Long-term Scheduling of a Multi-stage Multi-product Bio-pharmaceutical Process

Shaurya Kabra, Munawar A. Shaik, Anurag S. Rathore

Research output: Chapter in Book/Report/Conference proceedingChapter


There have been several works in the literature for scheduling of multi-product continuous processes with significant attention laid on short-term scheduling. This work presents a continuous-time model for long-term scheduling of a multi-stage multi- product process from bio-pharmaceutical industry. The overall model is a mixed-integer linear programming (MILP) formulation based on State-Task-Network (STN) representation of the process using unit-specific event-based continuous-time representation. The proposed model is an extension of model by Shaik and Floudas (Ind. Eng. Chem. Res., 2007, 46, 1764-1779) with several new constraints to deal with additional features such as unit and sequence dependent changeovers, multiple intermediate due dates, handling overproduction, shelf-life and waste disposal, and penalties on backlogs and delayed order fulfillment. Improved tightening and sequencing constraints have been presented leading to better relaxed objective values. The validity of the proposed model has been illustrated through an example from the literature.

Original languageEnglish
Title of host publicationComputer Aided Chemical Engineering
PublisherElsevier B.V.
Number of pages5
Publication statusPublished - 2012
Externally publishedYes

Publication series

NameComputer Aided Chemical Engineering
ISSN (Print)1570-7946


  • Bio-pharmaceutical Process
  • Long-term Scheduling
  • Multi-stage
  • Multiproduct Plants
  • Optimization

ASJC Scopus subject areas

  • General Chemical Engineering
  • Computer Science Applications


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