A New Method to Derive the EOQ Model
with Defective Items and Known Price
Increase

Kanint Teerapabolarn

doi:https://doi.org/10.14445/22315373/IJMTT-V65I5P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 5 | Year 2019 | Article Id. IJMTT-V65I5P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I5P510

A New Method to Derive the EOQ Model with Defective Items and Known Price Increase

Kanint Teerapabolarn

Abstract

This paper uses a new method, modified quadratic-geometric mean inequality, to derive the optimal EOQ model with defective items and known price increase when the special order can be placed at the regular time for replenishment. This study also uses 100% inspection policy and the known proportion of defective items is removed prior to storage after the screening process. The method is very simple to derive the optimal EOQ model without derivative.

Keywords

Defective item, modified quadratic-geometric mean inequality, known price increase.

References

[1] L. E. Cárdenas-Barrón, “An easy method to derive EOQ and EPQ inventory models with backorders”, Computers and Mathematics with Applications, vol. 59, pp. 948-952, 2010.
[2] Z. Cvetkovski, “Inequalities”. Springer-Verlag, Berlin Heidelberg, 2012.
[3] R. W. Grubbström, “Material Requirements Planning and Manufacturing Resource Planning” (International Encyclopedia of Business and Management), Routledge, . London 1996.
[4] Y. F. Huang, “The EOQ and EPQ models with backlogging and defective items using the algebraic approach”, Journal of Statistics and Management Systems, vol. 6, pp. 171-180, 2003.
[5] E. Markowski, “EOQ modification for future price increases”, Journal of Purchasing & Materials Management, vol. 22,pp. 28-32, 1986.
[6] S. Minner, S. “ A note on how to compute economic order quantities without derivatives by cost comparisons”, International Journal of Production Economics, vol. 105, pp. 293-296, 2007.
[7] E. Naddor, “Inventory Systems”, Wiley, New York, 1966.
[8] S. G. Taylor and C. E. Bradley, “Optimal Ordering Strategies for Announced Price Increases”, Operations Research, vol. 33, pp. 312-325, 1985.
[9] J. T. Teng, “ A simple method to compute economic order quantities”, European Journal of Operational Research, vol. 198, pp. 351-353, 2009.
[10] R. J. Tersine, “Principles of inventory and materials management” (4th Ed.), Prentice-Hall, New Jersey, 1994.

Citation :

Kanint Teerapabolarn, "A New Method to Derive the EOQ Model with Defective Items and Known Price Increase," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 5, pp. 74-79, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I5P510