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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 476085, 10 pages
http://dx.doi.org/10.1155/2014/476085
Research Article

An EPQ Inventory Model with Allowable Shortages for Deteriorating Items under Trade Credit Policy

1Department of Mechanical and Manufacturing Engineering, Universiti Putra Malaysia, Selangor 43300, Malaysia
2Department of Computer Engineering, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran

Received 2 December 2013; Revised 14 January 2014; Accepted 14 January 2014; Published 24 February 2014

Academic Editor: Juan J. Nieto

Copyright © 2014 Zohreh Molamohamadi 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. D. Piasecki, “Consignment inventory: what is it and when does it make sense to use it?” White Paper, Inventory Operations Consulting, Kenosha, Wis, USA, 2004.
  2. Z. Molamohamadi, M. Rezaeiahari, and N. Ismail, “Consignment inventory: review and critique of literature,” Journal of Basic and Applied Scientific Research, vol. 3, no. 6, pp. 707–714, 2013.
  3. C. W. Haley and R. C. Higgins, “Inventory policy and trade credit financing,” Management Science, vol. 20, no. 4, pp. 464–471, 1973. View at Scopus
  4. S. K. Goyal, “Economic order quantity under conditions of permissible delay in payments,” The Journal of the Operational Research Society, vol. 36, no. 4, pp. 335–338, 1985. View at Scopus
  5. S. P. Aggarwal and C. K. Jaggi, “Ordering policies of deteriorating items under permissible delay in payments,” The Journal of the Operational Research Society, vol. 46, no. 5, pp. 658–662, 1995.
  6. A. M. M. Jamal, B. R. Sarker, and S. Wang, “An ordering policy for deteriorating items with allowable shortage and permissible delay in payment,” The Journal of the Operational Research Society, vol. 48, no. 8, pp. 826–833, 1997. View at Scopus
  7. B. R. Sarker, A. M. M. Jamal, and S. Wang, “Supply chain models for perishable products under inflation and permissible delay in payment,” Computers & Operations Research, vol. 27, no. 1, pp. 59–75, 2000. View at Publisher · View at Google Scholar · View at Scopus
  8. H.-J. Chang and C.-Y. Dye, “An inventory model for deteriorating items with partial backlogging and permissible delay in payments,” International Journal of Systems Science, vol. 32, no. 3, pp. 345–352, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  9. J.-T. Teng, “On the economic order quantity under conditions of permissible delay in payments,” The Journal of the Operational Research Society, vol. 53, no. 8, pp. 915–918, 2002. View at Publisher · View at Google Scholar · View at Scopus
  10. K.-J. Chung and Y.-F. Huang, “The optimal cycle time for EPQ inventory model under permissible delay in payments,” International Journal of Production Economics, vol. 84, no. 3, pp. 307–318, 2003. View at Publisher · View at Google Scholar · View at Scopus
  11. Y.-F. Huang, “Optimal retailer's ordering policies in the EOQ model under trade credit financing,” The Journal of the Operational Research Society, vol. 54, no. 9, pp. 1011–1015, 2003. View at Publisher · View at Google Scholar · View at Scopus
  12. C.-T. Chang, L.-Y. Ouyang, and J.-T. Teng, “An EOQ model for deteriorating items under supplier credits linked to ordering quantity,” Applied Mathematical Modelling, vol. 27, no. 12, pp. 983–996, 2003. View at Publisher · View at Google Scholar · View at Scopus
  13. C.-T. Chang and J.-T. Teng, “Retailer's optimal ordering policy under supplier credits,” Mathematical Methods of Operations Research, vol. 60, no. 3, pp. 471–483, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  14. J.-T. Teng, C.-T. Chang, and S. K. Goyal, “Optimal pricing and ordering policy under permissible delay in payments,” International Journal of Production Economics, vol. 97, no. 2, pp. 121–129, 2005. View at Publisher · View at Google Scholar · View at Scopus
  15. Y.-F. Huang, “Retailer's inventory policy under supplier's partial trade credit policy,” Journal of the Operations Research Society of Japan, vol. 48, no. 3, pp. 173–182, 2005. View at MathSciNet · View at Scopus
  16. L.-Y. Ouyang, J.-T. Teng, and L.-H. Chen, “Optimal ordering policy for deteriorating items with partial backlogging under permissible delay in payments,” Journal of Global Optimization, vol. 34, no. 2, pp. 245–271, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  17. L.-H. Chen and L.-Y. Ouyang, “Fuzzy inventory model for deteriorating items with permissible delay in payment,” Applied Mathematics and Computation, vol. 182, no. 1, pp. 711–726, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  18. L.-Y. Ouyang, K.-S. Wu, and C.-T. Yang, “A study on an inventory model for non-instantaneous deteriorating items with permissible delay in payments,” Computers & Industrial Engineering, vol. 51, no. 4, pp. 637–651, 2006. View at Publisher · View at Google Scholar · View at Scopus
  19. Y.-F. Huang, “Optimal retailer's replenishment decisions in the EPQ model under two levels of trade credit policy,” European Journal of Operational Research, vol. 176, no. 3, pp. 1577–1591, 2007. View at Publisher · View at Google Scholar · View at Scopus
  20. J.-J. Liao, “An EOQ model with noninstantaneous receipt and exponentially deteriorating items under two-level trade credit,” International Journal of Production Economics, vol. 113, no. 2, pp. 852–861, 2008. View at Publisher · View at Google Scholar · View at Scopus
  21. K.-J. Chung and C.-K. Huang, “An ordering policy with allowable shortage and permissible delay in payments,” Applied Mathematical Modelling, vol. 33, no. 5, pp. 2518–2525, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  22. F. Hu and D. Liu, “Optimal replenishment policy for the EPQ model with permissible delay in payments and allowable shortages,” Applied Mathematical Modelling, vol. 34, no. 10, pp. 3108–3117, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  23. J. Min, Y.-W. Zhou, and J. Zhao, “An inventory model for deteriorating items under stock-dependent demand and two-level trade credit,” Applied Mathematical Modelling, vol. 34, no. 11, pp. 3273–3285, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  24. K.-J. Chung, “The EPQ model under conditions of two levels of trade credit and limited storage capacity in supply chain management,” International Journal of Systems Science, vol. 44, no. 9, pp. 1675–1691, 2013. View at Publisher · View at Google Scholar
  25. Y.-J. Lin, L.-Y. Ouyang, and Y.-F. Dang, “A joint optimal ordering and delivery policy for an integrated supplier-retailer inventory model with trade credit and defective items,” Applied Mathematics and Computation, vol. 218, no. 14, pp. 7498–7514, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  26. J.-T. Teng, J. Min, and Q. Pan, “Economic order quantity model with trade credit financing for non-decreasing demand,” Omega, vol. 40, no. 3, pp. 328–335, 2012. View at Publisher · View at Google Scholar · View at Scopus
  27. P. Guchhait, M. K. Maiti, and M. Maiti, “Two storage inventory model of a deteriorating item with variable demand under partial credit period,” Applied Soft Computing, vol. 13, no. 1, pp. 428–448, 2013. View at Publisher · View at Google Scholar
  28. A. A. Taleizadeh, D. W. Pentico, M. S. Jabalameli, and M. Aryanezhad, “An EOQ model with partial delayed payment and partial backordering,” Omega, vol. 41, no. 2, pp. 354–368, 2013. View at Publisher · View at Google Scholar · View at Scopus
  29. J. C. P. Yu, “A collaborative strategy for deteriorating inventory system with imperfect items and supplier credits,” International Journal of Production Economics, vol. 143, no. 2, pp. 403–409, 2013. View at Publisher · View at Google Scholar
  30. Y. He and H. Huang, “Two-level credit financing for noninstantaneous deterioration items in a supply chain with downstream credit-linked demand,” Discrete Dynamics in Nature and Society, vol. 2013, Article ID 917958, 22 pages, 2013. View at Publisher · View at Google Scholar
  31. C. K. Jaggi, S. K. Goyal, and S. K. Goel, “Retailer's optimal replenishment decisions with credit-linked demand under permissible delay in payments,” European Journal of Operational Research, vol. 190, no. 1, pp. 130–135, 2008. View at Publisher · View at Google Scholar · View at Scopus
  32. X.-S. Yang and S. Deb, “Cuckoo search via Lévy flights,” in Proceedings of the World Congress on Nature & Biologically Inspired Computing (NaBIC '09), pp. 210–214, Coimbatore, India, December 2009. View at Publisher · View at Google Scholar · View at Scopus
  33. D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley, 1989.
  34. X. Yang, “Cuckoo search,” in Nature-Inspired Metaheuristic Algorithms: Second Edition, X. Yang, Ed., pp. 105–115, Luniver Press, Forme, UK, 2nd edition, 2010.
  35. P. Zhao and H. Li, “Opposition-based Cuckoo search algorithm for optimization problems,” in Proceedings of the 5th International Symposium on Computational Intelligence and Design (ISCID '12), vol. 1, pp. 344–347, Hangzhou, China, October 2012. View at Publisher · View at Google Scholar
  36. C.-H. Ho, “The optimal integrated inventory policy with price-and-credit-linked demand under two-level trade credit,” Computers & Industrial Engineering, vol. 60, no. 1, pp. 117–126, 2011. View at Publisher · View at Google Scholar · View at Scopus