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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
Copyright © 2014 American Chemical Society

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    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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    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.
    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.
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    7. Pedro M. Castro, Iiro Harjunkoski, Ignacio E. Grossmann. Expanding RTN discrete-time scheduling formulations to preemptive tasks. 2018, 1225-1230.
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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.
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