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Mathematical Problems in Engineering
Volume 2015, Article ID 906280, 15 pages
http://dx.doi.org/10.1155/2015/906280
Research Article

Unit-Specific Event-Based and Slot-Based Hybrid Model Framework with Hierarchical Structure for Short-Term Scheduling

State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China

Received 27 March 2015; Accepted 26 July 2015

Academic Editor: Qing Chang

Copyright © 2015 Yue Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. B. Keha, K. Khowala, and J. W. Fowler, “Mixed integer programming formulations for single machine scheduling problems,” Computers & Industrial Engineering, vol. 56, no. 1, pp. 357–367, 2009. View at Publisher · View at Google Scholar · View at Scopus
  2. W. Cheng, P. Guo, Z. Zhang, M. Zeng, and J. Liang, “Variable neighborhood search for parallel machines scheduling problem with step deteriorating jobs,” Mathematical Problems in Engineering, vol. 2012, Article ID 928312, 20 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  3. M. Joly and J. M. Pinto, “Mixed-integer programming techniques for the scheduling of fuel oil and asphalt production,” Chemical Engineering Research and Design, vol. 81, no. 4, pp. 427–447, 2003. View at Publisher · View at Google Scholar · View at Scopus
  4. J. Cheng, J. Fowler, K. Kempf, and S. Mason, “Multi-mode resource-constrained project scheduling problems with non-preemptive activity splitting,” Computers & Operations Research, vol. 53, pp. 275–287, 2015. View at Publisher · View at Google Scholar · View at Scopus
  5. C. A. Méndez and J. Cerdá, “An MILP framework for short-term scheduling of single-stage batch plants with limited discrete resources,” Computer Aided Chemical Engineering, vol. 10, pp. 721–726, 2002. View at Publisher · View at Google Scholar · View at Scopus
  6. C. A. Méndez and J. Cerdá, “An MILP framework for batch reactive scheduling with limited discrete resources,” Computers & Chemical Engineering, vol. 28, no. 6-7, pp. 1059–1068, 2004. View at Publisher · View at Google Scholar · View at Scopus
  7. J. M. Pinto and I. E. Grossmann, “A logic-based approach to scheduling problems with resource constraints,” Computers & Chemical Engineering, vol. 21, no. 8, pp. 801–818, 1997. View at Publisher · View at Google Scholar · View at Scopus
  8. J. Zhang, W. Wang, and X. Xu, “A hybrid discrete particle swarm optimization for dual-resource constrained job shop scheduling with resource flexibility,” Journal of Intelligent Manufacturing, 2015. View at Publisher · View at Google Scholar
  9. A. Lindholm and P. Giselsson, “Minimization of economical losses due to utility disturbances in the process industry,” Journal of Process Control, vol. 23, no. 5, pp. 767–777, 2013. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Lindholm and N.-P. Nytzén, “Hierarchical scheduling and disturbance management in the process industry,” Computers & Chemical Engineering, vol. 71, pp. 489–500, 2014. View at Publisher · View at Google Scholar · View at Scopus
  11. Y. Wang, H. Y. Su, S. Lu, L. Xie, and L. Zhu, “Hierarchical approach of planning and scheduling with demand uncertainty and utility disturbance,” in Proceedings of the 5th International Symposium on Advanced Control of Industrial Processes (ADCONIP '14), Hiroshima, Japan, May 2014.
  12. S. L. Janak, X. Lin, and C. A. Floudas, “Enhanced continuous-time unit-specific event-based formulation for short-term scheduling of multipurpose batch processes: resource constraints and mixed storage policies,” Industrial & Engineering Chemistry Research, vol. 43, no. 10, pp. 2516–2533, 2004. View at Publisher · View at Google Scholar · View at Scopus
  13. B. Behdani, M. R. Pishvaie, and D. Rashtchian, “Optimal scheduling of mixed batch and continuous processes incorporating utility aspects,” Chemical Engineering and Processing: Process Intensification, vol. 46, no. 4, pp. 271–281, 2007. View at Publisher · View at Google Scholar · View at Scopus
  14. N. Susarla, J. Li, and I. A. Karimi, “A novel multi-grid formulation for scheduling semi-continuous plants,” Computer Aided Chemical Engineering, vol. 31, pp. 1075–1079, 2012. View at Publisher · View at Google Scholar · View at Scopus
  15. M. A. Shaik and R. Vooradi, “Unification of STN and RTN based models for short-term scheduling of batch plants with shared resources,” Chemical Engineering Science, vol. 98, pp. 104–124, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. C. A. Méndez and J. Cerdá, “Short-term scheduling of multistage batch processes subject to limited finite resources,” Computer Aided Chemical Engineering, vol. 15, pp. 984–989, 2003. View at Publisher · View at Google Scholar · View at Scopus
  17. M. A. Shaik and C. A. Floudas, “Novel unified modeling approach for short-term scheduling,” Industrial & Engineering Chemistry Research, vol. 48, no. 6, pp. 2947–2964, 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. R. Vooradi and M. A. Shaik, “Improved three-index unit-specific event-based model for short-term scheduling of batch plants,” Computers & Chemical Engineering, vol. 43, pp. 148–172, 2012. View at Publisher · View at Google Scholar · View at Scopus
  19. C. T. Maravelias and I. E. Grossmann, “New general continuous-time state−task network formulation for short-term scheduling of multipurpose batch plants,” Industrial & Engineering Chemistry Research, vol. 42, no. 13, pp. 3056–3074, 2003. View at Publisher · View at Google Scholar · View at Scopus
  20. A. Sundaramoorthy and I. A. Karimi, “A simpler better slot-based continuous-time formulation for short-term scheduling in multipurpose batch plants,” Chemical Engineering Science, vol. 60, no. 10, pp. 2679–2702, 2005. View at Publisher · View at Google Scholar · View at Scopus