations-I MILP formulation. Computers & Chemical Engineering, 1993, 17(2): 211–227
CrossRef
Google scholar
|
[2] |
Pantelides C. Unified frameworks for optimal process planning and scheduling. Proceedings of the Second Conference on Foundations of Computer Aided Operations, 1994, 253–274
|
[3] |
Floudas C A, Lin X. Continuous-time versus discrete-time approaches for scheduling of chemical processes: A review. Computers & Chemical Engineering, 2004, 28(11): 2109–2129 doi:10.1016/j.compchemeng.2004.05.002
|
[4] |
Méndez C A, Cerdá J, Grossmann I E, Harjukoski I, Fahl M. State-of-the-art review of optimization methods for short-term scheduling of batch processes. Computers & Chemical Engineering, 2006, 30(6-7): 913–946
CrossRef
Google scholar
|
[5] |
Li J, Susarla N, Karimi I A, Shaik M A, Floudas C A. An analysis of some unit-specific event-based models for the short-term scheduling of noncontinuous processes. Industrial & Engineering Chemistry Research, 2010, 49(2): 633–647
CrossRef
Google scholar
|
[6] |
Maravelias C T. General framework and modeling approach classification for chemical production scheduling. AIChE Journal. American Institute of Chemical Engineers, 2012, 58(6): 1812–1828
CrossRef
Google scholar
|
[7] |
Harjunkoski I, Maravelias C, Bongers P, Castro P, Engell S, Grossmann I, Hooker J, Méndez C, Sand G, Wassick J. Scope for industrial application of production scheduling models and solution methods. Computers & Chemical Engineering, 2014, 62(5): 161–193
CrossRef
Google scholar
|
[8] |
Velez S, Maravelias C T. Multiple and nonuniform time grids in discrete-time MIP models for chemical production scheduling. Computers & Chemical Engineering, 2013, 53(11): 70–85
CrossRef
Google scholar
|
[9] |
Lee H, Maravelias C T. Discrete-time mixed integer programming models for short-term scheduling in multipurpose environments. Computers & Chemical Engineering, 2017, 107: 171–183
CrossRef
Google scholar
|
[10] |
Pinto J M, Grossmann I E. A continuous time mixed integer linear programming model for short-term scheduling of multistage batch plants. Industrial & Engineering Chemistry Research, 1995, 34(9): 3037–3051
CrossRef
Google scholar
|
[11] |
Sundaramoorthy A, Karimi I A. A simpler better slot-based continuous-time formulation for short-term scheduling in multipurpose batch plants. Chemical Engineering Science, 2005, 60(10): 2679–2702
CrossRef
Google scholar
|
[12] |
Susarla N, Li J, Karimi I. A novel approach to scheduling multipurpose batch plants using unit-slots. AIChE Journal. American Institute of Chemical Engineers, 2010, 56(7): 1859–1879
CrossRef
Google scholar
|
[13] |
Zhang X, Sargent R W H. The optimal operation of mixed production facilities-A general formulation and some approaches for the solution. Computers & Chemical Engineering, 1996, 20(6-7): 897–904
CrossRef
Google scholar
|
[14] |
Castro P, Barbosa-Póvoa A P F D, Matos H. An improved RTN continuous-time formulation for the short-term scheduling of multipurpose batch plants. Industrial & Engineering Chemistry Research, 2001, 40(9): 2059–2068
CrossRef
Google scholar
|
[15] |
Maravelias C T, Grossmann I E. New general continuous-time state-task network formulation for short-term scheduling of multipurpose batch plants. Industrial & Engineering Chemistry Research, 2003, 42(13): 3056–3074
CrossRef
Google scholar
|
[16] |
Ierapetritou M G, Floudas C A. Effective continuous-time formulation for short-term scheduling. 1. Multipurpose batch processes. Industrial & Engineering Chemistry, 1998, 37(11): 4341–4359
CrossRef
Google scholar
|
[17] |
Li J, Floudas C. Optimal event point determination for short-term scheduling of multipurpose batch plants via unit-specific event-based continuous-time approaches. Industrial & Engineering Chemistry Research, 2010, 49(16): 7446–7469
CrossRef
Google scholar
|
[18] |
Tang Q H, Li J, Floudas C A, Deng M X, Yan Y B, Xi Z H, Chen P H, Kong J Y. Optimization framework for process scheduling of operation-dependent automobile assembly lines. Optimization Letters, 2012, 6(4): 797–824
CrossRef
Google scholar
|
[19] |
Li J, Xiao X, Floudas C A. Integrated gasoline blending and order delivery operations: Part I. Short-term scheduling and global optimization for single and multi-period operations. AIChE Journal. American Institute of Chemical Engineers, 2016, 62(6): 2043–2070
CrossRef
Google scholar
|
[20] |
Méndez C A, Cerdá J. Optimal scheduling of a resource-constrained multiproduct batch plant supplying intermediates to nearby end-product facilities. Computers & Chemical Engineering, 2000, 24(2-7): 369–376
CrossRef
Google scholar
|
[21] |
Hui C, Gupta A, van der Meulen H A J. A novel MILP formulation for short-term scheduling of multi-stage multi-product batch plants with sequence-dependent constraints. Computers & Chemical Engineering, 2000, 24(12): 2705–2717
CrossRef
Google scholar
|
[22] |
Méndez C A, Cerdá J. An MILP continuous-time framework for short-term scheduling of multipurpose batch processes under different operation strategies. Optimization and Engineering, 2003, 4(1-2): 7–22
CrossRef
Google scholar
|
[23] |
Li J, Karimi I A. Scheduling gasoline blending operations from recipe determination to shipping using unit slots. Industrial & Engineering Chemistry Research, 2011, 50(15): 9156–9174
CrossRef
Google scholar
|
[24] |
Shaik M A, Janak S L, Floudas C A. Continuous-time models for short-term scheduling of multipurpose batch plants: A comparative study. Industrial & Engineering Chemistry Research, 2006, 45(18): 6190–6209
CrossRef
Google scholar
|
[25] |
Shaik M, Floudas C. Novel unified modeling approach for short-term scheduling. Industrial & Engineering Chemistry Research, 2009, 48(6): 2947–2964
CrossRef
Google scholar
|
[26] |
Shaik M, Vooradi R. Short-term scheduling of batch plants: Reformulation for handling material transfer at the same event. Industrial & Engineering Chemistry, 2017, 56(39): 11175–11185
CrossRef
Google scholar
|
/
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