Economic Order Quantity for Deteriorating Items with Imperfect Quality, Destructive Testing Acceptance Sampling, and Inspection Errors

Document Type: Research Paper


Industrial Engineering, Quchan university of Advanced Technology, Quchan, Iran


Now a days, management and control of perishable inventories is important in many units and industrial enterprises. Basically perishable inventory management and control is more complex and challenging than inventories with unlimited lifetime. Hence determining the optimal inventory policies for these products is very important.  In this paper, the optimal inventory policy for perishable items given to the a single acceptance sampling plan with destructive testing and inspection errors is adopted .After developing a model for the problem and obtaining the objective function, first an exact solution and a simple and efficient algorithm to find the optimal values is proposed. Then, the model will be validated with a numerical example and senility analysis.


Main Subjects

  1. Harris, F. W. (1913). “How many parts to make at once, Factory”, The Magazine of Management, Vol. 38, No. 6, 10 (2), PP. 135– 136.
  2. Whitin, T. M. (1953). The theory of inventory management, Princeton University Press, Princeton, NJ, USA.
  3. Ghare, P. N. and Schrader, G. F. (1963). “A model for exponentially decaying inventories”, The Journal of Industrial Engineering, Vol. 1, No. 14, PP. 238– 243.
  4. Elionand, S. and Mallaya, R. V. (1996). “Issuing and pricing policy of semi-perishables”, Proceedings of the 4th Internationam Conference on Operational Research, Wiley Inter science, New York.
  5. Goyal, S. K. and Giri, B. C. (2001). “Recent trends in modeling of deteriorating inventory”, European Journal of  Operational Research, Vol. 1, No. 134, PP. 1- 16.
  6. Nahmias, S. (1982). “Perishable inventory theory: A review”, Operations Research, Vol. 30, No. 4, PP. 680-708.
  7. Raafat, F. (1991). “Survey of literature on continuously deteriorating inventory models”, Journal of the Operational Research Society , Vol. 42, No. 1, PP. 27– 37.
  8. Pahl, J., Voss, S. and Woodruff, D. L. (2007). “Production planning with deterioration constraints: A survey”, In: 19th International Conference on Production Research, P. 6.
  9. Akkerman, R., Farahani, P. and Grunow. M. (2010). “Quality, safety and sustainability in food distribution: A review of quantitative operations management approaches and challenges”, OR Spectrum , Vol. 32, No. 4, PP. 863– 904.
10. Kempf, K. G., Keskinocak, P. and Uzsoy, R. (2011). “Planning production and inventories in the extended enterprise”, A State of the Art Handbook, Vol. 1, No. 151, PP. 393– 436.

11. Li, R., Lan, H. and Mawhinney, J. R. (2010). “A review on deteriorating inventory study”, Journal of Service Science and Management, Vol. 3, No. 1, PP. 117– 129.

12. Bakker, M., Riezebos, J. and Teunter, R. H. (2012). “Review of inventory systems with deterioration since 2001”, European Journal of Operational Research, Vol. 2, No. 221, PP. 275– 284.

13. Jolai, F., Rabbani, M. and Honarvar, M. (2006). “Continuous review inventory model for deteriorating itemswith no shortage, stochastic demand, and expedited ordering”, Journal of University College of Engineering, University of Tehran, Vol. 40, No. 40, PP. 487- 494.

14. Mirzazadeh, A., Seyed Esfehani, M. and Fatemi, M. (2006). “Determining economic order policy for deteriorating items with time-dependent inflation”, Journal of University College Of Engineering, Vol. 40, No. 40, PP. 585- 595.

15. Salameh, M. K. and Jaber, M. Y. (2000). “Economic production quantity model for items with imperfect quality”, International Journal of Production Economics, Vol. 64, No. 1-3, PP. 59- 64.

16. Goyal, S. K. and Cardenas-Barron, L. E. (2002). “Note on: Economic production quantity model for items with imperfect quality – A practical approach”, International Journal of Production Economics, Vol. 77, No. 1, PP. 85- 87.

17. Papachristos, S. and Konstantaras, I. (2006). “Economic ordering quantity models for items with imperfect quality”, International Journal of Production Economics, Vol. 100, No. 1, PP. 148- 154.

18. Tsou, J. (2007). “Economic order quantity model and Taguchi’s cost of poor quality”, Applied Mathematical Modeling , Vol. 31, No. 2, PP. 283- 291.

19. Hsu, W. K. and Yu, H. (2009). “EOQ model for imperfective items under a one-time-only discount”, Omega, Vol. 37, No. 5, PP. 1018- 1026.

20. Maddah, B. and Jaber, M. Y. (2008). “Economic order quantity for items with imperfect quality: Revisited”, International Journal of ProductionEconomics, Vol. 112, No. 2, PP. 808- 815.

21. Jaber, M. Y., Bonney M. and Moualek, I. (2009). “An economic order quantity model for an imperfect poduction process with entropy cost”, International Journal of Production Economics, Vol. 118, No. 1, PP. 26- 33.

22. Wang, X., Tang, W. and Zhao, R. (2007). “Random fuzzy EOQ model with imperfect quality items”, Fuzzy Optimization and Decision Making, Vol. 6, No. 2, PP. 139- 153.

23. Rezaei, J. (2005). “Economic order quantity model with backorder for imperfect quality items”, Proceedings of the IEEE International Engineering Management Conference, 2005, PP. 466- 470.

24. Wee, H. M., Yu, J. and Chen, M. C. (2007). “Optimal inventory model for items with imperfect quality and shortage backordering”, Omega, Vol. 35, No. 1, PP. 7- 11.

25. Eroglu A. and Ozdemir, G. (2007). “An economic order quantity model with defective items and shortages”, International Journal of Production Economics, Vol. 106, No. 2, PP. 544- 549.

26. Khan, M., Jaber, M. Y. and Wahab, M. I. M. (2010). “Economic order quantity model for items with imperfect quality with learning in inspection”, International Journal Of Production Economics, Vol. 124, No. 1, PP. 87- 96.

27. Salamah, M. (2011). “Economic order quantity with imperfect quality items, destructive testing acceptance sampling and Inspection errors”, Advances in management & applied Economics, Vol1.1, No. 2, PP. 59- 75.