About this Journal Submit a Manuscript Table of Contents
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 705839, 8 pages
http://dx.doi.org/10.1155/2014/705839
Research Article

Optimal Decisions for a Fuzzy Two-Echelon Supply Chain

1School of Science, Tianjin Chengjian University, Tianjin 300384, China
2School of Computer Science and Communication Engineering, Tianjin University of Technology, Tianjin 300384, China

Received 9 September 2013; Revised 14 December 2013; Accepted 31 December 2013; Published 19 February 2014

Academic Editor: M. De la Sen

Copyright © 2014 Qingfeng Song 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. M. A. Lariviere and E. L. Porteus, “Selling to the newsvendor: an analysis of price-only contracts,” Manufacturing and Service Operations Management, vol. 3, no. 4, pp. 293–305, 2001. View at Publisher · View at Google Scholar · View at Scopus
  2. T. A. Taylor, “Supply chain coordination under channel rebates with sales effort effects,” Management Science, vol. 48, no. 8, pp. 992–1007, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. G. P. Cachon and M. A. Lariviere, “Supply chain coordination with revenue-sharing contracts: strengths and limitations,” Management Science, vol. 51, no. 1, pp. 30–44, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  4. H. I. Mesak, H. Zhang, and J. M. Pullis, “On optimal service capacity allocation policy in an advance selling environment in continuous time,” European Journal of Operational Research, vol. 203, no. 2, pp. 505–512, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. H. Krishnan, R. Kapuscinski, and D. A. Butz, “Coordinating contracts for decentralized supply chains with retailer promotional effort,” Management Science, vol. 50, no. 1, pp. 48–63, 2004. View at Publisher · View at Google Scholar · View at Scopus
  6. D. Dash Wu, “Bargaining in supply chain with price and promotional effort dependent demand,” Mathematical and Computer Modelling, vol. 58, no. 9-10, pp. 1659–1669, 2013. View at Publisher · View at Google Scholar · View at Scopus
  7. G. P. Cachon, “Stock wars: inventory competition in a two-echelon supply chain with multiple retailers,” Operations Research, vol. 49, no. 5, pp. 658–674, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  8. F. Hu, C.-C. - Lim, Z. Lu, and X. Sun, “Coordination in a singleretailer two-supplier supply chain under random demand and random supply with disruption,” Discrete Dynamics in Nature and Society, vol. 2013, Article ID 484062, 12 pages, 2013. View at Publisher · View at Google Scholar
  9. A. H. L. Lau and H.-S. Lau, “Some two-echelon supply-chain games: Improving from deterministic- symmetric-information to stochastic-asymmetric-information models,” European Journal of Operational Research, vol. 161, no. 1, pp. 203–223, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  10. L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338–353, 1965. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  11. B. Liu and Y.-K. Liu, “Expected value of fuzzy variable and fuzzy expected value models,” IEEE Transactions on Fuzzy Systems, vol. 10, no. 4, pp. 445–450, 2002. View at Publisher · View at Google Scholar · View at Scopus
  12. H.-J. Zimmermann, “Applications of fuzzy set theory to mathematical programming,” Information Sciences, vol. 36, no. 1-2, pp. 29–58, 1985. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  13. D. Petrovic, Y. Xie, K. Burnham, and R. Petrovic, “Coordinated control of distribution supply chains in the presence of fuzzy customer demand,” European Journal of Operational Research, vol. 185, no. 1, pp. 146–158, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  14. I. Erol, S. Sencer, and R. Sari, “A new fuzzy multi-criteria framework for measuring sustainability performance of a supply chain,” Ecological Economics, vol. 70, no. 6, pp. 1088–1100, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. J. Wei, G. Pang, Y. Liu, and Q. Ma, “Pricing decisions of a twoechelon supply chain in fuzzy environment,” Discrete Dynamics in Nature and Society, vol. 2013, Article ID 971504, 11 pages, 2013. View at Publisher · View at Google Scholar
  16. J. Zhao, W. Liu, and J. Wei, “Pricing and remanufacturing decisions of a decentralized fuzzy supply chain,” Discrete Dynamics in Nature and Society, vol. 2013, Article ID 986704, 10 pages, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  17. S.-J. Chuu, “Interactive group decision-making using a fuzzy linguistic approach for evaluating the flexibility in a supply chain,” European Journal of Operational Research, vol. 213, no. 1, pp. 279–289, 2011. View at Publisher · View at Google Scholar · View at Scopus
  18. J. Wei and J. Zhao, “Pricing decisions with retail competition in a fuzzy closed-loop supply chain,” Expert Systems with Applications, vol. 38, no. 9, pp. 11209–11216, 2011. View at Publisher · View at Google Scholar · View at Scopus
  19. J. Zhao, W. Tang, and J. Wei, “Pricing decision for substitutable products with retail competition in a fuzzy environment,” International Journal of Production Economics, vol. 135, no. 1, pp. 144–153, 2012. View at Publisher · View at Google Scholar · View at Scopus
  20. J. Zhao, W. Tang, R. Zhao, and J. Wei, “Pricing decisions for substitutable products with a common retailer in fuzzy environments,” European Journal of Operational Research, vol. 216, no. 2, pp. 409–419, 2012. View at Publisher · View at Google Scholar · View at Scopus
  21. L. Wang, H. Qu, Y. Li, and J. He, “Modeling and optimization of stochastic joint replenishment and delivery scheduling problem with uncertain costs,” Discrete Dynamics in Nature and Society, vol. 2013, Article ID 657465, 12 pages, 2013. View at Publisher · View at Google Scholar
  22. A. Charnes and W. Cooper, “Chance-constrained programming,” Management Science, vol. 6, no. 1, pp. 73–79, 1959. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  23. B. Liu and K. Iwamura, “Chance constrained programming with fuzzy parameters,” Fuzzy Sets and Systems, vol. 94, no. 2, pp. 227–237, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  24. J. Gao and B. Liu, “Fuzzy multilevel programming with a hybrid intelligent algorithm,” Computers and Mathematics with Applications, vol. 49, no. 9-10, pp. 1539–1548, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  25. C. Zhou, R. Zhao, and W. Tang, “Two-echlon supply chain games in a fuzzy environment,” Computers and Industrial Engineering, vol. 55, no. 2, pp. 390–405, 2008. View at Publisher · View at Google Scholar
  26. C. Wang, W. Tang, and R. Zhao, “On the continuity and convexity analysis of the expected value function of a fuzzy mapping,” Journal of Uncertain Systems, vol. 1, no. 2, pp. 148–160, 2007.
  27. L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning-I,” Information Sciences, vol. 8, no. 3, pp. 199–249, 1975. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  28. J. Zhao, W. Tang, and J. Wei, “Pricing decision for substitutable products with retail competition in a fuzzy environment,” International Journal of Production Economics, vol. 135, no. 1, pp. 144–153, 2012. View at Publisher · View at Google Scholar · View at Scopus