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Cyclic Scheduling of Pulp Digesters with Integrated Heating Tasks

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Laboratório Nacional de Energia e Geologia, 1649-038 Lisboa, Portugal
Centro de Processos Químicos, DEQ, Instituto Superior Técnico, 1049-001 Lisboa, Portugal
Cite this: Ind. Eng. Chem. Res. 2014, 53, 44, 17098–17111
Publication Date (Web):January 28, 2014
https://doi.org/10.1021/ie403822z
Copyright © 2014 American Chemical Society

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    Abstract

    This paper addresses a multistage batch plant scheduling problem under energy constraints. These reflect the limited availability of a thermal heating utility that is shared among parallel digesters of different capacities for the production of pulp. Depending on the processing sequence, more or less steam will be available for a given digester, which will affect the duration of its heating stage and the overall cycle time. Such integrated heating tasks resemble direct heat integration, which has been addressed through models based on generic frameworks for process representation (e.g., State-Task Network, Resource-Task Network, State-Sequence Network) and relying on a single time grid, either discrete or continuous. A new multiple time grid continuous-time model is now proposed where the complex energy constraints are derived from the higher level modeling framework that is Generalized Disjunctive Programming. The results show a considerable better performance compared to RTN discrete and continuous-time formulations, due to a substantially lower integrality gap and model size.

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    Cited By

    This article is cited by 16 publications.

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    3. Pedro M. Castro . Optimal Scheduling of Multiproduct Pipelines in Networks with Reversible Flow. Industrial & Engineering Chemistry Research 2017, 56 (34) , 9638-9656. https://doi.org/10.1021/acs.iecr.7b01685
    4. Hector D. Perez, Ignacio E. Grossmann. Extensions to generalized disjunctive programming: hierarchical structures and first-order logic. Optimization and Engineering 2024, 25 (2) , 959-998. https://doi.org/10.1007/s11081-023-09831-x
    5. Alexandros Koulouris, Georgios P. Georgiadis. An exact algorithm for calculating the minimum and feasible ranges of cycle time in periodic scheduling with shared resources. Computers & Chemical Engineering 2023, 175 , 108286. https://doi.org/10.1016/j.compchemeng.2023.108286
    6. Pedro M. Castro, Ignacio E. Grossmann, Qi Zhang. Expanding scope and computational challenges in process scheduling. Computers & Chemical Engineering 2018, 114 , 14-42. https://doi.org/10.1016/j.compchemeng.2018.01.020
    7. Pedro M. Castro, Iiro Harjunkoski, Ignacio E. Grossmann. Expanding RTN discrete-time scheduling formulations to preemptive tasks. 2018, 1225-1230. https://doi.org/10.1016/B978-0-444-64241-7.50199-3
    8. Pedro M. Castro, Hossein Mostafaei. Product-centric continuous-time formulation for pipeline scheduling. Computers & Chemical Engineering 2017, 104 , 283-295. https://doi.org/10.1016/j.compchemeng.2017.04.023
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    11. Jane D. Stamp, Thokozani Majozi. Long-term heat integration in multipurpose batch plants using heat storage. Journal of Cleaner Production 2017, 142 , 1492-1509. https://doi.org/10.1016/j.jclepro.2016.11.155
    12. Hossein Mostafaei, Pedro M. Castro, Alireza Ghaffari-Hadigheh. Short-term scheduling of multiple source pipelines with simultaneous injections and deliveries. Computers & Operations Research 2016, 73 , 27-42. https://doi.org/10.1016/j.cor.2016.03.006
    13. Pedro M. Castro. Improving Energy Efficiency in Batch Plants Through Direct Heat Integration. 2016, 341-362. https://doi.org/10.1007/978-3-319-28752-2_12
    14. Pedro M. Castro, Inês Marques. Operating room scheduling with Generalized Disjunctive Programming. Computers & Operations Research 2015, 64 , 262-273. https://doi.org/10.1016/j.cor.2015.06.002
    15. Pedro M. Castro, Bruno Custódio, Henrique A. Matos. Optimal scheduling of single stage batch plants with direct heat integration. Computers & Chemical Engineering 2015, 82 , 172-185. https://doi.org/10.1016/j.compchemeng.2015.07.006
    16. Pedro M. Castro, Bruno Custódio, Henrique A. Matos. A Continuous-time MILP Model for Direct Heat Integration in Batch Plants. 2015, 1961-1966. https://doi.org/10.1016/B978-0-444-63576-1.50021-2

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