Multi-period scheduling of a multi-Stage multi-Product bio-pharmaceutical process

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

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)


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 multi-period 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 (2007, Industrial & Engineering Chemistry Research, 46, 1764) with several new constraints to deal with additional features such as unit and sequence dependent changeovers, multiple intermediate due dates, handling of shelf-life and waste disposal, and penalties on backlogs and late deliveries. Improved tightening and sequencing constraints have been presented. The validity of the proposed model has been illustrated through an example from the literature.

Original languageEnglish
Pages (from-to)95-103
Number of pages9
JournalComputers and Chemical Engineering
Publication statusPublished - Oct 5 2013
Externally publishedYes


  • Bio-pharmaceutical process
  • Multi-stage
  • Multiproduct
  • Optimization
  • Scheduling

ASJC Scopus subject areas

  • General Chemical Engineering
  • Computer Science Applications


Dive into the research topics of 'Multi-period scheduling of a multi-Stage multi-Product bio-pharmaceutical process'. Together they form a unique fingerprint.

Cite this