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Mathematical Problems in Engineering
Volume 2014, Article ID 201708, 13 pages
http://dx.doi.org/10.1155/2014/201708
Research Article

Dynamic Optimal Production Strategies Based on the Inventory-Dependent Demand under the Cap-and-Trade Mechanism

Department of Logistics Engineering and Management, Lingnan College, Sun Yat-sen University, Guangzhou 510275, China

Received 31 December 2013; Accepted 16 February 2014; Published 7 May 2014

Academic Editor: Piermarco Cannarsa

Copyright © 2014 Qiuzhuo Ma 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. B. C. Field, Environmental Economics: An Introduction, McGraw-Hill, New York, NY, USA, 2nd edition, 1997.
  2. S. S. Sana, “The stochastic EOQ model with random sales price,” Applied Mathematics and Computation, vol. 218, no. 2, pp. 239–248, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. S. S. Sana, “An EOQ model of homogeneous products while demand is salesmen's initiatives and stock sensitive,” Computers & Mathematics with Applications, vol. 62, no. 2, pp. 577–587, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. S. S. Sana, “An EOQ model for salesmen's initiatives stock and price sensitive demand of similar products—a dynamical system,” Applied Mathematics and Computation, vol. 218, no. 7, pp. 3277–3288, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. S. S. Sana, “The EOQ model—a dynamical system,” Applied Mathematics and Computation, vol. 218, no. 17, pp. 8736–8749, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. F. A. Bukhari and A. El-Gohary, “Optimal control of a production-maintenance system with deteriorating items,” Journal of King Saud University—Science, vol. 24, pp. 351–357, 2012. View at Publisher · View at Google Scholar · View at Scopus
  7. L. Shoude, “Optimal control of production-maintenance system with deteriorating items, emission tax and pollution R&D investment,” International Journal of Production Research, vol. 52, no. 6, pp. 1787–1807, 2014. View at Publisher · View at Google Scholar
  8. J.-J. Laffont and J. Tirole, “Pollution permits and compliance strategies,” Journal of Public Economics, vol. 62, no. 1-2, pp. 85–125, 1996. View at Publisher · View at Google Scholar · View at Scopus
  9. M. A. L. Caetano, D. F. M. Gherardi, and T. Yoneyama, “Optimal resource management control for CO2 emission and reduction of the greenhouse effect,” Ecological Modelling, vol. 213, no. 1, pp. 119–126, 2008. View at Publisher · View at Google Scholar · View at Scopus
  10. I. Dobos, “Production strategies under environmental constraints: continuous-time model with concave costs,” International Journal of Production Economics, vol. 71, no. 1–3, pp. 323–330, 2001. View at Publisher · View at Google Scholar · View at Scopus
  11. K. J. Arrow and S. Karlin, “Production over time with increasing marginal costs,” in Studies in the Mathematical Theory of Inventory and Production, K. J. Arrow, S. Karlin, and H. Scarf, Eds., chapter 4, Stanford University Press, Stanford, Calif, USA, 1958. View at Google Scholar
  12. I. Dobos, “Production strategies under environmental constraints in an Arrow-Karlin model,” International Journal of Production Economics, vol. 59, no. 1, pp. 337–340, 1999. View at Publisher · View at Google Scholar · View at Scopus
  13. I. Dobos, “The effects of emission trading on production and inventories in the Arrow-Karlin model,” International Journal of Production Economics, vol. 93-94, pp. 301–308, 2005. View at Publisher · View at Google Scholar · View at Scopus
  14. I. Dobos, “Tradable permits and production-inventory strategies of the firm,” International Journal of Production Economics, vol. 108, no. 1-2, pp. 329–333, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. K.-H. Lee, “Integrating carbon footprint into supply chain management: The case of Hyundai Motor Company (HMC) in the automobile industry,” Journal of Cleaner Production, vol. 19, no. 11, pp. 1216–1223, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. W. B. Gray and R. J. Shadbegian, “Environmental regulation, investment timing, and technology choice,” Journal of Industrial Economics, vol. 46, no. 2, pp. 235–256, 1998. View at Google Scholar · View at Scopus
  17. C. Chen and G. E. Monahan, “Environmental safety stock: the impacts of regulatory and voluntary control policies on production planning, inventory control, and environmental performance,” European Journal of Operational Research, vol. 207, no. 3, pp. 1280–1292, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. R. Subramanian, S. Gupta, and B. Talbot, “Compliance strategies under permits for emissions,” Production and Operations Management, vol. 16, no. 6, pp. 763–779, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. X. Gong and S. X. Zhou, “Optimal production planning with emissions trading,” Operations Research, vol. 61, no. 4, pp. 908–924, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  20. R. Carmona, M. Fehr, J. Hinz, and A. Porchet, “Market design for emission trading schemes,” SIAM Review, vol. 52, no. 3, pp. 403–452, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  21. R. C. Baker and T. L. Urban, “A deterministic inventory system with an inventory-level-dependent demand Rate,” The Journal of the Operational Research Society, vol. 39, no. 9, pp. 823–831, 1988. View at Google Scholar · View at Zentralblatt MATH
  22. T. Urban, “Inventory model with an inventory-level-dependent demand rate and relaxed terminal conditions,” Journal of the Operational Research Society, vol. 43, no. 7, pp. 721–724, 1992. View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  23. T. L. Urban, “Inventory models with inventory-level-dependent demand: a comprehensive review and unifying theory,” European Journal of Operational Research, vol. 162, no. 3, pp. 792–804, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  24. A. Ramudhin, A. Chaabane, M. Kharoune, and M. Paquet, “Carbon market sensitive green supply Chain network design,” in Proceedings of the IEEE International Conference on Industrial Engineering and Engineering Management (IEEM '08), pp. 1093–1097, Singapore, 2008.
  25. A. Diabat and D. Simchi-Levi, “A carbon-capped supply chain network problem,” in Proceedings of the IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2009, pp. 523–527, IEEE, Beijing, China, December 2009. View at Publisher · View at Google Scholar · View at Scopus
  26. M. I. Kamien and N. L. Schwartz, Dynamic Optimization, vol. 31 of Advanced Textbooks in Economics, North-Holland, Amsterdam, The Netherlands, 2nd edition, 1991. View at MathSciNet