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Journal of Optimization
Volume 2014 (2014), Article ID 896756, 10 pages
http://dx.doi.org/10.1155/2014/896756
Research Article

Polymorphic Uncertain Linear Programming for Generalized Production Planning Problems

1School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China
2School of Business, Central South University, Changsha, Hunan 410083, China

Received 24 June 2013; Revised 28 December 2013; Accepted 2 January 2014; Published 19 February 2014

Academic Editor: Cheng-Hong Yang

Copyright © 2014 Xinbo Zhang 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. E.-H. Aghezzaf, C. Sitompul, and F. Van den Broecke, “A robust hierarchical production planning for a capacitated two-stage production system,” Computers & Industrial Engineering, vol. 60, no. 2, pp. 361–372, 2011. View at Publisher · View at Google Scholar · View at Scopus
  2. J. Mula, D. Peidro, and R. Poler, “The effectiveness of a fuzzy mathematical programming approach for supply chain production planning with fuzzy demand,” International Journal of Production Economics, vol. 128, no. 1, pp. 136–143, 2010. View at Publisher · View at Google Scholar · View at Scopus
  3. S. A. Torabi, M. Ebadian, and R. Tanha, “Fuzzy hierarchical production planning (with a case study),” Fuzzy Sets and Systems, vol. 161, no. 11, pp. 1511–1529, 2010. View at Publisher · View at Google Scholar · View at Scopus
  4. R. Q. Zhang, L. K. Zhang, Y. Y. Xiao, and I. Kaku, “The activity-based aggregate production planning with capacity expansion in manufacturing systems,” Computers & Industrial Engineering, vol. 62, no. 2, pp. 491–503, 2012. View at Publisher · View at Google Scholar · View at Scopus
  5. S. A. Abass, M. A. Gomaa, G. A. Elsharawy, and M. S. Elsaid, “Generalized production planning problem under interval uncertainty,” Egyptian Informatics Journal, vol. 11, no. 1, pp. 27–31, 2010. View at Publisher · View at Google Scholar · View at Scopus
  6. L. X. Tang, P. Che, and J. Y. Liu, “A stochastic production planning problem with nonlinear cost,” Computers & Operations Research, vol. 39, no. 9, pp. 1977–1987, 2012. View at Publisher · View at Google Scholar · View at Scopus
  7. D. Kira, M. Kusy, and I. Rakita, “A stochastic linear programming approach to hierarchical production planning,” Journal of the Operational Research Society, vol. 48, no. 2, pp. 207–211, 1997. View at Google Scholar · View at Scopus
  8. Y. F. Lan, Y. K. Liu, and G. Sun, “An approximation-based approach for fuzzy multi-period production planning problem with credibility objective,” Applied Mathematical Modelling, vol. 34, no. 11, pp. 3202–3215, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. H. Jung, “A fuzzy AHP-GP approach for integrated production-planning considering manufacturing partners,” Expert Systems with Applications, vol. 38, no. 5, pp. 5833–5840, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. J. Mula, R. Poler, J. P. García-Sabater, and F. C. Lario, “Models for production planning under uncertainty: a review,” International Journal of Production Economics, vol. 103, no. 1, pp. 271–285, 2006. View at Publisher · View at Google Scholar · View at Scopus
  11. S. P. Sethi, H. Yan, H. Zhang, and Q. Zhang, “Optimal and hierarchical controls in dynamic stochastic manufacturing systems: a survey,” Manufacturing & Service Operations Management, vol. 4, no. 2, pp. 133–170, 2002. View at Google Scholar · View at Scopus
  12. Z. Wan, S. J. Zhang, and K. L. Teo, “Two-step based sampling method for maximizing the capacity of V-belt driving in polymorphic uncertain environment,” Proceedings of the Institution of Mechanical Engineers C, vol. 226, no. 1, pp. 177–191, 2012. View at Publisher · View at Google Scholar · View at Scopus
  13. Z. Wan, K. L. Teo, L. S. Kong, and C. H. Yang, “A class of mix design problems: formulation, solution methods and applications,” The ANZIAM Journal, vol. 50, no. 4, pp. 455–474, 2009. View at Publisher · View at Google Scholar · View at Scopus
  14. Z. Wan, F. Z. Meng, A. Y. Hao, and Y. L. Wang, “Fuzzy and stochastic parameters-based prediction method for the components of alkali in the sintering process of aluminium,” Fuzzy Systems and Mathematics, vol. 25, no. 3, pp. 163–167, 2011. View at Google Scholar