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Assignment and sequencing models for thescheduling of process systems

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  • Jose Pinto
  • Ignacio Grossmann

Abstract

This paper presents an overview of assignment and sequencing models that are used inthe scheduling of process operations with mathematical programming techniques. Althoughscheduling models are problem specific, there are common features which translate intosimilar types of constraints. Two major categories of scheduling models are identified:single-unit assignment models in which the assignment of tasks to units is known a priori,and multiple-unit assignment models in which several machines compete for the processingof products. The most critical modeling issues are the time domain representation and networkstructure of the processing plant. Furthermore, a summary of the major features of thescheduling model is presented along with computational experience, as well as a discussionon their strengths and limitations. Copyright Kluwer Academic Publishers 1998

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  • Jose Pinto & Ignacio Grossmann, 1998. "Assignment and sequencing models for thescheduling of process systems," Annals of Operations Research, Springer, vol. 81(0), pages 433-466, June.
    • Handle: RePEc:spr:annopr:v:81:y:1998:i:0:p:433-466:10.1023/a:1018929829086
    DOI: 10.1023/A:1018929829086
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    Cited by:

    1. Li, Nianqi & Klemeš, Jiří Jaromír & Sunden, Bengt & Wu, Zan & Wang, Qiuwang & Zeng, Min, 2022. "Heat exchanger network synthesis considering detailed thermal-hydraulic performance: Methods and perspectives," Renewable and Sustainable Energy Reviews, Elsevier, vol. 168(C).
    2. Casey Chung & Milind Dawande & Divakar Rajamani & Chelliah Sriskandarajah, 2011. "A Short-Range Scheduling Model for Blockbuster's Order-Processing Operation," Interfaces, INFORMS, vol. 41(5), pages 466-484, October.
    3. Lara, Cristiana L. & Koenemann, Jochen & Nie, Yisu & de Souza, Cid C., 2023. "Scalable timing-aware network design via lagrangian decomposition," European Journal of Operational Research, Elsevier, vol. 309(1), pages 152-169.
    4. Christodoulos Floudas & Xiaoxia Lin, 2005. "Mixed Integer Linear Programming in Process Scheduling: Modeling, Algorithms, and Applications," Annals of Operations Research, Springer, vol. 139(1), pages 131-162, October.
    5. Yanina Fumero & Gabriela Corsano & Jorge Montagna, 2012. "Planning and scheduling of multistage multiproduct batch plants operating under production campaigns," Annals of Operations Research, Springer, vol. 199(1), pages 249-268, October.
    6. Torres, Nelson & Greivel, Gus & Betz, Joshua & Moreno, Eduardo & Newman, Alexandra & Thomas, Brian, 2024. "Optimizing steel coil production schedules under continuous casting and hot rolling," European Journal of Operational Research, Elsevier, vol. 314(2), pages 496-508.
    7. Shehadeh, Karmel S. & Cohn, Amy E.M. & Epelman, Marina A., 2019. "Analysis of models for the Stochastic Outpatient Procedure Scheduling Problem," European Journal of Operational Research, Elsevier, vol. 279(3), pages 721-731.
    8. Michael C. Ferris & Christos T. Maravelias & Arul Sundaramoorthy, 2009. "Simultaneous Batching and Scheduling Using Dynamic Decomposition on a Grid," INFORMS Journal on Computing, INFORMS, vol. 21(3), pages 398-410, August.
    9. Bhattacharya, Subir & Bose, Sumit Kumar, 2007. "Mathematical model for scheduling operations in cascaded continuous processing units," European Journal of Operational Research, Elsevier, vol. 182(1), pages 1-14, October.
    10. Monkman, Susan K. & Morrice, Douglas J. & Bard, Jonathan F., 2008. "A production scheduling heuristic for an electronics manufacturer with sequence-dependent setup costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1100-1114, June.
    11. Sumit Bose & Subir Bhattacharya, 2008. "A two pass heuristic algorithm for scheduling ‘blocked out’ units in continuous process industry," Annals of Operations Research, Springer, vol. 159(1), pages 293-313, March.
    12. Philip Doganis & Haralambos Sarimveis, 2008. "Optimal production scheduling for the dairy industry," Annals of Operations Research, Springer, vol. 159(1), pages 315-331, March.
    13. Susan Heath & Jonathan Bard & Douglas Morrice, 2013. "A GRASP for simultaneously assigning and sequencing product families on flexible assembly lines," Annals of Operations Research, Springer, vol. 203(1), pages 295-323, March.

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